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
Please help me with this question
almond37 [142]
C. None from the above
8 0
2 years ago
A triangle has one side length of 12 inches and another of 8 inches. Describe all possible lengths of the third side.
jasenka [17]

Answer:

The possible lengths of the third side is all real numbers greater than 4 inches and less than 20 inches

Step-by-step explanation:

we know that

<u>The Triangle Inequality Theorem</u>. states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side

Let

x -----> the possible lengths of the third side

Applying the Inequality Theorem

1) 12+8 > x

20 > x

Rewrite

x < 20 in

2) 8+x > 12

x> 12-8

x > 4 in

therefore

4 in < x < 20 in

The possible lengths of the third side is all real numbers greater than 4 inches and less than 20 inches

3 0
3 years ago
A line passes through the point (-4, -2) and has a slope of -5/2. Write an equation in slope- intercept form for this line.
kirill115 [55]

Answer:

<h2>           y = -⁵/₂x - 12 </h2>

Step-by-step explanation:

The point-slope form of the equation is y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope:

m = -⁵/₂

(-4, -2)    ⇒   x₀ = -4,  y₀ = -2

The point-slope form of the equation:

y + 2 = -⁵/₂(x + 4)

So:

y + 2 = -⁵/₂x - 10         {subtract 2 from both sides}

y = -⁵/₂x - 12             ←  the slope-intercept form of the equation

5 0
2 years ago
Need help this work is due soon
Ksju [112]

Answer:

can you explain this so I can help you with this

6 0
2 years ago
Read 2 more answers
Round to the nearest tens 312.432
ValentinkaMS [17]
310, since 4 is not up to 5, then 2 round off to 0
8 0
3 years ago
Read 2 more answers
Other questions:
  • The relationship between the base and rate a plumber charges and his hourly fee is modeled by the linear function f (x) = 25x +
    8·1 answer
  • 3 1/5÷ 9/10=? This is easy peasy limen squeeze
    9·2 answers
  • Consider that x = 5 and y = 7. Which statement is true about x + y? A) The sum of x and y is a rational number. B) The sum of x
    8·2 answers
  • Subtract. write your answer in simplest form
    9·2 answers
  • Pls help me I need help ASAP and PLS SHOW YOUR WORK because I don’t understand this
    5·1 answer
  • What is 86 + (-32) ?
    13·2 answers
  • Please help mee (don't send a link)
    8·2 answers
  • Estimate 212,514 + 28,542 What is it pls help
    15·1 answer
  • Nicole has $35.80 and spends $5.92 on a book. She puts half of the remaining money in her bank.
    11·2 answers
  • If the average rate of travel is 100 miles per day, about how long would it take to
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!