Passing through (-7, -3) and parallel to the line whose equation is y = - 4x + 1

write in point slope form

Answers

Answer 1

Answer:

The answer is

y = - 4x - 31

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line

From the question the original line is

y = - 4x + 1

Comparing with the general equation above

Slope / m = - 4

Since the lines are parallel their slope are also the same

Slope of parallel line = - 4

So the equation of the line using point

(-7, -3) is

[tex]y + 3 = - 4(x + 7) \\ y + 3 = - 4x - 28 \\ y = - 4x - 28 - 3[/tex]

We have the final answer as

y = - 4x - 31

Hope this helps you


Related Questions

subtract 7 9/16 - 4 2/4

Answers

Mixed number form is 3 1/16

Exact form is 49/16

Decimal form 3.0625

Jamie needs to build a fence around his garden , as illustrated by polygon ABCDEF on the coordinate grid below.If each unit represents one yard, what is the total length of Jamie’s fence in yards ?

A.20 yards
B.23 yards
C.26 yards
D.45 yards

Answers

Answer:

C. 26 yards

Step-by-step explanation:

Total length of Jamie's fence = sum of all distances from one vertex of the polygon to another = AB + BC + CD + DE + EF + FA

Use the distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex], to find the distance between vertexes.

Distance between A(-5, 5) and B(0, 5)

Let,

[tex] A(-5, 5) = (x_1, y_1) [/tex]

[tex] B(0, 5) = (x_2, y_2) [/tex]

[tex] AB = \sqrt{(0 -(-5))^2 + (5 - 5)^2} [/tex]

[tex] AB = \sqrt{(5)^2 + (0)^2} [/tex]

[tex] AB = \sqrt{25 + 0} = \sqrt{25} [/tex]

[tex] AB = 5 [/tex]

Distance between B(0, 5) and C(4, 2)

Let,

[tex] B(0, 5) = (x_1, y_1) [/tex]

[tex] C(4, 2) = (x_2, y_2) [/tex]

[tex] BC = \sqrt{(4 - 0)^2 + (2 - 5)^2} [/tex]

[tex] BC = \sqrt{(4)^2 + (-3)^2} [/tex]

[tex] BC = \sqrt{16 + 9} = \sqrt{25} [/tex]

[tex] BC = 5 [/tex]

Distance between C(4, 2) and D(1, -2)

Let,

[tex] C(4, 2) = (x_1, y_1) [/tex]

[tex] D(1, -2) = (x_2, y_2) [/tex]

[tex] CD = \sqrt{(1 - 4)^2 + (-2 - 2)^2} [/tex]

[tex] CD = \sqrt{(-3)^2 + (-4)^2} [/tex]

[tex] CD = \sqrt{9 + 16} = \sqrt{25} [/tex]

[tex] CD = 5 [/tex]

Distance between D(1, -2) and E(-2, -2)

Let,

[tex] D(1, -2) = (x_1, y_1) [/tex]

[tex] E(-2, -2) = (x_2, y_2) [/tex]

[tex] DE = \sqrt{(-2 - 1)^2 + (-2 -(-2))^2} [/tex]

[tex] DE = \sqrt{(-3)^2 + (0)^2} [/tex]

[tex] DE = \sqrt{9 + 0} = \sqrt{9} [/tex]

[tex] DE = 3 [/tex]

Distance between E(-2, -2) and F(-5, 2)

Let,

[tex] E(-2, -2) = (x_1, y_1) [/tex]

[tex] F(-5, 2) = (x_2, y_2) [/tex]

[tex] EF = \sqrt{(-5 -(-2))^2 + (2 -(-2))^2} [/tex]

[tex] EF = \sqrt{(-3)^2 + (4)^2} [/tex]

[tex] EF = \sqrt{9 + 16} = \sqrt{25} [/tex]

[tex] EF = 5 [/tex]

Distance between A(-5, 5) and F(-5, 2)

Let,

[tex] A(-5, 5) = (x_1, y_1) [/tex]

[tex] F(-5, 2) = (x_2, y_2) [/tex]

[tex] FA = \sqrt{(-5 -(-5))^2 + (2 - 5)^2} [/tex]

[tex] FA = \sqrt{(0)^2 + (-3)^2} [/tex]

[tex] FA = \sqrt{0 + 9} = \sqrt{9} [/tex]

[tex] FA = 3 [/tex]

Total length of Jamie's fence in yards = 5 + 5 + 5 + 5 + 3 + 5 + 3 = 26 yards

Jalen has $10.35 in quarters and nickels he has a total of 99 coins how many of each coins does he have?

