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Lina20 [59]
3 years ago
15

Write the equation for the area of a triangle with a height that is 5 more than twice its base using one variable. Please help m

ee this is my last question
Mathematics
1 answer:
zysi [14]3 years ago
7 0

Answer:

A=b(b+\frac{5}{2} )

Step-by-step explanation:

hey there!!!

we know already that the area of a triangle is given as

A=\frac{1}{2}b *h

where b= base

and h= heigth

Given that the height is 5 times more than twice it base

let h= 2b+5

Now we substitute h=2b+5 in the area of the triangle

A=\frac{1}{2}b * (2b+5)

A= \frac{2b^2}{2} +\frac{5b}{2}

A= b^2+\frac{5b}{2}\\\\A=b(b+\frac{5}{2} )

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shutvik [7]

Answer:

The\ slope\ of\ the\ line\ AB\ is \frac{1}{7} .

Step-by-step explanation:

Formula for slope

m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}

As the Line AB contains points A (8, −4) and B (1, −5).

Put points value in the above

m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}

m = \frac{- 5- (-4)}{1 - 8}

m = \frac{- 5 + 4}{1 - 8}

m = \frac{- 1}{-7}

m = \frac{1}{7}

Therefore\ the\ slope\ of\ the\ line\ AB\ is \frac{1}{7} .

7 0
3 years ago
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How to determine whether to move right or left on the number line when adding rational numbers?
Vedmedyk [2.9K]
So if you're adding two negatives you move left, positive you move right, and when you have to determine a negative, and a positive you just have to see which one is the farthest from zero which the farthest one's sign is either positive, or negative. Positive to move right, and negative to move left.

7 0
3 years ago
Select the correct answer from each drop-down menu.
Ahat [919]

Answer:

Cos θ  = -4/5

Tan θ = -3/4

Step-by-step explanation:

The question is as following:

Select the correct answer from each drop-down menu.

Angle θ lies in the second quadrant, and sin θ =3/5.

cos θ = -4/5, -3/5, 3/5, 4/5

tan θ = -4/3, -3/4, 3/4, 4/3

==================================================

Since, the angle lies in second quadrant (negative x axis and positive y axis) we can deduce that cos θ is negative and tan θ is also negative.

If sin θ =3/5

cos \  \theta =\sqrt{1-sin^2 \theta} = \sqrt{1-(\frac{3}{5} )^2} =\sqrt{1-\frac{9}{25} }=\sqrt{\frac{16}{25} } =\frac{4}{5}

∴ Cos θ = -4/5 ⇒ because θ lies in the second quadrant.

And

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3 0
3 years ago
18x = ~36?
FromTheMoon [43]

Answer:

from the picture the answer is D.

Step-by-step explanation:

2 \ti4mes \f7rac{?}{?}

to find x subtract 18x from 4x which will give you -14x=-36

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4 0
2 years ago
Choose the table that represents g(x) = −2⋅f(x) when f(x) = x + 4
fomenos

Answer:

  x g(x)

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Step-by-step explanation:

Substitute the values and do the arithmetic.

Table values for x are 1, 2, 3. We only need to find g(1) to determine which table is the correct choice.

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6 0
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