幾何
三角形、圓、解析幾何與證明題。
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1. sketch the following quadric surface. \\(\\frac{y^2}{9} + z^2 = 1\\)
The quadric surface \(\frac{y^{2}}{9}+z^{2}=1\) is an elliptic cylinder extending along the \(x\)-axis. The cross - section in the \(y - z\) plane is the ellipse \(\frac{y^{2}}{3^…
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question: consider the function ( y = 2sin(x) ) for ( 0^circ leq x leq …
The graph of \(y=2\sin(x)\) for \(0^\circ\leq x\leq360^\circ\) has key points: - X-intercepts: \((0^\circ,0)\), \((180^\circ,0)\), \((360^\circ,0)\) - Maximum: \((90^\circ,2)\) - …
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in the coordinate plane, points a, b, and c have coordinates (1,2), (4,…
1. The shape is a right - triangle. 2. The area of the figure is \(4.5\) 3. The coordinates of point \(D\) are \((1,-1)\)
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graph each equation. 9) $\frac{x^2}{4} + \frac{y^2}{9} = 1$
To graph the ellipse \(\boldsymbol{\frac{x^2}{4}+\frac{y^2}{9}=1}\): 1. Plot the vertices \((0, 3)\) and \((0,-3)\) (on the \(y\) - axis, 3 units from the origin). 2. Plot the co …
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construct a 35° angle.
The \( 35^\circ \) angle is constructed as described (with ray \( OA \), protractor alignment, marking \( 35^\circ \) at \( B \), and drawing \( OB \)).
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graph each equation. 9) $\frac{x^2}{4} + \frac{y^2}{9} = 1$
根据上述步骤，可绘制出方程\(\frac{x^{2}}{4}+\frac{y^{2}}{9}=1\)的椭圆图像。
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graph each equation. 9) $\frac{x^2}{4} + \frac{y^2}{9} = 1$
根据上述步骤，可绘制出椭圆\(\frac{x^{2}}{4}+\frac{y^{2}}{9}=1\)的图像，其长轴顶点为\((0,3)\)、\((0, - 3)\)，短轴顶点为\((2,0)\)、\((-2,0)\)，用平滑曲线连接这些顶点得到椭圆图形。
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leah wants to prove that the angle - side - angle (asa) criterion is su…
Translation and rotation preserve angle measure, so $m\angle E''G''F'' = m\angle HJI$.
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question: in the coordinate plane, points a, b, and c have coordinates …
1. Right triangle 2. 4.5 3. (1, -1)
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graph each equation. 9) \\( \\frac { x ^ { 2 } } { 4 } + \\frac { y ^ {…
An ellipse centered at the origin with vertices at $(\pm2,0)$ and $(0,\pm3)$ (graph drawn through these points).
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question: in the coordinate plane, points a, b, and c have coordinates …
1. Right triangle 2. 4.5 3. (1, -1)
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question: in the coordinate plane, points a, b, and c have coordinates …
Right triangle
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question: in the coordinate plane, points a, b, and c have coordinates …
Right triangle ---
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in the coordinate plane, points a, b, and c have coordinates (1,2), (4,…
Right triangle
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question: in the coordinate plane, points a, b, and c have coordinates …
Right triangle
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in the coordinate plane, points a, b, and c have coordinates (1,2), (4,…
1. Right triangle 2. 4.5 3. (1, -1)
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determine the remaining sides and angles of the triangle abc. a = 200 m…
- \( B = \boldsymbol{113^\circ 40'} \) - \( b = \boldsymbol{304} \) m - \( c = \boldsymbol{164} \) m
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in the coordinate plane, points a, b, and c have coordinates (1,2), (4,…
1. The shape is a right - triangle. 2. The area of the figure is \(4.5\). 3. The coordinates of point \(D\) is \((1,-1)\).
