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klemol [59]
3 years ago
12

Find a formula for the quadratic function whose graph has vertex (-1,3) and y-intercept -3.

Mathematics
1 answer:
Blababa [14]3 years ago
7 0

Answer:-6x^2-12x-3


Step-by-step explanation:

assume the equation is ax^2+bx+c=y

c=-3

-b/2a=-1

a-b+c=3

a=-6

b=-12


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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

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3 0
3 years ago
Jim is saving nickels, dimes and quarters to buy a baseball mitt. He has 12 more
Harrizon [31]

Answer:

36 quarters   48 dimes  64 nickels

Step-by-step explanation:

quarter = q

dime = q+12

nickel = 2q-8

$17 = 1,700 cents

(q)25 + (q+12)10 + (2q-8)5 = 1,700

25q +10q+120  +10q-40 =1,700

45q+80 = 1,700

45q = 1620

q= 36      

 36     QUARTERS x25 =  900cents

 48 DIMES    x10      =         480 cents

  64 NICKELS x 5 =             320 cents

  TOTAL                              1,700 cents ($17)

5 0
2 years ago
Simplify: 7·(a+5)–30 =
postnew [5]

Answer:

7a + 5

Step-by-step explanation:

Distribute using PEMDAS.


7 0
3 years ago
Please help with this, thanks
Readme [11.4K]

Answer:

BDC is half of mBC = 11°

Easily you see that C is A + BDC = 23°

Since C = 23° so mDC is twice = 46°

x

8 0
3 years ago
What is the surface area of the triangular prism?
dexar [7]

Answer:

the answer is 72 square feet

Step-by-step explanation:

(5×4)+(5×5)+(5×3)+(12)=72

7 0
3 years ago
Read 2 more answers
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