Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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circle d has its center at (4,3) and point e(-2,2) is on the circle. de…
The complete equation of circle $D$ is $(x - 4)^2+(y - 3)^2 = 37$. Substituting the coordinates of point $F(-2,8)$ to the equation of circle $D$ results in a false statement, so p…
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circle n has its center at (0, 4), and point m (2,0) is on the circle. …
Point $O(4,8)$ is not on the circle.
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given the points k(-1, -3), l(-6, 3), m(3, 3), and n(8, -4), disprove t…
The length of $KL$ is approximately $8$, while the length of $MN$ is approximately $9$.
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to prove that c divides $overline{ab}$ into two congruent segments, we …
By showing that $C$ is the mid - point of $\overline{AB}$ using the mid - point formula, we prove that $C$ divides $\overline{AB}$ into two congruent segments.
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points c and d are plotted in the coordinate plane with coordinates (1,…
The length of \(\overline{CD}\) can be found using the distance formula.
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use the distance formula to find the lengths of the sides of the quadri…
$KL=\sqrt{29}$ units, $LM=\sqrt{17}$ units, $MN = 2\sqrt{5}$ units, $NK=2\sqrt{5}$ units
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in fig. 2.32, abcd is a cyclic quadrilateral such that ab||dc. if acd =…
$\angle A = 107^{\circ}$, $\angle B = 107^{\circ}$, $\angle C = 73^{\circ}$, $\angle D = 73^{\circ}$
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number 3: crossties l and k and parallel. both crossties are intersecte…
Number 3: $m\angle7 = 42^{\circ}$ Number 4: $m\angle4 = 62^{\circ}$ Number 5a: $x = 20$ Number 5b: $y=\frac{70}{3}$
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number 3: cross - ties l and k are parallel. both cross - ties are inte…
Number 3: \(m\angle7 = 42^{\circ}\) Number 4: \(m\angle4 = 62^{\circ}\) 5a: \(x = 20\) 5b: \(y=\frac{70}{3}\)
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when a transversal intersects parallel lines, special angle pairs are f…
1. a. Congruent (alternate interior angles) b. Supplementary (same - side exterior angles) c. Congruent (corresponding angles) d. Congruent (alternate exterior angles) e. Suppleme…
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when a transversal intersects parallel lines, special angle pairs are f…
a. $m\angle1 = 38^{\circ}$ b. $m\angle2 = 142^{\circ}$ c. $m\angle3 = 142^{\circ}$ d. $m\angle4 = 142^{\circ}$ e. $m\angle5 = 38^{\circ}$ f. $m\angle7 = 38^{\circ}$ g. $m\angle8 =…
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assignment 7.3: double - angle, half - angle, and reduction for score: …
(a) $66$ (b) $18x$
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assignment 7.3: double - angle, half - angle, and reduction score: 0/60…
$\sin(2x)=\frac{20\sqrt{14}}{81}$ $\cos(2x)=\frac{31}{81}$ $\tan(2x)=\frac{20\sqrt{14}}{31}$
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chapter 8 review score: 100/150 answered: 10/15 question 11 note: trian…
$b\approx6.9$ $A = 30.0$ $B = 60.0$
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use the law of sines to find the indicated side x in the following figu…
$156.7$
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assignment 7.2: sum and difference identities score: 50/100 answered: 3…
$-\cos x$
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use the law of sines to find the indicated side x in the following figu…
$198.3$
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consider the following triangle. apply the law of sines to the triangle…
\(\sin(\theta)=\frac{8\sin40^{\circ}}{7}\), \(\theta\approx47.2\)
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consider the following triangle. apply the law of sines to the triangle…
$42.9^{\circ}$
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solve the right - triangle. round your answers to the nearest tenth.
$c = 39.6$, $a = 29.0$, $B = 43^{\circ}$
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solve the right - triangle. round your answers to the nearest tenth.
$b = 28.3$, $a = 20$, $B = 45^{\circ}$
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a kite flying in the air has a 95 - ft string attached to it, and the s…
79.7 ft
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a ladder leans against the side of a house. the angle of elevation of t…
$24.8$ ft
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a 14 - ft ladder leans against the side of a house. the angle of elevat…
$12.7$ ft
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which transformation type correctly describes the transformation from t…
Rotation (not slide)
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graph the points (4, 1), (-4.5, 3), and (1, -4) on the coordinate plane…
The points $(4,1)$, $(-4.5,3)$ and $(1,-4)$ are plotted on the coordinate plane as described above.
