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
VARVARA [1.3K]
3 years ago
6

Y is directly proportional to (x-1)2. When x = 3, y = 24. Find y when x = 6.

Mathematics
1 answer:
alekssr [168]3 years ago
8 0

Answer:

<em>y = 150</em>

Step-by-step explanation:

<u>Proportions</u>

It's given y is directly proportional to the square of x-1. It can be expressed as:

y=k(x-1)^2

Where k is the constant of proportionality. We know y=24 when x=3. Substituting:

24=k(3-1)^2

24=k(2)^2=4k

Solving for k:

k = 24/4 = 6

Thus, the equation is:

y=6(x-1)^2

When x=6:

y=6(6-1)^2=6(5)^2=6*25

y = 150

You might be interested in
I need help with this math equation 3(2x + 6)
My name is Ann [436]

Answer:

6+18 pls give brainlest

Step-by-step explanation:

How to solve your problem

3(2+6)

Simplify

1

Distribute

3(2+6)

6+18

Solution

6+18

7 0
3 years ago
Jaden is flying a kite with an angle of elevation of 33 degrees. If Jaden lets out 275 feet of string, how high above the ground
pshichka [43]

Answer:

149.8 feet

Step-by-step explanation:

θ = Angle of elevation = 33°

The length of string Jaden lets out = Hypotenuse = 275 feet.

How high above the ground that the kite is flying = Opposite Side.

We are solving this question using the Trigonometric function of Sine

Sin θ = Opposite Side/Hypotenuse

Sin 33 = Opposite/275 feet

Cross Multiply

Sin 33 × 275 feet = Opposite

Opposite side(Height ) = 149.77573463 feet

Approximately to the nearest tenth = 149.8 feet

8 0
3 years ago
What is the slope-intercept form of the function described by this table?
Vikentia [17]
Y=5x - 3 Because the difference in the y values are 5, the rise is 5. That is the TOP of the slope. The difference in the x values is 1, that is the run or the BOTTOM of the slope. So m = 5/1. Using y = mx + b 2 = 5(1) + b -3 = b Therefore, y = 5x -3
8 0
3 years ago
Rsm question please explain<br> The question is in the picture
strojnjashka [21]

A triangle is a three-edged polygon with three vertices. ΔAKE and ΔCKP are congruent.

<h3>What is a triangle?</h3>

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angle of a triangle is always equal to 180°.

In ΔABC, since AB≅BC, therefore, the triangle will be an isosceles triangle, and the measure of ∠A ≅ ∠C, using the base angle theorem.

Now In ΔAKE and ΔCKP,

∠A ≅ ∠C {Proved above}

∠AKE ≅ ∠CKP {Given}

AK ≅ KC {Given }

Since two angles and a side of the triangle are equal, therefore, we can write the two triangle are congruent using the Side-angle-side or Angle-Side-Angle congruence.

Hence, ΔAKE and ΔCKP are congruent.

Learn more about Triangle:

brainly.com/question/2773823

#SPJ1

7 0
2 years ago
Find the value of the trig function indicated
Alex

Answer:

Is this the full question?

7 0
3 years ago
Other questions:
  • What is the answer to 4+x+7 + x = 33<br> A. 11<br> B. -11<br> C. 12<br> D. 22
    14·1 answer
  • If you are delt 4 cards from shuffled deck of 52 cards, find the probability that all 4 cards are diamonds
    14·1 answer
  • Multiply. 1 2/9 1 4/5
    13·2 answers
  • Clara is building a triangular garden. She wants the length of the longest side to be three more than twice as long as the lengt
    6·2 answers
  • 30240 times 402872 equals what?
    12·1 answer
  • Ratio of blue to green sweets is 2:7 Ration of green to red sweets is 3:1 There are less than 140 sweets in the bag Greatest amo
    14·1 answer
  • If the x-intercepts of a quadratic function are (8,0) and (6,0), what is the x-coordinate of
    12·1 answer
  • Question 3 2 pts Here is a story: Diego bought 4 boxes of cookies to thank his coaches at the end of the season. Each box had th
    15·2 answers
  • Solve for x<br><br><br><br><br> Thankyouhjg
    13·1 answer
  • Triangle prism surface area
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!