Give the equation of the line in point-
slope form that goes through the point
(-3,7) and is parallel to the line 4x-3y=7

Answers

Answer 1

Answer:

[tex]y-7=\frac{4}{3} (x+3)[/tex]

Step-by-step explanation:

Hi there!

We are given the point (-3, 7)

We want to write the equation of the line containing that point, in point slope-form, and that is also parallel to 4x-3y=7

Parallel lines contain the same slope

So first, let's find the slope of 4x-3y=7

To do that, we can convert the line from standard form (ax+by=c) to slope-intercept form (y=mx+b, where m is the slope, and b is the y intercept)

To do that, we need to isolate y on one side

So start by subtracting 4x from both sides

4x-3y=7

-4x      -4x

________________

-3y=-4x+7

Divide both sides by -3

y=[tex]\frac{4}{3}x[/tex]- [tex]\frac{7}{3}[/tex]

Since 4/3 is in the place of where m should be, the slope of the line is 4/3

It is also the slope of our new line, which we are trying to find

As stated earlier, we want to write this line in point-slope form, which is [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a point

This is where the point we were given earlier comes in. We simply need to substitute our values (of the point and the slope) into the formula to find the equation.

First, with the slope; substitute 4/3 as m in the equation

[tex]y-y_1=\frac{4}{3} (x-x_1)[/tex]

Now substitute -3 as [tex]x_1[/tex] in the equation

[tex]y-y_1=\frac{4}{3} (x--3)[/tex]

We can simplify this to:

[tex]y-y_1=\frac{4}{3} (x+3)[/tex]
Now substitute 7 as [tex]y_1[/tex] into the equation

[tex]y-7=\frac{4}{3} (x+3)[/tex]

Hope this helps!


Related Questions

giving branly to the frist one to answer and give the best and right answer


Paul uses a coordinate plane to design

his model town layout.

Paul moves the market 2 units left and 3

units down. He says the ordered pair for

the new location of the market is (0, 6).

Explain Paul’s mistake and write the

correct ordered pair for the new location of............................ your answer

Answers

Using translation concepts, it is found that his mistake was that he made the shifts on the wrong coordinates, and the new location is at (1,5).

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

Initially, researching the problem on the internet, it is found that the market is at position (3,8).

Then, it was shifted 2 units left and 3 units down, hence the new position is given by:

(3 - 2, 8 - 3) = (1,5).

His mistake was that he made the shifts on the wrong coordinates, and the new location is at (1,5).

More can be learned about translation concepts at https://brainly.com/question/4521517

100 points pls help ty

Answers

Answer:

Sam is right, 9 is the max number of pull-ups done by a player.

Because it shows that there were 2 players that did 9.

(i’m assuming the x’s represent the players)

Answer:

Answer

Answer:

Sam is right, 9 is the max number of pull-ups done by a player.

Because it shows that there were 2 players that did 9.

Step-by-step explanation:

(2x > 10) list some values for x that would make this inequality true

Answers

Answer:

6,7,8,9

Step-by-step explanation:

> means Greater than

< means Less than

Thus,

Any number that greater than 10 would make this inequality true..

Some possible values for x can be:

6,7,8,9,11,12,13,14,15,16,17,18 and so on

[RevyBreeze]

÷what expression could be used to solve 2/5 ÷ 3/4

Answers

Answer:

The expression is division.

Step-by-step explanation:

2/5 ÷3/4=0.075

Answer:

[tex]\frac{2}{5} \times\frac{4}{3}[/tex]

Step-by-step explanation:
To find the answer we use KCF (Keep, Change, Flip).

[tex]\frac{2}{5} \div\frac{3}{4}[/tex]
[tex]\frac{2}{5} =\frac{2}{5}[/tex]
[tex]\div=\times[/tex]
[tex]\frac{3}{4} =\frac{4}{3}[/tex]
[tex]\frac{2}{5} \times\frac{4}{3}[/tex]

Which means the expression used to find the answer would be "2/5 × 4/3."

Hope this helps.

Question 8(Multiple Choice Worth 1 points)
(07.04 HC)
Right triangle ABC is located at A (-1, 4), B (-1, 1), and C (-5, 1) on a coordinate plane. What is the equation of a circle A with radius AC?
O(x + 1)2 + (y - 4)2 = 9
(x + 5)2 + y - 1)2 = 25
(x + 5)2 + (y - 1)2 = 16
(x + 1)2 + (y - 4)2 = 25

Answers

Answer:

  (d)  (x + 1)^2 + (y - 4)^2 = 25

Step-by-step explanation:

The equation of a circle with center (h, k) and radius r is ...

