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
hoa [83]
3 years ago
6

What is the rectangle's height and base?

Mathematics
2 answers:
HACTEHA [7]3 years ago
6 0

Answer:

Base = 16cm

Height = 7cm

riadik2000 [5.3K]3 years ago
3 0

Answer:

base = 16 cm

height = 7 cm

Step-by-step explanation:

area of a rectangle = base (b) x height (h)

base (b) = 9 + h

area = 112 cm²

plug in values:

112 = (9 + h) * h

112 = 9h + h²

h² + 9h - 112 = 0

<u>h can be solved using quadratic equation</u>

       -9 ± √ (9² - 4 (1) (-112))

h = --------------------------------------

                        2

     -9 ± √529

h = ----------------

            2

h = 7  ;    h = -16

therefore  the height of  a rectangle (h) = 7 cm

<u>solve for base (b)</u>

base (b) = 9 + h

base (b) = 9 + 7

base (b) = 16 cm

proof:

area of a rectangle = base (b) x height (h)

112 = 16 * 7

112 = 112 ---- ok

You might be interested in
Debbie is running to raise money for a fundraiser. If her goal is to run 56 miles , how many days will debbie need to run if she
Nina [5.8K]

Answer:

32 days.

Step-by-step explanation:

56 / 1.75 = 56 / (7/4) = 56 * 4 / 7 = 32.

3 0
4 years ago
What is a system of equation?
Vikentia [17]
SYSTEMS OF EQUATIONS. A system of equations is a collection of two or more equations with a same set of unknowns. In solving a system of equations, we try to find values for each of the unknowns that will satisfy every equation in the system.
7 0
3 years ago
Read 2 more answers
F(x) = 2x^2 - 5x - 15<br> g(x) = -2x - 1<br> find f(g(x)) ... somebody help me :(
Lapatulllka [165]

Answer:

f(g(x)) = 8x² + 18x - 8

Step-by-step explanation:

Substitute x = g(x) into f(x) , that is

f(g(x))

= f(- 2x - 1)

= 2(- 2x - 1)² - 5(- 2x - 1) - 15

= 2(4x² + 4x + 1) + 10x + 5 - 15

= 8x² + 8x + 2 + 10x - 10

= 8x² + 18x - 8

4 0
3 years ago
A business has a netloss of $419.18 Does that mean the breakeven is 419.18??
slamgirl [31]
It means that everything the business took in was $419.18 less than everything it spent to be in business during the same period of time. It doesn't tell you what either of those amounts was. Just the difference between them.
4 0
3 years ago
Read 2 more answers
Find sin(b) in the triangle
lara31 [8.8K]

Answer:

We need the triangle, please

Explanation:

Can't find anything about a triangle without the triangle

5 0
3 years ago
Read 2 more answers
Other questions:
  • What is the difference between slope and grade?
    12·1 answer
  • What is 3over 4 plus 5 over 10
    10·1 answer
  • Tell if the slope is positive, negative, zero, or no slope.
    6·2 answers
  • From the when rain clouds gather noveldescribe the kind of suffering makhaya endures in south Africa?describe the kind of suffer
    9·1 answer
  • Guy decides to get in shape by running. The first day, he runs 1 mile in 12 minutes. Two months later he has decreased
    11·1 answer
  • What amount of a 70% acid solution must be mixed with a 50% solution to produce 200 mL of a 60% solution?
    14·1 answer
  • If 6t-3=-177 what is the value of the variable
    13·2 answers
  • PLATO!! Please help!
    7·1 answer
  • 1) Which variable has a coefficient of 1?<br> x - 4y = 16<br> 3x + 4y = 20
    14·2 answers
  • Need help ASAP NO LINKS
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!