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2 years ago

Find the value of b in the triangle below.

Mathematics

1 answer:

aliya0001 [1]2 years ago

8 0

Answer:

12 ft

Step-by-step explanation:

Pythagorean Theorem: a² + b² = c²

16² + b² = 20²

256 + b² = 400

b² = 144

b = $\sqrt{144}$

b = 12

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Points E(-1, -2) and F(4, -2) are the vertices of a square. Give the coordinates of three possible pairs of points for the other

777dan777 [17]

The vertices of a square are its endpoints

The coordinates of the other pairs are: (-1, 3), (4, 3) and (-1, -7), (4, -7)

The given parameters are:

$\mathbf{E = (-1,-2)}$

$\mathbf{F = (4,-2)}$

Calculate the distance EF

$\mathbf{EF = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}$

So, we have:

$\mathbf{EF = \sqrt{(-1 - 4)^2 + (-2 - -2)^2}}$

$\mathbf{EF = \sqrt{25}}$

$\mathbf{EF = 5}$

Add 5 to the y-coordinates of E and F

$\mathbf{C = (-1,-2+5)}$

$\mathbf{C = (-1,3)}$

$\mathbf{D = (4,-2+5)}$

$\mathbf{D = (4,3)}$

Subtract 5 to the y-coordinates of E and F

$\mathbf{C = (-1,-2-5)}$

$\mathbf{C = (-1,-7)}$

$\mathbf{D = (4,-2-5)}$

$\mathbf{D = (4,-7)}$

Hence, the coordinates of the other pairs are: (-1, 3), (4, 3) and (-1, -7), (4, -7)

There is no third pair

Read more about vertices at:

brainly.com/question/2791243

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2 years ago

(8.64x10^6) + (1.334x10^10)

marta [7]

(8.64x10^6) + (1.334x10^10)
=1.334864 x 10^10

4 0

3 years ago

What are the zeros of the function? h(x)=x3−2x2−3x Select each correct answer.

Nat2105 [25]

Hello again!

It looks like you need a lot of help today. I'm glad I am able to help you!

h(x) = x³ - 2x² - 3x

The question you need to ask yourself is "How do you find the zeros of a function.

Answer: To find the zeros of a function, just set the function equal to zero then solve for x

x³ - 2x² - 3x = 0

Factor the left sides

x(x + 1)(x - 3) = 0

Now we can set factors equal to 0

x = 0 or x + 1 = 0 or x - 3 = 0

x = 0 or x = 0 - 1 or x = 0 + 3

x = 0 or x = -1 or x = 3

Thus,

The zeros of the function are: x = 0 or x = -1 or x = 3

As always, I am glad to help students like you!

8 0

3 years ago

The weight of a boy was 15kg last year. If his weight increases by 3kg this year, find the percentage increase in his weight.

WARRIOR [948]

This year = 18kg
18 x .3= 5.4
The percentage change would be 5.4%. If it needs to be rounded by the nearest tenth, then it would be 5%.
I’m pretty confident this is the answer but I’m not 100% sure. I hope this helps!

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2 years ago

F(2)=7 into coordinate points

Lisa [10]

I don’t know how to do this type stuff so sorry hope someone els can help u tho

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2 years ago