What is the steps to solve f(x)=x^2

Svetradugi [14.3K]

Answer:

C, F, D

Step-by-step explanation:

For each side of each triangle, think of the side as the hypotenuse of a right triangle. Then use the Pythagorean theorem to find the length of the hypotenuse, which is the side of the triangle.

Left problem:

From point C to point A, go 2 left and 7 up.

$AC = \sqrt{2^2 + 7^2} = 7.3$

From point A to point B, go 5 right and 1 down.

$AB = \sqrt{5^2 + 1^2} = 5.1$

From point B to point C, go 6 down and 3 left.

$BC = \sqrt{6^2 + 3^2} = 6.7$

Perimeter = 7.3 + 5.1 + 6.7 = 19.1

Do the same for the other triangles.

Middle problem:

From point F to point D, go 2 left and 7 up.

$FD = \sqrt{2^2 + 7^2} = 7.3$

From point D to point E, go 7 right and 2 down.

$DE = \sqrt{7^2 + 2^2} = 7.3$

From point E to point F, go 5 down and 5 left.

$EF = \sqrt{5^2 + 5^2} = 7.1$

Perimeter = 7.3 + 7.3 + 7.1 = 21.7

Right problem:

From point L to point J, go 7 left and 1 up.

$LJ = \sqrt{7^2 + 1^2} = 7.1$

From point J to point K, go 4 up and 5 right.

$JK = \sqrt{4^2 + 5^2} = 6.4$

From point K to point L, go 2 right and 5 down.

$KL = \sqrt{2^2 + 5^2} = 5.4$

Perimeter = 7.1 + 6.4 + 5.4 = 18.9

4 0

3 years ago

How many integers between 27 and 53 have a remainder of 4 divided by 6

marusya05 [52]

Answer:

There are 4 integers between 27 and 53 that have a remainder of 4 divided by 6.

Step-by-step explanation:

At first we need to find which integers between 27 and 53 are divisible by 6, which are, respectively:

$A =\{30, 36, 42, 48\}$

All integers that have a remainder of 4 divided by 6 are found by summing 4 to each element of A, that is:

$A' = \{34,40,46, 52\}$

There are 4 integers between 27 and 53 that have a remainder of 4 divided by 6.

8 0

3 years ago

A number was written on the board. one student increased the number by 23, but another student decreased the number by 1. the fi

Softa [21]

Let the number be x.

First student increased the number by 23, therefore
⇒ x + 23

Second student decreased the number by 1, therefore
⇒ x - 1

The first student's result was 7 times greater than the result of the second student's, therefore
⇒ x + 23 = 7(x - 1)

----------------------------------------------
Solve for x:
----------------------------------------------
x + 23 = 7( x- 1)
x + 23 = 7x - 7
6x = 30
x = 5

--------------------------------------------------------------------------------------------
Answer: The number on the board is 5.
--------------------------------------------------------------------------------------------

4 0

3 years ago

Read 2 more answers

9x + 8 y = -6<br> -9x - 9y - 9<br> Elimination

kolezko [41]

Answer:

x = 2, y = -3

Step-by-step explanation:

Add them together and get

9x + 8y - 9x - 9y = -6 + 9

-y = 3

so y = -3.

Sub it into the first equation and get

9x + 8(-3) = -6

9x - 24 = -6

9x = -6 + 24 = 18

x = 18/9 = 2

6 0

2 years ago

Find the equation of the line in slope intercept form that has a slope of -2 and passes through the point (6,3). Demonstrate tha

DanielleElmas [232]

Answer:

y=-2x+15

Step-by-step explanation:

First, write out the equation in slope-intercept form, with what you already have:

$y=-2x+b$

Let "b" represent the y-intercept.

To find the y-intercept, substitute the point (6,3) in for the "x" and "y" variable of the equation and solve for "b":

$3=-2(6)+b\\3=-12+b\\3+12=-12+12+b\\15=b$

Therefore, your y-intercept is 15.

That means your equation is slope-intercept form <em>is</em> y=-2x+15.

8 0

3 years ago