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in the coordinate plane, points a, b, and c have coordinates (1,2), (4,…
1. The shape of the figure formed by \(A\), \(B\), and \(C\) is a right - triangle. 2. The area of the figure (right - triangle \(ABC\)) is \(4.5\). 3. The coordinates of point \(…
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determine the remaining sides and angles of the triangle abc. a = 109.6…
\(B = \boxed{39.8}^\circ\) \(a \approx \boxed{463.6}\) \(b \approx \boxed{315.4}\)
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determine the remaining sides and angles of the triangle abc. a = 18.47…
\(C = 141.21^\circ\) \(a\approx9.80\) m \(b\approx10.76\) m
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determine the remaining sides and angles of the triangle abc. c = 7 mi,…
- \(A = 108.03^\circ\) - \(a = 12\) mi - \(b = 8\) mi
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determine the remaining sides and angles of the triangle abc. the measu…
The measure of angle B is \( 63.9^\circ \) The length of side a is \( 13.6 \) ft The length of side b is \( 43.4 \) ft
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solve the equation in degrees for all exact solutions where appropriate…
B. \(0^{\circ}+360^{\circ}n,120^{\circ}+360^{\circ}n,240^{\circ}+360^{\circ}n\), where \(n\) is any integer
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question 8 sketch a graph of $f(x)=\\begin{cases}2&\\text{if }x\\leq - …
The graph consists of: 1. A horizontal line $y=2$ for $x\leq-1$ (closed circle at $(-1,2)$). 2. A line $y=-x+1$ from open circle $(-1,2)$ to closed circle $(2,-1)$. 3. A horizonta…
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unit squares can be different sizes. the size of a unit square determin…
Las medidas de área son diferentes porque se usaron tamaños distintos de cuadros unitarios.
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in the coordinate plane, points a, b, and c have coordinates (1,2), (4,…
1. Right - angled triangle 2. \(4.5\) 3. \((1,-1)\)
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homework assignment #7.2 score: 10/16 10/16 answered question 11 solve …
Simplified radical: $9\sqrt{3}$ Decimal: $15.6$
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a satellite dish is shaped like a paraboloid of revolution. this means …
The receiver should be placed 28 feet above the vertex.
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score on last try: 0 of 1 pts. see details for more. > next question ge…
Simplified radical: $x = 9\sqrt{3}$ Decimal: $x = 15.6$
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question 11 solve for x. write your answers as a simplified radical and…
Simplified radical: $9\sqrt{3}$ Decimal: $15.6$
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finish drawing unit squares to cover the figures and find the area. use…
3 16 6 8
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homework assignment 8.3 the parabola score: 6.35/13 answered: 9/13 ques…
Coordinates of the vertex: (2, -1) Coordinates of the focus: (2, 8)
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homework assignment 8.3 the parabola score: 5.35/13 answered: 8/13 ques…
$(y-9)^2 = -8(x +1)$
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homework assignment 8.3 the parabola due friday by 11:59pm points 13 su…
$(x + 10)^2 = -12(y + 2)$
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12) rotation 180° about the origin
The coordinates of the rotated points are \( R'(7, - 3) \), \( S'(5, - 4) \), and \( T'(2, - 1) \). To graph the rotated triangle, plot these points and connect them.
