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qwelly [4]
3 years ago
7

In the equation y = X - 5, the y-intercept is

Mathematics
2 answers:
Semenov [28]3 years ago
8 0
-5 is the intercept since y=mx+b, b being the intercept.
DochEvi [55]3 years ago
4 0

Answer:

(0, -5)

Step-by-step explanation:

The y-intercept of a graph is where the graph of the function intersects the y-axis. This means that the x-coordinate of the point is zero. To find the y-intercept of a line, when given the equation of the line, substitute (0) in for (x) and solve the equation,

y = x - 5

x = 0

y = 0 - 5

y = -5

This gives the resulting point of (0, -5) for the y-intercept of the line.

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A triangle is graphed in the coordinate plane. The vertices of the triangle have coordinates (–3, 1), (1, 1), and (1, –2). What
vladimir2022 [97]

Answer:

The perimeter of the triangle is 12\ units

Step-by-step explanation:

Let

A(-3,1),B(1,1),C(1,-2)

we know that

The perimeter of triangle is equal to

P=AB+BC+AC

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

step 1

Find the distance AB

A(-3,1),B(1,1)

substitute in the formula

AB=\sqrt{(1-1)^{2}+(1+3)^{2}}

AB=\sqrt{(0)^{2}+(4)^{2}}

AB=4\ units

step 2

Find the distance BC

B(1,1),C(1,-2)

substitute in the formula

BC=\sqrt{(-2-1)^{2}+(1-1)^{2}}

BC=\sqrt{(-3)^{2}+(0)^{2}}

BC=3\ units

step 3

Find the distance AC

A(-3,1),C(1,-2)

substitute in the formula

AC=\sqrt{(-2-1)^{2}+(1+3)^{2}}

AC=\sqrt{(-3)^{2}+(4)^{2}}

AC=5\ units

step 4

Find the perimeter

P=AB+BC+AC

substitute the values

P=4+3+5=12\ units

6 0
4 years ago
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3 years ago
What is the average rate of change of the function over the interval x = 0 to x = 8?
goblinko [34]

Answer:

-13/400

Step-by-step explanation:

The pertinent formula is

                             change in f(x) over [a, b]        f(8) - f(0)

a. r. of change = --------------------------------------- = ----------------

                              change in x over [a, b]               8 - 0

Continuing these calculations, we get:

                               2(8) - 2              2(0) - 2        14/8           -2/8

                     (1/8) -------------- - (1/8) ------------- = -----------  -  -----------

                                5(8) - 6              5(0) - 6       40 - 6           -6

                         

                                                                                7/4       1/4

This simplifies to    average rate of change =      ------- - --------

                                                                                  34         6

                                                                                    7                 1

                                                                          =   ------------- - ---------- = -13/400

                                                                                   136             24

8 0
3 years ago
Figure out what n equals in this equation:<br> 6n + 4 = -26
aniked [119]

Answer:

n=-5

Step-by-step explanation:

6n+4=-26

=>6n=-26-4

=>6n=-30

=>n= -30/6

=>n=-5

7 0
3 years ago
Read 2 more answers
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