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alisha [4.7K]
3 years ago
9

What is the image of (-9,6) after a dilation by a scale factor of 4 centered at the origin?

Mathematics
1 answer:
myrzilka [38]3 years ago
3 0

Answer:

<em>( - 36, 24 ) </em>

Step-by-step explanation:

(- 9, 6) ------> ( - 9×4, 6×4) = <em>( - 36, 24 )</em>

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What is the equation of a line that passes through the point (2, 7) and is perpendicular to the line whose equation is y=x/4+5 ?
worty [1.4K]

Answer:

y = -4x+15

Step-by-step explanation:

y=x/4+5 may be presented as y = 1/4 x + 5, where a=1/4, b=5

swapping numerator and denominator and inserting an opposite sign in a=1/4, we have:

1/4 --------> 4/1 -------> -4/1 = -4

y = -4x+n

Point (2,7) means that x=2, y=7 substitute it to the equation y=-4x+n, calculate "n":

7=-4*2+n ------>    7=-8+n ------->   7+8 = n -------> 15=n

substituting n=15 to the equation y=-4x+n, we get finally y=-4x+15


8 0
3 years ago
Find the exact value of the indicated trigonometric function of θ.
Mariana [72]

Answer:

cosθ = -√(35/36)

tanθ = -1/√35

Step-by-step explanation:

We know that

sin²θ + cos²θ = 1

(1/6)² + cos²θ = 1

1 - (1/6)² = cos²θ

35/36 = cos²θ

sec θ = 1/ cosθ

1/ secθ = cos θ

Because secθ < 0, 1/ secθ would also be < 0, so cos θ < 0

cosθ = -√(35/36)

tanθ = sinθ/cosθ = (1/6)/-√(35/36)

= (1/6) / -(√35/6)

= -1/√35

8 0
3 years ago
24 x 10 x 90 = 90 x 2,400 True or False?
xenn [34]
False, 24 x 10 x 90 = 21,600, 90 x 2,400 = 216,000
6 0
3 years ago
Read 2 more answers
15 points work out ratio for x
BlackZzzverrR [31]

Answer:

x = 25

Step-by-step explanation:

x : (x+10) = 5:7

Fractional form

x / x+10 = 5/7

Cross multiply:

x * 7 = (x+10) * 5

7x = 5x + 50

7x - 5x = 5x + 50 - 5x

2x = 50

x = 25

Check:

25 : 25 + 10

25 : 35

25/35 = 5/7

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

7 0
3 years ago
Help me plz i’m posting rn
nordsb [41]

Answer:

y = 7

Step-by-step explanation:

3y+9 = 2y+16, subtract 9 from both sides, 3y = 2y + 7, then subtract 2y from both sides, y = 7, and that's the answer

3 0
3 years ago
Read 2 more answers
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