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kakasveta [241]
3 years ago
7

Simplify 4(x + 5) - 10x + 4/5

Mathematics
1 answer:
Bumek [7]3 years ago
4 0

Answer:

-6x+104/5

Step-by-step explanation:

Distribute: (4)(x)+(4)(5)+-10x+4/5 = 4x+20+ -10x + 4/5                                                  combine like terms: (4x+-10x) + (20+4/5)                                                                                                                                             simplify:                    -6x                  104/5                                                                     answer: -6x+104/5            

                               

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2a.
Since BC = 10m and M is the midpoint, we can find CM by : 10÷2 = 5m
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2b. Now, you have the base ( 5m) & hypotenuse (13m). Pythagoras' Theorem:

c {}^{2}  =  {a}^{2}  +  {b}^{2}
Where c is the hypotenuse, a & b are sides.

{13}^{2}  =  {5}^{2}  + b {}^{2}  \\  {5}^{2}  +  {b}^{2}  = 13 {}^{2}  \\  {b}^{2}  = 13 {}^{2}  -  {5}^{2}  \\ b =  \sqrt{144}  \\ b = 12
b here refers to the height.

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Area of a right-angled triangle =
\frac{base \times height}{2}
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\frac{10 \times 12}{2} \\  = 60 {m}^{2}
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