Answers

Answers:

72 nickels and 27 quarters

========================================

Work Shown:

$10.35 = 1035 cents

q = number of quarters

n = number of nickels

n+q = 99 is the total number of coins. This solves to q = -n+99

25q = value of all the quarters in cents

5n = value of all the nickels in cents

5n+25q = 1035 is the total value in cents

------------------

5n+25q = 1035

5n+25( q ) = 1035

5n+25( -n+99 ) = 1035

5n - 25n + 2475 = 1035

-20n + 2475 = 1035

-20n = 1035-2475

-20n = -1440

n = -1440/(-20)

n = 72

Jalen has 72 nickels

q = -n+99

q = -72+99

q = 27

Jalen has 27 quarters

----------------------

Check:

n+q = 72+27 = 99

5n+25q = 5*72+25*27 = 1035

This confirms the answers.

A triangle has dimensions represented by the expressions shown.



Which expression represents the perimeter of the triangle?

9y + 3
9y + 7
6y – 2
5y + 5

Answers

Answer:

Step-by-step explanation:

9y+3

Answer:

The answer is a

Step-by-step explanation:

1/3ab^2 Solve for a​

Answers

Answer:

a = 18/b²

Step-by-step explanation:

Step 1: Write equation

1/3ab² = 6

Step 2: Solve for a

Multiply both sides by 3: ab² = 18Divide both sides by b²: a = 18/b²

Complete this sentence: In a triangle, the angle with the greatest measure is
always opposite the
A. second-longest side
B. angle with the smallest measure
C. shortest side
D. longest side

Answers

ok so the obtuse angle is always across from the acute angle so the answer is b

In a triangle, the angle with the greatest measure is always opposite the longest side. Option D is correct.

Incomplete statement to be completed that In a triangle, the angle with the greatest measure is always opposite the _____.

What is the triangle?

The triangle is a geometric shape that comprises 3 sides and sum of interior angle should not greater than 180°.


Here, In a triangle angle opposite the largest side is the greatest angle among the other two angles.


Thus, In a triangle, the angle with the greatest measure is always opposite the longest side.

Learn more about triangles here:
https://brainly.com/question/2773823

#SPJ5


This question here ?!

Answers

Answer:

The answer is 3.19, someone irrationally deleted my answer previously.

Step-by-step explanation:

Simply substract 2.95 from 18.90 and you will get 15.95

Divide this by 5 to get the price of each and you will get $3.19 which is the correct answer.

equation of the line (-6,5) and (8,14) in standard form

Answers

Answer:

[tex]\huge\boxed{9x-14y=-70}[/tex]

Step-by-step explanation:

The point-slope form of an equation of a line:

[tex]y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have two points (-6, 5) and (8, 14).

Substitute:

[tex]m=\dfrac{14-5}{8-(-6)}=\dfrac{9}{14}\\\\y-5=\dfrac{9}{14}(x-(-6))\\\\y-5=\dfrac{9}{14}(x+6)[/tex]

Thew standard form of an equation of a line:

[tex]Ax+By=C[/tex]

transform:

[tex]y-5=\dfrac{9}{14}(x+6)\qquad|\text{multiply both sides by 14}\\\\14y-14\cdot5=14\!\!\!\!\!\diagup^1\cdot\dfrac{9}{14\!\!\!\!\!\diagup_1}(x+6)\\\\14y-70=9(x+6)\\\\14y-70=9x+54\qquad|\text{subtract}\ 9x\ \text{from both sides}\\\\-9x+14y-70=54\qquad|\text{add 70 to both sides}\\\\-9x+14y=70\qquad|\text{change the signs}\\\\9x-14y=-70[/tex]

Write an equation in slope intercept form for a line that passes through the point (1,6) and a slope of 2

Answers

Answer:

The answer is

y = 2x + 4

Step-by-step explanation:

To find an equation of a line when given the slope and a point we use the formula

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

where

m is the slope

( x1 , y1) is the point

From the question the point is (1,6) and slope 2

The equation of the line is

[tex]y - 6 = 2(x - 1) \\ y - 6 = 2x - 2 \\ y = 2x - 2 + 6[/tex]

