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4 years ago

12. 4(2x - 8) = 3(2 – 3x) Need help to solve it in steps

Mathematics

1 answer:

Reil [10]4 years ago

4 0

8x - 32 = 6 - 9x
17x = 38
x = 38/17

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What is the length of HG?

Leviafan [203]

Answer:

$HG = 5$

Step-by-step explanation:

Given

$HE = 8mm$

$EF = 12mm$

$Area = 68mm^2$

Find the length of HG

First, it should be noted that the displayed figure is a trapezium

<em>The area of a trapezium is calculated by multiplying the sum of parallel sides by half its height;</em>

In this case;

$Area = \frac{HG + EF}{2} * HE$

Substitute the values of Area, HE and EF

$68 = \frac{HG + 12}{2} * 8$

$68 = (HG + 12) * 4$

Divide both sides by 4

$\frac{68}{4} = \frac{(HG + 12) * 4}{4}$

$17 = HG + 12$

Subtract 12 from both sides

$17 - 12 = HG + 12 - 12$

$5 = HG$

$HG = 5$

<em>Hence, the length of HG is 5mm</em>

6 0

3 years ago

Evaluate 1/x-2 for x=7

Lapatulllka [165]

0.2 because you have to subtract 7-2=5 then divided by 1 to the 5 equaling 0.2

3 0

4 years ago

If Triangle Q S R is congruent to triangle Y X Z describes two triangles, which other statement is also true?

Soloha48 [4]

Answer:

The second one because q goes with y r goes with z and s goes with x

Step-by-step explanation:

5 0

3 years ago

The sum of the first 150 negative integers is represented using the expression

Leona [35]

Answer:

$\large\boxed{-11,325}$

Step-by-step explanation:

First simplify:

$-1-(n-1)=-1-n-(-1)=-1-n+1=-n$

Therefore we have:

$\sum\limits_{n=1}^{150}[-1-(n-1)]=\sum\limits_{n=1}^{150}(-n)=(-1)+(-2)+(-3)+...+(-150)\\\\-1,\ -2,\ -3,\ -4,\ ...,\ -150-\text{it's the arithmetic sequence}\\\text{with the common difference d = -1.}\\\\\text{The formula of a sum of terms of an arithmetic sequence:}\\\\S_n=\dfrac{a_1+a_n}{2}\cdot n\\\\\text{Substitute}\ n=150,\ a_1=-1,\ a_n=-150:\\\\S_{150}=\dfrac{-1+(-150)}{2}\cdot150=(-151)(75)=-11,325$