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
alexandr1967 [171]
3 years ago
6

The height of a triangle is 2 less than 5 times its base. If the base of the triangle is x feet, and the area of the triangle is

12 square feet, which equation models this situation?
A. 25x^2-10x-24=0

B. 5x^2-2x-24=0

C. 5x^2-2x-6=0

D. 5x^2-2x-12=0
Mathematics
1 answer:
Gnesinka [82]3 years ago
6 0

Answer:

A. 5x^2 − 2x − 24 = 0

Step-by-step explanation:

height = 5b-2

b =x

We can rewrite the height as

h = 5x-2

We know the formula for area of a triangle

A = 1/2 bh

A =1/2 x * (5x-2)

Distributing the x

A=    1/2 (5x^2 - 2x)

We know A =12

12 = 1/2 (5x^2 - 2x)

Multiply each side by 2

12*2 = 2*1/2 (5x^2 - 2x)

24 = 5x^2 - 2x

Subtract 24 from each side

24-24 = 5x^2 - 2x-24

0 = 5x^2 - 2x-24

You might be interested in
Volume
krek1111 [17]

Answer:

be brief can't see any picture

6 0
3 years ago
Read 2 more answers
F(x) = x² + 6x+8<br> What is the vertex
Dominik [7]

Answer:

(-3,-1)

Step-by-step explanation:

7 0
3 years ago
Based on the diagram, what is the length of AC? <br> A:6.2<br> B:12.4<br> C:17<br> D: 26
Katarina [22]
I believe it is D=26 Because angle F,E is equal so A,B B,C are also equal
4 0
2 years ago
Which three criteria do binomial experiments meet? there are only two trials. the trials are independent. there are only two out
alekssr [168]
The trials are independent; there are only 2 outcomes per trial; and the probability of success is the same for each trial.
8 0
3 years ago
Read 2 more answers
3х + 9 = 2х + 5<br><br> is it no solutions, all real numbers, or does x equal something?
zepelin [54]

Answer:

<h2><em><u>x</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>-</u></em><em><u>4</u></em></h2>

Step-by-step explanation:

<h3><u>Given</u><u> </u><u>Equation</u><u>:</u></h3>
  • 3x + 9 = 2x + 5

<h3><u>Question</u><u>:</u></h3>
  • Whether x has one solution or infinite solutions or no solutions?

<h3><u>Solution</u><u>:</u></h3>

=> 3x + 9 = 2x + 5

  • <em>(</em><em>On</em><em> </em><em>shifting</em><em> </em><em>like</em><em> </em><em>terms</em><em> </em><em>to</em><em> </em><em>one</em><em> </em><em>side</em><em> </em><em>we</em><em> </em><em>get</em><em>)</em>

=> 3x - 2x = 5 - 9

  • <em>(</em><em>On</em><em> </em><em>subtracting</em><em>)</em>

=> x = - 4

<h3><u>Result</u><u>:</u></h3>

<em><u>Hence</u></em><em><u>,</u></em><em><u> </u></em><em><u>x</u></em><em><u> </u></em><em><u>has</u></em><em><u> </u></em><em><u>only</u></em><em><u> </u></em><em><u>one</u></em><em><u> </u></em><em><u>solution</u></em><em><u> </u></em><em><u>that</u></em><em><u> </u></em><em><u>is</u></em><em><u>,</u></em><em><u> </u></em><em><u>x</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>-</u></em><em><u>4</u></em><em><u> </u></em><em><u>(</u></em><em><u>Ans</u></em><em><u>)</u></em>

7 0
3 years ago
Other questions:
  • Wat does 5 represent in 4c+5=27
    11·2 answers
  • Dominic picks oranges from 18 trees. He picks 11.4 pounds of oranges from each tree. How many total pounds does Dominic pick?
    12·2 answers
  • Combining like terms <br><br> simplify the expression <br> -6k + 7k
    6·2 answers
  • a tree casts a shadow 32 feet long .the Angle of elevation of the sun is 62° what is the height of the tree
    15·2 answers
  • How do you write 23.5 in word form
    6·2 answers
  • Let A = any rational number is the absolute value of a different if A is a positive number or negative number Explain
    5·1 answer
  • What is the multiple zero and multiplicity of f(x) = (x − 3)(x − 3)(x + 5)? a. Multiple zero is 5; multiplicity is 1 b. Multiple
    9·2 answers
  • Find all the real square roots of -49
    12·2 answers
  • Another i-ready question! Sorry i am clueless and need a 100% Please help!
    12·1 answer
  • Help pls<br> percentages
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!