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
Dafna1 [17]
2 years ago
14

The height of a triangle is 3cm less than twice the base. The area is 10cm2

Mathematics
1 answer:
Kamila [148]2 years ago
3 0

Answer:

The base is 4cm and the height is 5cm.

Step-by-step explanation:

This is a solve the system question. Call H the height of the triangle and B the base. The question tells us:

H=2B-3

and

\frac{B \times H}{2}=10

Sub the first equation into the second (as H is already isolated). You will end up with a quadratic equation - solve that any way you wish (e.g. quadratic formula). I've provided the factored form below which shows you the roots:

\frac{B(2B-3)}{2}=10\\\frac{2B^2-3B}{2}=10\\2B^2-3B=20\\2B^2-3B-20=0\\(2B+5)(B-4)=0\\B= - \frac{5}{2},4

In this question, we take B=4. You can't have a negative side length so the other answer is eliminated. Now sub the value for B into either of the original equations. I'll use the first, again because H is already isolated:

H=2(4)-3\\H=8-3\\H=5

You might be interested in
notah decides to buy a new phone.He pays $ up front and then will pay the same amount each month for 8 months.The total cost of
Rashid [163]

Answer:

75 dollars a month

Step-by-step explanation:

To find The amount we need to divide 600 by 8 which gives us 75

8 0
2 years ago
Read 2 more answers
Which expression is equivalent to 27 + 45?
PilotLPTM [1.2K]
9(3+5)

if you go through each answer choice you will notice that none of the rest are right 

8(3+6) = 24 +48
8(19 +37) = 152 + 296
9(18 +36)= 162 +324
6 0
3 years ago
Read 2 more answers
Subtract 766 from 941
Bess [88]
Your answer is 175.


Hope this helps!
7 0
3 years ago
Read 2 more answers
write an equation in slope intercept form for a line that passed through the two points below (-4, -5) (4,1)
topjm [15]
Y= 3/4x - 2
Hope this helps!!!!!
3 0
3 years ago
Is the point (4,2) the solution to the system? Why or why not? Explain your reasoning.
VMariaS [17]
Solve the top equation to get on variable on one side
2x-y=6
-y=-2x+6
y=2x-6
then plug in the coordinate for x and y for both equations. if both equations are true then it’s a solution
2=2(2)+6
2=10

4+2=6

so it’s not a solution
4 0
2 years ago
Other questions:
  • Wilma used 25 square cm. of construction paper to make a card in the shape of a square. She put a lace border around the card. H
    11·1 answer
  • Which employee's path is the critical path on this activity graph? Explain how you know that this employee's path is the critica
    13·1 answer
  • What is x•c-1.8+32=•F
    15·1 answer
  • Cole's rectangular garden has
    5·1 answer
  • The graphs shown are of the form y = ax2. Which graph has the smallest value for a?
    13·1 answer
  • Which equations represent the line that is perpendicular to the line 5x - 2y = -6 and passes through the point
    15·1 answer
  • The sum of two numbers is -3 and the difference of the two numbers is 11?
    10·1 answer
  • Solve the system of equations. <br><br> -5x+2y=9 <br><br> y=7x
    15·2 answers
  • Helpppppppppppppppppppppppppppppp
    15·1 answer
  • Can you please please help me.
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!