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
romanna [79]
3 years ago
12

If y is directly proportional to x square and y equal 1/8 when x = 1/2 what is the positive value of x when y it was 9/2?

Mathematics
1 answer:
mojhsa [17]3 years ago
8 0

Answer:

d

Step-by-step explanation:

Given y is directly proportional to x² then the equation relating them is

y = kx² ← k is the constant of proportion

To find k use the condition y = \frac{1}{8} when x = \frac{1}{2}, then

\frac{1}{8} = k(\frac{1}{2} )² = \frac{1}{4} k ( multiply both sides by 8 )

1 = 2k ( divide both sides by 2 )

k = \frac{1}{2}

y = \frac{1}{2} x² ← equation of proportion

When y = \frac{9}{2} , then

\frac{9}{2} = \frac{1}{2} x² ( multiply both sides by 2 )

9 = x² ( take the square root of both sides )

x = ± \sqrt{9} = ± 3

with positive value x = 3 → d

You might be interested in
Which of the following is correct set notation? (1,2,3) 1,2,3 {1,2,3} none of the above
Nonamiya [84]
The third one {1,2,3}.
3 0
3 years ago
Read 2 more answers
A rectangular parking lot has a perimeter of 232 feet. the length of the parking lot is 36 feet less then the width. find the le
Troyanec [42]

Answer:

Length: 40  Width: 76

Step-by-step explanation:

W is width, and L is length.

We know that the length is 36 less than the width, so L = w - 36.  Two times the width plus two times the length equals the perimeter, so set up the equation for the perimeter as:

232 = 2w + 2(w-36)

Now solve for w:

232 = 2w + 2w - 72

304 = 4w

w = 76

we now know that the width is 76, so solve for the length:

L= 76-36

L = 40

7 0
3 years ago
-----------------------
Rasek [7]

Answer:

Is this a question?

Step-by-step explanation:

If not hey! I hope your having a wonderful day if not It'll get better I promise!! Lmk whatever you need! <33 :))

8 0
3 years ago
Read 2 more answers
Given P(x) = 2x3+ 3x2- x + 4, find P(0) and P(-2).
pshichka [43]

9514 1404 393

Answer:

  P(0) = 4

  P(-2) = 2

Step-by-step explanation:

Put the value where the variable is and do the arithmetic.

  P(0) = 2·0³ +3·0² -0 +4

  P(0) = 4

__

  P(-2) = 2·(-2)³ +3·(-2)² -(-2) +4 = 2(-8) +3(4) +2 +4

  P(-2) = -16 +12 +2 +4

  P(-2) = 2

6 0
3 years ago
Which rigid transformation would map ΔABC to ΔABF?
ANEK [815]

Answer:

This is a reflection in the axis or line through AB.

Step-by-step explanation:

Since a triangle is well defined other than its handedness by the length of two sides with the angle between those two sides, and noting the diagram shows that the sides and angle sandwiched are equal but for the fact that the order is reversed, so this is a reflection in the axis or line through AB.

5 0
3 years ago
Read 2 more answers
Other questions:
  • Help me with this question please show work and please answer it correctly I need it today .
    7·1 answer
  • In what order should a boolean retrieval system merge the related postings for best query efficiency?
    15·1 answer
  • Fed has a break at 5:41 but it only 31 min what time does he go back​
    5·2 answers
  • Triangle ABC was translated to from A’B’C’
    11·1 answer
  • A 10 pound box of apples costs 12.50. Write the ratio of cost to number of pounds as a fraction. Then find an equivalent fractio
    8·1 answer
  • Rob's family ate 3 5/8 pizzas at a local restaurant. Each pizza weighs 1 1/4 kg. Which expression can be used to determine how m
    14·1 answer
  • F(x)=[[2x]] picewise functions
    5·1 answer
  • Scott drinks 6 cups of water a day. How many fluid ounces of water does Scott drink? (2 points)
    7·1 answer
  • 2. How far is the bird from the worm? Round to the nearest whole number if necessary. (TEKS
    7·2 answers
  • When 0.3(4x – 8) – 0.5(–2.4x + 4) is simplified, what is the resulting expression?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!