  (x -h)² +(y -k)² = r²

__

Circle A has its center at point A, so the left side of this equation will look like ...

  (x -(-1))² +(y -4)² = r² . . . . . . using (h, k) = (-1, 4)

where r is the length of segment AC. One way to find the value of r² is to use point C for (x, y):

  (-5 +1)² +(1 -4)² = r²

  16 +9 = r² = 25

Then the equation of the circle is ...

  (x +1)² +(y -4)² = 25

dding and Subtracting Decimals struction Active Finding an Account Balance Dewan's bank account balance is -$16.75. He deposits checks totaling $23.59. What is his new balance? O $1.08 O $6.84 O $9.16 O $24.34.what is the answer

Answers

Answer: 24.34 is his balance.

Step-by-step explanation:

270$ ask your teacher for your

brayden saves 1500 at a yearly simple interest rate of 2.5. how many years doess it take for the amount he has served to be double the original


I WILL GIVE U 100 POINTS

Answers

Answer:

80 years

Step-by-step explanation:

(.025)*n = 2     solve for n  

80 years he will most likely be dead by then.

Will give brainliest for right answer! :)

Answers

Answer:

155.52mm

Step-by-step explanation:

the area of the rectangle. 16×16=256. the area of the semicircle. 3.14×8×8=100.48. subtract the semicircle from the rectangle 256_100.48= 155.52mm

Answer:

27.47 square mm

Step-by-step explanation:

Area square = 16x16= 256

           Half square=     255/2=128

Area circle    pi x 64 = 201.06...

semicircle        201.06.../2 = 100.53

                128-100.53 =27.47    

Find the value of m if 13m + 24m = 41m

Answers

Answer:

m=0

Step-by-step explanation:

Add

13m

and

24m

.37

m=

41m

Move all terms containing m

to the left side of the equation.

You walk 3/8 miles to a grocery store.Then you walk another 1/3 miles to a music store.How many miles have you walked in all

Answers

Answer:

At this point, you have walked 17/24 miles in all.

Hope this helps

If alpha and beta are the zeros of the polynomial 2x2+5x+k, find k such that (alpha)2+(beta)2+(alpha)*(beta)=24

Answers

Answer:

  k = -35.5

Step-by-step explanation:

When α and β are zeros of the polynomial 2x² +5x +k, it can be written in factored form as ...

  2x² +5x +k = 2(x -α)(x -β)

When the factored form is expanded, it becomes ...

  = 2x² -2(α+β)x +2αβ

Comparing this to the original, we see that ...

5 = -2(α+β)k = 2αβ

__

Then the given expression can be used to find k:

  α +β = -5/2 . . . . . solved the first relation for α+β

  (α +β)² = (α² +β² +αβ) +αβ = 24 +αβ

  (-5/2)² = 24 +αβ . . . . . . . use -5/2 for α+β

  αβ = 25/4 -24 = -17.75 . . . . . solve for αβ

Then the value of k is ...

  k = 2αβ = 2(-17.75)

  k = -35.5

Which equation represents a line which is perpendicular to the line y = – 4/5+ 2
5x + 4y = 28
4x - 5y =-25
4y – 5x = -12
4x + 5y = -30

Answers

Start by putting equations in y equals form.
Add opposite sign x to the other side.
Divide by coefficient of y.
Y equals 7 minus 5/4X
Y equals 5 minus 4/5x
Y equals -3 plus 5/4X
Y equals -6 minus 4/5x
Perpendicular line is opposite slope.
Have -4/5 so want 5/4 as slope.
Only one is possible because of + sign.
The answer is the third one.
Mark as the best answer!

The perimeter of a rectangular goat pen is 28 meters. The pen is 5 meters wide. How long is it?

Answers

Answer:

I think it would be 9 meters.

