Consider the line - 5x+2y=8.
Find the equation of the line that is parallel to this line and passes through the point (-5, -3).
Find the equation of the line that is perpendicular to this line and passes through the point (-5, -3).

Answers

Answer 1

Answer:

The parallel equation is y=[tex]\frac{5}{2}[/tex]x-5.

The perpendicular equation is y=[tex]\frac{-2}{5}[/tex]x-5.

Step-by-step explanation:

First solve for y.

-5x+2y=8

2y=5x+8

y=[tex]\frac{5}{2}[/tex]x+4

A line is parallel if it has the same slope, but different y-intercepts.

The y-intercept of the given point is -5, so the new slope will be y=[tex]\frac{5}{2}[/tex]x-5

To find a perpendicular line, you find the negative reciprocal of the given slope.

So you find [tex]\frac{-1}{\frac{5}{2} }[/tex], which is equal to [tex]\frac{-2}{5}[/tex].

The perpendicular equation is y=[tex]\frac{-2}{5}[/tex]x-5.

Answer 2

Answer:

Step-by-step explanation:

A straight line will be parallel to another straight line only if their slopes are equal .A straight line will be perpendicular to another straight line only when the product of their slopes is -1 Part ALet 's bring the function  -5x+2y=8 to the standard form 2y=8+5x y=2,5x+4 A parallel line passes through a point  (-5; -3); and this meansy=2,5x+b 2,5*(-5)+b=-3 b=9,5 y=2,5x+9,5  -straight parelenai straight y=2.5x+4 Part B Let 's bring the function  -5x+2y=8 to the standard form y=2,5x+4 y=kx+b  And we know k*2,5=-1=> k=-0,4 y=-0,4x+b -0,4*(-5)+b=-3b=-1y=-0,4x-1 - Straight perpendicular to the straight line y=2.5x+4

Related Questions

I’ve spent too long on this. Pls help!!

Answers

Answer: bro i dont know. SORRY :(

Answer:

14 10 cent coins

Step-by-step explanation:

Assumption method:

Assume all are 10 cent

10x48=$4.80

8.20-4.80=3.40

10x47=$4.70

1x20=$0.20

$4.70+$0.20=$4.90

Gap= $3.40

Difference=$4.90-$4.80=$0.10

Gap÷Difference= $3.40÷0.10=34 20 cent coins

48-34=14 10 cent coins

 

I think its like this.

Y=z/(x) make x the subject
And add a function machine

Answers

Answer:

x=y/z

Step-by-step explanation:

You start at (8, 9). You move left 5 units. Where do you end?

Answers

Answer: (3,9)

Step-by-step explanation:

Move left so on the x-axis. Up/down is on the y-axis.

Left is negative, right is positive on the x axis.

8 -5 = 3

(3,9)

For detailed, step-by-step explanations you can visit my fiverr account: kesja_

I provide detailed explanations for math questions for as little as $1!

Answer:

(3, 9)

Step-by-step explanation:

First, what does it mean to move left 5 units from your starting position?

Second, how does that change were you are at this point?

ok so I start at (8, 9). I move left 5 units. Where do I end?

Since moving to the left changes my x variable, subtract 5 from 8

8 - 5 = 3

so that means my final position is at (3, 9)
- - - - - - - - - - - - - - - - - - -

PLS HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

5 packages of water and 3 packages of cheese sticks

Step-by-step explanation:

the least common multiple of 6 and 10 is 30

Find the image of (1,2) after a
reflection about x = 6 followed by a
reflection about x = 4.

Answers

Answer:

(-3,2)

Step-by-step explanation: pls mark as brainlyist

A nursery has $50,000 of inventory in dogwood trees and red maple trees. The profit on a dogwood tree is 27% and the profit on a red maple tree is 17%. The profit for the entire stock is 20% how much was invested in each type of tree. I NEED THE ANSWER ASAP PLEASE

Answers

Answer:

Sorry do not have your answer

Step-by-step explanation:

If f(x) is an exponential function where f(-2) = 1 and f(7) = 63, then find the
value of f(1), to the nearest hundredth.

