Complete the equation of the line through (4,-8)(4,−8)left parenthesis, 4, comma, minu

Answers

Answer 1

Equation of a line is in the form y = mx+c, where m is the gradient and c is the y-intercept.

First step is to find the gradient.

m = (y2-y1)/(x2-x1)
= ( 5- -8)/(8-4) = 13/4

We have y = (13/4)x + c

Now we replace one of the coordinates to find c. Let’s replace (4,-8)

We have: -8 = (13/4)*4 + c

-8=13+c
c=-8-13= -21

Therefore, equation of line is:

y = (13/4)x - 21

Related Questions

Which number is 1/10 the value of 600?

Answers

Answer:

Step-by-step explanation:

Simply multiply to find your answer:

Answer = 600 x 1/10

Simplify. Divide:

600 x 1/10 = 600/10 = 60

60 is your answer.

Answer:

[tex] \frac{1}{10} th \: of \: the \: value \: 600 \\ \frac{1}{10} \times 600 \\ 60 \: is \: the \: required \: number.[/tex]

what is 1/2 x 60 and what is 3/10 x 1,000

Answers

1/2 x 60 = 30 3/10 x 1000 = 300

cancel the common factor of 2 simpplify the expression

Answer:

1/2 x 60= 30 and 3/10 x 1,000= 3,000

Step-by-step explanation:

47 + 34 - 3k ТІЗk + Зk
solve for k show your work

Answers

Answer:

47+34= 3k + 3k + 3k + 3k

Step-by-step explanation:

6¾

What is Four more than twice a number is -10?

Answers

4+2x=10
2x=10-4
2x=6
X=6/2
X=3

What is f(-3) if f(x) = 1/3x

Answers

Answer:

Step-by-step explanation:

I did this before and i got it right

Find the local maximum and minimum values of f(x)=x^3-6x^2+5

Answers

Answer:

Local maxima at x=0

Local minima at x=4

Step-by-step explanation:

Solve each of the following equations.
(4b + 11)(3b - 7) = 0

Answers

Answer:

4b = 4(11/4)

3b = 3(7/3)

A bird leaves its nest and travels 18 miles per hour downwind for x hours. On the return trip, the bird travels 3 miles per hour slower and has 5 miles left after x hours.

a. What is the distance of the entire trip? (In miles)

b. How long does the entire trip take? (In hours and minutes and seconds)

Answers

9514 1404 393

Answer:

60 miles3 hours 40 minutes 0 seconds

Step-by-step explanation:

The relation between speed, distance, and time is ...

distance = speed × time

a) The distance the bird traveled downwind is ...

(18 miles/hour)(x hours) = 18x miles

3 miles per hour slower than 18 miles per hour is 15 miles per hour. So the distance in miles the bird traveled after x hours on the return trip is ...

15x = 18x -5

5 = 3x . . . . . . add 5 -15x

x = 5/3 . . . . . .divide by 3

Then the distance traveled downwind is ...

18x = 18(5/3) = 30 . . . . miles

and the time for the return trip is ...

(30 mi)/(15 mi/h) = 2 h . . . . . for the entire return trip

So, the entire round trip is 2×30 miles = 60 miles.

b) The time for the entire trip is ...

5/3 h downwind + 2 h return = 3 2/3 h = 3 hours 40 minutes 0 seconds

what is the equation

Answers

ExplanationPoint-Slope Form

[tex]y - y_1 = m(x - x_1)[/tex]

[tex]y_1 = y - coordinate \: \: point \\ x_1 = x - coordinate \: \: point[/tex]

From the given equation.

[tex]y + 8 = 4(x - 5)[/tex]

[tex]y - ( - 8) = 4(x - ( + 5))[/tex]

Answer

[tex] \large \boxed{( - 8,5)}[/tex]

How do you write 0.060 in scientific notation?

Answers

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

[tex]6 \times 10 {}^{ - 2} [/tex]

If P(A) = .80, P(B) = .65, and P(A ∩ B) = .78, then P(B | A) =

Answers

Answer:

P(B | A) = 1.2

Step-by-step explanation:

Given

P(A) = .80P(B) = .65P(A ∩ B) = .78

To determine

P(B | A) = ?

Using the formula

P(B | A) = P(A ∩ B) / P(B)

= .78 / .65

= 1.2

Therefore,

P(B | A) = 1.2

find the sum of the first 31 terms of 4,11,18,...

Answers

Answer:

3379

Step-by-step explanation:

can someone please help meeee

Answers

you need to use pythagorean theorem to find x
97^2 = 9409
65^2 = 4225
4225 + b^2 = 9409
b^2 = 5184
b = 72

then you need to add 65 and 72 to get 137
137 - 95 = 42
42 kilometers closer

Sally goes to the store and buys a camera for $65. The store is
running a discount of 10%. What is the price of the camera after the
discount?