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graph the points (4, 1), (-4.5, 3), and (1, -4) on the coordinate plane…
# Explanation: ## Step1: Recall coordinate - point plotting rule In a coordinate plane, for a point $(x,y)$, $x$ is the horizontal (abscissa) and $y$ is the vertical (ordinate) di…
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geometry - opt 1 - topic 1 & topic 2 combined performance task alice wa…
For the first part: | Statement | Reason | |--|--| | m∠EGB=m∠DGC | Vertical angles are equal | | m∠DGE = m∠BGC | Vertical angles are equal | For Raheem's if - then statement: If A…
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practice expanding binomials using pascals triangle what is the first t…
\(2^{15}x^{15}\)
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practice expanding binomials using pascals triangle how many terms are …
# Explicación: ## Paso 1: Aplicar la regla de los términos en la expansión binomial Para la expansión de \((a + b)^n\), el número de términos es \(n + 1\). Aquí \(n = 15\), \(a=2x…
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expanding binomials using pascals triangle which row of pascals triangl…
# Explicación: ## Paso 1: Comprender la relación con el exponente Para expandir un binomio \((a + b)^n\) utilizando el triángulo de Pascal, se utiliza la fila \(n\) del triángulo …
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5 the diagram below shows two points a(p,0) and b(p√2,0), and a circle …
$p = 3$
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a 20 - ft ladder is standing up against a wall. the distance between th…
12
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the formula c = 3.14d can be used to approximate the circumference of a…
$1.242\leq d\leq1.306$
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solve the inequality. graph the solution set and write it in interval n…
The correct graph is the one with an open - circle at 3 and a ray pointing to the right (not shown in the options provided completely, but conceptually). In interval notation, the…
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solve the inequality. graph the solution set and write it x - 15 < 5(x …
The correct graph is a number line with an open circle at - 5 and the line extending to the right. In interval notation, the solution set is $(-5,\infty)$
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consider the following figure. (note that the figure is not drawn to sc…
$IH<FH < GI<FG<FI$
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ab is a translation of ab. write the translation rule. (x, y) → (x + □,…
# Explicación: ## Paso 1: Encontrar el cambio en la coordenada x Observando la gráfica, supongamos que las coordenadas de A son \((x_1,y_1)\) y de A' son \((x_2,y_2)\). Contando l…
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quadrilateral hijk is a translation of quadrilateral hijk. write the tr…
# Explicación: ## Paso 1: Encontrar el cambio en la coordenada x Observamos un punto, digamos H(-7,-8) y su imagen H'(4,0). El cambio en x es \(4 - (-7)=11\). ## Paso 2: Encontrar…
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△bcd is a translation of △bcd. write the translation rule. (x, y) → (x …
# Explicación: ## Paso 1: Encontrar el cambio en la coordenada x Observando un vértice, por ejemplo B(-8, - 9) y B'(2,1). El cambio en x es \(2-(-8)=10\). ## Paso 2: Encontrar el …
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rs is a translation of rs. write the translation rule. (x, y)→(x + □, y…
# Explicación: ## Paso1: Encontrar el cambio en la coordenada x Observando los puntos, vemos que el cambio en la coordenada x entre los puntos correspondientes es 5 unidades hacia…
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parallelogram cdef is a translation of parallelogram cdef. write the tr…
$(x,y)\to(x + 10,y + 9)$
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complete the proof that ∠prq ≅ ∠vuw. statement reason 1 (overleftrighta…
# Explanation: ## Paso 1: Dado Dado en el enunciado. ## Paso 2: Dado Dado en el enunciado. ## Paso 3: Ángulos correspondientes son congruentes Como $\overleftrightarrow{TV}\parall…
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if $overline{ab}$ has endpoints at $a(-3, -3)$ and $b(5, 3)$, what is i…
$10$
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graph the image of rectangle rstu after a reflection over the x - axis.
# Explicación: ## Paso 1: Recordar la regla de reflexión La regla para reflejar un punto $(x,y)$ sobre el eje $x$ es $(x, - y)$. ## Paso 2: Identificar los vértices del rectángulo…
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graph the image of rectangle stuv after a reflection over the x - axis.