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find the vertex, focus, and directrix for the following parabolas. (a) …
(a) vertex: $(5,9)$; focus: $(8,9)$; directrix: $x=2$ (b) vertex: $(0,5)$; focus: $(3,5)$; directrix: $x=-3$ (c) vertex: $(4,3)$; focus: $(4,6)$; directrix: $y=0$ (d) vertex: $(-1…
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use the figure to evaluate ( a + b ), ( a - b ), and ( - a )( a + b = l…
\( \langle 0, 0 angle \)
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find the focus, directrix, vertex and axis of symmetry for the parabola…
Focus = (0, -2) Directrix = x = 4 Vertex = (2, -2) Axis of symmetry = y = -2 (Note: Graphing instruction requires plotting the vertex (2,-2), focus (0,-2), directrix x=4, and draw…
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find the focus, directrix, vertex and axis of symmetry for the parabola…
Vertex = $(2, -3)$ Focus = $(2, -1)$ Directrix = $y = -5$ Axis of symmetry = $x = 2$ (Note: Graphing instructions involve plotting the parabola opening upward with vertex at (2,-3…
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homework assignment 8.3 the parabola score: 3.6/13 answered: 3/13 quest…
$x^2 + 2x + 12y - 35 = 0$ (or $(x+1)^2 = -12(y-3)$)
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find the equation for the parabola that has its vertex at the origin an…
\( x^2 + y^2 = -\frac{4}{43}z \)
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find an equation for the parabola that has its vertex at the origin and…
$y^2 = -\frac{54}{5}x$
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solve the triangle. b = 68°51, c = 38 m, a = 73 m what is the length of…
- Length of side \( b \): \( \boxed{69} \) - Measure of angle \( A \): \( \boxed{80^\circ 6'} \) - Measure of angle \( C \): \( \boxed{31^\circ 3'} \)
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10. in overlapping triangles, a common side or angle is congruent to it…
Reflexive
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what other information do you need in order to prove the triangles cong…
C. \(\angle BAC\cong\angle DAC\) ### Question 8
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4. is there enough information to conclude the two triangles are congru…
B. Yes, \( \triangle ACB\cong\triangle ACD \) ### Question 5
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3. can you use the asa postulate, the aas theorem, or both to prove the…
C. either ASA or AAS
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1. given: \\( \\overline{xy} \\cong \\overline{zw} \\) and \\( \\overli…
C. SSS; Corresponding parts of congruent triangles are congruent. ### Question 2
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Question was provided via image upload.
The figure is a reflection over the \( y \) - axis (if the question was about transformation; adjust based on actual question). If your actual question was different (like finding…
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graph each equation. 9) \\( \\frac { x ^ { 2 } } { 4 } + \\frac { y ^ {…
The ellipse has vertices \((0,3)\) and \((0, - 3)\), co - vertices \((2,0)\) and \((-2,0)\). Sketch the ellipse by connecting these four points with a smooth curve.
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solve the triangle. a = 4.29 m c = 5.94 m b = 25.1° what is the length …
The length of side \(b\) is \(\boxed{2.7447}\) m.
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graph each equation. 9) $\\frac{x^{2}}{4}+\\frac{y^{2}}{9}=1$
Plot the points \((0,3)\), \((0, - 3)\), \((2,0)\), \((-2,0)\) and draw an ellipse passing through them.
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question: in the coordinate plane, points a, b, and c have coordinates …
1. The shape of the figure \(ABC\) is a right - triangle. 2. The area of the figure \(ABC\) is \(4.5\). 3. The coordinates of point \(D\) is \((1,-1)\)
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4. based on the entire passage, what is the meaning of the word \moment…
D. becomes historically important
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which graph is a relation (non - function)?
C. The graph of the triangle (Graph C)
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question: in the coordinate plane, points a, b, and c have coordinates …
1. The shape of the figure formed by \(A\), \(B\), \(C\) is a right - triangle. 2. The area of the figure is \(4.5\). 3. The coordinates of point \(D\) is \((1,-1)\).
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graph each equation. 9) \\( \\frac { x ^ { 2 } } { 4 } + \\frac { y ^ {…
The ellipse has vertices \((0,3)\) and \((0, - 3)\), co - vertices \((2,0)\) and \((-2,0)\). Plot these points and draw the ellipse.
