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
Daniel [21]
2 years ago
6

This is confusing me please helpppp

Mathematics
2 answers:
Alinara [238K]2 years ago
6 0

Answer:

base = 12 cm

Altitude = 16 cm

Step-by-step explanation:

<h2>Area of the triangle:</h2>

        \sf \boxed{Area \ of \ triangle = \dfrac{1}{2}*base*height}

base = x cm

altitude or height = (x + 4) cm

\sf \dfrac{1}{2}*x*(x+4) = 96\\\\

x * (x + 4) = 96*2

x*x + x*4 = 192

x² + 4x   = 192

x² + 4x - 192 = 0

Sum = 4

Product = -192

Factors =  (-12) , 16

When we add (-12) & 16, we get 4. When we multiply (-12) & 16, we get (-192).

Rewrite the middle term using the factors.

x² + 16x - 12x - 192 = 0

x(x + 16) -12(x + 16) = 0

(x + 16)(x - 12) = 0

x - 12 = 0     or x + 16 = 0

x = 12             or x = -16

Ignore x = -16 as measurements won't be in negative value.

x = 12

Base = 12 cm

Altitude = 12 + 4 = 16 cm

 

valentina_108 [34]2 years ago
3 0

Answer:

base = 12 cm , altitude = 16 cm

Step-by-step explanation:

the area (A) of a triangle is calculated as

A = \frac{1}{2} ba ( b is the base and a the altitude )

here a = b + 4 , then

\frac{1}{2} b(b + 4) = 96 ( multiply both sides by 2 to clear the fraction )

b(b + 4) = 192

b² + 4b = 192 ( subtract 192 from both sides )

b² + 4b - 192 = 0 ← in standard quadratic form

(b + 16)(b - 12) = 0 ← in factored form

equate each factor to zero and solve for b

b + 16 = 0 ⇒ b = - 16

b - 12 = 0 ⇒ b = 12

however, b > 0 then b = 12

so base = 12 cm and altitude = b + 4 = 12 + 4 = 16 cm

You might be interested in
Sun Lei bought a laptop computer for $1800.
vekshin1

Subtract to find the amount of tax paid:

1890 - 1800 = 90

Divide the amount of tax by the price of the computer:

90 / 1800 = 0.05

Multiply the decimal by 100:

0.05 x 100 = 5%

The tax rate is 5%

6 0
3 years ago
What’s (3b-5c)(2x+5y) squared
lukranit [14]
Answer: In your problem, you said that they are squared. However, it is not written as squared. We just have to multiply them.

We can use the FOIL method.

(3b - 5c)(3x + 5y)

6bx + 15by - 10cx - 25cy

There are no like terms, so that expression is our final answer.
8 0
3 years ago
brenda and her bestfriend went on a vacation together. They both paid for a flight, and brenda had a fancy room for $150 per nig
AURORKA [14]

Answer:

What is the question?

Step-by-step explanation:

1. Write all of the question to receive a correct answer.

7 0
3 years ago
If "-3(y-10=9" what is the value of y-12
zvonat [6]

Answer:

the correct answer is -5 since y=7

8 0
2 years ago
Read 2 more answers
suzie spent 3 1/2 hours at the beach. she spent 45 minutes playing in the sand and the rest of the time playing in the water. ho
Anika [276]

Answer:

2 hours and 45 min

Explanation:

3 hours+30 minutes

subtract 30

3 hours

subtract 15

2 hours and 45 min

6 0
2 years ago
Other questions:
  • A village parking lot is 120 feet wide by 180 feet long, and it has room for 75 cars. the village plans to increase the length b
    10·2 answers
  • 3x+6/x^2-x-6+2x/x^2+x-12
    13·1 answer
  • Annie wants to place the letter A on the number line at 3/4 does she place a in the right place
    11·1 answer
  • The student council needs to raise at least $950 to pay for their trip to Washington, DC. They have raised $589.55
    11·1 answer
  • 32ft/sec to meters/sec
    6·1 answer
  • The minimum level of inventory needed to meet customer demand is called the
    9·1 answer
  • The following is a list of 13 measurements.
    5·1 answer
  • The first five terms of a sequence are:
    13·2 answers
  • The volume of a cube is 441cm3.<br> Work out the length of its side rounded to 1 DP.
    9·1 answer
  • Please help! I will mark as brainliest IF answer is right. &lt;3
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!