Step-by-step explanation:

5x2=10

28-10=18

18(divided by)2=9 meters

Answer:

9 meters long

Step-by-step explanation:

the perimeter is 28 meters. itts 5 meters wide and itt is recttangle so itt have two of the same width. so now 5x2=10 and 28-10=18 now 18/2=9. please mark me brainliest if i got it correct

y + 9 * 3 / 4
3/4 is the fraction

Answers

Answer:

y+6.75

Step-by-step explanation:

Answer: y+6.75

Follow Order of Operations

y+9*3/4

9*3/4 = 6.75

y+6.75

The cost of 5 pounds of apples is $12.45. What will be the cost of 12 pounds of apples if the
cost varies directly with the number of pounds purchased.
Edit View Insert Format Tools Table

Answers

Answer: 29.88

Step-by-step explanation: if 5 pounds = $12.45,

                                             then 12 pounds = x

Therefore, Cross-multiply

5 x = 12 (12.45)

5x=149.4

x=149.4/5

x=29.88

Answer:

Step-by-step explanation:

Equation

Cost = k*weight

Givens

weight = 5 pounds

Cost = 12.45

12 pounds

Find k

Cost = k*weight

cost = 12.45

weigh = 5 pounds          Substitute these values into the equation

12.45 = k * 5                    Divide by 5

12.45 /5 = k*5/5

2.49 = k

Solve for 12 pounds

k = 2.49weight = 12 pounds

Cost = 2.49 * 12

Cost = 29.88

Answer

Cost = 29.88

Observe the sequences below. I. 3, 6, 9, 12, ... II. 3, 9, 27, 81, III. 2, 4, 8, 16, ... IV. 3, 5, 7, 9, Which of these are geometric sequences? III only O Il and me II and IV O I and IV​

Answers

Observe the sequences below. I. 3, 6, 9, 12, ... II. 3, 9, 27, 81, III. 2, 4, 8, 16, ... IV. 3, 5, 7, 9, Which of these are geometric sequences? III only O Il and me II and IV O I and

(0 points)
4A is an acute angle in a right triangle.
If cos A = 15/17, find the ratio for the sin A.
Explain how you solved the problem in 2-3 sentences or show your steps.

Answers

Answer:

sin A = 8/17.

Step-by-step explanation:

As cos A =  15/17 one leg of the triangle = 15 and the hypotenuse = 17.

The side length 15 is the adjacent side to angle A.

First find the length of other side of the right triangle, using the Pythagoras

Theorem:

Opposite side to ange A = √(17^2 - 15^2)

= √64

= 8 units.

sin A = opp side / hyp

= 8/17.

Write the equation of the line that is parallel to the line y=3x+7 and passes through the
point (-4,-14).

Answers

Answer:

Step-by-step explanation:

hello :

note :

Use the point-slope formula.

y - y_1 = m(x - x_1)   when : x_1= -4      y_1= -14  

     m= 3 (parallel means same slope)

an equation in the point-slope form is : y +14 =3(x+4)

Multiply: (3x+7)(5x^2-3x+6)

Answers

Answer:

15x^3+26x^2-3x+42

Step-by-step explanation:

(3x+7)(5x^2-3x+6)

15x^3-9x^2+18x+35x^2-21x+42

15x^3-9x^2+35x^2+18x-21x+42

15x^3+26x^2-3x+42

Answer:

15x³ + 26x² - 3x + 42

Step-by-step explanation:

Hi there!

We are given the polynomials 3x+7 and 5x²-3x+6

We want to multiply them together

(3x+7)(5x²-3x+6)

To that, we need to distribute each term of the binomials to each other, and then add them together.

What this means is that we need to multiply 3x by 5x², -3x, and 6, then add them together. Then, multiply 7 by 5x², -3x, and 6. Add those together, and then add everything together.

So, let's first start by multiplying 3x by everything:

3x * 5x² = 15x³

3x * -3x = -9x²

3x * 6 = 18x

Add them together: 15x³ + -9x² + 18x

Now with 7:
7 * 5x²  = 35x²

7 * -3x = -21x

7 * 6 = 42

Add them together: 35x² + -21x + 42

Now add  15x³ + -9x² + 18x and 35x² + -21x + 42 together:
15x³ + -9x² + 18x + 35x² + -21x + 42

Combine like terms:

15x³ + 26x² - 3x + 42

Hope this helps!

find the slope and y-intercept of the line y=7x-9

Answers

Answer:

Slope: 7

Y-Intercept : -9

Step-by-step explanation:

The population of Banana Island is slowly increasing and can be calculated by P(t) = 93.3/3 + 0.23t where Pis the population (measured in millions) and t is time (measured
in years). Approximately how many years will it take for the population of the island to reach 200 million?

