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
Aleksandr [31]
3 years ago
12

Assume y varies directly as x. If y = 30 when x = -3, find y when x = -9.

Mathematics
1 answer:
navik [9.2K]3 years ago
7 0

Answer:

y is 90

Step-by-step explanation:

The y/x is proportional per point (x,y) since this is a direct variation.

That is ,

\frac{30}{-3}=\frac{y}{-9}.

Cross multiply:

30(-9)=y(-3)

Simplify:

-270=-3y

Divide both sides by -3

\frac{-270}{-3}=y

90=y

You might be interested in
If sinX= 0.9, what is the value of cos X?<br><br> Round the value to the nearest thousandth.
SSSSS [86.1K]

Answer: sqrt(19)/10

Step-by-step explanation:

sinx=0.9

x=arcsin(0.9)


Insert x for cos(x):

cos(arcsin(0.9)=

Use identify cos(arcsin(x))=\sqrt{1-x^{2} }, so

\sqrt{1-(\frac{9}{10})^{2}} =\sqrt{\frac{19}{100} } =\frac{\sqrt{19}}{10}


Sorry if this is confusing.



6 0
3 years ago
Use the triangle below and the given trigonometric ratio to determine which angle in the triangle below is
4vir4ik [10]
Cosine is the ratio of the adjacent side to the hypotenuse.

In short, we have this equation
cos(angle) = adjacent/hypotenuse

In the case of cos(A) = 18/19.5 we can see that
adjacent = 18
hypotenuse = 19.5

The side of 18 cm is next to angle 2, so the 18 cm side is adjacent to angle 2 (in contrast, the 7.5 cm side is the opposite leg in relation to angle 2)

So that's why the answer is angle 2
In other words, replace the '2' angle marker with 'A' to be able to write cos(A) = 18/19.5
7 0
3 years ago
(3x²+4x-1) + (-2x²-3x+2)
Vedmedyk [2.9K]

Answer:

(3x²+4x-1) + (-2x²-3x+2)

3x²+4x-1 -2x²-3x+2

3x²-2x²+4x-3x-1+2

x²+x+1

5 0
3 years ago
Read 2 more answers
Maria ate 1/4 of a pizza. If there were 20 slices of pizza, how many slices did Maria eat?
Sav [38]

Answer:

Step-by-step explanation:

1/4x20=5 so Maria ate 5 slices of pizza.

7 0
3 years ago
Using the binomial theorem, expand the expression (4 + y) to the power of 4
Flauer [41]

Answer:

When raised to the power of 4, the binomial (4 + y) expands to:

y^4 + 16y^3 + 96y^2 + 256y + 256

Step-by-step explanation:

(4 + y)^4 \\= (y^2 + 8y + 16)^2\\= y^4 + 8y^3 + 16y^2 + 8y^3 + 64y^2 + 128y + 16y^2 + 128y + 256\\= y^4 + 16y^3 + 96y^2 + 256y + 256

8 0
3 years ago
Other questions:
  • Mr. Rr the Rreliable Rrobot has been programmed to whistle every $18$ seconds and do a jumping jack every $42$ seconds, starting
    8·1 answer
  • 2/3 gas tank cuts 3 lawns how many does 1 gas tank cut
    9·1 answer
  • Solve the equation for all values of x: (x+1)^2=-49
    10·1 answer
  • 35/50 into percentage
    5·1 answer
  • What is the y-intercept of the graph of y=100(2)^x-5
    11·1 answer
  • The focus of a parabola is (3,-7) and the directrix is y = -4.
    15·1 answer
  • Fatima Sheroud sells children's clothing for The
    14·1 answer
  • If vector v has an initial point at P1 and a terminal point at P2, write v as multiples of the basis vectors That is, write v in
    7·1 answer
  • A 5-pound bag of cat food costs $11.25.What is the unit price of the cat food in dollars per pound?
    9·2 answers
  • Erica, James, Stella, and Kim all did an experiment involving an electrically charged object. Who did repeated trials of his or
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!