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
Nostrana [21]
3 years ago
15

If H(x) = 4x2 - 16 were shifted 9 units to the right and 1 down, what would the new equation be?

Mathematics
1 answer:
Nostrana [21]3 years ago
6 0

Answer:

4(x-9)² - 17

Step-by-step explanation:

if moving left or right, the a value for (x-a) + b changes, and if it move up or down, the b value for (x-a) + b changes

You might be interested in
A surfer is riding a 7 foot wave. The angle of depression from the surfer to the shoreline is 10 degrees. What is the distance f
denis23 [38]

Step-by-step explanation:

The distance from the surfer to the shoreline will be found as follows:

tan θ= opposite/adjacent

θ=10°

opposite=7ft

adjacent= x ft

substituting the values in our formula and solving for x we get

tan 10=7/x

hence

x=7/tan10

x=39.69897~ 39.7 ft

The surfer is 39.7 ft from the shoreline.

6 0
2 years ago
Read 2 more answers
Find a cartesian equation for the curve and identify it. r = 10 tan(θ) sec(θ)
Vilka [71]
For a cartesian equation
x=r\cos\theta \ and \ y=r\sin\theta \\  \\ \cos\theta=\frac{x}{r} \ and \ \sin\theta=\frac{y}{r} \\  \\ \tan\theta=\frac{\sin\theta}{\cos\theta}=\frac{y}{r}\cdot\frac{r}{x}=\frac{y}{x} \\  \\ \sec\theta=\frac{1}{\cos\theta}=\frac{r}{x}

Given r = <span>10 tan(θ) sec(θ)
r=10\tan\theta\sec\theta=10\cdot\frac{y}{x}\cdot\frac{r}{x} \\  \\ \Rightarrow10y=x^2 \\  \\ \Rightarrow y= \frac{1}{10} x^2

Therefore,</span>the curve is a parabola opening upward with vertex (0, 0).
3 0
3 years ago
The answer <br> The answer
docker41 [41]

Answer:

10.21

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
A biologist determined that the quantity of bacteria in a petri dish decreases by half every day of the study. If there were 8 g
Anna [14]
The sender is .75 grams
3 0
3 years ago
PLEEASSEEEE Answer ASAP. Due in 5 Minutes. 25 points!!!!!!!!!
jonny [76]

Answer:

Here we will use the relationships:

a^n*a^m = a^{n + m}

(a^n)^m = a^{n*m}

\frac{a^n}{a^m} = a^{n - m}

And a number:

a^n

is between 0 and 1 if a is positive and larger than 1, and n is negative.

if a is positive and 0 < a < 1, then we need to have n positive such that:

0 < a^n < 1

A) 5^3*5^{-4} = 5^{3 + (-4)} = 5^{-1}

This is between zero and 1,

B) \frac{3^5}{3^{-6}} = 3^{5 - (-6)} = 3^{11}

This is greater than 1, because the exponent is positive.

C) (\frac{1}{4})^3*( \frac{1}{4})^2 = (\frac{1}{4})^{2 + 3} = (\frac{1}{4})^5

Because a is smaller than 1, and the exponent is positive, then the expression is between 0 and 1.

D) \frac{(-7)^5}{(-7)^7} = (-7)^{5 - 7} = -7^{-2}

The exponent is negative (and pair) then the expression is between 0 and 1.

Remember that when the exponent is pair, we always have that:

(-N)^m = (N)^m

So (-7)^-2 = 7^-2

4 0
2 years ago
Other questions:
  • Fanga ran 28 miles per in 4 hours She ran at a rate of how many miles per hour
    14·2 answers
  • If 3x is one factor of 3x²-9x what is the other factor 1. 3x 2. x²-6x 3. x-3 4. x-3
    11·1 answer
  • Brian, Steve, and Rita invested a total of $24,000 in a business. Each person invested the same amount. Unfortunately, in the fi
    7·2 answers
  • What are the factors of the expression below? -x+2x+35
    5·2 answers
  • Change the subject of the formular to R
    15·1 answer
  • Solve the system by either substitution or elimination
    10·1 answer
  • Which of the follwing is not a pythagorean triple 10,16 19<br>8,15,17<br>16,63,65<br>11,60,61​
    11·1 answer
  • Supplementary angles
    13·1 answer
  • Need help<br><br> 3y+5x=22; x=y/2
    12·2 answers
  • × + 5= 11 solve the equation​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!