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3 years ago

PLEASE ANSWER ASAP !!!! Y

Mathematics

2 answers:

alexandr1967 [171]3 years ago

8 0

Answer:

it should be x=-5

Step-by-step explanation:

h(x)=3

3=-x-2

add two to both sides so: 5=-x

divide by -1 so: -5=x

SSSSS [86.1K]3 years ago

4 0

Answer:

x = -5

Step-by-step explanation:

3 = -x - 2

5 = -x

x = -5

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a student is chosen at random from a 7th grade math class of 16 girls and 8 boys. find each probability

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3 years ago

A circle with center C(4, -2) passes through the point A(1, 3). Does the point B(8, -2) lie inside the circle?

Setler79 [48]

Answer:

Yes, point B will lie inside the circle.

Step-by-step explanation:

Let the distance between point C and point A be the radius of our given circle.

We have been given that a circle with center C(4, -2) passes through the point A(1, 3).

Since we know that a point will lie inside circle if the distance between the point and center of circle is less than radius of circle.

Let us find distance between points C and A using distance formula.

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

$\text{Radius}=\sqrt{(4-1)^{2}+(-2-3)^{2}}$

$\text{Radius}=\sqrt{(3)^{2}+(-5)^{2}}$

$\text{Radius}=\sqrt{9+25}$

$\text{Radius}=\sqrt{34}$

Radius of our circle is $\sqrt{34}$ . Now let us find distance between center of our circle and point B.

$\text{Distance between C and B}=\sqrt{(4-8)^{2}+(-2--2)^{2}}$

$\text{Distance between C and B}=\sqrt{(-4)^{2}+(-2+2)^{2}}$

$\text{Distance between C and B}=\sqrt{16+(0)^{2}}$

$\text{Distance between C and B}=\sqrt{16}$

$\text{Distance between C and B}=4$

We can see that distance of point B from center of our given circle is less than distance between point A and center of circle, therefore point B will lie inside the circle.

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3 years ago

Read 2 more answers

Part B: Factor x2 + 10x + 25. Show your work. (3 points)

Advocard [28]

$x^{2} +10x+25 \\ = x^{2} +5x+5x+25 \\ =( x^{2} +5x)+(5x+25) \\ =x(x+5)+5(x+5) \\ =(x+5)(x+5) \\ = (x+5)^{2}$

6 0

4 years ago