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alexandr402 [8]

3 years ago

6

Solve by completing the square

1 answer:

Levart [38]3 years ago

7 0

32 =172627 + 12 3xxx - 10 therefore it is B

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AB is dilated by a scale factor of 3 to form AB . Point O is the center of dilation, and point O lies on AB . If the slope of AB

avanturin [10]

<h2>Answer:</h2>

Option: D is the correct answer.

D. The slope of is 3, and passes through O.

<h2>Step-by-step explanation:</h2>

It is given that:

AB is dilated by a scale factor of 3 to form AB .

Also, the line AB pass through the origin.

So, if AB pass through (0,0) and some point (x,y) then the slope of line AB is:

$Slope=\dfrac{y-0}{x-0}\\\\i.e.\\\\Slope=\dfrac{y}{x}=3$

( Since, it is given the slope of AB is 3 )

Now , if AB is dilated to A'B' by a scale factor of 3 then

(0,0) → (0,0)

and

(x,y) → (3x,3y)

i.e. (0,0) and (3x,3y) will lie on A'B'.

Hence, the slope of line A'B' is given by:

$Slope=\dfrac{3y-0}{3x-0}\\\\i.e.\\\\Slope=\dfrac{3y}{3x}\\\\i.e.\\\\Slope=\dfrac{y}{x}=3$

Hence, both have the same slope.

The answer is : Option: D

5 0

4 years ago

What instrument is used to measure milliliters

almond37 [142]

Measuring cups
that should be correct

3 0

4 years ago

Read 2 more answers

How do I simplify an expression using the distributive property?

vladimir2022 [97]

You multiply the number outside the parenthesis with both of the numbers in the parenthesis separately.

4 0

4 years ago

Find the area of the regular polygon with the given radius or apothem. Why is the area?

Svetradugi [14.3K]

Answer:56.52

Step-by-step explanation:2x3.14=6.28

6.28x3=18.84

18.84x3=56.52

7 0

3 years ago

Sloane kicked a soccer ball at a speed of 48 feet per second. If the ball never leaves the ground, then it can be represented by

Ierofanga [76]

Answer:

For t = 0.33 s, H = 14.0976 feet;

For t = 3 s, H = 0 feet;

For t = 16 s, H = -3328 feet;

For t = 48 s, H = -34560 feet.

Step-by-step explanation:

Assuming there's a typo on the problem and it wishes to determine the distance traveled by the ball in the given times instead of the time, we can solve it as shown below:

For t = 0.33 s:

$H(t) = -16*t^2 + 48*t\\H(0.33) = -16*(0.33)^2 + 48*0.33\\H(0.33) = -1.7424 + 15.84\\H(0.33) = 14.0976 \text{ feet}$

For t = 3 s:

$H(t) = -16*t^2 + 48*t\\H(3) = -16*(3)^2 + 48*3\\H(3) = -144 + 144\\H(3) = 0 \text{ feet}$

For t = 16 s:

$H(t) = -16*t^2 + 48*t\\H(16) = -16*(16)^2 + 48*16\\H(16) = -4096 + 768\\H(16) = -3328 \text{ feet}$

For t = 48 s:

$H(t) = -16*t^2 + 48*t\\H(48) = -16*(48)^2 + 48*48\\H(48) = -36864 + 2304\\H(16) = -34560 \text{ feet}$

7 0

3 years ago

Read 2 more answers