MATHEMATICS MIDDLE SCHOOL

Which of the following is a point slope equation of a line that passes through the points

Answers

Answer 1

Answer:

For this case we have that the slope of a line is given by:

$m = \frac {y2-y1} {x2-x1}$

If we have the points:

$(-1,4)\n(8, -2)\nm = \frac {-2-4} {8 - (- 1)}\nm = \frac {-6} {9}\nm = - \frac {2} {3}\n$

Thus, the equation is of the form:

$y-y_ {0} = - \frac {2} {3} (x-x_ {0})$

Substituting any of the points we have:

$y-4 = - \frac {2} {3} (x - (- 1))\ny-4 = - \frac {2} {3} (x + 1)$

Answer:

Option D

Answer 2

Answer:

Answer:

Choice D is the answer.

Step-by-step explanation:

We have given two points.

Let (x₁,y₁) = (-1,4) and (x₂,y₂) = (8,-2)

We have to find the point-slope form of the line that passes through the given points.

y-y₁ = m(x-x₁) is point-slope form of the line that passes through the points.

m is slope of line.

m = y₂-y₁ / x₂-x₁

Putting values in above formula , we have

m = -2-4 / 8-(-1)

m = -6 / 9

m = -2/3

Putting values of slope and using a point , we have

y-4 = -2/3(x-(-1))

y-4 = -2/3(x+1) is point-slope form of line that passes through the points (-1,4) and (8,-2).

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Lily buys a sweater that is on sale for $42, which is 75% of the original price of the sweater. What was the original price of the sweater?
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1. Chander and Tanisha have a backyard that is the shape of a trapazoid. The bases of the trapazoid are 20.1 m and 29.3m, and the height of the trapozoid is 17.9m. Find the area of the backyard to the nearest tenth.SOW WORK PLZZZZZ!!!!!

victoria took a test and got 80% of the questions right. She answered 20 questions correctly.How many questions were on the test

Answers

Total questions on the test were 25.

What is Percentage?

In mathematics, a percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%".

According to questions, victoria took a test and got 80% of the questions right. She answered 20 questions correctly.

Let the total questions on the test be $x$ .

We will get the following equation according to information:

$80$ % × $x=20$

⇒0.8 × $x=20$

⇒ $x=$ $(20)/(0.8)$

⇒ $x=25$

Hence, we can conclude that there are $25$ questions in the test.

Learn more about percentage here:brainly.com/question/13450942?referrer=searchResults

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Answer: the answer is 25

Step-by-step explanation: she has 25 questions on the test

Kelly is having a party. She wants to make punch. The recipe forunch uses 3 pints of pineapple juice,5 cups of orange juice, gallon ofade, and 1 quart of apricot nectar.Part AKelly says her recipe will make 20 cups of punch. Is Kelly correct?Explain your answer.

Answers

Answer:

Kelly is wrong and the recipe will make 19 cups of punch.

Step-by-step explanation:

We are given that,

The amount of ingredients in the recipe of punch after converting the units to 'cups' are given by,

Pineapple juice = 3 pints = 6 cups .......................(As 1 pint ≈ 2 cups)

Orange juice = 5 cups

Lemonade = $(1)/(4)$ gallon = 4 cups ...........................(As 1 gallon = 16 cups)

Apricot nectar = 1 quart = 4 cups .........................(As 1 quart = 4 cups)

Then, the total cups of punch = 6 + 5 + 4 + 4 = 19 cups.

Thus, Kelly is wrong and the recipe will make 19 cups of punch.

No she is not because a galloon equals 16 cups, a quart equals 4 cups, and a pint equals 2 cups. So altogether including the other 5 cups, it would be 27 cups.

In △ABC, m∠A=39 △ A B C , m ∠ A = 39 °, a=11 a = 11 , and b=13 b = 13 . Find c c to the nearest tenth.

Answers

Answer:

$c=17.5\ units$

Step-by-step explanation:

step 1

Find the measure of angle B

Applying the law of sines

$(a)/(sin(A))=(b)/(sin(B))$

substitute the given values

$(11)/(sin(39\°))=(13)/(sin(B))$

$sin(B)={sin(39\°)}(13)/(11)$

$B=arcsin[sin(39\°)(13)/(11)]$

$B=48.1\°$

step 2

Find the measure of angle C

Remember that the sum of the interior angles of a triangle must be equal to 180 degrees

$A+B+C=180\°$

substitute the given values

$39\°+48.1\°+C=180\°$

$87.1\°+C=180\°$

$C=180\°-87.1\°=92.9\°$

step 3

Find the length side of c

Applying the law of sines

$(a)/(sin(A))=(c)/(sin(C))$

substitute the given values

$(11)/(sin(39\°))=(c)/(sin(92.9\°))$

$c=(11)/(sin(39\°))sin(92.9\°)$

$c=17.5\ units$

Ruby ate 1/3 of a pizza, and Angie ate 1/5 of the pizza. How much of the pizza did they eat in all?

Answers

Find common denominators. Multiply 5 to numerator and denominator of 1/3, and 3 to the numerator and denominator of 1/5

(1/3)(5/5) = 5/15

(1/5)(3/3) = 3/15

Add

5/15 + 3/15 = 8/15

Ruby and Angie ate 8/15 of the pizza.

hope this helps

i think it is 8/15 of the pizza

What is 65% of 60??? PLZZZZZZZZZZ HELP thanks! :)

Answers

all we have to do is multiply them by each other accept we change the percent into a decimal.
65% = 0.65
soooo
0.65 x 65 = 42.25
answer? =42.25
i hope this was helps:)
and don't forget 2
MARK ME BRAINLIEST! :D

Hey, OhMyHawtLover25!

60*65=3900
3900/100=39
I hope this helps;)

6 more than the quotient of a and 14 is greater than 30

Answers

Answer:

a > 336

Step-by-step explanation:

Step 1: Subtract 6 from both sides. a/14 + 6 - 6 > 30 - 6

Step 2: Simplify. a/14 > 24

Step 3: Multiply both sides by 24. 14a/14 > 24•14

Step 4: SImplify. a > 336

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