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]
3 years ago
14

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

Mathematics
1 answer:
Kamila [148]3 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
Kite ABCD is reflected over the line y = x. What rule shows the input and output of the reflection, and what is the new coordina
Svetach [21]
The answer:

according to the image the coordinates of pre image are:

A(-7, 2), B(-5, 3) C(-2, 2) and D(-5, 1)

<span>Kite ABCD is reflected over the line y = x, the main rule to find the coordinates of the images is  (y, x)

for example if A(-7, 2) the image  A' is A'(2, -7)

the answer is </span><span>(x,y)→(y,x); A' is at (2, −7)</span>
4 0
3 years ago
Read 2 more answers
Expand.<br> Your answer should be a polynomial in standard form.<br> (7g+2)(5g+4)=
Ivahew [28]

Answer:

35g^2 +38g +8

Step-by-step explanation:

6 0
3 years ago
True or false:
kiruha [24]
Not really, If you use the Pythagorean theorem on all problems related to distance.. You won't always be able to solve it. It depends on the numbers.

So, false.
5 0
3 years ago
5x+4y = -14<br> 3x+6y=6<br> What is the answer
iren [92.7K]

Hallo! Her er svaret ditt på dette spørsmålet! ☺

Answer: If you are solving by Substitution, your answer will be...

Point form : (-6,4)

Equation form : x=-6 , y=4

Step-by-step explanation: Solve for the first variable in one of the euations, then substitute the result into the other equation.

Hope this helps you out! ☺

4 0
3 years ago
5z - 3 &gt;7 or 4z -6&lt; - 10
tiny-mole [99]

Answer:

4z -6< - 10= Z= < -1

5z - 3 >7= Z=< 2

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • A pedometer is a device that estimates the distance that a person walks by recording the number of steps taken. Chloe walked exa
    8·1 answer
  • 7 less than twice a number is 43
    6·1 answer
  • Did I set up the equation right? Please help me.​
    7·1 answer
  • Find the first term of the following geometric sequence _____, 42, 126, 378, 1,134, ...
    13·1 answer
  • On a map, the distance from Happy Hill Park to Rainbow Valley Park is 4/1/2 inches. The scale is 1/2 inch: 3 miles. What is the
    6·1 answer
  • (4,?) is in line y=2/7x-3. Find the other half of the coordinate
    14·1 answer
  • 5 3/5 as an inmpoer number
    9·1 answer
  • Look at the graph of a line and write its equation​
    9·1 answer
  • Helpp plsss asap:)))))
    12·1 answer
  • I don’t even know how to do this
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!