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3 years ago

What is the slope of the line through (-7.-2) and (-6,7)

Mathematics

2 answers:

bija089 [108]3 years ago

8 0

Answer:

$\boxed {\tt m=9}$

Step-by-step explanation:

The slope formula is:

$m=\frac{y_2-y_1}{x_2-x_1}$

where (x₁, y₁) and (x₂, y₂) are the points the line passes through.

The points given are: (-7,-2) and (-6,7). Therefore,

$x_1= -7 \\y_1= -2 \\x_2=-6 \\y_2= 7$

Substitute the values into the formula.

$m=\frac{7--2}{-6--7}$

$m=\frac{7+2}{-6+7}$

Solve the numerator by adding 7 and 2.

$m=\frac{9}{-6+7}$

Solve the numerator by adding 7 to -6.

$m=\frac{9}{1}$

Divide 9 by 1.

$m=9$

The slope of the line is 9.

Xelga [282]3 years ago

5 0

Answer:

gradient = 9

Step-by-step explanation:

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3 years ago

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Please help: Find the volume of the solid. Use 3.14 for π.

Kazeer [188]

Answer:

The volume of the solid is 420m³

Step-by-step explanation:

The area of any pyramid is "1/3 · B · h", where B is the area of the base, and h is the height.

Knowing this we just need to solve for a couple of things.

First, and the easiest is the height of the triangle which (thankfully) is given to us. The height is 15m, which plus one number into our equation.

1/3 · B · 15

Second, we need to find the area of the base of the pyramid. That's done easily by finding the area of a triangle ( $\frac{base * height}{2}$ → $\frac{24*7}{2}$ → $\frac{168}{2}$ → $84$ ) giving us 84 units. This puts another number into our equation.