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
Jet001 [13]
3 years ago
13

The base of a triangle is 3 cm longer than its altitude. The area of the triangle is 35cm^2. Find the altitude. (Hint: use the a

rea of a triangle. 1/2 * base * altitude.)
Mathematics
1 answer:
klemol [59]3 years ago
7 0
The base is 3+(x), altitude is x so substitute. Now we know the area of a triangle is base X height X 1/2. Substitute again! 1/2 (3+x)(x)=35. Multiply both sides by 2 to cancel out the 1/2. Now you have (x)(x+3)=70 and you have to foil out the left side x^2+3x=70. Subtract 70 on both sides x^2+3x-70=0. Find two numbers that multiply to -70 and add to 3. Solve (x+10)(x-7)=0. the x value is 7. since you can't have negative length values. Substitute 7 into 3+x for the base so you know the base is 10 and the height is 7.

You might be interested in
A bag contains 20 counters. 8 of the counters are yellow. A counter is picked at random. What is the probability that it is yell
kogti [31]
So there are 8 counters out of 20 which are yellow. so that is 8/20 which is simplified to 2/5
so the answer is 2/5
3 0
3 years ago
Read 2 more answers
Write the recursive rule and the iterative rule for the following sequence: 10, 6, 2, -2, -6
barxatty [35]
The recursive rule is
a_n=a_{n-1}+(-4). 
The iterative rule is
a_n=14-4n

The recursive rule is given by the formula 
a_n=a_{n-1}+d, where d is the common difference.  Our common difference is -4, which gives us the recursive rule above.

The iterative rule begins with the formula
a_n=a_1+d(n-1), where a₁ is the first term and d is the common difference.  Our first term is 10 and our common difference is -4:
a_n=10+(-4)(n-1)
\\\text{Using the Distributive Property,}
\\
\\a_n=10+(-4*n)+(-4*-1)
\\
\\a_n=10-4n+4
\\
\\\text{Combining like terms,}
\\
\\a_n=14-4n
7 0
3 years ago
What is the slope of the line?
zhannawk [14.2K]

Answer:

\frac{2}{3}

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
I need help with This question no links or I will report you
brilliants [131]

Answer:

Below.

Step-by-step explanation:

So let's do this Divide both sides.

equals to,

y+2>2

Cancel out equal terms.

y>0.

5 0
2 years ago
The volume of a rectangular solid is given by the equation V = l ⋅ w ⋅ h . Find the volume of a box whose dimensions are l = 3 n
scoundrel [369]

3*2*6 is 36 yards cubed or 36 yards to the power of 3.

7 0
3 years ago
Other questions:
  • A solid oblique pyramid has a square base with an edge length of 2 cm. Angle BAC measures 45°.
    7·2 answers
  • Jason places a mirror on the ground 40 feet from the base of a tree. He walks backwards until he can see the top of the tree in
    7·2 answers
  • HELP PLEASE<br> DJEJJDJDBFHERHDHKJE
    11·1 answer
  • When might the inter-quartile range be better for describing a data set than the range?
    15·2 answers
  • caleb throws a ball three times for his dog leo. for each throw. leo either catches the ball of misses it. identify the sample s
    11·1 answer
  • If someone catches me up on edge for math I will pay 100 dollars anyway you want it. Please someone help me! If interested email
    15·1 answer
  • How many american dollars can be cxchanged by NRs100000​
    8·1 answer
  • What is the length if the baseedge labeled X? Will mark brainliest if correct.
    12·1 answer
  • X/8 =.42 solve for X
    11·1 answer
  • Describe in words where the square root of thirty-five would be plotted on the number line.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!