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
MrRissso [65]
3 years ago
11

The height of a triangle is 5 m less than its base. The area of the triangle is 42 m².

Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
4 0
A = (1/2) b * h
h = b - 5
42 = (1/2) * b * (b - 5)
42 = (1/2) * b^2 - 5b
multiply both sides by 2 to clear the fraction (1/2)
2(42) = 2(1/2) *b^2 - 5b
84 = b^2 -5b
Since this is a quadratic equation, subtract 84 from both sides so that it is set = to zero.
b^2 - 5b - 84 = 0
Now factor.
(b - 12)(b + 5) = 0
b - 12 = 0; b = 12
b + 5 = 0; b = -5
You can't have a negative length so the answer is 12m
To check the answer:
A = (1/2) * 12* 7
A = 42 m^2
You might be interested in
2. Write the expressions using an exponent. Then solve.
Maurinko [17]
B. Five cubed because there at 5 2s there and 2*2*2*2*2 would be the same thing as saying 5^2
7 0
3 years ago
Read 2 more answers
2x+16=7+2x <br>how do you solve if the variable is the same on both sides of the equation
jeka94
First subtract the 7 from both sides and that would equal 2x+9=2x then subtract 2x and the answer is 9
7 0
3 years ago
Read 2 more answers
Please answer this correctly
Dahasolnce [82]

Answer:

9 5/7

Step-by-step explanation:

You add all the 13/14 then divided it by 14

Then add all the while numbers then add then add them all together

8 0
3 years ago
1. (15 + 70 – 5^2) ) divide (36 – 6)<br><br> 2. (11 + 22 – 3) divide 3 - 32
Julli [10]

1) 15 + 70 - 25/36-6

  85 - 25/30

= 60/30

=2

2) 11 + 22 - 3/3-32

=30/-29

=- 30/29

8 0
3 years ago
Read 2 more answers
The differential equation y′′=0 has one of the following two parameter families as its general solution: yyyy=C1ex+C2e−x=C1cos(x
svet-max [94.6K]

Answer:

y_c = 2 + 10*x

Step-by-step explanation:

Given:

                                                y'' = 0

Find:

- The solution to ODE such that y(0) = 2, y'(0) = 10

Solution:

- Assuming a solution y = Ce^(mt)

So,                                y' = C*me^(mt)

                                    y'' = C*m^2e^(mt)

- Back substitute into given ODE, we get:

                                    y'' = C*m^2e^(mt) = 0

                                    e^(mt) can not be equal to zero

- Hence,                       m^2 = 0

                                     m = 0 , 0 - (repeated roots)

- The complimentary function for repeated roots is:

                                    y_c = (C1 + C2*x)*e^(m*t)

                                    y_c = C1 + C2*x  

- Evaluate @ y(0) = 2

                                    2 = C1 + C2*0

                                    C1 = 2

-Evaluate @ y'(0) = 10

                                    y'(t) = C2 = 10

Hence,                         y_c = 2 + 10*x

5 0
3 years ago
Other questions:
  • What is the answer to the picture below
    6·1 answer
  • Find the slope of the line that contains these points (-2,5) (-4,11)
    5·2 answers
  • Which fractions are equivalent to -4/9  ?
    6·1 answer
  • a nonlinear system of inequalities consists of two or more inequalities. ____ of these is/are nonlinear
    10·2 answers
  • A $525 speaker now sells for $393.75. Find the percent of change.
    9·1 answer
  • A college raises its tuition in each of three consecutive years. If the percent increase by 5%, 9%, and 7%, determine the overal
    9·1 answer
  • Determine the equation of the line that passes through the given points. (If you have a graphing calculator, you can use the tab
    11·2 answers
  • Does anyone need help with any subject I will help you
    12·2 answers
  • Help. im non-intelligent for ths
    11·2 answers
  • What fractions can be represented by a termanating decimal?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!