Write an equation of the line that passes through (1,2) and is parallel to the line y=-5x+4

Answers

Answer 1

The equation of the line that passes through (1,2) and is parallel to the line y=-5x+4, is y=-5x+7.

What is the equation of line?

The equation of the line is the way of representation of a line in the equation form.

The equation of the lines represents the line by the set of points on which the line lies or passes through in the coordinate system.

[tex]y=mx+c[/tex]

Here, (m) is the slope of the line and (c) is the y intercept.

This line is parallel to the line which has to be find out is,

[tex]y=-5x+4[/tex]

As the parallel lines have same slope. Thus, the line which is required to find has a slope of -5.

Compare with standard equation of line, we get the slope of the line,

[tex]m=-5[/tex]

Thus, the equation of line become,

[tex]y=-5x+c[/tex]

The line passes through (1,2). Put these values in the above equation as,

[tex]2=-5(1)+c\\2=-5+c\\c=2+5\\c=7[/tex]

Thus, the equation become,

[tex]y=-5x+7[/tex]

Hence, the equation of the line that passes through (1,2) and is parallel to the line y=-5x+4, is y=-5x+7.

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Related Questions

(c) 111 IT IIISH (Find the value of):
6
E (4n -2)
1 =2

Answers

Answer: 70

Step-by-step explanation:

Complete the sentence.
If a section of a cicle graph needs to represent 15%, then its angle measure will be _____ degrees. ​

Answers

Answer:

54

Step-by-step explanation:

We know that a circle is 360 degrees. Therefore, ↓

360° -----------> 100%

x°-----------> 15%

[tex]x = \frac{15}{100} \times 360 \\ = 54[/tex]

Hope this helps =)

Brendan is building a dog house, and the
dimensions of the roof are shown below. What is
the lateral surface area of the roof?
2.7f
5 ft
3 f+
A. 24.84 f+2
B. 46 f+2
C. 54.1 f+2
D. 43.2 f+2

Answers

Answer:

B. 46 ft²

Step-by-step explanation:

Two sides are rectangles 3.1 ft by 5 ft.

One side is a rectangle 5 ft by 3 ft.

area = 2(3.1 ft × 5 ft) + (5 ft × 3 ft)

area = 46 ft²

What is the value of z?

Answers

Answer:

z=58

Step-by-step explanation:

Sum of interior angles of a n-gon = (n-2) 180

for this 7-gon  (heptagon)      (7-2)(180) = 900

so all of the angles added togehter = 900

z+50   + 2z  + 2z+23   + 3z-37  + 2z+31   + 113 + 140 = 900

z = 58

35\40 in simplest form​

Answers

Answer:

7/3

Step-by-step explanation:

pls mark me brainliest :)

Answer:

7/8

Step-by-step explanation:

Divide both the numerator and denominator by the GCD

35 ÷ 5

40 ÷ 5

solve for x ~
[tex]4x - 96 = 0[/tex]


thankyou ~​

Answers

Step-by-step explanation:

4x - 96 = 0

transferring 96 to Right side

4x = 96

x = 96/4

x = 24

Hope it helps you :)

4x-96=0
4x=96
X=96/4
X=24

Hope this helps:)

Find the absolute value of x: (x+8)=-2

Answers

Given that the absolute value of a function is its positive value and the value of x is -10, hence the absolute value of x is 10

How to find the absolute value of a function?

The absolute value is the positive value of any given value.

Given the equation

x + 8 = -2

Determine the value of x

x = -2 - 8
x = -10

Since x is -10, hence the absolute value of x is 10

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PLS ANSWER IT PLS PLS

Answers

Answer:

The one above the orange answer in the picture

Step-by-step explanation:

85% of 20 is 17 every thing else is not 85%

The correct answer would be the one on top left

Factor the equation 4x^2-20x+25

Answers

Answer:

[tex](2x - 5)^2[/tex]

Step-by-step explanation:

[tex]y = 4x^2 -20x + 25\\\rightarrow (2x - 5)(2x - 5)\\\rightarrow (2x - 5)^2\\\\\text{checking...}\\(2x - 5)^2 = (2x - 5)(2x - 5) = 4x^2 - 10x - 10x + 25 = 4x^2 - 20x + 25[/tex]

I WILL GIVE BRAINLEST
find the area of the composite figure (round to the nearest hundredth) A) 35.26. B) 41.70. C) 41.86. D) 48.46

Answers

Answer:

41.86 is the right answer

Step-by-step explanation:

Ice is placed around a bowl of water to lower the temperature. The equation D=−75t+22 shows the time, t, measured in minutes and temperature, D, measured in degrees Celsius.

Answers

Answer:

Before cooling begins, the temperature of the water is 22°C.

Step-by-step explanation:

need steps??

have a good day

rate my answer

can someone please help me solve this? thank you!

