All categories

2 years ago

Write an equation for a line parallel to y=−4x+5 and passing through the point (4,-21)

Mathematics

2 answers:

NNADVOKAT [17]2 years ago

6 0

Answer:

y = - 4x - 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 4x + 5 is in this form with slope m = - 4

• Parallel lines have equal slopes, hence

y = - 4x + c ← is the partial equation of the parallel line

To find c substitute (4, - 21) into the partial equation

- 21 = - 16 + c ⇒ c = - 21 + 16 = - 5

y = - 4x - 5 ← equation of parallel line

Sindrei [870]2 years ago

3 0

Answer:

Y=-4x-5

Step-by-step explanation:

-21=-4(4)+b

-21=-16+b

b=-5

y=-4x-5

You might be interested in

If Jeff washes his car in 6 minutes and bob washes the same car in 8 minutes. How long does it take both of them to wash the sam

Tatiana [17]

Answer:

3 3/7 or 24/7 mins

Step-by-step explanation:

Let total job = X

Jeff's rate = X/6

Bob's rate = X/8

Combined rate = X/6 + X/8

(4X × 3X)/24 = 7X/24

7X/24 = X/T

T = X ÷ (7X/24)

T = X × (24/7X)

T = 24/7 mins

Shortcut:

T = product of individual times/sum of individual times

T = (6×8)/(6+8)

T = 48/14

T = 24/7

T = 3 3/7 mins

8 0

2 years ago

Read 2 more answers

I need help here’s a picture can somone explain what I need to do??

galina1969 [7]

Answer:

176 square feet

Step-by-step explanation:

add the areas of the rectangle and triangle

rectangle area is

16 times 8 which is

128

rectangle area is

1/2 times 12 times 8 which is

then add them

128 plus 48 is

176 square feet

5 0

1 year ago

X over 5 + x over 2 = 14

kaheart [24]

Answer:

Step-by-step explanation:

x = 20

5 0

2 years ago

Read 2 more answers

Classify the system of equations and identify the number of solutions.

mestny [16]

Answer:

x = all real numbers

Step-by-step explanation:

first you need to solve the first equation to figure out what y is.

4x - y = 2

add y to both sides of the equation

4x = 2 + y

subtract 2 from both sides of the equation

4x - 2 = y

now that you know what y is, you can substitute it in the next equation.

3y = 12x - 6

3(4x - 2) = 12x - 6

open the parenthesis

12x - 6 = 12x - 6

subtract 12x from both sides of the equation

-6 = -6

regardless of what x is, -6 will always equal -6.

so, the answer is all real numbers.

6 0

2 years ago

A sector of a circle has a central angle measuring 15 degrees and the radius of the circle measures 9 inches. What is the arc le

Kamila [148]

Answer:

Arc length is $\dfrac{3\pi }{4}\ \text{inches}$

Step-by-step explanation:

We have,

Central angle is 15 degrees and the radius of the circle measures 9 inches.

It is required to find the arc length of the sector.

The relation between arc length and the central angle is given by :

$\dfrac{\text{arc length}}{\text{circumference}}=\dfrac{\theta}{360}$

Circumference, $C=2\pi r=18\pi$

$\theta=15^{\circ}$

$\dfrac{x}{18\pi }=\dfrac{15}{360}\\\\\dfrac{x}{18\pi }=\dfrac{1}{24}\\\\x=\dfrac{18\pi }{24}\\\\x=\dfrac{3\pi }{4}\ \text{inches}$

Hence, the correct option is (b).

5 0

2 years ago