A. 6.9
B. 1.6
C. 7.9
D. 4.6

Answers

Answer:

6.09 is the ans thanku please mark me brainleaset ans

Use the quadratic formula to solve for x.
3x2 + 2x - 6 = 0

Answers

Answer:

x = 1/3 (sqrt(19) - 1) or x = (1/3 (-1 - sqrt(19)))

Step-by-step explanation:

Solve for x over the real numbers:

3 x^2 + 2 x - 6 = 0

Using the quadratic formula, solve for x.

x = (-2 ± sqrt(2^2 - 4×3 (-6)))/(2×3) = (-2 ± sqrt(4 + 72))/6 = (-2 ± sqrt(76))/6:

x = (-2 + sqrt(76))/6 or x = (-2 - sqrt(76))/6

Simplify radicals.

sqrt(76) = sqrt(4×19) = sqrt(2^2×19) = 2sqrt(19):

x = (2 sqrt(19) - 2)/6 or x = (-2 sqrt(19) - 2)/6

Factor the greatest common divisor (gcd) of -2, 2 sqrt(19) and 6 from -2 + 2 sqrt(19).

Factor 2 from -2 + 2 sqrt(19) giving 2 (sqrt(19) - 1):

x = 1/6(2 (sqrt(19) - 1)) or x = (-2 sqrt(19) - 2)/6

In (2 (sqrt(19) - 1))/6, divide 6 in the denominator by 2 in the numerator.

(2 (sqrt(19) - 1))/6 = (2 (sqrt(19) - 1))/(2×3) = (sqrt(19) - 1)/3:

x = (1/3 (sqrt(19) - 1)) or x = (-2 sqrt(19) - 2)/6

Factor the greatest common divisor (gcd) of -2, -2 sqrt(19) and 6 from -2 - 2 sqrt(19).

Factor 2 from -2 - 2 sqrt(19) giving 2 (-sqrt(19) - 1):

x = 1/3 (sqrt(19) - 1) or x = 1/6(2 (-1 - sqrt(19)))

In (2 (-sqrt(19) - 1))/6, divide 6 in the denominator by 2 in the numerator.

(2 (-sqrt(19) - 1))/6 = (2 (-sqrt(19) - 1))/(2×3) = (-sqrt(19) - 1)/3:

Answer:  x = 1/3 (sqrt(19) - 1) or x = (1/3 (-1 - sqrt(19)))

7. A hippopotamus weighs 1.5 tons. What is its weight in ounces

Answers

48000 ounces is the weight of the hippo
48,000 ounces! Hope this has helped you with your problem.

Ray YL bisects ZAY B. Find the measurement of
ZBYL.
B
(7x + 17)
(3(4x - 1))
Y
0 90
0 45
0 None of the above
0 20

Answers

Answer:

B. 45

Step-by-step explanation:

YL is the angle bisector of ∠AYB, so the two angles are congruent:

∠AYL ≅ ∠BYL

Substitute and solve for x:

7x + 17 = 3(4x - 1)7x + 17 = 12x - 312x - 7x = 17 + 35x = 20x = 4

Find the value of ∠BYL:

3(4*4 - 1) = 3(16- 1) = 3(15) = 45

This is matching the answer option B.

The red angles must be equal as YL is bisector

7x+17=3(4x-1)7x+17=12x-317+3=12x-7x20=5xx=4

<BYL

3(4(4)-1)3(16-1)3(15)45

Option B

PLEASE HELP PLEASE PLEASE HELP PLEASE

Answers

Answer:

Start are cooler when in the color Red.

Step-by-step explanation:

Answer:

the answer would be red

Step-by-step explanation:

A sales representative is paid a commission of N5 on every N100 sale he makes. If his commission for the week is N10,000.00, how much sales has he made

Answers

He made 2000 sales a week to get 10,000.

10,000/5 = 2000
2000 sales * 5 = 10,000 commision

Currently, the lowest tax bracket in the United States is
Α. 0%
Β. 15%
C. 1%
D. 10%

Answers

Answer:

D 10%

Step-by-step explanation:

8ntergrate by parts |x^3 e^-x dx​

Answers

I assume the integral is

[tex]\displaystyle \int x^3 e^{-x} \, dx[/tex]

Integrate by parts with

[tex]u = x^3 \implies du = 3x^2 \, dx[/tex]

[tex]dv = e^{-x} \, dx \implies v = -e^{-x}[/tex]

so that

[tex]\displaystyle \int u \, dv = uv - \int v \, du[/tex]

i.e.

