4 years ago

Simplify 1/3 (9a+b)-1/2 (4a+2b)

Mathematics

1 answer:

Neporo4naja [7]4 years ago

6 0

Apply the distribute property twice to get 3a+1/3b-2a-b. Then simplify like terms to get a-2/3b.

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Find the area of the triangles round to the tenth. Show steps please!

amm1812

Answer:

$\large\boxed{A=89.6}$

Step-by-step explanation:

It's the right triangle. The formula of an area of a right triangle:

$A=\dfrac{leg\cdit leg}{2}$

We have:

$leg=x\\leg=16\\\text{and the angle}\ \alpha=55^o$

Use tangent:

$tangent=\dfrac{opposite}{adjacent}$

$opposite=16,\ adjacent=x$

$\tan55^o\approx1.4281$

Substitute:

$\dfrac{16}{x}=1.4281$ convert the decimal to the fraction

$\dfrac{16}{x}=\dfrac{14281}{10000}$ cross multiply

$14281x=160000$ divide both sides by 14281

$x=\dfrac{160000}{14281}$

$x\approx11.2$

Calculate the area:

$A=\dfrac{(16)(11.2)}{2}=89.6$

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Its the last one because 10 can go into 5 and 4 can go into 8 and 1 can go into 2 and so on

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3 years ago

The graph of f(x) = x2 has been shifted into the form f(x) = (x − h)2 + k: a parabola with a vertex of 4, negative 2 What is the

katrin [286]

Answer:

k = -2

Step-by-step explanation:

f(x) = (x − h)² + k

(h, k) is the (x, y) coordinate of the vertex

For a vertex of (4, -2)

h = 4

k = -2

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Answer:

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Step-by-step explanation:

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Determine whether the lines given are parallel, perpendicular, or neither

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Answer:

The answer is that these equations are perpendicular

Step-by-step explanation:

They have the different slopes and y-intercepts

y = -2/7x + 4

y = 7/2x - 2

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3 years ago