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given lines ( l ) and ( m ) cut by transversal ( t ), alternate exterio…
1. \( \angle1\cong\angle8 \), Given 2. \( \angle5\cong\angle8 \), Vertical Angles Theorem 3. \( \angle1\cong\angle5 \), Transitive Property of Congruence 4. \( l\parallel m \), Co…
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5. what is the equation of a circle that has a diameter of 10 units if …
D. $(x - 3)^2 + (y - 8)^2 = 25$
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4. write an equation for the circle whose graph is shown. $(x + 2)^{2}+…
$(x - 2)^2 + (y + 1)^2 = 9$
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3. find the coordinates of the center and the measure of the radius for…
center = (3,7), radius = $\sqrt{2}$
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2. what is the radius of a circle if its center is (-3,-2) and one poin…
B. 8
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1. write an equation for the circle whose graph is shown. $(x + 1)^2+(y…
A. $(x + 1)^2 + (y - 2)^2 = 4$
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5. what is the measure of angle r? 140° 110° 125° 70°
70°
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4. what is the measure of angle r, given the largest triangle is a righ…
78°
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3. what is the measure of angle a? 202° 44° 22° 79°
22°
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2. what is the measure of angle r? 38° 54° 36° 52°
52°
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2. what is the measure of angle r? 38° 54° 36° 52°
$16^\circ$ (Note: The provided options may have a typo, but the calculation gives 16° based on standard geometric theorems.)
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1. find the measure of angle r. 80 140 40 220
40
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5. quadrilateral abcd is inscribed in a circle. angle b measures 74°, a…
121
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4. quadrilateral abcd is inscribed in a circle. angle b measures 121°, …
B. 81
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3. the radius of the circle is congruent to the radius of an inscribed …
True
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2. quadrilateral abcd is inscribed in a circle. if angle b measures 24°…
156°
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1. you are inscribing a regular hexagon in a circle. you need to know t…
B. 6
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5. circle w has a center of point w and a radius of 5 units. point q is…
outside circle W
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4. identify the inscribed angle and the circumscribed angle. circumscri…
Circumscribed Angle JKH and Inscribed Angle HJI
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3. we have a circle with center k with an arc hj with a measure of 40°.…
20°
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2. what is the value of y? 8.7 8 4.7 4
D. 4
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1. what is the inscribed angle and the circumscribed angle? inscribed a…
Inscribed Angle STU and Circumscribed Angle SVU
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5. what is the inscribed angle and the circumscribed angle? inscribed a…
Inscribed Angle STU and Circumscribed Angle SVU
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4. what is the value of x? 19 21 38 42
19
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3. circle w has a center of point w and a radius of 5 units. point q is…
outside circle W
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2. circle w has a center of point w and a radius of 8 units. point q is…
inside circle W
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1. we have a circle with center a with an arc cb with a measure of 180°…
20 degrees
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5. am and an are tangent to circle c. if am measures 2.5 cm, what is th…
B. 2.5 cm
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4. ab is tangent to circle c. find ac to two decimal places. a 19 6 b 1…
19.92
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3. true or false: lm is tangent to circle n. true false
True
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2. true or false: uw is tangent to circle v. false true
False
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1. cd and cb are tangent to circle a. if cd = 5x - 13 and cb = 12, find…
5
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5. what are the radius and circumference of a circle with a diameter of…
Radius = 16 m, circumference = 101 m
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4. what is the measure of the arc represented by the numbers 7 and 4 on…
90°
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2. what are the radius and circumference of a circle with a diameter of…
Radius = 6 m, circumference = 38 m
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1. what is the arc length (to the nearest tenth) of major arc pq? 36.7 …
26.2
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5. in the circle with center o, which arc is congruent to arc cd? arc a…
arc AD
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4. in the circle with center e, which arc is congruent to arc cf? arc c…
arc BG
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3. in the circle below, the sum of which arcs is equivalent to arc ad? …
arc AD = arc AB + arc BD
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1. which of the following statements is true about minor central angles…
The measure of the central angle is less than \(180^\circ\).
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4. which of the following figures shows a major arc?
The second figure (with points \(A\) and \(B\) and the longer green arc)
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a rectangular area in a park is to be paved with decorative stone. the …
\(8.05\space m^{2}\)