Answers

An exponential function is represented as: [tex]\mathbf{f(x) = ab^x}[/tex]

The value of f(1) is 3.95

f(-2) = 1 means that:

[tex]\mathbf{ab^{-2} = 1}[/tex]

f(7) = 63 means that:

[tex]\mathbf{ab^{7} = 63}[/tex]

Divide both equations

[tex]\mathbf{\frac{ab^7}{ab^{-2}} = \frac{63}{1}}[/tex]

Apply law of indices

[tex]\mathbf{b^9 = 63}[/tex]

Take 9th root of both sides

[tex]\mathbf{b =1.58}[/tex]

Make a, the subject in [tex]\mathbf{ab^{-2} = 1}[/tex]

[tex]\mathbf{a = \frac{1}{b^{-2}}}[/tex]

[tex]\mathbf{a = b^2}[/tex]

Substitute [tex]\mathbf{b =1.58}[/tex]

[tex]\mathbf{a = 1.58^2}[/tex]

[tex]\mathbf{a = 2.50}[/tex]

So, we have:

[tex]\mathbf{f(x) = ab^x}[/tex]

[tex]\mathbf{f(x) = 2.50 \times 1.58^x}[/tex]

Substitute 1 for x

[tex]\mathbf{f(1) = 2.50 \times 1.58^1}[/tex]

[tex]\mathbf{f(1) = 3.95}[/tex]

Hence, the value of f(1) is 3.95

Read more about exponential functions at:

https://brainly.com/question/3127939

Determine whether the pair of lines is​ parallel, perpendicular, or neither.
x−2y=−1
y=5x−3

Answers

Answer:

neither

Step-by-step explanation:

put the first equation in slope intercept form

x-2y=-1

-2y= -x -1

y = 1/2x +1/2

the slope is not the same, and it is not the opposite, so it is neither

have a lovely day <3

Please solve the math problem for me... I will mark you brainliest

Answers

Answer:

[tex]x=34[/tex]

Step-by-step explanation:

*it's kind of hard to read the number in parenthesis though but i think it's 5

both angles have to add up to 180º because they are co-exterior angles on parallel lines.

[tex]2(x+5)+102=180\\2(x+5)=78\\2x+10=78\\2x=68\\x=34[/tex]

HELP ME PLS
If you do the unit review, you will do well on the test.
If you do well on the test, then you will do well in the course.
Therefore, if you do the unit review, then you will do well in the course.

A. This conclusion was drawn using the law of detachment
B. This conclusion was drawn using the law of contrapositive
C. This conclusion was drawn using the law of syllogism
D. An invalid conclusion was made

Answers

Answer:

A.The conclusion was drawn from the law of detachment

if p is q

and q is r

then p is r

Step-by-step explanation:

PLS MARK BRAINLIEST

2x + y + 6z = + 1
3x + 2y + 5z = 16
7x + 3y - 4z = 11

Answers

Answer:

1) x=1/2-y/2-3z

2)x= 16/3- 2y/3- 5z/3

3)x= 11/7- 3y/7+ 4z/7

Step-by-step explanation:

isolate the variable, to do that divide each side by the factors that don't contain the variable

What is the equation of the line in slope-intercept form?

Answers

Answer:

y = 1/8x + 6

Step-by-step explanation:

y = 1/8x + 6

What does angle A equal

Answers

The sinA = opposite/hypotenuse

SinA = 4/6

Take the inverse sin (sin^-1) on the calculator with 4/6. 41.8 degrees should be correct.

Answer get brainliest

Answers

I would say question A)B, B)D and C)D. I’m not sure about C, but that is my best estimate.

Answer:

Step-by-step explanation:

you need to use the protractor form mathswatch to get the answer

Find the measure of each marked angle.

Answers

Answer:

X= 15, m∠78°

Step-by-step explanation:

Since the angles are vertically opposite

Therefore their measurements are equal

Therefore (2x + 48 ) = (5x + 3 )

So,

[tex](2x + 48) = (5x + 3)\\(2x-5x)= (3-48)\\-3x = -45\\x = -45/-3\\x = 15[/tex]

[tex](2x + 48)\\=( 2* 15 + 48)\\= 30 + 48\\=78\\\\(5x + 3)\\=(5*15 + 3)\\=75+3\\=78[/tex]

They both equal 78°

help me with this problem please

Answers

Answer:

[tex]y = \frac{ - 3x + 6}{2} = \\ x = 4 \\ y = \frac{ - 3 \times 4 + 6}{2} = \frac{ - 12 + 6}{2} = \frac{ - 6}{2} = - 3[/tex]

please help me, please

Answers

Answer:

A: 51

B:45

C:29

D:-316

Answer:

a. 51

b. 9

c. -3

d. -316

Suppose you drive a car 156 miles on one tank of gas. The tank holds 12 gallons of gas. (Assume the car travels the same distance for each one gallon of gas)
The number of miles traveled varies directly with the number of gallons of gas you use.
a. Write an equation that relates miles traveled to gallons of gas used. (Use any variable you like in the equation.
b. How far can you drive with 3.7 gallons of gas? (Make sure to show the calculations you did to determine this answer)

I will give branliest, thanks so so much.

