Write the equation of a line that is parallel to y = –5/4x +7
and that passes through the point -4.1).

Answers

Answer 1

Step-by-step explanation:

a general line equation is

y = ax + b

the slope of a line is always the factor of x (a).

it is expressed as ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point to another.

so, here it is -5/4.

it says, when x changes by +4, then y changes by -5.

a parallel line must have the same slope. it just crosses the y-axis at a different point. and that is what b specifies in the equation. it tells us the y value when x = 0.

and we get it by using the point coordinates in the equation and then solve for b :

1 = -5/4 × -4 + b = (-5 × -4)/4 + b = 20/4 + b = 5 + b

b = -4

so, the full equation of the parallel line is

y = -5/4x - 4


Related Questions

it takes clay 1/2 hour to mow his lawn how much of the yard will be mowed after 1/3 hour

Answers

Answer:

Step-by-step explanation:

Clays rate is 1/2 hour per lawn.  We can write this as Rate = 3/2 hr/lawn.

If Clay mows for 1/3 hour, we can determine the amount of lawn mowed by dividing the 1/3 hour by the rate:

(1/3 hr)/(3/2 hr/lawn) = (1/3)*(2/3) = 2/9 of a lawn.

[tex]\sf 78-2x=87-3x[/tex]

Answers

Answer:

x = 9

Step-by-step explanation:

78 - 2x = 87 - 3x

3x - 2x = 87 - 78

x = 9

ANSWER

x = 9

Step-by-step explanation:

=> 78-2x= 87 -3x

=> 78-87=-3x+2x

=> -9 = -x

=> x = 9

Please help me and
explain how you got the answer

Answers

Answer:

x = 7°

Step-by-step explanation:

∠WST is an exterior angle of the triangle

The two interior angles (5x - 1) and (57) add up to WST ( 12x + 7) because they are the non-adjacent interior angles

Solve:

(5x - 1) + (57) = (12x + 7)

5x - 1 = 12x - 50

-1 = 7x - 50

49 = 7x

x = 7

-Chetan K

find the missing triangle measurements. I WILL GIVE BRAINLIEST! PLEASE

Answers

Answer:

ABC= 60

DCE= 65

DEF= 105

Step-by-step explanation:

Answer:

60°; 65°; 115°

Step-by-step explanation:

ΔABC is equilateral since all sides marked as congruent. Therefore:

m∠ABC = 60°

ΔCDE is isosceles since two sides marked as congruent:

m∠DCE = m∠DEC = 1/2(180° - 50°) = 1/2(130°) = 65°

∠DEF forms a linear pair with ∠DEC, so they sum to 180°:

m∠DEF = 180° - 65° = 115°

Owen had 8,452 books donated to our school. If he shares with with 23 classes about how many books does each class get? Again assesment due tom :,)

Answers

Answer:

327.5

Step-by-step explanation:

8452/23 = 327.478

Round to about 327.5 books per class

Answer:

each class gets 367 books

what is 18 kg in grams​

Answers

Answer:

18 000

Step-by-step explanation:

One kg is 1000 grams.  18 kg are 18 x 1000 = 18 0000 grams.

18,000 because I’m like that Goated #yb better

please dont give a useless answer

Answers

Answer:

[tex]\frac{7}{10} ,0.7[/tex]

Reasoning:

Do the inverse of adding 4/5 to isolate and find a.

[tex]1\frac{1}{2} - \frac{4}{5} =\frac{7}{10}[/tex]

Decimal Form:

[tex]1.5-0.8=0.7[/tex]

Answer:

  a = 0.7 = 7/10

Step-by-step explanation:

Subtract 4/5 from both sides.

  a + 4/5 = 1 1/2

  a + 0.8 = 1.5

  a + 0.8 -0.8 = 1.5 -0.8 . . . . subtract 4/5 from both sides

  a = 0.7 = 7/10

_____

If you like, you can solve this a couple of other ways:

1) Solve it as an integer problem.

  10a +8 = 15 . . . . . . multiply the given equation by 10 to clear fractions

  10a = 7 . . . . . . . . subtract 8

  a = 7/10 . . . . . . divide by 10

2) Use a common denominator

  a +8/10 = 1 5/10

  a = 1 5/10 -8/10 . . . . . subtract 8/10

  a = 15/10 -8/10 = (15 -8)/10 = 7/10 . . . . . convert to improper fraction

__

Additional comment

It is a good idea to get comfortable working with numbers in any form in which they are presented: decimal, fraction, mixed number, scientific notation, percentage. Knowing how to convert between forms is essential.

a.
Write the equation in slope intercept form of a line that goes through the points
(-7, 10) and (1,4). Hint: once you find m, you will need to solve for b

Answers

Answer:

y= -¾x + 19/4

Step-by-step explanation:

get gradient and substitute

Write 456 in expanded notation using powers of 10​

Answers

Answer:

400+50+6

Step-by-step explanation:

