MATHEMATICS HIGH SCHOOL

Write the equation for a parabola with the focus at(-1, 4) and the equation of the directrix x = 5.
(x + 1)2 = 3(y-4)
(y-4)2 = 12(x + 1)
(y-2)2 = -3(x – 4)
(y-4)2 = –12(x - 2)

Answers

Answer 1
Answer: The answer is (y - 4)2 = -12(x - 2)
Since the graph is facing the left, the starting equation would be (y - k)2 = -4p(x - h).
(h, k) is the vertex of the graph. If you plot the focus and the directrix, you can see that the distance is 6. Divide 6 by 2, thus the vertex should be 3 squares away from the focus and 3 squares away from the directrix. The vertex is (2, 4). And since the distance from the focus to the vertex and the distance from the directrix to the vertex is 3, P = 3.
Insert the numbers in and you should get the last choice.

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The model shows the expression 20 + 16.Which expression is equivalent to this sum?
O4(5) + 4
4+5+4
O4(5+4)
5(4+4)

Answers

The third one. O4 (5+4)

Explanation:
4 (5+4)
4 times 5 is 20 which added to 4 times 4 which is 16 is the same thing asked before. 20+16. So the answer is the third one

Answer:

4 (5 + 4)

Step-by-step explanation:

20 + 16

= 4 (5 + 4)

= 4(5) + 4(4)

= 20 + 16

therefore, the answer is 4 (5 + 4)

Mr. Chong deposits RM5 000 into a fixed deposit account with 4% interest rate compounded every 3 months for a period of 3 years. Calculate the amount of interest accrued after the third year。 fast please tq
​

Answers

Answer:

The interest is 634.13.

Step-by-step explanation:

Amount deposit , P = 5000

Interest, R = 4 % so, R = 4/4 = 1 %

Time, T = 3 years quarterly

n = 3 x 4 = 12

Let the amount is A.

Use the formula of the compound interest

A = P \left ( 1 + (R)/(100) \right )^n\n\nA = 5000 \left ( 1 + (1)/(100) \right )^(12)\n\nA = 5634.13

So, the interest is

I = A - P = 5634.13 - 5000 = 634.13

2. Over a four-week period, Gail earned the following commissions? Week 1 $250.00 Week 2 310.00 Week 3 275.00 Week 4 195.00 What was her average weekly commission for the period?

Answers

$250.00+ $310.00+ $275.00+ $195.00= $1,030.

$1,030 / 4 weeks = $257.50/ week.

Her average weekly commission for the period is $257.50/ week.

Hope this helps~
♥ To find out this we have our formula:
$250.00+ $310.00+ $275.00+ $195.00
Now if we solve that:
$1,030
Now divide by 4 because there are 4 total weeks
$1,030 / 4 weeks
Solve that:
$257.50 a week is her average.

What is the square root of 2?

Answers

Hi There!

What is the square root of 2?

The answer is 1.4 or 1.41421356237
The answer is not 1.4

The answer is 2

Given f^{-1} (x)=2x^3+3. Write an equation that represents f(x).I just need some help. I can't figure out this problem since I'm watching a toddler while doing this.

Answers

Answer:

f(x) = [(x - 3)/2]^⅓

Step-by-step explanation:

f(x) is the inverse of f^-1

y = 2x³ + 3

x³ = (y - 3)/2

x = cuberoot [(y - 3)/2]

Interswitch variables

f(x) = [(x - 3)/2]^⅓

What is the mechanical advantage of a ramp that is 5 m long and 1.5 m high

Answers

it would 7.5 meters long
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