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
german
3 years ago
9

How do I solve for x?

Mathematics
1 answer:
saveliy_v [14]3 years ago
4 0

 

\displaystyle\\\text{The equation is:}\\\\13^2-x^2=15^2-(14-x)^2\\\\13^2-x^2=15^2-(14^2-28x+x^2)\\\\13^2-x^2=15^2-14^2+28x-x^2)\\\\-x^2+x^2-28x=15^2-14^2-13^2\\\\-28x=225-196-169\\ \\-28x=-140~~~\Big|~\cdot(-1)\\\\28x=140\\\\x=\frac{140}{28}\\ \\\boxed{\bf x=5}



You might be interested in
A newly opened middle school’s enrollment is currently at 400 students. However, the school is implementing new programs and inc
uysha [10]

500

Step-by-step explanation:

400 x 1.25 = 500 or just 400x0.25 +400

4 0
3 years ago
Read 2 more answers
1. The volume of the cylinder is 78 cubic cm, find the volume of the cone.<br>​
harkovskaia [24]

Answer:

The volume of a cylinder = 78 \mathrm{cm}^{3}78cm3

Let us substitute the volume of cylinder in the formula.

The formula for volume of a cone is V=\frac{\pi r^{2} h}{3}V=3πr2h                    (1)

The formula for volume of a cylinder is V=\pi r^{2} hV=πr2h              (2)

Substituting V=78V=78 in equation (2), we get,

\begin{gathered}\begin{array}{c}{V=\pi r^{2} h} \\{78=\pi r^{2} h}\end{array}\end{gathered}V=πr2h78=πr2h

Given that the cone has the same radius and height of that of the cylinder, let us substitute 78=\pi r^{2} h78=πr2h in equation (1)

\begin{gathered}\begin{array}{l}{V=\frac{\pi r^{2} h}{3}} \\{V=\frac{78}{3}} \\{V=26}\end{array}\end{gathered}V=3πr2hV=378V=26

Thus, the volume of a cone with the same radius and height of a cylinder is 26 \mathrm{cm}^{3}26cm3 .

4 0
3 years ago
Read 2 more answers
A rocket is launched vertically from the ground with an initial velocity of 64 ft/sec.
diamong [38]

we know the rocket was launched from the ground, meaning its initial height is 0, thus

~~~~~~\textit{initial velocity in feet} \\\\ h(t) = -16t^2+v_ot+h_o \quad \begin{cases} v_o=\textit{initial velocity}&64\\ \qquad \textit{of the object}\\ h_o=\textit{initial height}&0\\ \qquad \textit{of the object}\\ h=\textit{object's height}&\\ \qquad \textit{at "t" seconds} \end{cases} \\\\\\ h(t)=-16t^2+64t+0\implies h(t)=-16t^2+64t

Check the picture below.

3 0
2 years ago
How to solve this please help me 2/3×1/2(3/4÷1 2/5)​
Damm [24]

Answer:

0.624999999(repeating) so i would round it to 0.625 or 0.63 (both work and are rounded, its really up to wherever your teacher wants you to round it to if they want you to round it)

Step-by-step explanation:

2/3 x 1/2 (3/4 ÷ 2/5)=

simplify the parentheses (3/4 ÷ 2/5) to 1.875

2/3 x 1/2 x 1.875=

simplify 2/3 x 1/2 to 0.333333(repeating)

0.3333333333 x 1.875 = 0.6249999999(repeating)

round it to 0.625 or 0.63 (which ever one your teacher wants you to round it to)

3 0
4 years ago
Julio wants to calculate 200,000 300,000. When he used
IRISSAK [1]
Answer: D

Just add 10 zeros behind the 6.
You get 60,000,000,000

Checking this with a calculator verifies this is the correct answer.
4 0
4 years ago
Read 2 more answers
Other questions:
  • In the diagram below de is parallel to xy what is the value of y?
    13·2 answers
  • Can a triangle be formed with the side lenghts of 8cm, 4cm, and 12cm
    5·2 answers
  • three vertices of a rectangle have cordinates (0,0) (7,0) (7,3) Which are the coordinates if the missing vertex? A:(3,7) B:(3,3)
    7·1 answer
  • nadia has 38 CDs she will pack them in cases that each hold 5 CDs. how many cases will she need to pack them
    12·2 answers
  • What is greater 9.23 or 9.32
    11·1 answer
  • Find the sum and product of the roots.<br> 3x^2 - 4x-7 = 0
    6·1 answer
  • Reuben rented a truck for one day. There was a base fee of $15.99, and there was an additional charge of 86 cents for each mile
    6·1 answer
  • 2X- 10 =30 solve for X
    9·2 answers
  • HELP NEEDED 20 POINTS AND BRAINLIST!!!! Please explain your answer and no links! please!
    14·1 answer
  • Someone help me I will mark you as brain
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!