All categories

3 years ago

What is the area of a triangle with a base of 7x and height of 8x expressed as a monomial?

Mathematics

1 answer:

storchak [24]3 years ago

7 0

Answer:

A = 28x^2

Step-by-step explanation:

The area of a triangle is equal to

A = 1/2 b*h

The base is 7x and the height is 8x

A = 1/2 (7x)*(8x)

A = 1/2 (56x^2)

A = 28x^2

You might be interested in

Which of the following is a solution to the equation ¾x-12=-18?

ira [324]

miren pongan enpeño en matematica

7 0

2 years ago

Read 2 more answers

Solve for x in the image below

mestny [16]

$\dfrac{7}{8} - \dfrac{1}{x} = \dfrac{3}{4} \\\\ \dfrac{7x - 8}{8x} = \dfrac{6x}{8x} \\\\ 7x - 8 = 6x \\\\ x = 8$

Answer : x = 8

Hope this helps. - M

8 0

3 years ago

1/x + 1/a=1/b,then x=

motikmotik

$\dfrac{1}{x}+\dfrac{1}{a}=\dfrac{1}{b}\ \ \ |subtract\ \dfrac{1}{a}\ from\ both\ sides\\\\\dfrac{1}{x}=\dfrac{1}{b}-\dfrac{1}{a}\\\\\dfrac{1}{x}=\dfrac{a}{ab}-\dfrac{b}{ab}\\\\\dfrac{1}{x}=\dfrac{a-b}{ab}\Rightarrow\dfrac{x}{1}=\dfrac{ab}{a-b}\to\boxed{x=\dfrac{ab}{a-b}}$

4 0

3 years ago

Simplify the expression so there is only one positive power for each base.

katen-ka-za [31]

Answer:

Option (A)

Step-by-step explanation:

The given expression is,

$(5^{-2}\times 4^{-4})^{-2}$

Since $x^{-1}=\frac{1}{x}$ and $\frac{1}{x^{-1}}=x$

$5^{2}=\frac{1}{5^{-2}}$

$4^{2}=\frac{1}{4^{-2}}$

Therefore, $(5^{-2}\times 4^{-4})^{-2}=\frac{1}{(5^{-2}\times 4^{-4})^{2}}$

$=\frac{1}{(5^{-2})^2\times (4^{-4})^2}$

$=\frac{1}{5^{-4}\times 4^{-8}}$

$=\frac{1}{5^{-4}}\times \frac{1}{4^{-8}}$

$=5^{4}\times 4^{8}$

Option (A) will be the answer.

8 0

3 years ago

What is the exact volume of a cylinder 6in 9in

inna [77]

To find the exact volume of a cylinder, you must remember the rule - π r2 h

If 6 inches was the base (radius from the center of the cylinder to the edge) and 9 inches was the height, the equation would look like this -

π (6 squared in) (9 in)

Remember that the radius is squared so the equation would then look like

π (36 in) (9in)

Now you multiply 36 and 9 which would give you 324, then your equation would look like this

324 π

The final step is to multiply 324 by π which would be the volume of a cylinder.

8 0

4 years ago