A parabola is defined by the equation (x − 5)2 = 12(y + 2). In which direction will the parabola open?

Answers

Answer 1

Answer: Since the equation is in the form:
(1/a)(y – k) = (x – h)2

Then, the parabola will open either upward or downward. To tell which direction will the parabola open, the coefficient of the term:
(y – k)
must be inspected.

The coefficient is 12 and it is a positive number, therefore, the parabola will open upward.

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Helpppp plz will give brainliest

Answers

11x = 44
X=4
44 + 7 = 51

5x = 20
31 + 20 =51

51 = 51

Write the improper fraction 33/10 as a mixed number

Answers

the answer is 3 3/10

hope this helps

Answer = 3 3/10

there’s 33 take away the ones that go to ten.

10 10 and 10 is 30. Therefore it’s 3 and 3/10

a women earn $2600 per month and budget $520 per month for food .what is her monthly income is spent on food /

Answers

$2600 per month earning
$520 per month on food

Her monthly income spent on foo is about $520.

The account balance on April 1st is $50.51. On April 15th a payment of $15.00 is made. On April 25th a purchase of $19.27 is made. The annual rate is 18%.What is the unpaid balance? What is the finance charge using the unpaid balance method? What is the new balance?

Unpaid balance = $
Finance charge = $
New balance = $

Answers

In response to the stated question, we can state that The new balance is equation therefore $55.59.

What is equation?

An equation is a mathematical assertion that establishes the equality of two expressions that are joined together by the equals sign ('='). For example, 2x – 5 = 13. 2x-5 and 13 are examples of expressions. The letter '=' connects the two expressions. A mathematical formula is called an equation if it contains two algebraic expressions on either side of the equal sign (=). It shows how the right and left formulas are equivalent to one another. Any formula will result in L.H.S. = R.H.S. (left side = right side).

We must ascertain the balance that is still owing after the payment and purchase transactions have been executed in order to calculate the unpaid balance.

The balance drops to $35.51 on April 15 ($50.51 - $15.00), a reduction of $15.00.

The account balance climbs to $54.78 ($35.51 + $19.27) on April 25.

The remaining balance is $54.78 as a result.

$44.29 * (0.18 / 365) * 30 = $0.81

The finance fee is therefore $0.81.

We combine the outstanding balance and the finance charge to determine the new balance:

$54.78 + $0.81 = $55.59

The new balance is therefore $55.59.

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1. Given ΔQRS (is congruent to) ΔTUV, QS = 3v + 2 and TV = 7v - 6, find the length of QS and TV. Provide a detailed response below, please. I was not provided with a picture, unfortunately.

Answers

Because ΔQRS is congruent to ΔTUV, the the segments GS and TV are also congruent due to the letter order (Q and T are first and S and V are 3rd.) Since they are congruent QS=TV. So 3v + 2 = 7v - 6

Work:
3v + 2 = 7v - 6
+6 +6
3v + 8=7v
-3v -3v
8 = 4v
4 4
2 = v

3(2) + 2 = GS
6+2 = GS
8 = GS

7(2) - 6 = TV
14-6=TV
8 = TV

Final Answer: 8=QS and 8=TV

So, we know the 2 triangles are congruent, that means that all complementary sides are congruent too. Draw out the triangle, make it look equal to each other, and put down the respective names down, IN ORDER, for both triangle. Then, you will see that QS and TV are complementary to each other, meaning they are congruent to each other. So, we can set their two equation equal to each other. Equation: 3v + 2 = 7v - 6. Now it's all algebra, solve for v, you should get 2. Now, we plug it back in for one of the equations (either one is fine because they are congruent to each other already), you should get 8 as your answer. I hope this helps!

The unit rate of change of Y with respect to X is the amount Y changes for a change of one unit in XThe table below represents a proportional relationship with a constant unit rate of change of Y with respect to X

Which describes a greater unit rate of change of Y with respect X, the equation y=0.25x or the table?

Choose 1 answer:
A. The table
B. The equation
C. The unit rates are the same