4. Lynn can walk two miles intenta

Which equation represents the line that is perpendicular to y= 3/4x + 1 and passes through (-5, 11)

ArbitrLikvidat [17]

The equation which represents the perpendicular line is y = $-\frac{4}{3}$ x + $\frac{13}{3}$ ⇒ A

Step-by-step explanation:

Let us revise the relation between the slopes of the perpendicular lines

The product of the slopes of the perpendicular lines is -1
That means if the slope of one of them is m, then the slope of the other is
reciprocal the slope of a line and change its sign to find the slope of the perpendicular line to it

The form of the linear equation is y = m x + b, where m is the slope of the line and b is the y-intercept (y at x = 0)

∵ The equation of the given line is y = $\frac{3}{4}$ x + 1

- Compare it with form of the equation above

∴ m = $\frac{3}{4}$ ⇒ slope of the given line

- To find the slope of the perpendicular line reciprocal it and

change its sign

∴ The slope of the perpendicular line = $-\frac{4}{3}$

Let us write the equation of the perpendicular line

∵ y = m x + b

∴ y = $-\frac{4}{3}$ x + b

- To find b substitute x and y in the equation by the coordinates

of a point on the line

∵ The perpendicular line passes through the point (-5 , 11)

∴ x = -5 and y = 11

- Substitute it in the equation

∴ 11 = $-\frac{4}{3}$ (-5) + b

∴ 11 = $\frac{20}{3}$ + b

- Subtract $\frac{20}{3}$ from both sides

∴ $\frac{13}{3}$ = b

∴ y = $-\frac{4}{3}$ x + $\frac{13}{3}$

The equation which represents the perpendicular line is

y = $-\frac{4}{3}$ x + $\frac{13}{3}$

Learn more:

You can learn ore about the perpendicular lines in brainly.com/question/2601054

#LearnwithBrainly

6 0

3 years ago

Marshall uses the polynomial identity (x−y)^2=x^2−2xy+y^2 to show that 8² = 64.

vladimir2022 [97]

For this case we have the following data:

Polynomial identity: $(x-y) ^ 2 = x ^ 2-2xy + y ^ 2\\$

We want to show that: $8^2 = 64$

Let's suppose:

$x = 8\\\\y = 0\\$

Substituting in the identity we have:

$(8-0) ^ 2 = 8 ^ 2-2 (8) (0) + 0 ^ 2\\\\(8) ^ 2 = 64-0 + 0\\\\8 ^ 2 = 64\\$

Thus, we can use $(x, y) = (8,0)$ to prove the identity.

Answer:

$(x, y) = (8,0)$

5 0

3 years ago

I need help ASAP -2x^2+x 9-25x^2+8x X^5+x^3-x^2-1

nika2105 [10]

Answer:

For $-2x^2+x$ , Leading coefficient is -2, Degree is 2, Constant term is 0

For $9-25x^2+8x$ , Leading coefficient is -25, Degree is 2, Constant term is 9

For $x^5+x^3-x^2-1$ , Leading coefficient is 1, Degree is 5, Constant term is -1

Step-by-step explanation:

Given:

Polynomials:

$-2x^2+x\\9-25x^2+8x\\x^5+x^3-x^2-1$

To find: leading coefficient, constant term and degree

Solution:

Leading coefficient is the coefficient of the variable with the highest power.

Degree is the highest power of the variable.

The term of degree 0 is the constant term of a polynomial.

For $-2x^2+x$ ,

Leading coefficient is -2

Degree is 2

Constant term is 0

For $9-25x^2+8x$

Leading coefficient is -25

Degree is 2

Constant term is 9

For $x^5+x^3-x^2-1$

Leading coefficient is 1

Degree is 5

Constant term is -1

4 0

3 years ago

Write a number decreased by 7 is at most 13

Luba_88 [7]

X-7≤13
x is the number
it is decreased(subtracted) by 7
less than or equal to is at most

4 0

3 years ago

Adrian ordered a blue-denim jacket for $69.75 and 2 sweaters for $55 each. With 7% sales tax and shipping below, how much was hi

Leni [432]

Your answer would be A

6 0

3 years ago

Read 2 more answers