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2 years ago

9

What is the equation of a line that passes through (-2,1) and is parallel to y=3x-4

1 answer:

Rama09 [41]2 years ago

3 0

If a line is parallel to another, the slopes of both lines are the same. So for this problem, you can infer that the slope of the line you're trying to find is 3.

To find the actual equation of the line, you can use the given coordinates and plug them into the point slope form:

y - y1 = m(x - x1)

plug the given y coordinate into y1 and the given x coordinate into x1. m is the slope, so plug in 3 for m.

y - 1 = 3(x +2) Use distributive property for right side of equation

y - 1 = 3x + 6 add 1 to both sides to cancel -1 on left side of equation and isolate y

Equation of line: y = 3x + 7

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2 years ago

Expand and simplify 5(2x+1)-2(3x-6)

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Step-by-step explanation:

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2 years ago

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2 years ago

Mary is flying a kite and has let out 50 yards of kite string. Mary’s kite is directly above Erika.

ch4aika [34]

The distance of Erika from kite directly is 35.71 yards

Step-by-step explanation:

Considering the given situation as a right triangle with string as hypotenuse and the distance between both girls as base

So,

$h = 50\ yards\\b = 35\ yards$

As the triangle is a right triangle, we can use pythagoras theorem to solve this problem.

$h^2 = b^2 + p^2\\p^2 = h^2 - b^2\\p^2 = (50)^2 - (35)^2\\p^2 = 2500-1225\\p^2 = 1275\\\sqrt{p^2} = \sqrt{1275}\\p = 35.707\ yards$

Rounding off to nearest hundredth

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3 0

2 years ago

Evaluate: <br> (4/25)^1/2 in fraction

algol13

Answer:

As

$\left(\frac{4}{25}\right)^{\frac{1}{2}}=\frac{2}{5}$

Therefore, option C is true.

Step-by-step explanation:

Given the expression

$\left(\frac{4}{25}\right)^{\frac{1}{2}}$

as

$\mathrm{Apply\:exponent\:rule}:\quad \left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}$

so the expression becomes

$\left(\frac{4}{25}\right)^{\frac{1}{2}}=\frac{4^{\frac{1}{2}}}{25^{\frac{1}{2}}}$

$=\frac{4^{\frac{1}{2}}}{25^{\frac{1}{2}}}$

$=\frac{2}{25^{\frac{1}{2}}}$

$=\frac{2}{5}$

Hence,

$\left(\frac{4}{25}\right)^{\frac{1}{2}}=\frac{2}{5}$

Therefore, option C is true.

3 0

2 years ago

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