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3 years ago

Can you help me explain

Mathematics

2 answers:

love history [14]3 years ago

4 0

X=5

move all terms that don't contain x to the right side and solve .

Zepler [3.9K]3 years ago

3 0

Answer:

X=5

Step-by-step explanation:

9(5)-15=30

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$7(x + 2) + 12x(x + 2)$

$(2x - 4)(7 + 12x)$

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4 years ago

Determine if a triangle with side lengths 8, 14, and 15 is acute, right, or obtuse

asambeis [7]

Answer:

Acute

Step-by-step explanation:

The Converse of the Pythagorean Theorem states that:

If $a^2+b^2 > c^2$ then the triangle is acute.
If $a^2+b^2 < c^2$ then the triangle is obtuse.
If $a^2+b^2 = c^2$ then the triangle is right.

The side lengths 8, 14, and 15 are given. We can assume the hypotenuse (or c) is the longest side length, so it is 15.

c = 15

It doesn't matter which order of the numbers are plugged in for a and b, so a and b will be 8 and 14.

a = 8
b = 14

Now we have to add $a^2$ and $b^2$ to see if the sum is greater than, less than, or equal to 15 (c).

$a^2 + b^2$
$8^2 + 14^2$

Calculate the rest of the problem.

$8^2=64 \newline 14^2=196$

$64+196=260$

We have to find what $15^2$ is before we can make a decision using the Converse of the Pythagorean Theorem.

$15^2=225$

260 ( $a^2+b^2$ ) is greater than 225 ( $c^2$ ). This means that the triangle is acute because $a^2+b^2>c^2$ .

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3 years ago

The area of a rectangle a=1(w) is represented by the expression 24x6y15. If the width of the rectangle is 2x3y9, what is the l

natulia [17]

Answer:

Length of rectangle is: $Length=12x^3y^6$

Step-by-step explanation:

The area of rectangle = $24x^6y^{15}$

Width of rectangle = $2x^3y^9$

We need to find length of rectangle

The formula used is: $Area=Length\times Width$

Putting values and finding length

$Area=Length\times Width\\24x^6y^{15}=Length\times 2x^3y^9\\Length=\frac{24x^6y^{15}}{2x^3y^9} \\Length=12x^{6-3}y^{15-9}\\Length=12x^3y^6$

So, Length of rectangle is: $Length=12x^3y^6$

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3 years ago

Marina spent 1/5 of her money on a book. If she had $80 left after she brought the book, how much money did she have originally?

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Answer:

Marina had 50$ originally

Step-by-step explanation:

80-1/5 of the money she spent for the books that she brought, The step by step process is how much money she had left behind from the books she brought seperate

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Step-by-step explanation:

THE DIVISION of the hour into 60 minutes and of the minute into 60 seconds comes from the Babylonians who used a sexagesimal (counting in 60s) system for mathematics and astronomy. They derived their number system from the Sumerians who were using it as early as 3500 BC.

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3 years ago

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