If a line has a slope of 4 and contains the point (-2,5), what is its equation in slope form?

The height of a trapezoid is 6 in. and it’s area is 72 in to the 2nd power. One base of the trapezoid is 6 inches longer than th

Vitek1552 [10]

Given:

The height of the given trapezoid = 6 in

The area of the trapezoid = 72 in²

Also given, one base of the trapezoid is 6 inches longer than the other base

To find the lengths of the bases.

Formula

The area of the trapezoid is

$A=\frac{1}{2} (b_{1} +b_{2} )h$

where, h be the height of the trapezoid

$b_{1}$ be the shorter base

$b_{2}$ be the longer base

As per the given problem,

$b_{2}=b_{1} +6$

Now,

Putting, A=72, $b_{2}=b_{1}+6$ and h=6 we get,

$\frac{1}{2} (b_{1} +b_{1}+6)(6) = 72$

or, $b_{1}+b_{1}+6 = \frac{(72)(2)}{6}$

or, $2b_{1}+6 = 24$

or, $2b_{1}=24-6$

or, $b_{1}= \frac{18}{2}$

or, $b_{1}=9$

So,

The shorter base is 9 in and the other base is = (6+9) = 15 in

Hence,

One base is 9 inches for one of the bases and 15 inches for the other base.

5 0

3 years ago

The equation 2x + 4k − 9 = kx − k + 1 is really a family of equations, because for each value of k, we get a different equation

Olegator [25]

You haven't shared "the given value of x," or, if you have, you haven't drawn attention to it.

Just suppose we were to choose x = 4 as a possible solution and then try to find a value of the parameter k that would make x = 4 an actual solution.

2(4) + 4k - 9 = (4)(4) - (4) + 1

Then 8 + 4k - 9 = 16 - 4 + 1, or 4k - 1 = 13. Then 4k = 14, and k = 14/4, or (after reduction) k = 7/2

If the parameter k equals 7/2, then x = 4 is a solution to the given equation.

To check this out further, start with the proposed solution x = 5 and find k.

3 0

3 years ago

NO LINKS!! Please help me with this Geometry part 15

avanturin [10]

The converse statement is; If I have two ears, then I am a bunny

The inverse statement is; "If I am not a bunny, then I don't have two ears."

The contrapositive statement is; If I don't have two ears, then I am not a bunny.

<h3>How to Interpret Conditional Statements?</h3>

A conditional statement is a statement that can be written in the form “If P then Q,” where P and Q are sentences

We are given the conditional statement;

If I am a bunny, then I have two ears

To form the converse of the conditional statement, we will interchange the hypothesis and the conclusion. The converse statement of "If it rains, then they cancel school" is expressed as "If they cancel school, then it rains."

Thus, the converse of our statement "If I am a bunny, then I have two ears." is;

If I have two ears, then I am a bunny

To form the inverse statement of the conditional statement, we will take the negation of both the hypothesis and the conclusion. The inverse of “If it rains, then they cancel school” is expressed as “If it does not rain, then they do not cancel school.”

Thus, the inverse of our statement "If I am a bunny, then I have two ears." is;

"If I am not a bunny, then I don't have two ears."

The contrapositive of our conditional statement is;

If I don't have two ears, then I am not a bunny.

Read more about Conditional Statements at; brainly.com/question/11073037

#SPJ1

4 0

1 year ago

Read 2 more answers

The set of

joja [24]

Answer:

B. Real numbers

Step-by-step explanation:

Real numbers are all numbers, rational and irrational, that could be found on a plane. This includes all positive and negative numbers, and all decimals. So, this only excludes imaginary numbers. The rest of the options exclude irrational numbers and more.

8 0

2 years ago

In a survey of 135 adults,85 were empolyed

scoundrel [369]

Out of 135 adults, 85 were employed

85/135 is your fraction form

85/135 = 0.629 (decimal form)

0.629 (move the decimal point to the right two place values) = 62.9% (percent form)

hope this helps

3 0

3 years ago