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2 years ago

What is the slope of y-3=-2(x+5)

Mathematics

1 answer:

BigorU [14]2 years ago

8 0

Answer: slope (m) = -2

Step-by-step explanation:

y-3=-2(x+5)

put it into y=mx+b

use PEMDAS-Parantheses, Exponents, Mult. Div. Add. Sub. for your order of operations.

first, parantheses.

-2(x+5)

-2 times x = -2x

-2 times 5 = -10

your new equation is y-3 = -2x-10

now, to get y by itself, cancel out the -3 by adding a positive 3 to both sides.

you final equation will be y=-2x-7

in the form y=mx+b, m is your slope.

therefore, -2 is your answer, or slope.

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What is an equation of the line that passes through the points (-6, 5) and (6, 7)?

e-lub [12.9K]

Answer:

$y=\frac{1}{6}x+6$

Step-by-step explanation:

Let $(x_1,y_1)\rightarrow(-6,5)$ and $(x_2,y_2)\rightarrow(6,7)$

Determine slope

$m=\frac{y_2-y_1}{x_2-x_1}\\ \\m=\frac{7-5}{6-(-6)}\\ \\m=\frac{2}{6+6}\\ \\m=\frac{2}{12}\\ \\m=\frac{1}{6}$

Use either ordered pair to find the y-intercept

$y=mx+b\\\\7=\frac{1}{6}(6)+b\\\\7=1+b\\\\6=b$

Final equation

$y=\frac{1}{6}x+6$

4 0

3 years ago

A regular polygon has an interior angle of 171 degrees. Show your work. (3 points for work, 3 points

gulaghasi [49]

Answer:

a) 40 sides

b) 6840

c) 9 gegrees

Step-by-step explanation:

interior angle= (n-2)180

$(n - 2)180 \div n = 171 \\ 180n - 360 = 171n \\ 180n - 171n = 360 \\ 9n = 360 \\ n = 360 \div 9 = 40 \\$

so total number of sides is 40

b) Sum of interior angles= (n-2)×180

(40-2)×180

38×180

6840

c) Exterior angle = 360 ÷ n

360÷40 =9 degree

7 0

3 years ago

Solve for X: -3 |2x+6| = -12

Kobotan [32]

Hello there!

-3| 2x + 6| = -12
2x + 6 = -12/-3
2x + 6 = 4
Solve absolute value
We know that 2x + 6 = 4 or 2x + 6 = -4
We have two possibilities to solve this.

1)
2x + 6 = 4
2x = 4 - 6
2x = -2
Divide both sides by -2
2x/-2 = -2/-2
x = 1

2) 2x + 6 = -4
2x = -4 - 6
2x = -10
Divide both sides by 2
2x/2 = -10/2
x = -5

Answer : X = -1 or X = -5

A+ Guaranteed!

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3 years ago

when the cartesian coordinate system is used to describe three dimensional space one needs three axes these axes are typically c

lisov135 [29]

The origin being O, the three axes are:
OX , OY and OZ

7 0

3 years ago

Ocean waves move in parallel lines toward the shore. The figure shows Sandy Beaches windsurfing across several waves. For this p

Eddi Din [679]

Angle 2 is the same as the given angle of 70 degrees so we can solve for y:

4y-30 = 70

Add 30 to both sides:

4y = 100

Divide both sides by 4:

Y = 25

Angle 1 and angle two are supplementary angles and when added together need to equal 180:

We know angle 2 = 70, so angle 1 must equal 180-70 = 110

2x + 10 = 110

Subtract 10 from both sides:

2x = 100

Divide both sides by 2:

X = 50

The answer is:

X = 50, y = 25

3 0

3 years ago

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