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Artyom0805 [142]
3 years ago
10

Triangle ABC is to be dilated through point P with a scale factor of 3. How many units away from point A along ray Ray P A will

A’ be located? Triangle A B C. Side A C has a length of 3, A B is 4, C B is 5. Point A is 5 units away from point P, the center of dilation. units
Mathematics
1 answer:
aalyn [17]3 years ago
6 0

Answer:

10 units

Step-by-step explanation:

Kebause i took the test nerds lol

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4(x+6)≤−56 it says Solve the inequality.
vlabodo [156]

\tt \: 4(x + 6) \leqslant  - 56

Divide both sides of the inequality by 4

\sf \: x + 6 \leqslant  - 14

Move the constant to the right-hand side and change its sign

\bf \: x \leqslant  - 14 - 6

Calculate the difference

\rm \: x \leqslant  - 20

And we are done solving!!~

8 0
3 years ago
Read 2 more answers
The top of a cylinder is sliced off by a plane. Determine volume of the bottom portion of the cylinder.
notka56 [123]

Answer:

Volume of bottom of cylinder = Volume of entire cylinder - Volume of top of cylinder

Step-by-step explanation:

Here we have the volume of a cylinder given by

Volume of a cylinder = πr²h

Where the cylinder is cut by a plane into portions of heights, bottom a and top b we have

Height of bottom of is then

Height = h - b

Therefore, volume of bottom of cylinder = π·r²h = π·r²(h - b)

Volume of bottom of cylinder = π·r²·h - π·r²b

Volume of bottom of cylinder = Volume of entire cylinder - Volume of top of cylinder.

8 0
3 years ago
5x+5y=-30 find the x and y intercept
Masja [62]

<em>The x and y intercept of 5x + 5y = -30 are (-6, 0) and (0, -6) respectively.</em>

<h2 /><h2>Explanation:</h2>

The Standard Form of the equation of a line is given by:

Ax+By=C \\ \\ A,B,C \ Real \ Constants \ and \ A>0

So:

5x+5y=-30

is written in Standard Form. The x and y intercepts are:

x-intercept: \ (x,0) \\ \\ y-intercept: \ (0,y)

So:

FOR X-INTERCEPT:

Let's \ set: \\ y=0 \\ \\ 5x+5(0)=-30 \\ \\ Isolating \ x: \\ \\ 5x=-30 \\ \\ x=-\frac{30}{5} \\ \\ \boxed{x=-6}

FOR Y-INTERCEPT:

Let's \ set: \\ x=0 \\ \\ 5(0)+5y=-30 \\ \\ Isolating \ x: \\ \\ 5y=-30 \\ \\ y=-\frac{30}{5} \\ \\ \boxed{y=-6}

Finally,<em> the x and y intercept of 5x + 5y = -30 are (-6, 0) and (0, -6) respectively.</em>

<h2>Learn more:</h2>

Parallel lines: brainly.com/question/12169569

#LearnWithBrainly

6 0
3 years ago
For what value of a is (a,9) a solution for the equation y=2x+1?
Ivahew [28]

Answer:

Step-by-step explanation:

(a,9).......we dont know " a " (or x) but we do know y...it is 9

so sub in 9 for y and solve for x

y = 2x + 1

9 = 2x + 1

9 - 1 = 2x

8 = 2x

8/2 = x

4 = x <======= ur answer is D

5 0
3 years ago
Suppose that y varies directly with x<br> and y = 10 when x = 20. What is y<br> when x = 15?
tresset_1 [31]

Answer: y = 7.5

Step-by-step explanation:

Suppose that y varies directly with x

That is, y∝x

Convert y∝x to a full equation by introducing a constant k to the right hand side.

Therefore, y = kx

Given that y = 10 and x = 20

Substitute y and x in the equation above. We have;

10 = k(20)

10 = 20k

20k = 10

k = 10/20

k = 0.5

Since k = 0.5, the equation y = kx becomes y = 0.5x

Now, to find y if x = 15, substitute x in equation y = 0.5x

Therefore, y = 0.5(15)

y = 7.5

5 0
3 years ago
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