Please Help!!

Find the equation (in terms of x) of the line through the points (-5,-4) and (4,1)

Answers

Answer 1

Step-by-step explanation:

we first find the gradient

when y1=-4, x1=-5 and y2=1, x2=4

gradient={(y2-y1)÷(x2-x1)}

gradient={1-(-4)}÷{4-(-5)}

gradient=(1+4)÷(4+5)

gradient=5÷9 OR 0.5555

To find the equation interm of x

we substitute for the gradient in the formula

y-y1=gradient (x-x1)

y-(-4)=(5÷9)(x-×-5)

y+4=(5÷9)(x+5)

y+4=(5x+25)÷9 Cross multiply ✖️

9(y+4)=(5x+25)(1)

9y+36=5x+25 collect like terms

9y=5x+25-36

9y=5x-11 divide both sides by 9

y=(5x-11)÷9.......ans


Related Questions

what is a perimeter of triangle​

Answers

Answer:

a+b+c is the formula for calculating the perimeter of a triangle:)

Step-by-step explanation:

brainiest to whoever right

Answers

Answer:

(x - 6)(x + 2)

Step-by-step explanation:

x^2 - 4x - 12

=x^2 - 6x + 2x - 12

=x( x - 6) + 2(x - 6)

=(x - 6)(x + 2)

Answer:

x^2 -4x-12

factorization of 12 =2×2×3 = 6×4

or in the place of 4x = we put (6-2)x

x^2-(6-2)x-12

x^2-6x+2x-12

x(x-6)+2(x-6)

(x-6) (x+2)

Romeo bought a mixture of 20-cent, 35-cent,
and 50-cent valentines. The number of 20-cent
valentines was 1 more than twice the number of
35-cent valentines, and the number of 50-cent
valentines was 2 less than the number of
35-cent ones. If he spent $4.20 all together,
how many valentines of each kind did he buy?

Answers

9514 1404 393

Answer:

20-cent: 935-cent: 450-cent: 2

Step-by-step explanation:

Let x, y, z represent the numbers of 20-cent, 35-cent, and 50-cent valentines. Then the given relations can be written as ...

  x = 1 +2y

  z = -2 +y

  0.20x +0.35y +0.50z = 4.20

__

Using the first two equations to substitute for x and y in the third equation, we get ...

  0.20(1 +2y) +0.35y +0.50(-2 +y) = 4.20

  1.25y -0.80 = 4.20 . . . . . simplify

  1.25y = 5.00 . . . . . . . . . . add 0.80

  y = 4 . . . . . . . . . . . . . . . divide by 1.25

  x = 1 +2(4) = 9

  z = -2 +4 = 2

Romeo bought 9 20-cent, 4 35-cent, and 2 50-cent valentines.

A 45° angle is complementary to angle x. Which of the following equations represents this situation?​

Answers

Step-by-step explanation:

A 45° angle is complementary to angle

45°+=90°

I hope it helped U

stay safe stay happy

4/x-7=7/x+6

What is x

Answers

Answer:

21

Step-by-step explanation:

[tex]4x + 24 = 7x - 49 \\ then \: collect \: the \: same \: variable \\ 4x - 7x = - 49 - 24 \\ x = - 63 \div - 3 = 21[/tex]

28) Find the circumference of a circle with a diameter of 2.5 inches. (it = 3.14)

Answers

Answer: Circumference = 7.85 inches

Concept:

Here, we need to know the idea of circumference.

The circumference is the perimeter of a circle. The perimeter is the curve length around any closed figure.

Circumference = 2πr

r = radius

π = constant

Solve:

Given information

r = (1/2) d = (1/2) (2.5) = 1.25 inches

π = 3.14

Given formula

Circumference = 2πr

Substitute values into the formula

Circumference = 2 · (3.14) · (1.25)

Simplify by multiplication

Circumference = (2.5) · (2.14)

Circumference = [tex]\boxed {7.85 inches}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Step-by-step explanation:

Using the formulas

C=2πr

d=2r

Solving forC

C=πd=π·2.5≈7.85398in

how do you simplify this question x^3z^7/x^5z

Answers

Answer:

go to symbolab and it will simplify for you, brainly is useless with these kinds of questions. Symbolab.com very easy to use and gives you answer right away instead of have to wait for some oaf like me to solve your problems.