# Explicación: ## Paso 1: Recuerda la regla de reflexión La regla para reflejar un punto $(x,y)$ sobre el eje $x$ es $(x, - y)$. ## Paso 2: Encuentra las coordenadas de los vértic…
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write the coordinates of the vertices after a rotation 270° countercloc…
$J'(-8, - 8)$ $K'(-2,-8)$ $L'(-9,-4)$
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10. check for reasonableness factor -24a³b³ - 36a³b⁴. how can you check…
10. Factored form: \(-12a^{3}b^{3}(2 + 3b)\), check by multiplying factors. 11. Factored form: \(\frac{1}{36}x^{4}y^{2}(3y - 4x)\) 12. Factored form: \(m^{2}n^{4}p^{3}(m^{6}p^{2}-…
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given the information marked on the figures below, classify each quadri…
The first figure: Parallelogram The second figure: Parallelogram The third figure: Parallelogram The fourth figure: Parallelogram
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question graph the parabola given by the equation $x^{2}=-13y$ by first…
The axis of symmetry is the $y$ - axis ($x = 0$), and the endpoints of the latus rectum are $(\frac{13}{2},-\frac{13}{4})$ and $(-\frac{13}{2},-\frac{13}{4})$.
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in the rectangle below, (ei = 2x + 2), (fh=3x + 14), and (mangle ihe = …
$GI = 26$ $m\angle FIG=62^{\circ}$
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in the rectangle below, $jn = 3x + 5$, $ln=6x - 7$, and $mangle jnm = 9…
$KM = 34$, $m\angle NLK=49^{\circ}$
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write an expression for the area of the rectangle and simplify your ans…
$x^{2}-25$
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in the rectangle below, $jn = 3x - 6$, $km = 36$, and $mangle nlm = 42^…
$x = 8$ $m\angle NKL=48^{\circ}$
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write an expression for the area of the square and simplify your answer…
$x^2-2x + 1$
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graph the parabola given by the equation below. $(x + 1)^2=4(y - 3)$ pr…
The graph of the parabola $(x + 1)^2=4(y - 3)$ has a vertex at $(-1,3)$, opens upwards, and can be drawn by plotting the vertex and additional points such as $(-3,4)$ and $(1,4)$ …
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graph the following parabola by moving the vertex and an endpoint of th…
The vertex of the parabola \((y + 1)^2 = 4x\) is \((0,-1)\), and the endpoints of the latus - rectum are \((1,1)\) and \((1,-3)\). Graph by plotting these points and drawing a smo…
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question graph the parabola given by the equation (x + 1)^2 = -16(y - 4…
Vertex: $(-1,4)$; End - point of latus rectum: $(7,0)$ or $(-9,0)$
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a psychologist asks people to envision a circle. next he asks them to d…
B. formal concept
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leveled practice in 1 - 4, factor each algebraic expression. 1. 12x² - …
1. \(3x(4x - 3)\) 2. \(5m^{2}(-2m + 5)\) 3. \(8n^{3}(3n^{2}-2)\) 4. \(7a^{2}b^{8}(-3a^{4}+5b)\) 5. \(9k^{3}(7k - 3)\) 6. \(-6d(3d + 4)\) and \(-2\cdot3d(3d + 4)\) 7. \(16x^{3}y^{4…
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question what is the standard form of the equation of the parabola with…
$(x + 2)^2=-2(y + 3)$
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question what is the standard form of the equation of the parabola with…
$(y + 3)^2=-12(x - 4)$
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find the endpoints of the latus rectum of the parabola below. (x - 2)^2…
The endpoints of the latus rectum are \((3,-\frac{5}{2})\) and \((1,-\frac{5}{2})\).
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determine the expression for the width of a rectangle the area, $a$, of…
$10x - 6$
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question find the endpoints of the latus rectum of the parabola below. …
$(\frac{9}{4},-\frac{5}{2})$ and $(\frac{9}{4},-\frac{7}{2})$
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question find the endpoints of the latus rectum of the parabola below. …
\((3,11)\) and \((3, - 9)\)
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question what is the standard form of the equation of the parabola with…
$(y + 1)^2=28(x + 2)$
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question what is the standard form of the equation of the parabola with…
$(y + 1)^2=32(x + 2)$
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question find the endpoints of the latus rectum of the parabola with eq…
\((1,-10)\) and \((-19,-10)\)
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question given the parabola below, find the endpoints of the latus rect…
The endpoints of the latus rectum are \((\frac{3}{2},-2)\) and \((\frac{3}{2},-4)\).
