Slope of -2 through point (5,2)

Mathematics

1 answer:

Sunny_sXe [5.5K]3 years ago

3 0

Answer:

Step-by-step explanation:

Through -3 , -2 slope = -2/3

y1 = -2 & x1 = -3 and m = -2/3

y - y1 = m(x - x1)

y - (-2) = -2/3(x - (-3))

y + 2 = -2/3(x + 3)

Multiply each term by 3

3y + 6 = -2(x + 3)

3y + 6 = -2x - 6

3y = -2x - 6 - 6

3y = -2x - 12

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WHAT IS 3/8 DIVIDED BY 1/2

serious [3.7K]

Answer: 3/4

Step-by-step explanation: Dividing by a fraction is the same as multiplying by its reciprocal. In other words, we can change the divison sign to multiplication and flip the second fraction.

So here, 3/8 divided by 1/2 can be rewritten as 3/8 × 2/1.

Now we are simply multiplying fractions so we multiply across the numerators and we multiply across the denominators.

So we have 3 × 2 which is 6 and 8 × 1 which is 8. Since 6/8 is not in lowest terms, we divide the numerator and the denominator by the greatest common factor of 6 and 8 which is 2 and we get the equivalent fraction 3/4.

Therefore, 3/8 divided by 1/2 is 3/4.

7 0

3 years ago

Please help me with this math question

scZoUnD [109]

Answer:

Step-by-step explanation:

$\bold{METHOD\ 1}\\\\6d=8e\qquad\text{divide both sides by 6}\\\\d=\dfrac{8}{6}e\to d=\dfrac{4}{3}e\\\\\text{Substitute it and}\ f=2e\ \text{to the ratio}\ d:e:f:\\\\\dfrac{4}{3}e:e:2e\qquad\text{cancel}\ e\\\\\dfrac{4}{3}:1:2\qquad\text{multiply by 3}\\\\\huge\boxed{4:3:6}$

$\bold{METHOD\ 2}\\\\6d=8e\qquad\text{divide both sides by 6}\\\\d=\dfrac{8}{6}e\qquad\text{divide both sides by}\ e\neq0\\\\\dfrac{d}{e}=\dfrac{4}{3}\to d:e=4:3\\\\2e=f\qquad\text{divide both sides by 2}\\\\e=\dfrac{f}{2}\to e=\dfrac{1}{2}f\qquad\text{divide both sides by}\ f\neq0\\\\\dfrac{e}{f}=\dfrac{1}{2}\to e:f=1:2\\\\\text{We have}\ d:e=4:3\ \text{and}\ e:f=1:2.$

$\text{We know}\ \dfrac{1}{2}=\dfrac{1\cdot3}{2\cdot3}=\dfrac{3}{6}\\\\\text{threfore}\ e:f=3:6\\\\\text{Now we have}\\\\\left\begin{array}{ccc}d:e=4:3\\e:f=3:6\end{array}\right\}\large{\boxed{d:e:f=4:3:6}}$