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3 years ago

This is the graph of f(x). What is the value of f(2)? A. 8 O O B. 4 C. 2 D. 16

Mathematics

1 answer:

Artist 52 [7]3 years ago

6 0

Answer:

c.2

Step-by-step explanation:

f(x)=2 and where is x you place it with 2 and it won't change because there is no another number is the equation of f(X)

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Find the center and radius of the circle with the given equation. Then select the correct

8_murik_8 [283]

Answer:

The center of the circle is $(-4, 7)$ .

Its radius is $5$ .

Step-by-step explanation:

Let $(a,\, b)$ represent the center of the circle, and let $r$ represent the radius of this circle. The equation for the circle would be:

$(x - a)^2 + (y - b)^2 = r^2$ .

Expand the left-hand side of this equation using the binomial expansion:

$\left(x^2 - 2\, a\,x + a^2\right) + \left(y^2 - 2\, b\, y + b^2\right) = r^2$ .

$x^2 + (- 2\,a)\, x + y^2 + (-2\, b)\, y + \left(a^2 + b^2 - r^2\right)= 0$ .

Compare this equation with the one given in the question:

$x^2 + 8x + y^2 - 14\, y + 40 = 0$ .

These two equations should represent the same circle. For that to happen, the coefficients should match. That gives a few equations about $a$ , $b$ , and $r$ .

The coefficients for $x$ should match: $(-2\,a ) =8 \implies a = -4$ .
The coefficients for $y$ should match: $(-2\, b) = -14 \implies b = 7$ .
The constant terms should match: $a^2 + b^2 - r^2 = 40$ .

However, it is already determined that $a = -4$ and $b = 7$ . That means $a^2 + b^2 - r^2 = (-4)^2 + 7^2 - r^2 = 65 - r^2$ .

$65 - r^2 = 40 \implies r^2 = 25 \implies r = 5$ .

Hence, the radius of this circle is $r = 5$ . Also, its center is at $(a,\, b) = (-4,\, 7)$ .

7 0

3 years ago

Veterinarian needs to know an animal's weight in kilograms is 20 pounds is about 9 kilograms and a dog weighs 30 pounds use a ra

givi [52]

Pounds: 10 20 30
Kilos: 4.5 9 13.5

half of 20 is 10, and half of 9 is 4.5. So every 10 pounds is 4.5 kilos. Add 10 to 20 to get 30, and add 4.5 to 9 to get 13.5. Both parts of the ratio table are increasing at the same rate (either 10 eachtime or 4.5 each time).

8 0

3 years ago

In a triangle, measure of one angle is 60º. The measure of one of the remaining two angles is twice the other. Find the measure

inna [77]

As the angle sum of triangle is 180
with one angle is 60 the sum of the remains two angles is 120

let the smallest angle be x
as the larger angle is twice of the smaller angle, it will be 2x
therefore, x+2x = 120, x= 40

so the smallest angel of the triangle is 40 degree

7 0

3 years ago

Solve for x in both triangles

GrogVix [38]

Answer:

Step-by-step explanation:

so for the triangles in 7) they angles are the same in each, that's what the lines are saying, that they are the same angles, and because the angle are the same, the triangles are just a scale of each other we can say that the X side is just a ratio of the other triangle , or

$\frac{6}{12}$ = $\frac{10}{x}$