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2 years ago

(2a+b) (a-b) + (2a-b) (a+b)

Mathematics

1 answer:

yanalaym [24]2 years ago

8 0

Answer: 4a^2-2b^2 (I think this is right)

Step-by-step explanation:

Using the order of operations I started by multiplying both of the sides separately. The left side of the equation becomes 2a^2-b^2-ab while the right becomes 2a^2-b^2+ab. Then I put the sides together to add them and after combining like terms it becomes 4a^2-2b^2.

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Write an equation of the line that passes through (7,10) and is perpendicular to the line y=1/2x-9

Ne4ueva [31]

Knowing it has to be perpendicular, the slope of the new line has to be -2.

y = -2x + b

Plug the coordinate pair into the equation.

10 = -2(7) + b

10 = -14 + b

24 = b

So the final equation for the line is...

y = -2x + 24

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3 years ago

tanya makes 5/8 of the foul shots she attempts during a basketball practice, if she took 48 shots, how many did she make?

zaharov [31]

calculate $\frac{5}{8}$ × 48 = 5 × 6 = 30

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4 years ago

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Let f(x)=x^2+3 and g(x)= x+2/x . Find(fog)(2).

Bingel [31]

$\bf \begin{cases} f(x)=&x^2+3\\\\ g(x)=&\cfrac{x+2}{x}\\\\ (f\circ g)(x)=&f(~~g(x)~~) \end{cases} \\\\[-0.35em] ~\dotfill\\\\ g(2)=\cfrac{(2)+2}{(2)}\implies g(2)=\cfrac{4}{2}\implies g(2)=\boxed{2} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{x=2}{f(~~g(2)~~)}=\left( \boxed{2} \right)^2+3\implies f(~~g(2)~~)=4+3\implies \stackrel{(f\circ g)(2)}{f(~~g(2)~~)}=7$

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3 years ago

Find the missing side length XI. round your answer to the nearest tenth.

lianna [129]

Answer: XI = 10.35 mm

Step-by-step explanation:

Considering the given triangle XIF, to determine XI, we would apply the sine rule. It is expressed as

a/SinA = b/SinB = c/SinC

Where a, b and c are the length of each side of the triangle and angle A, Angle B and angle C are the corresponding angles of the triangle. Likening it to the given triangle, the expression becomes

XI/SinF = XF/SinI = FI/SinX

The sum of the angles in a triangle is 180°. It means that

F + 63 + 52 = 180

F = 180 - (63 + 52)

F = 65°

Therefore

XI/Sin 65 = 9/Sin 52

Cross multiplying, it becomes

XISin52 = 9Sin65

0.788XI = 9 × 0.906

0.788XI = 8.154

XI = 8.154/0.788

XI = 10.35

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3 years ago

Riley is saving up to buy a new television. She needs a total of $968.58. Riley has saved $200.78 already and earns $76.78 per w

attashe74 [19]

968.58=200.78+76.78w
-200.78
767.8=76.78w
/76.78
=10w
Riley must save for 10 weeks

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4 years ago