What is the point slope form of the line passing through ( − 8 , 6 ) with a slope of 3 /2 ?

Answers

Answer 1
Answer:

Answer:

y-6=3/2(x+8)

Step-by-step explanation:

y-y1=m(x-x1)

y-6=3/2(x-(-8))

y-6=3/2(x+8)


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A warehouse has 518 flash drives on hand. The warehouse manager decides to keep 50 flash drives for high-priority orders and fill six equal-size orders with the rest of the flash drives. How many flash drives are in each order? A. 36 B. 78 C. 86 D. 94
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The shorter leg of a right triangle is 6 feet shorter than the longer leg. The hypotenuse is 6 feet longer than the longer leg. Find the side lengths of the triangle.

Answers

The length of longer leg is 24 feet, shorter leg is 18 feet and hypotenuse is 30 feet.

Step-by-step explanation:

Let,

Longer leg = a = x

Shorter leg = b = x - 6

Hypotenuse = c = x + 6

As the triangle is right angles, therefore, using pythagoras theorem;

a^2+b^2=c^2\n(x)^2+(x-6)^2=(x+6)^2\nx^2+(x^2-12x+36)=x^2+12x+36\nx^2+x^2-12x+36=x^2+12x+36\n 2x^2-12x+36=x^2+12x+36

Adding (-x² - 12x-36) on both sides

2x^2-12x+36-x^2-12x-36=x^2+12x+36-x^2-12x-36\nx^2-24x=0

Taking x common;

x(x-24)=0\n

Either,

x=0

or,

x-24 = 0     => x=24

As length cannot be 0 therefore,

Longer leg = x = 24 feet

Shorter leg = x-6 = 24-6 = 18 feet

Hypotenuse = x+6 = 24+6 = 30 feet.

The length of longer leg is 24 feet, shorter leg is 18 feet and hypotenuse is 30 feet.

Keywords: triangle, addition

Learn more about triangles at:

#LearnwithBrainly

Estimate to the nearest doallar , the total cost $23.45+$3.98+$16.66+$12.08 (answer with suggesting work please)

Answers

Answer:

$56.

Step-by-step explanation:

Given : $23.45+$3.98+$16.66+$12.08

To Find : Estimate to the nearest dollar , the total cost

Solution:

Total cost = $23.45+$3.98+$16.66+$12.08

Total cost = $56.17

So, The total cost = 56.17

Find the place value you want to round off and look to the digit just to the right of it.

If that digit is less than 5, do not change the "rounding digit"

If that digit is greater than or equal to 5, add one to the rounding digit and change all digits to the right of the rounding digit to zero.

So, Now  The total cost to nearest dollar is $56.

well all of that equals $56.17 and rounded to the nearest dollar will be...$56.00

a minivan can hold up to 7 people. How many minivans are needed to take 45 people to a basketball game?

Answers

Answer=7 minivans

45/7=6.4

since you can't have 0.4 minivans, we round up 6.4 to 7

I WILL GIVE BRAINLIEST
Solve the equation:
5x + 65 = 25
What is the value of x

Answers

Answer: -8

Step-by-step explanation:

Answer:

x = -8

Step-by-step explanation:

If you multiply -8 by 5 you get -40. Then if you add 65 to -40 you get 25.

Hope this helps.

a musician's hair was originally 3 inches long she asked the hairdresser to cut 5/6 of it off how many inches did she have cut off?

Answers

It would be half an inch long because there is 6 halves in 3 so 5/6 of it would be half an inch

E is the mid point of the median AD of a triangle ABC. show that ar(triangle ABE) = 1/4 ar(triangle ABC)

Answers

Explanation:

In triangle ABC

ABD=ACD-------------(1)

In triangle  abd,BE is the median

Abe = bed-------------(2)

Now,

ABD = BED

=2 (BED)-----------(3)

ABC=ABD + ACD

ABC = 2(ABD)----- using(1)

ABC =2 * 2(BED)---- using(3)

ABC = 4(BED)

So,

(BED) = 1/4(ABC)

Hope It's Helps!