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3 years ago

HELP IM CONFUSED I WASNT AT SCHOOL

Mathematics

1 answer:

artcher [175]3 years ago

3 0

For the first one the distance is 47

For the second one the distance is 6

Correct me if I’m wrong

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Write the equation of the conic section below.

tangare [24]

Answer:

$(x-3)^2=8(y+1)$

Step-by-step explanation:

Standard form of a parabola with a vertical axis of symmetry:

$(x-h)^2=4p(y-k) \quad \textsf{where}\:p\neq 0$

$\textsf{Vertex}=(h, k)$

$\textsf{Focus}=(h,k+p)$

$\textsf{Directrix}:y=(k-p)$

$\textsf{Axis of symmetry}:h=k$

If p > 0, the parabola opens upwards, and if p < 0, the parabola opens downwards.

From inspection of the graph:

Vertex = (3, -1)
Directrix = y = -3

Therefore:

h = 3
k = -1
k - p = -3

Use the Directrix equation to find p

⇒ y = (k - p)

⇒ -3 = -1 - p

⇒ p = 2

Therefore the equation of the conic section is:

$\implies (x-3)^2=4\cdot 2(y-(-1))$

$\implies (x-3)^2=8(y+1)$

Rearranging in standard form $ax^2+bx+c$ :

$\implies (x-3)^2=8y+8$

$\implies x^2-6x+9-8=8y$

$\implies x^2-6x+1=8y$

$\implies y=\dfrac{1}{8}x^2-\dfrac{3}{4}x+\dfrac{1}{8}$

7 0

3 years ago

(6a+11) (2a + 83) A) 21 B) 17 C) 18 D) 20 (20points)

Neporo4naja [7]

(6a+11)=(2a+83)
6a+11=2a+83
-11 -11
6a=2a+72
-2a -2a
4a=72
4/4a=72/4
a=18
The solution is 18

6 0

3 years ago

Find the equation of the linear function represented by the table below in slope-intercept form.

Anit [1.1K]

Answer:

es x positivo por qué y es negativo

Step-by-step explanation:

me entendiste

3 0

3 years ago

Read 2 more answers

Find the mean. Round to the nearest tenth. 4,1,5,5,7,13

dangina [55]

Answer:

it is 5.8

Step-by-step explanation:

7 0

3 years ago

Steven wishes to save for his retirement by depositing $2,000 at the beginning of each year for thirty years. Exactly one year a

Ad libitum [116K]

Step-by-step explanation:

i = interest 3% for 30 years

This is a simple dynamical system for whom the the solutions are given as

$S=R[\frac{(i+1)^n-1}{i}](i+1)$

putting values we get

S=2000[\frac{(1.03)^{30}-1}{0.03}](1.03)

= $98005.35

withdrawal of money takes place from one year after last payment

To determine the result we use the present value formula of an annuity date

$P = R\frac{1-(1+i)^{-n}}{i}{i+1}$

we need to calculate R so putting the values and solving for R we get

R= $6542.2356

8 0

3 years ago