The base of a triangle is 9cm less than the three times the height. The area is 15 cm2.

Find the height and base.

The height is 6 cm and the base is 5 cm.

Step-by-step explanation:

Given:

The base of a triangle is 9 cm less than the three times the height. The area is 15 cm².

Now, to find the height and the base of the triangle.

Let the height of the triangle be

And then base of the triangle =

The area of the triangle =

Now, we put formula to get the base and height of the triangle:

Multiplying both sides by 2 we get:

Dividing both sides by 3 we get:

Subtracting both sides by 10 we get:

Now, solving the quadratic equation:

Hence, the negative result is not to be taken so, we take the positive result.

Thus, the height  is 5 cm.

Now, substituting the value of to get the base:

Hence, the base is 6cm.

Therefore, the height is 6 cm and the base is 5 cm.

step-by-step explanation:

do you have a copy of the table?

let y equal to

the total fare and x is the mile of taxi ride. so the equation is

y = 0.55x + 1.75

since susie has

$10 to spend for a taxi cab, so he can have

10 = 0.55x +

1.75

x = 15 miles of

taxi ride

so the system of

inequality is

10 < 0.55x +

1.75

x > 2