Mathematics High School

What is an equation of the line that passes through the points (5,2) and (-5,-6) PLEASE ANSWER

Answers

Answer 1

Answer:

y = 4/5 x - 2

Step-by-step explanation:

Find for slope first:

m = (y2 - y1) / (x2 - x1)

= [(-6) - 2] / [(-5) - 2]

= -8/-10

= 4/5

Solve for b. Use (5, 2)

y = mx + b

2 = 4/5 (5) + b

2 = 20/5 + b

2 = 4 + b

2 - 4 = b

-2 = b

Substitute the value of m and b.

y = mx + b

y = 4/5 x + (-2)

y = 4/5 x - 2

Related Questions

3) Louise has 500 cents in her piggy bank. Uncle Jim gave her a few cents on his visit.
If Louise has 765 cents, how many cents did Uncle Jim give her?

Answers

Answer:

265

Step-by-step explanation:

because she had 500 and now she has 765 so he gave her 265

Answer:

265

Step-by-step explanation:

Because before her Uncle visited she had 500 cents and he gave her a total of ? cents she now has 765.

Meaning what = 765 when you add it to 500.

500 + ?=765. we know 500 + 200=700 but she has 65 more than 700 so s you add that to our answer we get 765.

5 0 0

2 6 5

+______

7 6 5=765

Hope it helps have a great day:)

The water level in a well decreased by 6 inches every month due to evaporation. What is the change in the water level after a six month period of time?

Answers

Step-by-step explanation:

we don't know what level it was originally at so well use a variable for the unknown number. If you take 6 inches and do that 6 times for each month you will have 36 inches lost so w= water i = inches

w-(6i x 6) = 36

This isn't the best explanation but I hope this helps you

Demi solves 30 questions in 10 minutes. Which statement correctly describes the unit rate of questions
per minute

Answers

Answer:

She answers 3 questions per minute!!

Step-by-step explanation:

I know this because 3x10 = 30 and if she solves 30 questions in 10 minutes, that means in 1 minute she solves 3 questions.

AnEgg is bought at 550 and sold at a percentage of loss of 22%. Calculate the Selling Price

Answers

Hey there!

=> [tex]550 \times \frac{22}{100} [/tex]

=> [tex] \frac{550}{1} \times \frac{22}{100} [/tex]

cancel the zeros of 100 and 550

=> [tex] \frac{55}{1} \times \frac{22}{10} [/tex]

=> [tex] \frac{1,210}{10} [/tex]

=> 121 ( Substract 121 from 550)

=> 429

Therefore, Selling price is 429

Perform the operation
(3x^2-10x+4)+(10x^2-5x+8)

Answers

Answer: 13x^2 - 15x + 12

Step-by-step explanation:

[tex]\left(3x^2-10x+4\right)+\left(10x^2-5x+8\right)[/tex]

[tex]=3x^2-10x+4+10x^2-5x+8[/tex]

[tex]\mathrm{Group\:like\:terms}[/tex]

[tex]=3x^2+10x^2-10x-5x+4+8[/tex]

[tex]\mathrm{Add\:the\:numbers:}\:4+8=12[/tex]

[tex]=3x^2+10x^2-10x-5x+12[/tex]

[tex]\mathrm{Add\:similar\:terms:}\:3x^2+10x^2=13x^2[/tex]

[tex]=13x^2-10x-5x+12[/tex]

[tex]\mathrm{Add\:similar\:terms:}\:-10x-5x=-15x[/tex]

[tex]=13x^2-15x+12[/tex]

A fifth grade class is rising money to buy a microscope for their classroom. They grew tomato plants to sell for 2.75 each.
Part A On one day, they raised 79.75 from selling tomato plants. How many plants did they sell?

Part B The next day, they sold the last 4 plants they had grown. How much money in dollars did they raise in all?

Answers

Answer:

Part A -- 29 plants

Part B -- 90.75$

Step-by-step explanation:

79.75 / 2.75 = 29

4 x 2.75 = 11

79.75 + 11 = 90.75

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

How do -11.5 and -9.5 compare? Choose the correct symbol

Answers

Answer:

-11.5 < -9.5

Step-by-step explanation:

If it's asking foto compare greater or less than, -9.5 is greater than -11.5

Hey there!

Here we are asked to compare the following decimals:

-11.5 and -9.5

how do we compare numbers?

Well, there are 3 symbols that we use:

< (less than)

> (greater than)

= (equal to)

is 11.5 equal to -9.5? nope!

Is -11.5 greater than -9.5?

No, because the decimals are negative.

Is -11.5 less than -9.5?

