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3 years ago

The triangles are similar, what is the value of x?

Mathematics

1 answer:

Kay [80]3 years ago

8 0

X=5
each side of the small triangle is multiplied by 5 to make the larger triangle and 4x5 is 20. So 20-8=12. And 3x4 is 12.

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What is the average rate of change for this function for the interval from x=3 to x=5?

timofeeve [1]

Answer:

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

$\frac{f(b)-f(a)}{b-a}$

Here [ a, b ] = [ 3, 5 ]

From the table of values

f(b) = f(5) = 32

f(a) = f(3) = 8

Hence

average rate of change = $\frac{32-8}{5-3}$ = $\frac{24}{2}$ = 12

4 0

4 years ago

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If the endpoints of the diameter of a circle are (−8, −6) and (−4, −14), what is the standard form equation of the circle? A) (x

Andrei [34K]

Answer:

$\large\boxed{A.\ (x+6)^2+(y+10)^2=20}$

Step-by-step explanation:

The standard form of an equation of a circle:

$(x-h)^2+(y-k)^2=r^2$

(h, k) - center

r - radius

We have the endpoints of the diameter of a circle (-8, -6) and (-4, -14).

The midpoint of a diameter is a center of a circle.

The formula of a midpoint:

$\left(\dfrac{x_1+x_2}{2},\ \dfrac{y_1+y_2}{2}\right)$

Substitute:

$x=\dfrac{-8+(-4)}{2}=\dfrac{-12}{2}=-6\\\\y=\dfrac{-6+(-14)}{2}=\dfrac{-20}{2}=-10$

We have h = -6 and k = -10.

The radius is the distance between a center and the point on a circumference of a circle.

The formula of a distance between two points:

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

Substitute (-6, -10) and (-8, -6):

$r=\sqrt{(-8-(-6))^2+(-6-(-10))^2}=\sqrt{(-2)^2+4^2}=\sqrt{4+16}=\sqrt{20}$

Finally we have

$(x-(-6))^2+(y-(-10))^2=(\sqrt{20})^2\\\\(x+6)^2+(y+10)^2=20$

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4 years ago

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What is the y intercept of a line that has a slope of -3 and passes through point 0.-7?

sesenic [268]

Answer:

-7

Step-by-step explanation:

(x,y) --> (0,-7) -7 is the y-intercept

3 0

3 years ago

Let y=r(x) be continuous and differentiable. Assume r'(x)=0 r′(x)=0 at x=ax=a.

Basile [38]

Answer:

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Step-by-step explanation:

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3 years ago

A number decreased by 23 is 44. Find the number.

Hoochie [10]

Answer:

Step-by-step explanation:

The number is decreased by 23 which means 23 is subtracted from the number.

let the number be x, then

x - 23 = 44 ( add 23 to both sides )

x = 67

The number is 67

3 0

3 years ago