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xxMikexx [17]
3 years ago
13

Simplify the expression. Use the variables, numbers, and symbols that are shown. Drag them to the appropriate box in the polynom

ial. Use standard polynomial format.
x(2x + 3) + (x - 3)(x - 4)
Mathematics
2 answers:
Naya [18.7K]3 years ago
7 0

Answer:

3x^{2}-4x+12

Step-by-step explanation:

In this case we have to simplify the expression by giving it in the standard polynomial format, first we have to see what is the polynomial standard format, this is:

ax^{2} +bx+c

In the case of the expression presented we have to make the multiplications and additions to then organize the expression:

x(2x+3)+(x+3)(x+4)

First the multiplications:

2x^{2} +3x+x^{2} -4x-3x+12

Now the additions and organization:

3x^{2}-4x+12

Now we have the expression in the polynomial format.

Mice21 [21]3 years ago
4 0
3x^2-4x+12! Hope this helps.
You might be interested in
What’s the answer to finding out what 5x+2y=70?
inna [77]

Answer:

x=<u>-2y+70</u>

       5

y=<u>-5x+70   </u>

        2

Step-by-step explanation:

5 0
2 years ago
.
Anuta_ua [19.1K]
Lets say you have 5 apples, but the you give away 3 of them.
To work how many you have left you take away.
5-3 = 2

Lets apply this with fractions now.
You have 9/7 yard, but then you give away 7/20 yard.
Now you take them away:
9/7 minus 7/20 = 131/140

Hope this helps :)
<span />
8 0
3 years ago
Calculate the perimeter and area of the triangle formed by the coordinates K (-4,-1) ,L(-2, 2), and M (3,-1).
Y_Kistochka [10]

Perimeter = 16.4 units

Using the heron's formula, Area ≈ 10.4 units².

<h3>What is the Heron's Formula?</h3>

The heron's formula is used to find the area of a triangle with known side lengths of all its three sides, a, b, and c. The heron's formula is given as: Area = √[s(s - a)(s - b)(s - c)], where s = half the perimeter of the triangle

s = (a + b + c)/2.

Given the following:

K (-4,-1) ,

L(-2, 2),

M (3,-1)

Use the distance formula, d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}, to find KL, LM, and KM.

KL = √[(−2−(−4))² + (2−(−1))²]

KL = √13 ≈ 3.6 units

LM = √[(−2−3)² + (2−(−1))²]

LM = √34 = 5.8 units

KM = √[(−4−3)² + (−1−(−1))²]

KM = √49 = 7 units

Perimeter = 3.6 + 5.8 + 7 = 16.4 units

Semi-perimeter (s) = 1/2(16.4) = 8.2 units

KL = a ≈ 3.6 units

LM = b = 5.8 units

KM = c = 7 units

s = 8.2

Plug in the values into √[s(s - a)(s - b)(s - c)]

Area = √[8.2(8.2 - 3.6)(8.2 - 5.8)(8.2 - 7)]

Area = √[8.2(4.6)(2.4)(1.2)]

Area = √108.6336

Area ≈ 10.4 units²

Learn more about heron's formula on:

brainly.com/question/10713495

#SPJ1

8 0
1 year ago
Find the area of the shaded region ​
o-na [289]

so hmmm let's get the area of the whole hexagon, and then get the area of the circle inside it, then <u>subtract the area of the circle from that of the hexagon's</u>, what's leftover is what we didn't subtract, namely the shaded part.

\textit{area of a regular polygon}\\\\ A=\cfrac{1}{4}ns^2\cot\stackrel{\stackrel{degrees}{\downarrow }}{\left( \frac{180}{n} \right)}~ \begin{cases} n=\textit{number of sides}\\ s=\textit{length of a side}\\[-0.5em] \hrulefill\\ n=\stackrel{hexagon}{6}\\ s=\frac{9}{2} \end{cases}\implies A=\cfrac{1}{4}(6)\left( \cfrac{9}{2} \right)^2 \cot\left( \cfrac{180}{6} \right)

A=\cfrac{1}{4}(6)\cfrac{9^2}{2^2} \cot(30^o)\implies A=\cfrac{243}{8}\cot(30^o)\implies A=\cfrac{243\sqrt{3}}{8} \\\\[-0.35em] ~\dotfill\\\\ \textit{area of circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=\frac{4}{5} \end{cases}\implies A=\pi \left( \cfrac{4}{5} \right)^2\implies A=\cfrac{16\pi }{25} \\\\[-0.35em] ~\dotfill

\stackrel{\textit{area of the hexagon}}{\cfrac{243\sqrt{3}}{8}}~~ - ~~\stackrel{\textit{area of the circle}}{\cfrac{16\pi }{25}}\implies \cfrac{6075\sqrt{3}-128\pi }{200}

5 0
2 years ago
Solve this inequality j/4 - 8 &lt; 4
zubka84 [21]
J/4 - 8 < 4
<u>    + 8   + 8  </u>   *add 8 to both sides to cancel -8.
j/4      < 12
<u>*4/1       *4/1   </u>   *multiply 4/1 to both sides to cancel 1/4
j         < 48

j should be less than 48 to make the inequality true.

example: j = 47
j/4       - 8 < 4
47/4   - 8 < 4
11.75 - 8 < 4
       3.75 < 4  

Any number below 48 will end up with an answer less than 4. if j is 48 and above, the inequality is false because the answer arrived at will be equal to or greater than 4.
5 0
2 years ago
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