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2 years ago

If h(x) = -2x – 10, find h(-4). -2 -18 -3 -16

Mathematics

2 answers:

Furkat [3]2 years ago

5 0

Answer:

-2

Step-by-step explanation:

replace x with -4 in the h(x) function

h(x) = -2x-10 ➡ h(-4) = (-2)×(-4)-10 ➡8-10 = -2

Archy [21]2 years ago

4 0

Answer: -2

Step-by-step explanation:

so the original equation is

h(x) = -2x – 10,

but now we know that x =(-4).

so if we plug that into wherever there's an X we get

h(-4) = -2 x -4 – 10

so now we can solve, which is pretty easy

-2 x -4= 8

8 + -10 = -2

And voila we have the our answer -2

very easy

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An airplane travels 800 miles with the wind in the same of time it takes to travel 650 miles against the wind. What is the speed

SOVA2 [1]

Answer:

90 mph

Step-by-step explanation:

Against wind DATA:

distance = 600 miles ; time = 5 hrs. ; rate = 600/5 = 120 mph

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2 years ago

A person stands 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 meters

In-s [12.5K]

Answer:

Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.

Step-by-step explanation:

Given that,

A person stand 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 m/s.

From Pythagorean Theorem,

(The distance between car and person)²= (The distance of the car from intersection)²+ (The distance of the person from intersection)²+

Assume that the distance of the car from the intersection and from the person be x and y at any time t respectively.

∴y²= x²+10²

$\Rightarrow y=\sqrt{x^2+100}$

Differentiating with respect to t

$\frac{dy}{dt}=\frac{1}{2\sqrt{x^2+100}}. 2x\frac{dx}{dt}$

$\Rightarrow \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}. \frac{dx}{dt}$

Since the car driving towards the intersection at 13 m/s.

so, $\frac{dx}{dt}=-13$

$\therefore \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}.(-13)$

Now

$\therefore \frac{dy}{dt}|_{x=24}=\frac{24}{\sqrt{24^2+100}}.(-13)$

$=\frac{24\times (-13)}{\sqrt{676}}$

$=\frac{24\times (-13)}{26}$

= -12 m/s

Negative sign denotes the distance between the car and the person decrease.

Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.

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2 years ago

Find the equation of the linear function represented by the table below in slope-

pav-90 [236]

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Step-by-step explanation:

Using the values $x=-2, y=4$ and $x=1, y=-5$ , the slope is $\frac{-5-4}{1-(-2)}=-3$ .

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7 months ago

EXTRA POINTS :) what is the value of x??

vlada-n [284]

Answer:

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Step-by-step explanation:

corresponding interior angles are supplementary, meaning they have to add up to 180 degrees so

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10x = 170 divide each side by 10

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2 years ago