We have the final answer as

y = 2x + 4

Hope this helps you

Help I need help I’m horrible at math! Thanks

Answers

Answer:

with what I am to lol

Step-by-step explanation:

Answer:

The translation is basically a slide

i remember that by sl in translation are the first two letters in slide

so other than that i just think you have to say the coordinates of the new triangle after the slide

have a good day hope i helped

1/2(3/5x-8)+7/4(2/5x+4)

Answers

Answer:

x + 3

Step-by-step explanation:

Use the distributive property, then collect like terms

(1/2)(3/5 x) + (1/2)(-8) + (7/4)(2/5 x) + (7/4)(4)

3/10 x - 4 + 7/10 x + 7

x + 3

A total of 450 tickets were sold for the school play they were either adult tickets or student tickets or student tickets the number of student tickets sold was two times the number of adult tickets sold how many adult tickets were sold

Answers

Answer:

150

Step-by-step explanation:

If x is the number of adult tickets sold then an equation for this could be

x+2x=450

which could simplify to

3x=450

you would divide both sides of the equation by 3 to get

x=150

x and y interpects of f(x)=x^2-49

Answers

Y intercept is when x = 0
X intercept is when y = 0

Y intercept is 0^2 - 49 = ?
-49

X intercept you would have to factor. You’d get (x-7)(x+7) meaning the graph touches o at the x values 7 and -7

Arlo invested $4000 in an account that earns 5.5% interest, compounded
annually. The formula for compound interest is A(t) = P(1 +I)t?
How much did Arlo have in the account after 4 years?
A. $4955.30
B. $4660.00
C. $16,880.00
D. $23,088.03

Answers

The answer is A. $4955.30

what is the solution set for this inequality.
-8x+40>-16

Answers

Answer:

x<7

Step-by-step explanation:

−8x+40>−16

Step 1: Subtract 40 from both sides.

−8x+40−40>−16−40

−8x>−56

Step 2: Divide both sides by -8.

−8x / −8 > −56 / −8

x<7

Which of the lines below has a slope of zero?

Answers

Answer:

b

Step-by-step explanation:

Answer:

Line B.

hope this help

The mean finish time for a yearly amateur auto race was 187.24 minutes with a standard deviation of 0.346 the winning car was driven by Thomas

Answers

The z-score is given by:
z=(x-μ)/σ
where:
μ-mean
σ- standard deviation

The z-score for ted will be:
x=185.82
μ=186.37
σ=0.323
thus
z=(186.37-185.82)/0.323=1.70

The z-score for Karen:
x=112.25
μ=112.6
σ=0.141
hence:
z=(112.25-112.6)/0.141=-2.48

Comparing the two z-score, we conclude that Ted had a convincing win because he has not deviated so much from the win.

Number 5 please I beg.

Answers

Answer:

X = 25

Step-by-step explanation:

the cost of a mobile is set Rs.18000.If mrs.Sharma purchased it with 13% VAT. how much did she pay for it.​

Answers

Answer:

Rs.20340

Step-by-step explanation:

Cost of the mobile(without VAT) = Rs. 18000

VAT= 13%*18000

=13/100*18000

=13*180

= Rs.2340

Hence, Cost of the mobile phone with VAT= Rs.18000+ Rs. 2340

= Rs.20340

solve the equation. -7x=x+24

Answers

Answer:

x=-3

Step-by-step explanation:

-7x=x+24

subtract x from both sides

you get

-8x=24

x=-3

X=-3 is the answer :)

Please help meee
• Which graph shows different numbers of tickets that Elena can sell to raise more than $180?

Answers

Answer:

2nd graph

Step-by-step explanation:

I need an explanation of this question: the chicago cubs have won more than 100 games

write the inequality ​

Answers

Answer:

x > 100

Step-by-step explanation:

Consider x as "Chicago Cubs".

The alligator sign always points/goes to the number (or food) with the highest value (or bigger meal).

Since Chicago Cubs wins is bigger than 100, you can write the inequality as follows:

x > 100

The balance on your business credit card was $215 before you purchased 5 new chairs for the office. Each chair cost $75.

What is the new balance on the credit card?

$160
$290
$375
$590
$700

Answers

Answer:

$590

Step-by-step explanation:

The credit card balance on the card is : $215.