Yes.

Hence, the correct symbol is

[tex]\boxed{\boxed{\bold{-11.5 < -9.5}}}[/tex]

Hope everything is clear.

Let me know if you have any other questions!

#LearningDoesn'tEnd

:-)

For his science fair project, Ernesto is investigating the water quality in his school's water fountains. He finds that the water is safe to drink; a 50-milliliter water sample has just 13 milligrams of dissolved solids. If Ernesto fills a 2-liter bottle from one of the water fountains at his school, how many grams of dissolved solids would his bottle have?

Answers

Answer:

0.52grams of dissolved solids.

Step-by-step explanation:

; a 50-milliliter water sample has just 13 milligrams of dissolved solids. If Ernesto fills a 2-liter bottle from one of the water fountains at his school, how many grams of dissolved solids would his bottle have

50ml = 13mg of dissolved solids

1 litre = 1000 millilitres

2 liter = 2 × 1000 = 2000millilitres

50ml = 13mg

2000ml =

Cross Multiply

2000ml × 13m/50ml

= 520mg of dissolved solids.

We are to convert our final answer to grams

= 1 milligram = 0.001 gram

520 milligram =

520 mg × 0.001g/1 mg

= 0.52 grams of dissolved solids

Given the following information find the height.Volume=2,178πft³

Answers

Answer:

[tex]h = 5.73[/tex]

Step-by-step explanation:

Formula: [tex]V = \pi r^{2} h[/tex]

[tex]2178 = \pi (11)^{2} h[/tex]

[tex]2178 = 121\pi h[/tex]

[tex]2178 = 121 (3.14) h[/tex]

[tex]2178 = 379.94h[/tex]

[tex]h = 5.73[/tex]

I need help asap please

Answers

Answer:2.25

Step-by-step explanation:

you would move the variables to one side

-9= -6p+5p-3p

Then combine

-9= -4p

Then divide both sides by -4 which equals

2.25=p

Answer:

HKSHKSBSKSBZKSJSJSJKSSKJSSJJZJSKSBSKSKS B)

answer please !!!!!!

Answers

T/a and m/h
Proportion
Hope this helps

Determine what the constant, coefficient, and variable are in the expression 9x + 4

Answers

Answer:

constant-4

variable-x

coefficient-9

Step-by-step explanation:

Coefficient- the number being multiplied by a variable

Variable- the unknown, usually 'x'

Constant- the number that is all by itself.

An isosceles triangle has a perimeter of 45 cm. If the two equal sides are each twice as long as the smallest side, what is the length of the smallest side?

A: 3
B: 7
C: 9
D: 15
E: 18

Answers

The dartboard is in the form of a square and the circle is inscribed in it

The area of the dartboard is [tex]a_d=54\ inch^2[/tex]

Since the circle is inscribed on the dashboard so the diameter of the circle will be the length of the square

[tex]a_d=s^2=64[/tex]

[tex]s=\sqrt{64}=8\ inch[/tex]

Thus the diameter of the circle

[tex]d=8\ \ \ r= \dfrac{8}{2} =4 \ inches[/tex]

Now we will calculate the area of the circle

[tex]a_c=\pi r^2[/tex]

[tex]a_c=\ 3.14\times 4^2=50.24\ inch^2[/tex]

The area of the square outside the circle will be the difference of the area of the square and the area of the circle

[tex]64-50.24=13.76\ inch^2[/tex]

Now to find out the probability of the dart hitting outside the circle will be calculated as.

[tex]\rm Probability = \dfrac{Area \ outside \ circle }{Area \ of \ square}[/tex]

[tex]P= \dfrac{13.76}{64} =0.215[/tex]

Thus the probability that the dart lands inside the square but not on the circular dartboard is 0.215

To know more about probability follow

https://brainly.com/question/24756209

Answer:

22%

Step-by-step explanation:

Solve the system of equations by multiplying. Check the answer by graphing the system of equations.
{
- 4x + 3y = 15
2x +y = -5
The solution is _______?

Answers

- 4x + 3y = 15

2x + y = -5

I multiply x 3 the second equality

we will get

- 4x + 3y = 15

6x + 3y = - 15

difference of the 2 equalities

- 4x - 6x + 3y - 3y = 15 - (-15)

- 10x = 30

x = -3

so - 4*(-3) + 3y = 15

3y = 3

y = 1

check

- 4 * (-3) + 3 * 1 = 12 + 3 = 15

Solve the following system of equations using substitution, show all steps. 2x-4y=20 / x= 4

Answers

Answer:

(4, -3)

Step-by-step explanation:

Since we know that X = 4, when can set X = 4 in the other equation in order to solve for Y

2x - 4y = 20

2(4) - 4y = 20

8 - 4y = 20

-8 -8

-4y = 12

-4y/-4 = 12/-4

y = -3

Since we already know X = 4, the intersection point or solution to the System is (4, -3)

Hope this helps!

