Algebric expressions formula

Mathematics

1 answer:

Arada [10]2 years ago

6 0

Answer:

a2 – b2 = (a – b)(a + b)

(a + b)2 = a2 + 2ab + b

a2 + b2 = (a + b)2 – 2ab

(a – b)2 = a2 – 2ab + b

That's all i know- rip TvT

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What the equation parallel to y=-1/5x +7 and containing the point(-10,-3)

Agata [3.3K]

The equation of line parallel to $y=-\frac{1}{5} x +7$ and containing the point(-10,-3) is $y=-\frac{1}{5}x-5$

Step-by-step explanation:

We need to write the equation parallel to $y=-\frac{1}{5} x +7$ and containing the point(-10,-3)

The standard form of point slope equation is:

$y=mx+b$

where m is slope and b is y-intercept

Comparing the given equation $y=-\frac{1}{5} x +7$ with standard form the slope is m= -1/5

Since the lines are parallel the slope of new line is m = -1/5

Now finding b (y-intercept)

Using slope m=-1/5 and point (-10,-3)

$y=mx+b\\-3=-\frac{1}{5}(-10)+b\\-3=2+b\\b=-3-2\\b=-5$

So, b= -5 and slope = -1/5 the equation of new line is:

$y = mx+b\\y=-\frac{1}{5}x-5$

So, The equation of line parallel to $y=-\frac{1}{5} x +7$ and containing the point(-10,-3) is $y=-\frac{1}{5}x-5$

Keywords: Point Slope form

Learn more about point slope form at:

#learnwithBrainly

7 0

3 years ago

The answer for (a) is 28 and the answer for (b) is 13 but I don’t know how to get the answer

denis-greek [22]

Answer:

Step-by-step explanation:

If Quan had 15 and Kaden had 3 times as much, then Kaden had 15(3) = 45. If he spent 10 then he had 35 left. The amount of money Quan had after his mom gave him some was 4/5 the amount of Kaden's 35 (let x = the amount of money Quan has after his mom gives him some):

$x=\frac{4}{5}(35)$ 35 divides by the 5 in the denominator 7 times, and 7 times 4 is 28. That's how you get your 28 in part a.