You put on his charge 5 chairs that each cost $75.

So 75 * 5 = 375.

You have now added to your credit card balance of $375 and before you bought the chairs, it was $215. You must add these totals to get your new balance after purchasing 5 new chairs for the office.

375 + 215 = 590.

You multiply 75 times 5 equals 375 -215 and he will give you 160

If the camp counselor wants to make sure no more than 1 teenager in each tent is afraid of spiders, does it seem reasonable for him to randomly assign teenagers to tents? (Round your answer to two decimal places.) If the group of 11 teenagers in the tent is a random sample, then there is a % chance that 2 or more teenagers will be afraid of spiders in any particular tent. This probability is somewhat large Correct: Your answer is correct. , so the camp counselor should not Correct: Your answer is correct. randomly assign teenagers to their tents.

Answers

Answer:

YES, there are 88% chances that no more than one of them is afraid of spider.

If there is group of 11 teenager in tent, then there is chance that 2 0r more teenager will be afraid of spider.

Step-by-step explanation:

Let A11 be the number of teenager. We want no more than one teenager in each tent is afraid of spider

P (C11≤1) = P (C11=0) + P (C11=1)

               = (11C0) 0.070. (1- 0.07)10 + (11C1). 0.071. (1- 0.07)10-1

               = 0.88

               = 88 %

Yes, it seems reasonable for him to randomly assign teenagers to tents.

There are 88% chances that no more than one of them is afraid of a spider, remaining are in his favor, and he can randomly assign.

If there is a group of 11 teenagers intent, then there is a chance that two 0r more teenagers will be afraid of a spider.

Probability = P (C11≤2)

                  = P(C11 = 2) + P  (C11=3) + P(C11 =4) + ……

          (Probability is somewhat large)

Is there a rigid transformation taking Rhombus P to Rhombus Q? Explain how you know.

Answers

Answer:

There's no rigid transformation

Step-by-step explanation:

The attachment is blank; See attachment for clear picture of rhombus

Required

State if there's a rigid transformation between P and Q

The term rigid transformation implies that there's no change in any two or more given shapes as long as the size is being considered.

Looking at both rhombus, you observe that rhombus P and Q have different dimensions.

So, we can conclude that there's no rigid transformation from rhombus P to Q .

$24 in 2hours find the unit rate?

Answers

Answer:

12 dollars an hour

Step-by-step explanation:

The value of 25+144 is 13. O True O False​

Answers

true

I did it on my calculater and the answer came as 13

hope that helps :)

Answer:

ANSWER IS TRUE

Step-by-step explanation:

25+144 IS 169

PLEASE HELP!! WHICH ONE IS GREATER?? 4 or -8? If you can answer please explane how you got the answer

Answers

Answer:

its 4

Step-by-step explanation:

its 4 becouse negative numbers are immediatly lower than possitive numbers. But if it were -4 and -8 then -8 would be the greater one. Hope it helped :)

Linda got 11/16 in her math test. Write her grade in percent.

Answers

Answer:

69%

Step-by-step explanation:

Hey there!☺

[tex]Answer:\boxed{68.75}[/tex]

[tex]Explanation:[/tex]

Let's start the percentage from 1/16.

[tex]1/16\rightarrow6.25\\2/16\rightarrow12.5\\3/16\rightarrow18.75\\4/16\rightarrow25\\5/16\rightarrow31.25\\6/16\rightarrow37.5\\7/16\rightarrow43.75\\8/16\rightarrow50\\9/16\rightarrow56.25\\10/16\rightarrow62.5\\11/16\rightarrow68.75[/tex]

The rule is to multiply each by 6.25. That means that you have to multiply 6.25 by 11 to get its percentage.

[tex]6.25*11=68.75[/tex]

68.75 is your answer.

Hope this helps!☺

[tex]\text{-TestedHyperr}[/tex]

1) -20= -4 - 6x

Ok so how will I be able to prove what this answer equals up too?

Answers

Answer:

[tex]x=\dfrac{8}{3}[/tex]

Step-by-step explanation:

The given equation is :

-20= -4 - 6x

We need to find the value of x. It can be done by collecting like terms togther as follows :

-20+4=-6x

⇒-16=6x

[tex]x=\dfrac{8}{3}[/tex]

So, the solution of the given equation is 8/3.

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