The base of a triangle is four less than three times the height. The area of the triangle is 38 square centimeters. A=(b×h)2

Question

for the base of the triangle: Response area

Equation for the area of the triangle, substituting in for the base: Response area

The first step in solving for h: Response area

Answer 1

For the base of the triangle, let's call it "b", we are given that it is four less than three times the height, so we can write it as:

b = 3h - 4

Now, let's substitute the value of the base in the formula for the area of the triangle:

Area = (b * h) / 2

Area = ((3h - 4) * h) / 2

To solve for h, let's first distribute the multiplication:

Area = (3h^2 - 4h) / 2

Now, let's rearrange the equation to isolate h:

2 * Area = 3h^2 - 4h

Rearranging the equation further:

3h^2 - 4h - 2 * Area = 0

Now, we have a quadratic equation that we can solve using the quadratic formula:

h = (-b ± sqrt(b^2 - 4ac)) / (2a)

In this case:

a = 3, b = -4, c = -2 * Area

Solving for h using the quadratic formula will give us the two possible values for the height.

Answer 2

whats the resposes for the blank

Answer 3

For the equation for the area of the triangle, substituting in for the base, the response should be:

Area = ((3h - 4) * h) / 2

And for the first step in solving for h, the response should be:

2 * Area = 3h^2 - 4h - 2 * Area = 0

Answer 4

what about the first one?

Answer 5

Apologies for the oversight. For the first step in solving for h, the response should be:

b = 3h - 4

Answer 6

for the base of the triangle: Response area

Equation for the area of the triangle, substituting in for the base: Response area

The first step in solving for h: Response area

pls

Answer 7

I apologize for the confusion. Here are the correct responses:

For the base of the triangle: Let's call it "b".

Equation for the area of the triangle, substituting in for the base:

Area = (b * h) / 2

Substituting the value of the base into the equation:

Area = ((3h - 4) * h) / 2

The first step in solving for h:

To solve for h, we need to rearrange the equation:

2 * Area = (3h - 4) * h

I apologize for any confusion caused by the incorrect responses before.

Answer 8

i dont have that option for the first one

Answer 9

Apologies for the confusion. Here are the correct responses:

For the first blank, the correct response is:

For the base of the triangle: Let's call it "b".

For the equation for the area of the triangle, substituting in for the base, the correct response is:

Area = (b * h) / 2

And for the first step in solving for h, the correct response is:

b = 3h - 4