Answers

Find the circumference:

Circumference = pi x radius x 2 = 138.16 feet


Linear travel = circumference x rotations


linear travel = 138.16 x 20 = 2.763.2 feet.
Round off to 2,763 feet

Yes I wanted to know what is the answer ​

Answers

Answer:

14 flats

5 plants

Step-by-step explanation:

First you would do 89/6 but since that doesn’t divide nicely you can do 90/6 to get 15 then subtract 1 since the original number was 89 and you would get 14

The 14 times 6 would get you 84

Then subtract 84 from 89 and you get 5 plants left over ^^

is this correct?

A.yes

B. No

C. Maybe

D. I DUNNO???!!!

Answers

Answer:

its yes

Step-by-step explanation:

because it's x 2  I hope this helps      

 

Stacy’s goal is to run at an average speed of 1 mile per 10 minutes. What is the number of laps that she must run in 1/2 hour to reach her goal?

Answers

Answer:

3 miles (3 laps)

Step-by-step explanation:

Assuming 1 lap is a mile, and 1/2 hour has 30 minutes, 1 mile per 10 minutes gives us 3 miles.

Which of the following is the correct factorization of the polynomial below?

p^3 - 125q^3

A. (p - 5q)(p^2 + 5pq + 25q^2)

B. (p - 25q)(p^2 + 25pq + 25q^2)

C. (p^2 + 10q)(p^3 + 25pq + 5q^2)

D. The polynomial is irreducible.

Answers

The answer to your question is A. Have a great day

The correct factored form of the expression p³ - 125q³ is,

(p - 5q)(p² + 5pq + 25q²).

What is a polynomial?

A polynomial is an algebraic expression.

A polynomial of degree n in variable x can be written as,

a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² +...+ aₙ.

What is a factor of a polynomial?

We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.

To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.

We know, a³ - b³ = (a - b)(a² + ab + b²).

Given, An expression p³ - 125q³.

= p³ - (5q)³.

= (p - 5q)(p² + p.5q + (5q)²).

= (p - 5q)(p² + 5pq + 25q²).

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What is the surface area of this right prism?

600 in²

720 in²

840 in²

1440 in²
Right triangular prism. The height of the prism is labeled 12 in. The base of the prism is an isosceles triangle with legs labeled 13 in., 13 in., and 24 in. The height of the triangle is perpendicular to the side labeled 24 in. and is labeled 5 in.

Answers

The surface area of the right prism with an isosceles triangle base is 720 inches squared.

Surface area of a triangular prism

surface area = bh + l(x + y + z)

where

b = base of triangle.h = height of triangle.l = height of the prism.x, y and z are the side of the triangle.

Therefore,

b = 24 inches

h = 5 inches

x = 13 inches

y = 13 inches

z = 24 inches

l = 12 inches

Surface area = 24 × 5 + 12(13 + 13 + 24)

Surface area = 120 + 12(50)

Surface area = 120 + 600

Surface area = 720 inches²

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Q10. Consider the following algorithm:
g_1 = 9

g_2 = 5
Git
For k starting at 0 and ending with 8:
gk = (k-1)*gk-1 + gk-2

What is the last term, 8, of the recursive sequence generated as a result of
executing this algorithm?

Answers

Answer:

  61,940

Step-by-step explanation:

For a recursive sequence of reasonable length, it is convenient to use a suitable calculator for figuring the terms of it. Since each term not only depends on previous terms, but also depends on the term number, it works well to use a spreadsheet for doing the calculations. The formula is easily entered and replicated for as many terms as may be required.

__

The result of executing the given algorithm is shown in the attachment. (We have assumed that g_1 means g[-1], and that g_2 means g[-2]. These are the starting values required to compute g[0] when k=0.

That calculation looks like ...

  g[0] = (0 -1)×g[-1] +g[-2} = (-1)(9) +5 = -4

The attachment shows the last term (for k=8) is 61,940.

A student wants to interview other students about their favorite sport. The student interviews every fifth student who enters the school in the morning. Is this a random sample or a biased sample?


A
Random sample

B
Biased sample

Answers

Answer:

Biased

Step-by-step explanation:

A tree of 14m height is broken by the wind so that its top touches the ground and makes an angle of 60° with the ground. Find the length of the broken part of the tree.
Please help me,
I'll will mark as BRAINLIEST...​

Answers

Answer:

  7.50 m

Step-by-step explanation:

The side lengths of the "special triangle" with angles 30°-60°-90° have the ratios 1 : √3 : 2. These ratios can be used to solve the problem.

__

The parts of the tree of interest correspond to the long side and the hypotenuse of a 30-60-90 triangle.

In terms of the above ratio units, the fraction of tree height that is broken off is ...

  [tex]\dfrac{\text{hypotenuse}}{\text{hypotenuse $+$ long side}}=\dfrac{2}{2+\sqrt{3}}\approx0.535898[/tex]

So, the length of the broken part of the tree is ...

  0.535898 × 14 m ≈ 7.50 m

Explain why 0.323232 is greater than 0.32

Answers

Answer:

0.323232 is the greater number

Step-by-step explanation:

This is because if you write the numbers the same way, there is a difference between the first 0 and the 3.

