1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
MakcuM [25]
4 years ago
7

The height of a triangle is 7 ft more than its base. if the area of the triangle is 30 ft^ what is the lentgh of the base

Mathematics
1 answer:
Dmitriy789 [7]4 years ago
6 0
Since the area of a triangle is in the form
area=0.5(base)(height)
height=base+7
let base=x
area=0.5(x)(7+x)
30=3.5x+0.5x^2
multiply the equation by 2
60=7x+x^2
subtract 60 from both sides
x^2+7x-60=0
(x-5)(x+12)=0
thus  x=5 or x=-12 since we are only considering positive answers
x=-12 is rejected
so base=5 and height=5+7=12
You might be interested in
Express the sum of the polymonial 3x^2+15x-56 and the square of the binomial (x-8) as a polynomial in standard form.
tester [92]

Given:

Polynomial is 3x^2+15x-56.

To find:

The sum of given polynomial and the square of the binomial (x-8) as a polynomial in standard form.

Solution:

The sum of given polynomial and the square of the binomial (x-8) is

3x^2+15x-56+(x-8)^2

=3x^2+15x-56+x^2-2(x)(8)+8^2    [\because (a-b)^2=a^2-2ab+b^2]

=3x^2+15x-56+x^2-16x+64

On combining like terms, we get

=(3x^2+x^2)+(15x-16x)+(-56+64)

=4x^2-x+8

Therefore, the sum of given polynomial and the square of the binomial (x-8) as a polynomial in standard form is 4x^2-x+8.

7 0
3 years ago
If you are selling bag of candy would you want ti sell the candy in ounces or pounds? Explain.
7nadin3 [17]
You would want to sell the bag of candy in ounces, unless you have way too much candy.
8 0
3 years ago
Read 2 more answers
The midpoint of AB is M (-3,-3) if the coordinates of A are (-8,-2)what are the coordinates of B
bearhunter [10]

The coordinates of B would be (2, -4)

In order to find this, we need to know that the value of M's points will always be the average of A and B's points. This is because it is the midpoint. Therefore we can use the following formula.

Value of x

(A + B)/2 = M

(-8 + B)/2 = -3

-8 + B = -6

B = 2

Then we can do the same for the y values

Value of y

(A + B)/2 = M

(-2 + B)/2 = -3

-2 + B = -6

B = 4

7 0
3 years ago
(c) Use a calculator to verify that Σ(x) = 64, Σ(x2) = 1118, Σ(y) = 628, Σ(y2) = 87,982, and Σ(x y) = 9,627.
amid [387]

The correlation based on the computation is 0.97.

<h3>How to compute the value?</h3>

It should be noted that the question is that we should simply calculate the correlation which is r.

The correlation will be:

= Σ(x y) / (Σ(x²) × Σ(y²)

= 9627/✓(1118 × 87982)

= 9627 ✓98363876

= 9627/9917.86

= 0.97

Learn more about computations on:

brainly.com/question/4658834

#SPJ1

7 0
2 years ago
Han and Tyler both started walking toward each other from opposite ends of a 18-mile path. Han walks at a pace of 4 miles per ho
Allisa [31]
First, you can add up 4+2 to get 6 because they’re both rates.

Next, divide 18 by 6 and you get 3.

So, it will take three hours for the boys to meet up.

One way to check your answer is to multiply 4x3=12 and 2x3=6 and 12+6 is 18.
6 0
2 years ago
Other questions:
  • You buy a basket of 24 strawberries. You eat them as you walk to the beach. It takes the same amount of time to walk each block.
    13·2 answers
  • What's The scientific notation for 42,000
    12·2 answers
  • A population of insects grows exponentially. Initially, there were 20 insects and the population of the insects grew by 50% ever
    10·2 answers
  • Please help needed immediately
    9·1 answer
  • If after 5 minutes the tank has drained by 4.5 gallons, what is the rate in gallons per minute that the tank is draining?
    8·1 answer
  • PLEASE HELP I PUT THE PROBLEM AS A PICTURE PLEASE ANSWER WILL GIVE 30 POINTS SHOW WORK
    9·1 answer
  • ZA and ZB are complementary angles. If mZA = (2x + 10)° and m
    12·1 answer
  • How did you compute sums of dollar amounts that were not whole numbers?
    6·1 answer
  • What is the y-value of the vertex of 4x^+ 8x - 8?
    6·1 answer
  • 1. Write this math statement as an algebraic expression:
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!