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3 years ago

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)
$r=10\tan\theta\sec\theta=10\cdot\frac{y}{x}\cdot\frac{r}{x} \\ \\ \Rightarrow10y=x^2 \\ \\ \Rightarrow y= \frac{1}{10} x^2$

Therefore,</span>the curve is a parabola opening upward with vertex (0, 0).

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°

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