39 Answered Questions for the topic grade11
A quadratic function has these characteristics: x = 1 is the equation for the axis of symmetry. x = –1 is an x-intercept. y = –4 is the minimum value. Determine the y-intercept of this parabola.
Question #1:A quadratic function has these characteristics:x = 1 is the equation for the axis of symmetry.x = –1 is an x-intercept.y = –4 is the minimum value.Determine the y-intercept of this...
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03/11/22
The length of a rectangle is five times greater than the width, w. What is the ratio of the area of the rectangle to the perimeter of the rectangle in simplest form?
The length of a rectangle is five times greater than the width, w. What is the ratio of the area of the rectangle to the perimeter of the rectangle in simplest form?
A rectangular poster has an...
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A carnival Ferris wheel with a radius of 9m rotates once every 10 s. The bottom of the wheel is 1m above the ground.
a) Sketch the graph showing two complete cycles if the rider starts at the bottom of the wheel.b) Find the equation of the sine function that gives a rider’s height above the ground, in metres, as...
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Graph two cycles of each of the following. State the domain and range of the cycle.
a) 2sin ((1/2)θ)b) -3cos((1/2)θ - 90) +1
07/22/21
Solve this equation for 0° ≤ 𝜃 ≤ 360°. 25 + 15𝑡𝑎𝑛𝜃 = 12𝑡𝑎𝑛𝜃 + 28
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07/22/21
Find the exact value of each trigonometric ratio.
a) cos30°b) sin225°
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07/22/21
The coordinates of a point P on the terminal arm of an ∠𝜃 in standard position are given, where 0° ≤ 𝜃 ≤ 360°. Determine the exact values of 𝑠𝑖𝑛𝜃, 𝑐𝑜𝑠𝜃, 𝑎𝑛𝑑 𝑡𝑎𝑛𝜃.
a) 𝑃(4,5) b) 𝑃(−3,−6)
07/22/21
In ∆ABC, where ∠A= 20°, a = 2 cm, and b = 5 cm
Determine the number of triangles that could be drawn with the given measures. Then, find the measures of the other angles and the other side in each possible triangle. Round to the nearest tenth,...
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07/22/21
In ∆XYZ, where ∠X = 43°, x = 2 m, and y = 4 m
Determine the number of triangles that could be drawn with the given measures. Then, find the measures of the other angles and the other side in each possible triangle. Round to the nearest tenth,...
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07/22/21
Solve the following triangle, rounding answers to the nearest tenth if necessary. In ∆𝐸𝐹𝐺, ∠𝐹 = 67.8°, 𝑓 = 12.5 𝑚, 𝑎𝑛𝑑 𝑒 = 9.8 m
This is a right triangle, I believe.
07/22/21
Solve the following triangle, rounding answers to the nearest tenth if necessary. In ∆RST, r = 12.6 m, s = 11.5 m, and t = 13.2 m
This is a right triangle, I believe.
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07/22/21
Solve each triangle. Round each measure to the nearest tenth of a unit.
a)) In ∆ABC, ∠B=90 degrees, ∠C=47.1 degrees, c=9.7 cmb)) In 𝐼𝑛 ∆𝐾𝐿𝑀,∠𝐾 = 90 degrees , 𝑚 = 12.4 𝑐𝑚 𝑎𝑛𝑑 𝑙 = 8.8𝑐m
Simplify and leave answer with a positive exponent. (x^2/3 y^1/3)^3
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Simplify and leave answers with a positive exponent. -54a^5 b^-7 / -6a^-2 b^-3
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Simplify and leave answers with a positive exponent. (4ab^4)(-5a^3b^2)=
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Evaluate the following: 1/(-5)^2. Show your work.
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