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Natalka [10]
2 years ago
10

What is the image of (-9,3)(−9,3) after a reflection over the y-axis?

Mathematics
1 answer:
nirvana33 [79]2 years ago
3 0

Answer:

(9, 3 )

Step-by-step explanation:

under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

(- 9, 3 ) → (9, 3 )

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Which describes the solution of a system of equations for two lines with the same slope and the same y-intercepts?
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3 years ago
Given: sinθ = -3/5, θ is a third quadrant angle, and tan φ = -7/24, φ is a second-quadrant angle; find cos(θ + φ])
Natali [406]

Answer:

First option: cos(θ + φ) = -117/125

Step-by-step explanation:

Recall that cos(θ + φ) = cos(θ)cos(φ) - sin(θ)sin(φ)

If sin(θ) = -3/5 in Quadrant III, then cos(θ) = -4/5.

Since tan(φ) = sin(φ)/cos(φ), then sin(φ) = -7/25 and cos(φ) = 24/25 in Quadrant II.

Therefore:

cos(θ + φ) = cos(θ)cos(φ) - sin(θ)sin(φ)

cos(θ + φ) = (-4/5)(24/25) - (-3/5)(-7/25)

cos(θ + φ) = (-96/125) - (21/125)

cos(θ + φ) = -96/125 - 21/125

cos(θ + φ) = -117/125

8 0
2 years ago
the length of a rectangular building is 6 feet less than 3 times t he width. The perimeter is 120 feet. Find the width and the l
garri49 [273]
Call the width x.  Note that the length is 3x-6.  We know that double the width plus double the length is 120, so we write an equation:

2(x)+2(3x-6)=120
2x+6x-12=120
8x-12=120
8x=132
x=16.5
If x is 16.5, the width is 16.5, and the length is 3 \cdot 16.5 - 6 = 43.5.
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Yusef typed a 36 word paragraph in 2/3 minute.what is his typing speed in words per minute
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So 36/(2/3)
Basically saying
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Answer:

<h2>x = 15</h2>

Step-by-step explanation:

\text{Domain:}\ x>0\\\\\log_83+\dfrac{1}{2}\log_825=\log_8x\qquad\text{use}\ n\log_ab=\log_ab^n\\\\\log_83+\log_825^\frac{1}{2}=\log_8x\qquad\text{use}\ a^\frac{1}{2}=\sqrt{a}\\\\\log_83+\log_8\sqrt{25}=\log_8x\\\\\log_83+\log_85=\log_8x\qquad\text{use}\ \log_ab+\log_ac=\log_a(bc)\\\\\log_8(3\cdot5)=\log_8x\\\\\log_815=\log_8x\iff15=x\to x=15\in D

7 0
3 years ago
Read 2 more answers
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