Answers

$58.50 hope it helps

Answer:

58.50

Step-by-step explanation:

if there is one store and they are selling 10 pens for 8.99 and they are selling 25 pens for 19.75 witch one is better explian

Answers

25 pens is better because if you see the cost of one it will be cheaper

The tax on a property with an assessed value of $90,000 is $1,350. Find the tax on a property with an
assessed value of $140,000.
a. $1500.00
b. $150.00
c. $2100.00
d. $210.00
e. $750.00

Answers

Answer:

0.015 or 1.5% tax

Step-by-step explanation:

90000x0.015 = 1350

let’s go to the beach each let’s go get away say say what they gonna say the patron on

what is the equation of a line with a slope of -3 and a y-intercept of 9

Answers

Answer:

The answer to the question provided is y = -3x + 9.

All of the following would make a formal proof incomplete except what?
A) A lack of justifications
B) Incomplete sentences
C) Errors in logic
D) Incorrect reasons for statements
Urgent I need this for tonight please!!!

Answers

Answer:

b incorrect sentences

Step-by-step explanation:

got it right on my test

Part 1: Determine the domain.
DOMAIN:

Answers

Answer:

The domain is -2 to positive 2.

Need help asap please

Answers

It’s the 4 th one I try ink

Answer:

the 4th one hope this helps

There are 100 classes at Sun Valley Magnet School. 45% of the classes are Math and Science. How many classrooms are not Math and Science?

Answers

Do 100-45 and you get 55. So it is 55 classrooms that are not Math and Science.

Which of the following statements are true?
The value of the 5 in 592,841 is 10 times the value of the 5 in 358,764.
The value of the 6 in 861,257 is 10 times the value of the 6 in 651,042.
The value of the 8 in 358,764 is 10 times the value of the 8 in 592,841.
The value of the 5 in 592,841 is in of the value of the 5 in 358,764.
The value of the 6 in 861,257 is in of the value of the 6 in 651,042.
The value of the 8 in 358,764 is id of the value of the 8 in 592,841.

Answers

The value of the 5 in 592,841 is 10 times the value of the 5 in 358,764

Answer:

5/6 is eaqual to 2.5/3

Step-by-step explanation:

someone pls help me with this problem , in a rush !!

Answers

Answer:

2.DB=7.5+7.5=15cm

3.DV=12.75+12.75=25.5

Step-by-step explanation:

What is the equation of the line that has a slope of 14
and goes through the point (8,−3)?

y=1/4x−5

y=1/4x+5

y=1/4x−11

y=1/4x+1

Answers

Answer:

y=1/4x+1

please mark as brainliest

k I need help again the last part says triangles

Answers

Answer

C

One side is 3, another is 6, and the last side is 9

Hope this helps :)

Pls give me BRAINLIEST

Please help Im confused

Answers

Answer is 40

15/3 = 5
8 x 5 = 40

Answer:

x=40

Step-by-step explanation:

to get from 3 to 15, you multiply by 5

multiply 8 by 5 and you get 40

x is 40

please give me brainliest!!<3

Find the length of XY.

Answers

Answer:

XY = 50

Step-by-step explanation:

Triangle given in the picture,

Point B, C and D are the midpoints of the sides of the triangle.

By applying midsegment theorem in the given triangle,

"Segment joining the midpoints of two sides of a triangle is parallel and half of the length of the third side"

CD = [tex]\frac{1}{2}(XY)[/tex]

25 = [tex]\frac{1}{2}(XY)[/tex]

XY = 50

Therefore, XY = 50 is the answer.

What is the solution to the inequality 5.25- b
6.5?

Answers

-b > 6.5 - 5.25

b < 1.25

Hope this helps!

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I need help with this word problem please

Answers

Answer:

Step-by-step explanation:

Given function is,

f(x) = [tex]x\sqrt{x}[/tex]

We can rewrite this function as,

f(x) = [tex]x^{\frac{3}{2}}[/tex]

a). Domain of the function is [0, ∞)

Derivative of the function in this domain,

f'(x) = [tex]\frac{3}{2}x^{(\frac{3}{2}-1)}[/tex]

= [tex]\frac{3}{2}x^{\frac{1}{2}}[/tex]

Since, f'(x) > 0 in the interval [0, ∞)

Function is increasing in the interval [0, ∞)

b). For local maxima and local minima,

Second derivative of the function,

f"(x) = [tex]\frac{3}{2}(\frac{1}{2})x^{\frac{1}{2}-1}[/tex]

= [tex]\frac{3}{4}x^{-\frac{1}{2}}[/tex] > 0

So the function should have a local minima.

But the function is continuous in the interval x ≥ 0,

There is no local minima (only absolute minima).

c). Since, second derivative is undefined at x = 0,

There are no inflection points.

d). Since, f"(x) > 0 in the interval [0, ∞)

Concavity of the curve is UPWARDS.

Angle 1 and Angle 2 are a linear pair. Angle 1=x-15, and angle 2=x+77. Solve for x then find the measure of each angle.

Answers

Answer: x=59, angle 1= 44˚, angle 2= 136˚

Step by step explanation:

Linear pairs add to make 180˚.

So angle 1 + angle 2= 180˚

Therefore x-15+x+77= 180

Add the x’s to get 2x
And then -15+77 to get 62.

So 2x+62=180
Subtract 62 to get 2x=118
Then divide by 2 to get x=59

Then substitute the x value into the angle equations

So angle 1 will be 59-15 which is 44˚
And angle 2 will be 59+77 which is 136˚

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