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3 years ago

I cant figure out how to do this question plz help!

Mathematics

1 answer:

balandron [24]3 years ago

4 0

Answer:

$slope (m) = \frac{1 - (-5)}{2 - (-1)}$

$= \frac{1 + 5}{2 + 1}$

$= \frac{6}{3} = 2$

Step-by-step explanation:

Find the slope (m) using the two points given, (-1, -5) and (2, 1):

$slope (m) = \frac{rise}{run} = \frac{y_2 - y_1}{x_2 - x_1}$

Let,

$(-1, -5) = (x_1, y_1)$

$(2, 1) = (x_2, y_2)$

Plug in the values into the equation:

$slope (m) = \frac{1 - (-5)}{2 - (-1)}$

$= \frac{1 + 5}{2 + 1}$

$= \frac{6}{3} = 2$

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to find the distance between a point x and an inaccessible point z, a line segment xy is constructed. measurements show that xy

marshall27 [118]

Answer:

$\approx \bold{602\ m}$

Step-by-step explanation:

Given the following dimensions:

XY=966 m

$\angle XYZ$ = 38°24', and

$\angle YZX$ = 94°6'

To find:

Distance between points X and Z.

Solution:

Let us plot the given values.

We can clearly see that it forms a triangle when we join the points X to Y, Y to Z and Z to X.

The $\triangle XYZ$ has following dimensions:

XY=966 m

$\angle XYZ$ = 38°24', and

$\angle YZX$ = 94°6'

in which we have to find the side XZ.

Kindly refer to the image attached.

Let us use the Sine rule here:

As per Sine Rule:

$\dfrac{a}{sinA} = \dfrac{b}{sinB} = \dfrac{c}{sinC}$

Where

a is the side opposite to $\angle A$

b is the side opposite to $\angle B$

c is the side opposite to $\angle C$

$\dfrac{XZ}{sin\angle Y} = \dfrac{XY}{sin\angle Z}\\\Rightarrow \dfrac{966}{sin94^\circ6'} = \dfrac{XZ}{sin38^\circ24'}\\\Rightarrow XZ=\dfrac{966}{sin94^\circ6'} \times sin38^\circ24'\\\Rightarrow XZ=\dfrac{966}{0.997} \times 0.621\\\Rightarrow XZ=601.69 \m \approx \bold{602\ m}$