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2 years ago

1) Give an equation for the line which goes through (1,-5) and has slope m=-3.

Mathematics

1 answer:

defon2 years ago

7 0

Answer:

$y=-3x-2$

Step-by-step explanation:

Using $y-y_1=m(x-x_1)$ :

$y--5=-3(x-1)$

⇒ $y=-3x-2$

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2 years ago

Sean paints 8/15 of a fence in 1 hour. He paints 3/10 of the fence less in the second hour. What fraction of the fence did he pa

a_sh-v [17]

Answer: $\frac{3}{10}$

Step-by-step explanation:

Given

Sean paints $\frac{8}{15}$ of a fence in 1 hour

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So, fraction he paints in the second hour = $\frac{8}{15}-\frac{3}{10}=\frac{16-9}{30}=\frac{7}{30}$

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3 years ago

Determine whether a figure with the given vertices is a parallelogram. Use the method indicated.

aliya0001 [1]

Answer with explanation:

The coordinates of four points of Quadrilateral ABCD are

A(4, 5), B(–7, –10), C(–4, –9), D(7, 6)

$AB=\sqrt{(4+7)^2+(5+10)^2}\\\\AB=\sqrt{121+225}\\\\AB=\sqrt{346}\\\\BC=\sqrt{(-7+4)^2+(-10+9)^2}\\\\BC=\sqrt{9+1}\\\\BC=\sqrt{10}\\\\CD=\sqrt{(4+7)^2+(5+10)^2}\\\\CD=\sqrt{121+225}\\\\CD=\sqrt{346}\\\\DA=\sqrt{(7-4)^2+(6-5)^2}\\\\DA=\sqrt{9+1}\\\\DA=\sqrt{10}$

Slope between two points is given by

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\m_{1}=\frac{-10-5}{-7-4}\\\\=\frac{-15}{-11}\\\\m_{1}=\frac{15}{11}\\\\m_{2}=\frac{-9+10}{-4+7}\\\\m_{2}=\frac{1}{3}\\\\m_{3}=\frac{6+9}{7+4}\\\\m_{3}=\frac{15}{11}\\\\m_{4}=\frac{6-5}{7-4}\\\\m_{4}=\frac{1}{3}$

As slope of opposite sides are equal and length of Opposite sides are equal.So,the given Quadrilateral is a Parallelogram.

Option A

Yes; The opposite sides are congruent and have the same slope.

6 0

3 years ago