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2 years ago

What is the slope of a line that contains the points (1 -2) and (4, -3).

Mathematics

1 answer:

Naddika [18.5K]2 years ago

4 0

Answer:

$-\frac{1}{3}$

Step-by-step explanation:

Use the definition of slope:

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

Replace the values in the equation and solve:

$m=\frac{-3-(-2)}{4-1} \\m=\frac{-1}{3}\\m=-\frac{1}{3}$

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3 years ago

In ΔWXY, x = 680 inches, w = 900 inches and ∠W=157°. Find all possible values of ∠X, to the nearest degree.

ikadub [295]

Given:

In ΔWXY, x = 680 inches, w = 900 inches and ∠W=157°.

To find:

The all possible values of ∠X, to the nearest degree.

Solution:

Law of Sines:

$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$

For ΔWXY,

$\dfrac{w}{\sin W}=\dfrac{x}{\sin X}=\dfrac{y}{\sin Y}$

Now,

$\dfrac{w}{\sin W}=\dfrac{x}{\sin X}$

$\dfrac{900}{\sin (157^\circ)}=\dfrac{680}{\sin X}$

$900\sin X=680\sin (157^\circ)$

$\sin X=\dfrac{680}{900}\sin (157^\circ)$

$\sin X=0.295219$

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$X=17.17067$

$X\approx 17$

Therefore, the value of ∠X is 17 degrees.

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3 years ago

If the distance covered by an object in time t is given by s(t)=t^2+5t , where s(t) is in meters and t is in seconds, what is th

alisha [4.7K]

Answer:

E. 44 meters

Step-by-step explanation:

The function that models the distance covered by the object is

$s(t)=t^2+5t$

where s(t) is in meters and t is in seconds.

The distance covered by the object after 1 second is

$s(1)=1^2+5(1)=6m$

The distance covered by the object after 1 second is

$s(1)=5^2+5(5)=50m$

The distance covered between 1 second and 5 seconds is

50-6=44m

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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