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graph the points (9, -7) and (7, -5) on the coordinate plane. click to …
Points $(9, - 7)$ and $(7, - 5)$ are graphed on the coordinate plane as described above. (Since this is a graphing task and can't be directly shown in text, the description of the…
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problem 6 in this figure, segment bc is parallel to segment de how do y…
The two triangles $\triangle ABC$ and $\triangle ADE$ are similar by the AA (angle - angle) similarity criterion because $\angle ABC=\angle ADE$, $\angle ACB=\angle AED$ due to $B…
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question 5 of 10 how many foci does the graph of a hyperbola have? a. 2…
A. 2
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question 4 of 10 the hyperbolas ____ is the point halfway between its t…
B. center
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question 3 of 10 the line segment that connects the two vertices of a h…
C. transverse
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2.2.4 quiz: geometry of hyperbolas and parabolas question 2 of 10 the l…
A. 7
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question 1 of 10 the vertex is the extreme point of a parabola and is l…
A. directrix
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question 10 of 10 in the ellipse shown below, each point marked with a …
A. focus
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both the red and blue line segments stretch from the center of the circ…
A. 7
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question 8 of 10 the length of the major axis of the ellipse below is 1…
A. 13
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question 7 of 10 which of these is the best definition of an ellipse? a…
D. The set of all points in a plane for which the sum of the distances to two fixed points equals a certain constant
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which of these is the best definition of a circle? a. the set of all po…
B. The set of all points in a plane that are a certain distance from a single point
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graph the points (5, -2) and (-0.5, 1) on the coordinate plane. click t…
The point $(5,-2)$ is 5 units right and 2 units down from the origin, and the point $(-0.5,1)$ is 0.5 units left and 1 unit up from the origin. On a physical or digital graph, the…
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graph the points (-2, 2), (1, 0.5), and (-0.5, -2) on the coordinate pl…
The points (-2, 2), (1, 0.5), and (-0.5, -2) are graphed on the coordinate - plane following the above steps.
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graph the points (10, -7) and (6, -3) on the coordinate plane. click to…
The points (10, - 7) and (6, - 3) are graphed on the coordinate - plane following the above steps.
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graph the points (4, -2), (-10, 2), and (-4, 4) on the coordinate plane…
The points $(4, - 2)$, $(-10,2)$ and $(-4,4)$ are graphed on the coordinate - plane following the above steps.
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1. the surface quality of a work, often what it would or does feel like…
1. Texture 2. Assemblage 3. Abstract 4. Symmetrical 5. Gouache 6. Montage 7. Relief 8. Foreshortening 9. Tempera 10. Encaustic 11. Color 12. Earthwork 13. Craft 14. Negative Space…
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p. 83 ai - je bien compris? 3. laire dun rectangle est représentée le p…
$8a$
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4x + 12 < -68
The second option (the one with an open circle at - 20 and the arrow pointing to the left)
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3x + 50 ≤ 5 -30 -25 -20 -15 -10 -5 0 5 10 15 20 25 30 x < -15 -30 -25 -…
$x\leq - 15$ (corresponds to the option where there is a closed - circle at - 15 and the arrow points to the left on the number line)
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select the graph that best represents the inequality. $x\\geq2$
The second option (the one with a closed circle at 2 and an arrow pointing to the right on the number - line).
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select the graph that best represents the inequality. x < -20
The first graph (the one with an open circle at -20 and the arrow pointing to the left).
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select the graph that best represents the inequality. -15 ≥ x
The third graph (with a closed circle at -15 and an arrow pointing to the left)
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select the graph that best represents the inequality. x > -2
The graph with an open - circle at $x = - 2$ and an arrow pointing to the right. Looking at the options, it is the fourth graph (assuming the order from top - to - bottom as 1st, …
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question suppose that $vec{u}=langle - 4,3 angle$ and $vec{v}=langle - …
A. $97^{\circ}$
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question suppose that $vec{u}=langle - 9,1 angle$ and $vec{v}=langle 5,…
$153^{\circ}$
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question a boat leaves the marina and sails 13 miles northeast, then 12…
A. $66.55^{\circ}$ W of S
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question starting from an airport, an airplane flies 200 miles southwes…
372.06
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question allison heads out on a three - day sailing trip. on the first …
118 miles
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question a fox leaves its den and travels 925 yards southeast, then 750…
602.91