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Wittaler [7]
2 years ago
8

1.Write an equation of the line in point-slope

Mathematics
1 answer:
Oduvanchick [21]2 years ago
6 0

Answer:

<u>Point slope form</u>

y-10 = -6 (x+1)

<u>Slope-intercept form</u>

y=-6x+4

<u>Standard form</u>

4x+y=4

Step-by-step explanation:

Equation in Point slope form is

y-y_1=m (x-x_1) ---------- (1)

Here

m=-5 \ \ \ and \ \ \ (x_1, y_1) = (-1, 10)

Substituting values in equation (1)

y-10 = -6 (x+1) ------------- (2)

Equation (2) is equation of line in point slope form.

<u>Re-arranging equation (2)</u>

y = -6x - 6 + 10

y=-6x+4 ----------- (3)

Equation (3) is equation of straight line in slope-intercept form

<u>Re-arranging equation (3)</u>

<u />4x+y=4   --------(4)

Equation (4) is equation of line in standard form

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There are a total of 15 dimes and quarters in a covered cup. The value of all 15 coins totals 2.85
QveST [7]

Answer:

There are 6 dimes and 9 quarters.

Step-by-step explanation:

Represent the number of dimes and the number of quarters by d and q.

Then d + q = 15, or q = 15 - d.

Also, ($0.25)q + ($0.10)d = $2.85, or 5q + 2d = 57.

Substituding 15 - d for q, we get 5(15 - d) + 2d = 57, or

75 - 5d + 2d = 57, or

75 - 3d = 57, or

3d = 18.  Thus, there are 6 dimes.  Since q = 15 - d, q = 15 - 6 = 9.

There are 6 dimes and 9 quarters.

6 0
3 years ago
Graham's monthly bank statement showed the following deposits and withdrawals.
pychu [463]

Answer:

622.27

Step-by-step explanation:

- $87.45 + (- $24.76) + (-17.29) = $-129.5

$143.87 + $348.90 = $492.77

492.77 - (-129.5) = 622.27

8 0
2 years ago
Are 3:5and 1:2 equivalent
german

Answer:

No. They are not equivalent.

Step-by-step explanation:

\frac{3}{5} \neq  \frac{1}{2}

=> \frac{6}{10} \neq  \frac{5}{10}

Therefore, 3/5 and 1/2 are not equivalent.

Hoped this helped.

6 0
2 years ago
Read 2 more answers
Can the formula F=ma be a direct variation equation? If so, which variable would have to be held constant?
ANEK [815]
Yes it can be a direct variation.  it follows the form y = kx
The only variable that cannot be held constant is F, but we can hold the mass constant and vary the acceleration OR we can hold the acceleration constant and vary the mass.  Either one would work, but the easiest would be to vary the mass and hold the acceleration constant since we are all pulled by the same action gravity


6 0
2 years ago
3 3%4×2 4%5 anything with a % in between is a fraction
Andre45 [30]
10 1/2 I am pretty sure its right
8 0
3 years ago
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