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3 years ago

Simplify the expression. 8x + 7 – 3x

Mathematics

2 answers:

marshall27 [118]3 years ago

8 0

8x + 7 -3x=
15x - 3x=
12x

DIA [1.3K]3 years ago

6 0

5x+7
Hope this helps :)

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kari74 [83]

Answer:

Step-by-step explanation:

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3 years ago

Triangle FGH is similar to triangle DEF. solve for p

malfutka [58]

Answer:

We get value p=16

Step-by-step explanation:

When triangles are similar, the ratio of corresponding sides is equal.

In the given triangles we have to find value of p

We have the ratio: (Can use ratio of any two sides)

$\frac{HF}{PD} =\frac{GF}{ED}$

Now, putting values and finding p

$\frac{12}{p}=\frac{24}{32}\\Cross\:Multiply\\12\times 32 = 24 p\\p=\frac{384}{24}\\p= 16$

So, we get value p=16

8 0

3 years ago

Solve the equation without the use of a calculator. please Help!!! Thank you!!!<br> 12x^3-30x=5-2x^2

nata0808 [166]

So, since we have a cubic equation with 4 terms, the first thing we should try is factoring by grouping, so:

$12x^3+2x^2-30x+5 =0 \implies \\ 2x^2(6x+1)-5(6x+1)=0 \implies \\ (2x^2-5)(6x+1) = 0$

Now that we've factored our equation, we can use ZPP and break it up:

$2x^2-5 = 0 \implies \\ 2x^2=5 \implies\\ x^2=\frac{5}{2} \implies\\ x=\pm\frac{\sqrt{5}}{\sqrt{2}}=\pm\frac{\sqrt{10}}{2} \\ \\ 6x+1 =0 \implies \\ 6x=-1 \implies\\ x=\frac{-1}{6}$

So, our solutions are:

$x\in \{\frac{\sqrt{10}}{2},-\frac{\sqrt{10}}{2},-\frac{1}{6}\}$

4 0

3 years ago

ΔABC has vertices A(2,4), B(6,0), AND C(-4,0).

arlik [135]

<span>ΔABC is not a right triangle.</span>

3 0

3 years ago

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Select the equation of the line that passes through the point (3, 5) and is

ohaa [14]

Answer:

Step-by-step explanation:

x = 4 it's a vertical line.

Perpendicular line to a vertical line is a horizontal line.

A horizontal line has equation y = a.

A horizontal line passes through the point (3, 5) → x = 3 and y = 5.

Therefore the equation is y = 5

3 0

3 years ago

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