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2 years ago

Write an equation of the line that passes through (-4, -1) and is perpendicular to the line y= 4/3x+6.

Mathematics

1 answer:

scoundrel [369]2 years ago

3 0

Answer:

y = (-3/4)x - 4

Step-by-step explanation:

The slopes of perpendicular lines are opposite reciprocals of each other. In other words, if the slope of one line is a/b, then the slope of the line perpendicular to it would be -b/a.

Here, the given slope is 4/3, so the slope of the perpendicular line is -3/4.

We are given a point (-4, -1) and we know the slope, so we can find the point-slope form of the line. Point-slope form is written as y - y1 = m(x - x1), where (x1,y1) is the point and m is the slope. Here, x1 = -4 and y1 = -1 and m = -3/4. So:

y - y1 = m(x - x1)

y - (-1) = (-3/4) * (x - (-4)) = (-3/4) * (x + 4)

y + 1 = (-3/4)x + (-3/4) * 4 = (-3/4)x - 3

y = (-3/4)x - 3 - 1

y = (-3/4)x - 4

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Find the angles of a parallelogram in which an exterior angle is one-third that its interior angle.

iogann1982 [59]

Answer:

The angles of a parallelogram are 135°-45°-135°-45°

Step-by-step explanation:

we know that

In a parallelogram opposites angles are congruent and consecutive angles are supplementary

Remember that

The sum of a exterior angle and its interior angle is equal to 180 degrees

Let

x ----> the measure of one interior angle of parallelogram

y ----> the measure of the other interior angle of parallelogram

we have that

$x+\frac{x}{3}=180^o$

solve for x

$\frac{4}{3}x=180^o\\\\x=(180^o)3/4\\\\x=135^o$

Find the measure of the other interior angle of parallelogram

Remember that consecutive interior angles are supplementary

$x+y=180^o$

substitute the value of x

$135^o+y=180^o$

solve for y

$y=45^o$

therefore

The angles of a parallelogram are 135°-45°-135°-45°

3 0

3 years ago

Y = 4x – 18 y = -5x +9

adelina 88 [10]

Answer:

(3, -6)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Coordinates (x, y)
Terms/Coefficients
Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = 4x - 18

y = -5x + 9

Step 2: Solve for x

Substitution

Substitute in y [2nd Equation]: 4x - 18 = -5x + 9
[Addition Property of Equality] Add 5x on both sides: 9x - 18 = 9
[Addition Property of Equality] Add 18 on both sides: 9x = 27
[Division Property of Equality] Divide 9 on both sides: x = 3

Step 3: Solve for y

Substitute in x [1st Equation]: y = 4(3) - 18
Multiply: y = 12 - 18
Subtract: y = -6

5 0

2 years ago

Read 2 more answers

16x - 5y = -33 16x + y = -51

timofeeve [1]

Use the elimination process

6 0

2 years ago

Read 2 more answers

According to the Census Bureau, in 2014 California had an estimated population of 3.88 x 10^7 and Wyoming had an population of 5

Verdich [7]

The population of California is 3.88 x 10^7 - 5.84 x 10^5 = 3.82 x 10^7 more than the population of Wyoming. Alternatively the population of California is 3.88 x 10^7 / 5.84 x 10^5 = 66 times the population of Wyoming.

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.

8 0

2 years ago

Solve for e: E=〖mc〗^2 M = 3 C = 6

kompoz [17]

E = 3(6^2)

E = 3(36)

And your answer is E = 108 :)

8 0

2 years ago