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2 years ago

Given the equation y − 3 = 1/2 (x + 6) in point-slope form, identify the equation of the same line in standard form. )

Mathematics

1 answer:

Doss [256]2 years ago

4 0

Answer:

a: x − 2y = −12

Step-by-step explanation:

the standard form of a line is is usually given as Ax + By = C, so just by deduction you can tell that the correct answer is a.

If you want to do the procedure it would be:

y − 3 = 1/2 (x + 6)

y − 3 = 1/2 x + 3

y - 1/2 x = 3 + 3

y - 1/2 x = 6

(y - 1/2 x = 6) * 2 to get rid of the fraction

2y - x = 12 rearrenge the terms

x - 2y = -12

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Solve 5c − c + 10 = 34. <br> −6 <br> 6 <br> 11 <br> −11

natima [27]

Subtract 10 and collect terms to get the variable term by itself on the left.

... 4c = 24

Divide by the coefficient of the variable, 4.

... c = 6

The appropriate choice is the second one:

... 6

_____

You don't actually have to sove the equation to find the right answer. You just need to see which answer works.

-6: 5(-6) -(-6) +10 = -14 ≠ 34

6: 5(6) -(6) +10 = 34 . . . . . . . this answer works (you can stop here)

11: 5(11) -(11) +10 = 54 ≠ 34

-11: 5(-11) -(-11) +10 = -34 ≠ 34

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3 years ago

What is the distance between point A(-3,2) and point B(5,-1)

Gnoma [55]

Remember the distance formula

$S=\sqrt{(5+3)^{2}+(-1-2)^{2} }$

$S=\sqrt{8^{2}+(-3)^{2} }$

$S=\sqrt{64+9}$

$S=\sqrt{73}$

8 0

3 years ago

WIll mark BRAINLIST plz help

Pani-rosa [81]

F(-1) = 2(-1)^2 + 8(-1)
= 2(1) + (-8)
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3 0

2 years ago

The sum of consecutive integers 1,2,3,...,n is given by the formula 1/2n(n+1). How many consecutive integers, starting with 1, m

LuckyWell [14K]

1/2 * n * (n+1) = 1081

distribute

1/2 n^2 +1/2n -1081=0

factor out 1/2

1/2 (n^2 +n -2162) =0

multiply each side by 2

(n^2 +n -2162) =0

factor

(n-46) (n+47) =0

n=46, n=-47

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Answer 46

7 0

2 years ago

Find the surface area of the cube.

Mrac [35]

<h3><u>Given</u>:-</h3>

$\rightarrow$ Side(a) of the cube = $\sf{\frac{1}{3}ft}$ .

$\rightarrow$ Surface Area of the cube with side $\sf{\frac{1}{3}ft.}$

<h3><u>Formula Used</u>:-</h3>

$\rightarrow$ Surface area of cube = $\sf{6a^2}$

<h3><u>Solution</u>:-</h3>

$\rightarrow$ Surface area of cube = $\sf{6a^2}$ (putting the value of a from the above given)

$\rightarrow$ $\sf{=\:6×(\frac{1}{3})^2}$

$\rightarrow$ $\sf{=\:6×\frac{1}{9}}$

$\rightarrow$ $\sf{=\:\frac{6}{9}}$

$\rightarrow$ $\sf{=\:\frac{2}{3}ft^2}$

Therefore, surface area of the given square = $\sf{=\:\frac{2}{3}ft^2}$

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Hope it helps you:)

3 0

2 years ago

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