[tex]\displaystyle \int x^3 e^{-x} \, dx = -x^3 e^{-x} + 3 \int x^2 e^{-x} \, dx[/tex]

Integrate by parts again, this time with

[tex]u = x^2 \implies du = 2x \, dx[/tex]

[tex]dv = e^{-x} \, dx \implies v = -e^{-x}[/tex]

and so

[tex]\displaystyle \int x^2 e^{-x} \, dx = -x^2 e^{-x} + 2 \int x e^{-x} \, dx[/tex]

[tex]\implies \displaystyle \int x^3 e^{-x} \, dx = -x^3 e^{-x} + 3 \left(-x^2 e^{-x} + 2 \int x e^{-x} \, dx\right)[/tex]

[tex]\implies \displaystyle \int x^3 e^{-x} \, dx = -x^3 e^{-x} - 3x^2 e^{-x} + 6 \int x e^{-x} \, dx[/tex]

Once more, with

[tex]u = x \implies du = dx[/tex]

[tex]dv = e^{-x} \, dx \implies v = -e^{-x}[/tex]

[tex]\displaystyle \int x e^{-x} \, dx = -xe^{-x} + \int e^{-x} \, dx[/tex]

[tex]\implies \displaystyle \int x^3 e^{-x} \, dx = -x^3 e^{-x} - 3x^2 e^{-x} + 6 \left(-xe^{-x} + \int e^{-x} \, dx\right)[/tex]

[tex]\implies \displaystyle \int x^3 e^{-x} \, dx = -x^3 e^{-x} - 3x^2 e^{-x} -6xe^{-x} + 6 \int e^{-x} \, dx[/tex]

Finally,

[tex]\displaystyle \int e^{-x} \, dx = -e^{-x} + C[/tex]

and so

[tex]\displaystyle \int x^3 e^{-x} \, dx = -x^3 e^{-x} - 3x^2 e^{-x} -6xe^{-x} - 6 e^{-x} + C[/tex]

or equivalently,

[tex]\displaystyle \int x^3 e^{-x} \, dx = \boxed{-(x^3+3x^2+6x+6) e^{-x} + C}[/tex]

We can also approach the integral more generally by considering

[tex]I_n = \displaystyle \int x^n e^{-x} \, dx[/tex]

Integrate by parts with

[tex]u = x^n \implies du = nx^{n-1} \, dx[/tex]

[tex]dv = e^{-x} \, dx \implies v = -e^{-x}[/tex]

Then

[tex]\displaystyle I_n = -x^n e^{-x} + n \int x^{n-1} e^{-x} \, dx = -x^n e^{-x} + n I_{n-1}[/tex]

We can solve the recurrence using the initial "value" [tex]I_0 = -e^{-x}+C[/tex] to find a general formula for [tex]I_n[/tex]. Then we get the integral we want [tex]I_3[/tex] "for free".

8
11 Juan is multiplying 68 x 73 using the area model method

One of the partial products is missing.
What number should juan write in the blank space in the model above?
A 420
B 42,000
C 4,200
D 130

Answers

Answer:

C 4,200

Step-by-step explanation:

THE FIRST ANSWER I PUT WAS INCORRECT 70 TIMES 60 = 4,200 because 70 has one 0 and 60 has one 0 use that as a strategy so there's two 0,s when you combine it and its at the end of 4,200 so sice 6 times 7 or 7 times 6 = 42 put the two 0,s at the end and add it to 42 then you get 4,200 or 4200 you don't have to put the comma but it helps let you know 4,000 is part of the thousands and lets you know to seperate it from the hundreds so it's better to add the comma if you want to if you don't want to then it's okay but you might get a answer wrong without a comma so the answer is C 4,200!!!!!!!!!!

Mr. Blue's first year salary is $30,000 and it doubles each year. What is the explicit rule for the sequence in simplified form?

What is the recursive rule?

Answers

Mr. Blue' salary is an illustration of a geometric sequence

The explicit rule of Mr. Blue 's salary is an = 30000 * 2^(n - 1)The recursive rule of Mr. Blue's salary is an+1 = 2an; a1 = 30000How to determine the explicit formula?

Mr. Blue's salary is a geometric sequence with the following parameters:

First term, a1 = 30000

Rate, r = 2

The explicit rule is calculated as:

an = a1 * r^(n - 1)

This gives

an = 30000 * 2^(n - 1)

How to determine the recursive formula?

The common ratio is calculated as:

r = an+1/an

Substitute 2 for r

2 = an+1/an

Cross multiply

an+1 = 2an

Hence, the recursive rule of Mr. Blue's salary is an+1 = 2an; a1 = 30000

Read more about arithmetic sequence at:

brainly.com/question/6561461

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