Step-by-step explanation:

Renaldo can rollerblade 9.7 miles per hour. at this rate, how far will he rollerblade in 0.75 hours?​

Answers

Answer:  1.125 miles

Step-by-step explanation:

Please help ASAP!!!!

Answers

Answer:

x = y - 8

Step-by-step explanation:

To solve for x just subtract 8 from both sides to isolate x.

Hello! Can someone please answer the photo? I honestly forgot about Prime Factorization... No links please and thank you!

Answers

Answer:

D

Step-by-step explanation:

im thinking its d, because prime factorisation is a way of expressing a number as a product of its prime factors.

a isn't correct since 9 isn't is a prime number.

b isn't correct because you wouldn't use decimals typically.

c isn't correct because 1 is not a prime number.

d is the only correct solution since all the numbers listed are prime numbers.

How do I do this, is the equation 40=ksqrt(65)?

Answers

Answer:

Step-by-step explanation:

Start a little more generally. Carefully find k

distance = k * speed ^2      

112 = k*40^2

112 = k * 1600                     Divide by 1600

112/1600 = k

k = 0.07

Now do the question you are asked to do.

distance = k * speed^2

distance = 0.07 * 65^2

distance = 295.75

Now having done that, you can set up a proportion.

d1 / d2 = k speed1^2/kspeed2^2      Cancel the ks

112/d2 = 40^2 / 65^2                         Cross multiply

112 * 65^2 = 40^2 * d2                      Divide by 40^2

112 * 65^2/40^2 = d2                        Expand the squares

112 * 4225 / 1600 = d2

295.75 = d2    

The second way is shorter, but I suggest the long way until you get comfortable with it.

true or false An insurance broker is the best person to advise you on the type of insurance you need.

Answers

Answer:

that's sooooooo trued to me

the supplementary are in the ratio 1:5. What is the measure of the smaller angle?

Answers

Answer:

[tex]thank \: you[/tex]

Given directed line segment JL below, find the coordinates of K such
that the ratio of JK to JL is 7:8. Plot point K.

Answers

The coordinate of JK is (-1.7, -0.3)

The coordinate of the points that divides the line segment in the given ratio is calculated as:

[tex](x, y) = (\frac{ax_1 +bx_2}{a+b} , \frac{ay_1 +by_2}{a + b} )[/tex]

where;

a:b = 7:8

From the image;

(x₁, y₁) = (-6, 5) and,

(x₂, y₂) = (2, -5)

Substitute the given points in the equation above to calculate the coordinates of JK.

[tex](x, y) = (\frac{7(-6)+8(2)}{7+8} , \frac{7(5) +8(-5)}{7+8} )\\\\(x, y) = (\frac{-26}{15} , \frac{-5}{15} )\\\\(x,y) = (-1.7, -0.3)[/tex]

Thus, the coordinate of JK = (-1.7, -0.3)

Check the image uploaded for the plot of point K

Learn more here:https://brainly.com/question/12547932

the ratio of two number is 4:7 and their hcf is 6 .find their lcm​

Answers

168

this is the full process

the bill for dinner came to $75.48. The four Freinds decided to leave a $15.00 tip. If thwy share the bill equally, how much will each friend pay?

Answers

I believe the answer would be $22.62

A mountain is 15,062 feet above sea level, and a valley is 350 feet below sea level, what is the difference in elevation between the mountain and the valley?

Answers

Answer:

14,712 ft difference

Step-by-step explanation:

15,062 - 350 = 14,712

Answer:

Step-by-step explanation:

Difference in elevation is 15,062-(-350)=15,062+350=15,412

can someone help me with this one again bc I didn't show the decimal Decimal: 0.44​

Answers

Step-by-step explanation:

The answer is 10 times

=> 4 hundredths x 10 = 4 tenths

=> 0.04 x 10 = 0.4, which is correct

Hope that helps

One airline carried 3,720 people on 31 flights between Portland and Los Angeles. If there were the same number on each flight, how many people were on each flight?
Please help ASAP!