Answers

Answer:

a. f(g) = g * 13

b. 48.1

Step-by-step explanation:

3.7 * 13 = 48.1

(3n-4n+1)-(8n-4n+17)

Answers

Answer:

-5n - 16

Step-by-step explanation:

Step 1: Distribute the negative sign.

[tex]3n - 4n + 1 + (-1)(8n) + (-1)(-4n) + (-1)(17)[/tex] [tex]3n - 4n + 1 - 8n +4n - 17[/tex]

Step 2: Combine like terms.

[tex](3n-4n-8n+4n)+(1-17)[/tex] [tex]-5n - 16[/tex]

Therefore, the answer is -5n - 16.

See question in image.​

Answers

Answer:

22677.69

Step-by-step explanation:

Given

Amount of contribution P = 500Interest rate r = 8% or 0.08Number of compounds n = 4Time t = 30 years

Find the annuity using the formula below:

[tex]A= P*(1 - (1 + r/n)^{-nt})/(r/n)[/tex][tex]A= 500*(1 -(1+0.08/4)^{-30*4})/(0.08/4) = 22677.69[/tex]

A package of 5 pairs of insulated gloves costs ​$38.45 What is the unit price of the pairs of ​gloves? pls answer fast!!!!

Answers

Answer:

7.69 per gloves

Step-by-step explanation:

QUICKKK QUICCKK QUICKK PLZZZ HELPP ME

Answers

Easy 60 because In a a regular cheez it’s bag its 60

The coordinates of the vertices of ABC are A(3, 3), B(7,7), and C(7, -1) What type of triangle is triangle ABC? Use coordinate geometry to answer the question.

Answers

Answer:

A right triangle

Step-by-step explanation:

If you create a graph and plot the points you should see that BAC or CAB is 90°

how much are 3 books if they add up to $24 and all of the prices are multiples of 4

Answers

If there are three books, and the total cost adds up to $24. And the price for a single book is a multiple of four….the price for one book is $8. I know this because 8 x 3 = 24.

A sequence is defined by g(1) = 3 and g(n) = 2 • g(n-1) for n > 0. Which statement defines the nth term of g?

A. G(n) = 3 + 2(n-1) for n ≥ 1
B. G(n) = 3 + 2n for n ≥ 1
C. G(n) = 3 • 2^n-1 for n ≥ 1
D. G(n) = 3 • 2^n for n ≥ 1

Answers

Answer:

because g(n) = 2.g(n - 1) => this is a geometric progression

=> g(n) = 3.2^(n-1)

Step-by-step explanation:

The product of 18 and Q algebra expression

Answers

Answer:

18q

Step-by-step explanation:

18*q=18q

Hope that helped :)

Answer:

[tex]18 \times q[/tex]

[tex]18q[/tex]

multiply 18 by q to get 18q as the answer

PLEASE HELP WILL GIVE BRAINLIEST!!!!
write "3 times the difference of 5 and y equals 4" as a variable expression

Answers

Answer:

3(5-y)=4

Step-by-step explanation:

Key Words:

The difference

equals

times

When using parenthesis, you multiply. The difference means to subtract. And equals means something is equal to it.

y=5x+2 I just need to find the slope

Answers

Answer:

the slope is 5. this is bc the m in y=mx+b is the slope

Factor the following
1. 15x+ 20
2. 18x-12
3. 6m+8n+4​

Answers

1. 5 (3x + 4)
2. 6 (3x -2)
3. 2 (3m + 4n + 2)

5X-50+2X+80-X=180..............

Answers

Hey there!

5x - 50 + 2x + 80 - x = 180

COMBINE the LIKE TERMS

= 6x + 30 = 180

SUBTRACT 30 to BOTH SIDES

6x + 30 - 30 = 180 - 30

CANCEL out: -30 - 30 because that gives you 0

KEEP: 180 - 30 because it helps solve for the x-value

6x = 180 - 30

180 - 30 = 150

NEW EQUATION: 6x = 150

DIVIDE 6 to BOTH SIDES

6x/6 P 150/6

CANCEL out: 150/6 because that gives you the result of the x-value

x = 150/6

SIMPLIFY IT!

x = 25

Therefore, your answer is: x = 25

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

If you are solving for X, the answer will be 25. To solve this, isolate the variable by dividing each side by factors that don’t contain the same variable
Hope this helps :)
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