3 years ago

The height of a triangle is 4 inches greater than the base. The area of the triangle is 70 square inches.

Mathematics

1 answer:

Alexxandr [17]3 years ago

5 0

Answer: 10 inches.

Step-by-step explanation:

We have to solve a system of equations.

The formula to calculate a triangle area is A = (b.h)/2

where b is the base and h is the height. This will be our first equation.

Since the height is 4 inches greater than the base, the second equation will be: h = b+4

We replace h and the value of the area (70 square inches) in the first equation, and we solve it by using the cuadratic equation formula:

70 = (b . (b+4)) / 2

70 . 2 = b² + 4b

140 = b² +4b

0 = b² + 4b - 140

The roots of this polynomial are -14 and 10. Since a distance can't be negative, the length of the base is 10 inches.

You might be interested in

1 x) = 5x what is (a)? n 17 (1)=-52 ()

Sonbull [250]

Answer:

its 78

Step-by-step explanation:

7 0

2 years ago

2 2. Evaluate (a + y)+ 2y if a = 5 and y = -3. F 58 G -2 H 70 J 10

NARA [144]

<h3>Answer: G) -2</h3>

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

Explanation:

I'm assuming you meant to say (a+y)^2 + 2y

Replace each copy of 'a' with 5. Replace each copy of 'y' with -3. Use PEMDAS to simplify.

(a+y)^2 + 2y

(5 + (-3))^2 + 2(-3)

(5-3)^2 + 2(-3)

(2)^2 + 2(-3)

4 + 2(-3)

4 - 6

-2

So (a+y)^2 + 2y = -2 when a = 5 and y = -3.

3 0

2 years ago

Which number line represents the solution set for the inequality 3(8-4x)<6(x-5)

quester [9]

Answer:

x>3

Step-by-step explanation:

3 0

1 year ago

A plumber charges $50 to make a house call. He also charges $25 per hour for labor. If the bill from the plumber is $162.50.

blsea [12.9K]

4.5 hrs because 162.50-50 = 112.50
112.50/25= 4.5

3 0

2 years ago

3a^4(2b^6c^3)^2 Can someone help me simplify this?

Grace [21]

First you do 3a^4(2b^6c^3)^2
=12a^4b^12c^6

7 0

2 years ago