456 means 400+50+6

5

7

2

8

1) what is the area (square units)

Answers

area: 560

Explanation: multiply everything together

The density of glass in a bottle is 2.4gcm^3. The volume of glass used to make the bottle is 13.4cm^3. Calculate the mass of the glass bottle. ​

Answers

Answer:

Density is g/cm^3, not gcm^3

Mass = 32.16 grams [32.2 grams for 3 sig figs)

Step-by-step explanation:

Density = Mass/Volume

Density = 2.4g/cm^3

Volume = 13.4cm^3

---

2.4g/cm^3 = Mass/13.4cm^3

Mass = (2.4g/cm^3)*(13.4cm^3)

Mass = 32.16 grams [32.2 grams for 3 sig figs)

The mass of the glass-bottle is 32.16 grams.

What is volume?

Space occupied by an object in three-dimensional space is called as volume of an object. In simple words, space is taken by object.

Given:

The density of glass in a bottle is 2.4 grams per cubic centimeters.

The volume of glass used to make the bottle is 13.4 grams per cubic centimeters.

Density = Mass/Volume

Density = 2.4 grams per cubic centimeters.

Volume = 13.4 cubic centimeters.

Substituting all the values,

2.4 = Mass / 13.4

Mass = 13.4 x 2.4

Mass = 32.16

Therefore, mass = 322.16 grams.

To learn more about the volume;

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#SPJ2

Use the graph to identify the following: end behavior. for a branlist

Answers

Answer:

the first option, increasing as x approaches infinity and decreasing as x approaches negative infinity

Step-by-step explanation:

Which division problem is modeled

Answers

Answer:

The first one

Step-by-step explanation:

if you count, there are five full rows, and two extra, so 52/100. then you count the sections that the colored area is: 4. then count how many squares are in each colored section: 13.

14. At a local fruit stand, Luisa spends $5.25 for 2 pounds of strawberries. At this rate, how much can she expect to pay for 3.5 pounds of strawberries? (round to the nearest hundredt
h) Proportion Answer

Answers

$6.25 jdhdhdhdhdhdbrr

Ahmed invests an amount of $1200 for three years at 6%. Work out its a- Simple interest b- Total amount after three years.

Answers

Answer: In 3 years the money earned 18%. If we rounded to 20%, the interest would have been 500(0.20) or $100. Yes, $90 is reasonable.

HELLO PLEASE GIVE ME THE RIGHT ANSWER ASAP THANK YOU !

Answers

[tex]\large\underline{\sf{Solution-}}[/tex]

[tex]\textsf{Given expression;}\\[/tex]

[tex] \rm{23 = \frac{7}{9}(6x - 36) + 9 } \\ [/tex]

[tex] \rm{\longmapsto} \: 23 = \frac{(42x - 256)}{9} + 9 \\ [/tex]

[tex] \rm{\longmapsto} \: 23 = \frac{(42x - 256 + 81)}{9} \\ [/tex]

[tex] \rm{\longmapsto} \: 23 = \frac{(42x - 175)}{9} \\ [/tex]

[tex] \rm{\longmapsto} \: \frac{23}{1} = \frac{(42x - 175)}{9} \\ [/tex]

[tex]\textsf{By doing cross multiplication, we get}\\[/tex]

[tex] \rm{\longmapsto}23(9) = 1(42x - 175) \\ [/tex]

[tex] \rm{\longmapsto}207 =42x - 175\\ [/tex]

[tex]\rm{\longmapsto} \: 42x = - 175 - 207 \\ [/tex]

[tex]\rm{\longmapsto} \: 42x = - 379 \\ [/tex]

[tex]\rm \therefore \: x = - \frac{375}{42} \\ [/tex]

[tex]\textsf{Hence, the value of x will be -375/42 respectively.}\\[/tex]

[tex]\textbf{Read more:}[/tex]

[tex]\textsf{Similar Questions}[/tex]

Solve the expression and find the value of x. [tex] \frac{x⁠…

https://brainly.com/question/25420312

Please help me with this

Answers

The answer is 1 and 7/8. The last answer
1 7/8
3/5 x 3 1/8 (25/8) = 1.875
1.875 as a fraction is 1 7/8

In two or more complete sentences describe how to determine if the function, f(x) =3cos(x) is even by looking at a graph

Answers

Answer:

You know that a cosine graph is a sine graph moved to the left by pi/2, therefore, like a linear equation, you need to make the cosine graph 3 times less width.

Step-by-step explanation:

Find the measures of angles 1 and 2.

Answers

Answer:

angle one:100 degrees

angle two:70 degrees

Step-by-step explanation: so angle two and the angle with 70 degrees are alternate angles, so they would be the same. at this point if you subtracted 70 from 180 because angle b is 180 degrees, you would get 110, so then you would have three angles, and it wouldn't be too hard to find the fourth, which is 100 degrees.

