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belka [17]
3 years ago
14

Which equation correctly solves for h, the x-coordinate of the vertex of a quadratic function, when starting with the equation f

or the vertex form of a parabola?
h = x +a−yk
h = x +a–ky
h = x +y–ka
h = x +y+ka
Mathematics
1 answer:
never [62]3 years ago
4 0
Im pretty sure its h=x+y-ka
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Write an equation of the line passing through point p(-2,6) that is parallel to the line x=-5
padilas [110]

Answer:

The graph of the line x = -2  is also attached below.

Step-by-step explanation:

Given the line

x=-5

x=-5 represents the vertical. We know that the slope of a vertical line is undefined. Thus, the slope of x=-5 is undefined.

Since parallel lines have the same slopes, it means the line which is supposed to be the parallel line to the given line and passing through p(-2, 6) must also be in the form (x = a).

As the line passes through (-2, 6). As the line is vertical, meaning no matter what the value of y is, the x-value remains the same.

Thus, the equation of the line would be x = -2

The graph of the line x = -2  is also attached below.

5 0
3 years ago
Edith is balancing her lawn care business' check registry. Her initial balance was $5,850.25. She deposited a check for $45.00 a
Lubov Fominskaja [6]

Answer:

$5900.60

Step-by-step explanation:

We simply need to add the deposits to her initial balance and subtract the purchases from her initial balances.

Her initial balance was $5,850.25.

She deposited a check for $45.00 and a check for $55.50.

Her new balance is:

5850.25 + 45.00 + 55.50 = $5950.75

Edith then purchased a new rake for $32.65 and spent $17.50 on gas for the lawn mower.

Her new balance is:

5950.75 - (32.65 + 17.50)

5950.75 - 32.65 - 17.50 = $5900.60

The new balance is $5900.60

5 0
3 years ago
Read 2 more answers
The sum of two numbers is 33. Twice the first number minus the second number equals 18. Find both numbers.
SOVA2 [1]
Y+x=33
2x-y=18
3x=51
x=17
y=33-x
y=16
3 0
4 years ago
Read 2 more answers
Use the ordinary interest method to find the rate of interest that Make Over Picture Photo pays on a loan of $8,000 for 285 days
Doss [256]

Answer:

0.03%

Step-by-step explanation:

Simple interes = PRT/100

Given

Interest = $590.00

Principal P = $8000

Time T = 285 days

Rate = ?

Since I = PRT/100

R = 100 x I /PT

= 100 x $590.00 /$8000 x 285

Multiply through

= 59000/2280000

= 0.03%

8 0
3 years ago
NEED ANSWER ASAP!!! Express your answer in scientific notation. 9.3 X 107 - 3.14 X 106
kirza4 [7]

Answer:

89.86\times 10^6

Step-by-step explanation:

9.3\times 10^7 - 3.14\times 10^6\\

In order to simplify the above expressions we make sure that we get same powers of 10 for both the terms.

So, we multiply and divide the first term with 10

Dividing first term by 10.

\frac{9.3\times 10^7}{10}\\9.3\times 10^{7-1}\\9.3\times 10^6\\

Now multiplying it by 10.

10\times9.3\times 10^6\\93\times 10^6

Evaluating the new expressions.

93\times 10^6 - 3.14\times 10^6\\

Taking 10^6 common factor out.

(93-3.14)\ties 10^6

=89.86\times 10^6

5 0
3 years ago
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