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2 years ago

Find the slope of the line passing through the points (-9, -2) and (5,-2).

Mathematics

1 answer:

alexandr402 [8]2 years ago

3 0

Answer:

Step-by-step explanation:

(x₁ , y₁) = (-9, -2)

(x₂ , y₂) = ( 5 , -2)

In these two points, there is no change in the y co-ordinates. So the line is parallel to x-axis.

slope of line parallel to x-axis = 0

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Trigonometry

schepotkina [342]

The area of the triangle ABC is 207.5 square units.

Explanation:

The measurements of the sides of the triangle are $AB=19$ , $AC=24$ and $m\angle A=65^{\circ}$

We need to determine the area of the triangle ABC.

<u>Area of the triangle:</u>

The area of the triangle can be determined using the formula,

${Area}=\frac{1}{2} b c \sin A$

where $b=19$ , $c=24$ and $m\angle A=65^{\circ}$

Substituting these values in the above formula, we get,

${Area}=\frac{1}{2}(19)(24) \sin 65^{\circ}$

Simplifying the values, we get,

${Area}=\frac{1}{2}(456) (0.91)$

${Area}=\frac{1}{2}(414.96)$

${Area}=207.48$

Rounding off to the nearest tenth, we get,

${Area}=207.5$

Thus, the area of the triangle ABC is 207.5 square units.

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