I need helpppp with 1-9

Answers

Answers:
1. x=1 y=3
2. x=2 y=1
3. x=2 y=2
4. x=5 y=5
5. x=2 y=0
6. x=2 y=1
7. x=3 y=-1
8. x=1 y=-3
9. x=1 y=0

Tell me if you want a step by step on any of them!! I can add that if you want.

Hope this helped. :)

[tex]\boxed{\sf 2x+31=5}[/tex]

Answers

2x + 31 = 5

2x = 5 - 31

2x = -26

x = -26/2

x = -13.

_______

꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂

[tex] \sf \: 2x + 31 = 5[/tex]

[tex]\sf \longmapsto \: 2x = 5 - 31[/tex]

[tex]\sf \longmapsto \: 2x = -26[/tex]

[tex]\sf \longmapsto{x }= \frac{ - 26}{2} [/tex]

[tex]\sf \longmapsto \: x = - 13[/tex]

[tex] \boxed{\sf - 13}[/tex]

Suppose the graph of y = f(x) is translated left 2 units, and up 8 units, then stretched vertically by a
factor of 3.

The new graph will have equation y =

Answers

Answer: f(x)=3(x+4)+ 8

Step-by-step explanation:

Stretch vertically by a factor of 3:  y = 3x

 

Then, translate two units leftward:  y = 3(x+2)

 

Then, translate 8 units upward:  y = 3(x+4)+ 8

100 points if you get this

Answers

Answer:

....

Step-by-step explanation:

Answer:

I AGREE

Step-by-step explanation:

What is the average rate of change of the function f(x)=120(0. 1)x from x = 0 to x = 2? Enter your answer, as a decimal, in the box. Do not round your answer.

Answers

The average rate of change of the function is -59.4

The formula for calculating the rate of change of the function is expressed as:

[tex]f'(x)=\frac{f(b)-f(a)}{b-a}[/tex]

Given the function

[tex]f(x)=120(0.1)^x\\f(0) = 120(0.1)^0\\f(0)=120\\[/tex]

Get the value of f(2)

[tex]f(2)=120(0.1)^2\\f(2) = 120(0.1)^2\\f(2)=1.2\\[/tex]

Substitute into the formula to have:

[tex]f'(x)=\frac{1.2-120}{2-0}\\f'(x)=\frac{118.8}{2} \\f'(x)= -59.4[/tex]

Hence the average rate of change of the function is -59.4

Learn more on the rate of change here: https://brainly.com/question/11627203

Twelve square tiles, each measuring 5 inches
on a side, are laid side by side. What is the total
width of the tiles?

Answers

Answer:

pretty sure 60, 5 x 12

Step-by-step explanation:

just do 5 x 12 if there's 12 tiles and their measurement is 5 inches each

solve |8y+4|=2|y-1|
please show the work!

Answers

8y+4 = 2(y-1)
8y+4 = 2y-2
8y-2y+4 = -2
6y+4 = -2
6y = -2-4
6y = -6
y = -1

A retirement account was opened with a $900 deposit. If the account earns 4.25% interest compounded continuously and has no other deposits or withdrawals, how long will it take the value to double?​

Answers

It will take 16.66years long for the money to double

The formula for calculating the compound amount is expressed as:

A = P(1+r)^t

A is the amount after t years  = 2(900) = $1800P is the amount invested = $900r is the rate in decimal  = 4.25% = 0.0425

Substitute into the formula to have:

1800 = 900(1+0.0425)^t

2 =(1+0.0425)^t

2 = 1.0425^t

ln2 = tln1.0425

t =  ln2/ln1.0425

t = 0.6931/0.0416

t = 16.66years

This shows that it will take 16.66years long for the money to double

Learn more on compound interest here: https://brainly.com/question/18483293

20 points answer please

Answers

Answer:

just d

Step-by-step explanation:

Hope this helps!❆

what is a trinomial?

Answers

Answer:

In elementary algebra, a trinomial is a polynomial consisting of three terms or monomials.

Answer:

An algebraic expression of three terms

Step-by-step explanation:

A trinomial consists of 3 terms connected to one another by + or - sign(s).

Examples:  x^2 - 2x - 5 is a trinomial:  Its 3 terms are arranged in descending order by powers of x.


Dante argues that point P is the circumcenter of the triangle. Determine if
Dante is correct and justify your answer.

Answers

Dante is incorrect because point P is not the circumcenter of the triangle.

What is the circumcenter of a triangle?

The circumcenter of a triangle is a specific point or location either inside or outside the triangle that represents the center if a circumcircle is drawn or if a circle that touches all the vertices of a triangle is drawn.

How to identify a circumcenter?

There are some simple characteristics to determine if a circumcenter is correct.

All the vertices of a triangle have the same distance from the circumcenter.In obtuse triangles like the one shown in the image, this point is located outside the triangle.

Based on these characteristics we can conclude Dante is incorrect because the distance from point P to the three vertices is not the same and this point should be located outside not inside the triangle.

Learn more about triangle in: https://brainly.com/question/25813512

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