Answers

Divide total people by total flights:

3720/31 = 120

There was 120 people on each flight

Cindy had $100 in her savings account. The bank accidentally charged her a $30 service fee. How much money does that leave her with as a balance? *

Answers

Answer:

$70

Step-by-step explanation:

Find how much money she has left by subtracting 30 from 100:

100 - 30

= 70

So, she has $70 left in her balance.

For what value(s) of x is f(x)=3?

Answers

Answer:

D

Step-by-step explanation:

Remember that for this kind of question, when f(x) is given as 3, then 3 is the y value of the point. So you must have a point whose value is (x,3)

There is only one point that does that. x = - 2

The answer is D

I NEED HELP ON THIS!!!

Look at the triangle below.

Which equation is equivalent to the law of cosines?


A

a2=c2−2cx+h2


B

a2=c2−2cx+x2+h2


C

a2=c−x2+h2


D

a2=c2−x2+h2

Answers

Answer:

I believe the answer is B. a^2 = c^2 - 2cx + x^2 + h^2

Step-by-step explanation:

The law of cosines states: c^2 = a^2 + b^2 - 2bc * cos(C). If we plug in the values from the diagram, we'll have (c-x)^2 = a^2 + h^2 -2ah * cos(90)

cos(90) = 0, so now we have just (c-x)^2 = a^2 + h^2

Let's expand this to c^2 -2cx + x^2 = a^2 + h^2

Isolate a^2 and we now have a^2 = c^2 -2cx + x^2 + h^2

pls vote me brainliest if i was able to help you!! <3

Question
Translate and solve 3084 is what percent of 24,99

Answers

81.03% Hope this helps!

helpppp timed on this helppp me quick brainleast

Answers

Answer:

Answer 1

Step-by-step explanation:

Hey here! This is your answer:

L = 9

Step-by-step explanation:

Using the formula A = wl we can figure out this question.

[tex]l=\frac{A}{W} = \frac{36}{4} =9[/tex]

8= 8 + 4x +5x

can anyone help me with this

Answers

Answer:

0= x

Step-by-step explanation:

8= 8 + 4x +5x

Combine like terms

8 = 8+9x

Subtract 8 from each side

8-8 =8+9x-8

0 = 9x

Divide by 9

0/9 = 9x/9

0= x

Point C is in the interior of

Answers

Answer:

Point C is in the interior of angle ABD.

tìm diện tích hình thang

Answers

Answer:

Diện tích hình thang bằng trung bình cộng của 2 đáy nhân với chiều cao của nó. Trong đó: + S: Diện tích. + a,b: Lần lượt là độ dài 2 đáy.

Step-by-step explanation:

uhhh hope that helps:3

Adnan earns $48,000 per year. His employer offers him a 4 % raise if he stays with the company What would his new salary be ?

A. 49,929
B. 1,920
C.46,080
D. 192,000

Answers

Answer:

A. 49,920

Step-by-step explanation:

Multiply the beginning value by 1 plus the percentage in decimal form.

A is the answer hope this helps

Use the order of operations to evaluate the expression below.
3 + 5 x 5 - 50 ÷ 2 + 3 - 4

Answer here

Answers

Answer:

2

Step-by-step explanation:

=3+5×5-25+3-4

=3+25-25+3-4

=28-22-4

=28-26

=2

Answer:

2

Step-by-step explanation:

3 + 5 * 5 - 50 / 2 + 3 - 4

3 + (5 * 5) - 50 / 2 + 3 - 4  => Multiplication what ever comes first

3 + 25     (-50 / 2) + 3 - 4  => Division left to right

(3 + 25)     - 25  +( 3 - 4)  => Addition what ever comes first

28  - 25 - 1 => Substraction  left to right

2

Leave comment if you're curious.

Solve for w.
|5w + 7) = |5w + 8)

please help :)

Answers

Answer:

w=3/2

Step-by-step explanation:

[tex]|5w+7|=|5w+8|\\5w + 7 =\pm (5w+8)\\5w + 7 = 5w + 8 \text{ or } 5w + 7 = -5w-8\\7 = 8 (\text{abusrd}) \text{ or } 10 w =15\\w= 15/10 = 3/2.[/tex]

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