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
Oliga [24]
3 years ago
10

Please help ASAP need answers thank you

Mathematics
1 answer:
wlad13 [49]3 years ago
6 0

Similar triangles

x/3 = (9+3)/x

x/3 = 12/x

x^2 = 3 * 12

x^2 = 36

x = 6

Answer

6

You might be interested in
Is 8/10=2/5 a true proportion
FinnZ [79.3K]
No, a true proportion states that two ratios are equal.
8/10 = 4/5
2/5 = 4/10
5 0
2 years ago
Consider F and C below. F(x, y, z) = y2 sin(z) i + 2xy sin(z) j + xy2 cos(z) k C: r(t) = t2 i + sin(t) j + t k, 0 ≤ t ≤ π (a) Fi
Liono4ka [1.6K]

Answer:

a) f (x,y,z)= xy^2\sin(z)

b) \int_C F \cdot dr =0

Step-by-step explanation:

Recall that given a function f(x,y,z) then \nabla f = (\frac{\partial f}{\partial x},\frac{\partial f}{\partial y},\frac{\partial f}{\partial z}). To find f, we will assume it exists and then we will find its form by integration.

First assume that F = \nabla f. This implies that

\frac{\partial f}{\partial x} = y^2\sin(z) if we integrate with respect to x we get that

f(x,y,z) = xy^2\sin(z) + g(y,z) for some function g(y,z). If we take the derivative of this equation with respect to y, we get

\frac{\partial f}{\partial y} = 2xy\sin(z) + \frac{\partial g}{\partial y}

This must be equal to the second component of F. Then

2xy\sin(z) + \frac{\partial g}{\partial y}=2xy\sin(z)

This implies that \frac{\partial g}{\partial y}=0, which means that g depends on z only. So f(x,y,z) = xy^2\sin(z) + g(z)

Taking the derivative with respect to z and making it equal to the third component of F, we get

xy^2\cos(z)+\frac{dg}{dz} = xy^2\cos(z)

which implies that \frac{dg}{dz}=0 which means that g(z) = K, where K is a constant. So

f (x,y,z)= xy^2\sin(z)

b) To evaluate \int_C F \cdot dr we can evaluate it by using f. We can calculate the value of f at the initial and final point of C and the subtract them as follows.

\int_C F \cdot dr = f(r(\pi))-f(r(0))

Recall that r(\pi) = (\pi^2, 0, \pi) so f(r(\pi)) = \pi^2\cdot 0 \cdot \sin(\pi) = 0

Also r(0) = (0, 0, 0) so f(r(0)) = 0^2\cdot 0 \cdot \sin(0) = 0

So \int_C F \cdot dr =0

5 0
2 years ago
Give f(x)=3x-7 what is f(2)
Genrish500 [490]
You would just replace x with 2 in the part equation and solve for it. So 3(2) - 7. This is equal to -1
5 0
3 years ago
May someone please help me out on this question
NISA [10]

Answer:

A

Step-by-step explanation:

It's hard to see but when x is 6, y is 4.5. Just plug that into each equation and see which one is correct.

x^{2} =8y\\x=6;y=4.5\\6^{2} =8(4.5)\\36=36

8 0
3 years ago
Which will result in a difference of squares?
Vedmedyk [2.9K]
Please show the choices
8 0
3 years ago
Other questions:
  • A rectangular athletic field is twice as long as it is wide. If the perimeter of the field is 96, what are it's dimensions?
    9·2 answers
  • What is the slope of the line y=8?
    15·1 answer
  • The total variable overhead variance can be expressed as:
    15·1 answer
  • AP Calc pls help<br> Find the area of the region bounded by the graphs of y = x2 − 4x and y = x − 4.
    6·1 answer
  • Select the correct answer. What is the solution set of 4x = y and 2x2 − y = 0? {(0.5, -0.5), (2, -8)} {(0, 0), (2, 8)} {(1.5, 2)
    12·1 answer
  • The speed limit on a highway is 55 mph. A speed sensor showed that a car went 900 ft in 8 s. Is the car traveling over the speed
    9·1 answer
  • There are 100 people in a sport centre.
    5·1 answer
  • Help me please. Refer to the image first. <br><br>​
    7·1 answer
  • A box contains 17 ​transistors, 3 of which are defective. If 3 are selected at​ random, find the probability that
    8·2 answers
  • When f(x) = 6x² + 6x + 3, evaluate f( – 5)​
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!