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Crank
3 years ago
12

Help ASAP!!!!!!!plz!!!!

Mathematics
1 answer:
ivanzaharov [21]3 years ago
4 0
(B) first calculate the are of the whole rectangle
Then calculate the area of the two triangles . On top right the height will be 5 ft and the base will be 4 ft
And on the bottom left the height will be 4ft and the base will be 10ft
After calculating the area of two triangles and one rectangle
You need to subtract the are of triangles from the area of the rectangle

And what ever comes will be your answer .

I hope you understood the procedure .

Thanks
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Factors of 9 simple question ​
dolphi86 [110]

the factors are 1, 3, 9 i hope it helps :)

Step-by-step explanation:

bc i saidsoooo:)

6 0
2 years ago
Show work please<br> \sqrt(x+12)-\sqrt(2x+1)=1
Nesterboy [21]

Answer:

x=4

Step-by-step explanation:

Given \displaystyle\\\sqrt{x+12}-\sqrt{2x+1}=1, start by squaring both sides to work towards isolating x:

\displaystyle\\\left(\sqrt{x+12}-\sqrt{2x+1}\right)^2=\left(1\right)^2

Recall (a-b)^2=a^2-2ab+b^2 and \sqrt{a}\cdot \sqrt{b}=\sqrt{a\cdot b}:

\displaystyle\\\left(\sqrt{x+12}-\sqrt{2x+1}\right)^2=\left(1\right)^2\\\implies x+12-2\sqrt{(x+12)(2x+1)}+2x+1=1

Isolate the radical:

\displaystyle\\x+12-2\sqrt{(x+12)(2x+1)}+2x+1=1\\\implies -2\sqrt{(x+12)(2x+1)}=-3x-12\\\implies \sqrt{(x+12)(2x+1)}=\frac{-3x-12}{-2}

Square both sides:

\displaystyle\\(x+12)(2x+1)=\left(\frac{-3x-12}{-2}\right)^2

Expand using FOIL and (a+b)^2=a^2+2ab+b^2:

\displaystyle\\2x^2+25x+12=\frac{9}{4}x^2+18x+36

Move everything to one side to get a quadratic:

\displaystyle-\frac{1}{4}x^2+7x-24=0

Solving using the quadratic formula:

A quadratic in ax^2+bx+c has real solutions \displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}. In \displaystyle-\frac{1}{4}x^2+7x-24, assign values:

\displaystyle \\a=-\frac{1}{4}\\b=7\\c=-24

Solving yields:

\displaystyle\\x=\frac{-7\pm \sqrt{7^2-4\left(-\frac{1}{4}\right)\left(-24\right)}}{2\left(-\frac{1}{4}\right)}\\\\x=\frac{-7\pm \sqrt{25}}{-\frac{1}{2}}\\\\\begin{cases}x=\frac{-7+5}{-0.5}=\frac{-2}{-0.5}=\boxed{4}\\x=\frac{-7-5}{-0.5}=\frac{-12}{-0.5}=24 \:(\text{Extraneous})\end{cases}

Only x=4 works when plugged in the original equation. Therefore, x=24 is extraneous and the only solution is \boxed{x=4}

4 0
2 years ago
vOfficials at a major university wanted to know what percent of their students recycle paper. They conducted a random survey and
Svetllana [295]

Answer:

The probability is 0.95

Step-by-step explanation:

In this question, we are interested in calculating the probability that a randomly selected student of the university recycles at least some of the times

Mathematically, the probability that student recycles at least some of time = 1 - probability that the student never recycles all the time

From the question, the probability that the student never recycles all the time = 0.05

Substituting this into the equation given above;

Probability that a randomly selected student at the university recycles at least some of the time = 1-0.05 = 0.95

6 0
3 years ago
Use the x-intercept method to find all real solutions of the equation. -9x^3-72x^2+36=3x^3+x^2-3x+8
larisa86 [58]

-9x^3-72x^2+36=3x^3+x^2-3x+8                     Add 9x^3 to both sides.

-72x^2 + 36 = 3x^3 + 9x^3 + x^2 - 3x + 8       Add 72x^2 to both sides

36 = 12x^3 +   73x^2 - 3x + 8                           Subtract 36 from both sides.

0 = 12x^3 + 73x^2 - 3x - 28      

It does factor, but it is not very nice.

(x + 6.06)(x - 6.09)(x + 0.632)

If there is any kind of error please report it in a note below.

6 0
3 years ago
X=-2y+16<br> 4x+8y=32<br> substitutional equation
Dahasolnce [82]
4(-2y + 16) + 8y = 32
-8y + 64 + 8y = 32
64 = 32
Answer: no solution
5 0
2 years ago
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