If Nadia is solving x^2 + 8x =24 by completing the square, what number should she add to
both sides?

Answers

Answer:

Subtract 24 from both sides.

Step-by-step explanation:

x2+8x=24

Step 1: Subtract 24 from both sides.

x2+8x−24=24−24

x2+8x−24=0

For this equation: a=1, b=8, c=-24

1x2+8x+−24=0

Step 2: Use quadratic formula with a=1, b=8, c=-24.

−b±√b2−4ac

−(8)±√(8)2−4(1)(−24)

2(1)

−8±√160

x=−4+2√10 or x=−4−2√10

Answer:

x=−4+2√10 or x=−4−2√10

Answer:

+ 16

Step-by-step explanation:

x² + 8x = 24

to complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(4)x + 16 = 24 + 16

hello people ~
factorise: 21x²+43-14

Answers

Answer:

[tex]\displaystyle [7x - 2][3x + 7][/tex]

Step-by-step explanation:

Find two quantities that when differed to 43, they also multiply to 294. Those will be 6 and 49. The TINIER quantity gets the minus symbol because the B-value is 43, therefore 49 gets the plus symbol, leaving 6 with the minus symbol. In extension, sinse we have a leading coefficient greater than one, we need to take extra procedures. Here is how it is done:

[tex]\displaystyle 21x^2 + 43x - 14 \\ \\ [21x^2 - 6x] + [49x - 14] \\ 3x[7x - 2] + 7[7x - 2] \\ \\ \boxed{[7x - 2][3x + 7]}[/tex]

I am joyous to assist you at any time.

[tex]\\ \rm\rightarrowtail 21x^2+43x-14[/tex]

[tex]\\ \rm\rightarrowtail 21x^2+49x-6x-14[/tex]

[tex]\\ \rm\rightarrowtail 7x(3x+7)-2(3x+7)[/tex]

[tex]\\ \rm\rightarrowtail (7x-2)(3x+7)[/tex]

Done!

Please help with my algebra

Determine whether the situation involves a permutation or combination. Then, find the number of
possibilities.
In how many ways could you choose 3 side dishes from a menu that offers 5 vegetable side dishes
and 3 starches if you want at least one vegetable and one starch?

Answers

The situation involves combination

There are 45 possibilities of choosing the 3 side dishes from the menu

How to determine the number of ways?

The given parameters are

Dishes to choose = 3Vegetable = 5Starch = 3

The keyword choose means that the situation involves combination.

Given that you want at least one vegetable and one starch, the selections are:

(Vegetable, Starch) = (1,2) and (2,1)

So, the number (n) of ways the dishes can be selected is:

n = 5C1 * 3C2 + 5C2 * 3C1

Apply the combination formula on each expression

n = 5 * 3 + 10 * 3

Evaluate the sum

n = 45

Hence, there are 45 possibilities of choosing the 3 side dishes from the menu

Answers

Answer:

Step-by-step explanation:

Given :-

TR = ZXSR = YX

To Prove :-

ΔRST ≅ ΔXYZ

Solving :-

TR = ZX (Given)SR = YX (Given)∠R = ∠X (Angle that lies between equal sides of respective parts of the triangle)ΔRST ≅ ΔXYZ (1,2,3, SAS congruence)

sole for r −13= r/9 +8

Answers

Answer:

-189

Step-by-step explanation:

Isolate the r/9 (so subtract the 8 and add it to the other side). Then multiply the 9 out and you should get -189

Work:

-13=r/9 +8

-21=r/9

-189=r

Answer:

-189

Step-by-step explanation:

Khan academy

One card is randomly selected from a deck of cards. Find the odds in favor of drawing a red card.

Answers

Answer:

The probability of selecting a red card is 3/26.

the distance across the united states from Florida to Washington is 2,802 Miles. this is the longest straight line distance across the united states. how far is it in yards? one mile = 1760 yards

Answers

Answer:4931520 yd

Step-by-step explanation:2,

802x1760=4931520yds

here, what do we do if it says y=-x or y=x

Answers

You plot the points on the graph first with a pencil. Draw the given line, in this case, it's y=-x.

From a point, you do rise and run to the line and reverse it on the other side of the line to get the points.

Refer the attached diagram, for easy method.

Hope it helps :)

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