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3 years ago

7

A triangle with vertices A(2, -2), B(-1, -1) and C(0, 2) is reflected across the y-axis and then dilated by a factor of 3 with t

he origin as the center of dilation. What is the x-coordinate of the A'?
A. 2
B. -6
C. -4
D -2

1 answer:

Scilla [17]3 years ago

4 0

C because 2 and -2 equals -4

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Please answer it now in two minutes

ziro4ka [17]

The correct answer is 4

Step by step is blew

Hopefully this help you

3 0

3 years ago

Read 2 more answers

A flagpole that was originally 24 feet tall has cracked 9 feet from the ground and has fallen as if hinged. Find

Dimas [21]

The top of the flag pole touched the ground 12 feet from the base.

Since it cracked 9 feet from the base, 9 is the vertical leg of the right triangle formed. The rest of the flagpole, 24-9=15, is the hypotenuse, as it is slanted down to the ground. The missing side is the horizontal leg, which we will call b:

9²+b²=15²
81+b²=225

Subtract 81 from both sides:
81+b²-81=225-81
b²=144

Take the square root of both sides:
√b²=√144
b=12

8 0

4 years ago

A chef planning for a large banquet thinks that 2 out of every 5 dinner guest will order his soup appetizer he expects 800 guest

Masteriza [31]

Answer:

320 cups of soup

Step-by-step explanation:

2/5= x/800

2/5 =.04

800*.04 =320 x=320

2/5 = 320/800

2/5 =0.4 is equivalent to 320/800=0.4

6 0

4 years ago

Pipe A can fill a tank in 5 hours. Pipe B can fill it in 2 hours less time than it takes pipe C, a draining pipe, to empty the t

sukhopar [10]

Answer: Time taken by pipe C to empty the tank = 5 hours.

Step-by-step explanation:

Pipe A can fill a tank in 5 hours.

Let time taken by Pipe C = x ( hours)

Time taken by Pipe B = x-2 ( hours)

Now, with all 3 pipes open, it takes 3 hours to fill the tank, it can be represented as

$\dfrac15+\dfrac1{x-2}-\dfrac1x=\dfrac 13\\\\\Rightarrow\ \dfrac{x-(x-2)}{x(x-2)}=\dfrac13-\dfrac15\\\\\Rightarrow\ \dfrac{x-x+2}{x^2-2x}=\dfrac{5-3}{15}\\\\\Rightarrow \dfrac{2}{x^2-2x}=\dfrac2{15}\\\\\Rightarrow\ x^2-2x=15\\\\\Rightarrow\ x^2-2x-15=0\\\\\Rightarrrow\ x^2-5x+3x-15=0\\\\\Rightarrow\ x(x-5)+3(x-5)=0\\\\\Rightarrow\ (x-5)(x+3)=0\\\\\Rightarrow\ x=5, -3$

Time cannot be negative,

So, x=5

Thus, Time taken by pipe C to empty the tank = 5 hours.

8 0

3 years ago

6) Add or subtract:<br> a) (4x® - 5x + 15) - (11 - 7x - 2x)<br> b)(9x- 6x® - 7x-2) + (10x - 8x + 11)

Marat540 [252]

Answer:

a) (4x® - 5x + 15) - (11 - 7x - 2x)

b)(9x- 6x® - 7x-2) + (10x - 8x + 11)

Step-by-step explanation:

a) (4x® - 5x + 15) - (11 - 7x - 2x)

b)(9x- 6x® - 7x-2) + (10x - 8x + 11)

6 0

3 years ago