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riadik2000 [5.3K]
3 years ago
11

Help help help please

Mathematics
1 answer:
Olin [163]3 years ago
4 0

Answer:

Step-by-step explanation:

a² + b² = c²

a² + 9² = 12²

a² + 81 = 144

a² = 63

a = √63

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Jesse owes $8,473 on a credit card with a 21.5% interest rate. What is the monthly payment he should make to pay off this debt i
kakasveta [241]
You can use an online credit card calculator in computing the monthly payment. Refer to the attachment for the answer and graph. The given are the following: balance - 8,473; interest rate - 21.5%; months - 12. The answer is the third option - you'll need to pay <span>$790.99 every month for 12 months.</span>

3 0
3 years ago
Find the 52nd term of the following arithmetic sequence.<br> 3, 9, 15, 21,
Alex Ar [27]

Answer:

309

Step-by-step explanation:

a = 3, d = 6, n 52

Nth term of an Arithmetic sequence is given as:

t_n=a +(n-1)d \\  \therefore \: t_{52}=3 +(52-1) \times 6 \\ \therefore \: t_{52}=3 +51\times 6 \\  \therefore \: t_{52}=3 +306 \\   \huge \red{ \boxed{\therefore \: t_{52}=309 }}\\

4 0
4 years ago
A N S W E R Q U I C K P L E A S E
chubhunter [2.5K]

Answer:

1. A

2. D

3. D

Step-by-step explanation:

The standard form of a parabola is

y=\frac{1}{4p}(x-h)^2+k            ..... (1)

Where, (h,k) is vertex, (h,k+p) is focus and y=k-p is directrix.

1. The directrix of a parabola is y=−8 . The focus of the parabola is (−2,−6) .

k-p=-8                   ...(a)

(h,k+p)=(-2,-6)

k+p=-6            .... (b)

h=-2

On solving (a) and (b),  we get k=-7 and p=1.

Put h=-2, k=-7 and p=1 in equation (1).

y=\frac{1}{4(1)}(x-(-2))^2+(-7)

y=\frac{1}{4}(x+2)^2-7

Therefore option A is correct.

2 The directrix of a parabola is the line y=5 . The focus of the parabola is (2,1) .

k-p=5                   ...(c)

(h,k+p)=(2,1)

k+p=1            .... (d)

h=2

On solving (c) and (d),  we get k=3 and p=-2.

Put h=2, k=3 and p=-2 in equation (1).

y=\frac{1}{4(-2)}(x-(2))^2+(3)

y=-\frac{1}{8}(x-2)^2+3

Therefore option D is correct.

3. The focus of a parabola is (0,−2) . The directrix of the parabola is the line y=−3 .

k-p=-3                   ...(e)

(h,k+p)=(0,-2)

k+p=-2            .... (f)

h=0

On solving (e) and (f),  we get k=-2.5 and p=0.5.

Put h=0, k=-2.5 and p=0.5 in equation (1).

y=\frac{1}{4(0.5)}(x-(0))^2+(-2.5)

y=\frac{1}{2}(x)^2-2.5

y=\frac{1}{2}(x)^2-\frac{5}{2}

Therefore option D is correct.

5 0
3 years ago
Someone please help me!
Serggg [28]

Answer:

what is your question boy

3 0
3 years ago
Plz help ASAP! thank u
LiRa [457]

Answer: Choice B)

The relation is a function because there are no vertical lines that can be drawn on the graph that pass through more than one point.

This graph passes the vertical line test. Any input (x) leads to one and only one output (y). An example of a graph failing the vertical line test would be a graph that is a sideways parabola.

4 0
3 years ago
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