Look here: 0.323232       0.320000

You can see that there is a 3 after the first 2, therefore that shall deem the greater number.

Please help me yall… my math is due tommorrow!

Answers

Answer:

Step-by-step explanation:

Remark

I think the easiest way to do this is to calculate the probability of those that are 12 to 24. Then subtract the decimal you get from 1. That saves you adding up 3 numbers to get the same answer.

Givens

Total number of movie goers = 3880

Total number that are between 12 and 24 = 1180

Solution

Probability of a random person being drawn from 1180

people between 12 and 24 = Those between 12 and 24 = 1180

Total Number = 3880

P(12 - 24) = 1180 / 3880

P(12 -24) = 0.3041

Remember, that's not what you want. You want everyone else

P(not(12-24)) = 1 - 0.3041

Answer 0.6959

Emily is 4 years Jacob's junior. Eight years ago. she was half Jacob's age. How old are they?

Answers

Answer:

Emily is now 12.

Jacob is now 16.

Step-by-step explanation:

since Emily is 4yrs younger than Jacob, let Jacob be x and Emily be (x - 4) yrs.

eight yrs ago: Emily is ( x-4-8) = ( x - 12)

Jacob is ( x - 8)

Emily was half Jacob's age: so, we have to balance the ages by either multiplying Emily's age by 2 or dividing Jacob's age by 2. ( I multiplied by 2)

2( x - 12) = x - 8

2x - 24 = x - 8............ Bring the like terms together and solve for x

x = 16, which is Jacob's current age

Emily ( x - 4) = 12 yrs

One side of a rectangle is twelve feet longer than three times another side of the rectangle . Find the sides we also know that the area of the rectangle is 231f * t ^ 2

Answers

Answer:

Length: 33 ft

Width or side: 7 ft

Step-by-step explanation:

Check the attachment.

8 + X = 14 what does X equal to?

Answers

Answer:

x=6

Step-by-step explanation:

Rearrange terms:

8+x=14

x+8=14

Subtract 8 from both sides and simplify.

Given :-

8 + X = 14

To find :-

The value of X

Solution :-

8+x = 14

Transferring 8 to Right side

x = 14-8 (Signs change when transferred to opposite side)

x = 6

What is 594 minus 236?

Answers

Answer:

358

Step-by-step explanation:

the answer is 358 because

find the length of the missing side. if your answer is not an integer, leave it in simplest radical form.

Answers

Answer:15h

Step-by-step explanation: because 8m+7m = 15h and the side the H is on is way bigger than the other sides so thats how you know your supposed to add.

HELP ASAP!!!

This circle is centered at the origin, and the length of its radius is 3. What is
the circle's equation?

A. x + y3 = 27
B. x² + 7 = 9
c. x² + 7 = 3
D. x+y = 3

Answers

The answer will be d but I am not fully sure.

13) You pick a card and pick a marble. How many possible outcomes are there?
3
4 | 5
67
A) 5
OB) 2.
OC) 10
OD 6

Answers

Answer:

5+2. =10. 4. You pick a card, flip a coin, and spin the spinner. How many outcomes are possible? Zx2x3 =12. Op. 2*2*3=12

Step-by-step explanation:

5+2. =10. 4. You pick a card, flip a coin, and spin the spinner. How many outcomes are possible? Zx2x3 =12. Op. 2*2*3=12

Rewrite the parametric equations in Cartesian form: X(t) = -3sin t, y(t) = 3 cos t​

Answers

Hi the answer is 9sin ur welcome Hope this helps have a great day

Answer:

[tex]( \frac{x}{3} ) {}^{2} + ( \frac{y}{3}) {}^{2} = 1[/tex]

or x² +y²= 9

Step-by-step explanation:

In Cartesian form, the equation is expressed only in terms of y and x.

x= -3sin(t) -----(1)

y= 3cos(t) -----(2)

I've written x instead of x(t) as in the later part of the working, we will be having an equation of only x and y, thus x will no longer be a function of t. This applies to equation 2, where I have replaced y(t) with y.

Relating sine to cosine:

sin²(t) +cos²(t)= 1

[sin(t)]² +[cos(t)]²= 1 -----(3)

From (1):

[tex] \frac{x}{ - 3} = \sin(t) [/tex]

[tex] \sin(t) = - \frac{x}{3} [/tex] -----(3)

From (2):

[tex] \frac{y}{3} = \cos(t) [/tex]

[tex] \cos(t) = \frac{y}{3} [/tex] -----(4)

Substitute (4) &(5) into (3):

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

[tex]( \frac{x}{3} ) {}^{2} + ( \frac{y}{3} ) {}^{2} = 1[/tex]

The steps below are optional as the above is already considered to be the Cartesian form.

[tex] \frac{ {x}^{2} }{9} + \frac{y {}^{2} }{9} = 1[/tex]

Multiplying both sides by 9:

x² +y²= 9

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