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2 years ago

Two points A(0, -4), B(2, -1) determine line AB. What is the equation of the line AB?

Mathematics

1 answer:

Slav-nsk [51]2 years ago

4 0

Answer:

Answer: y=3/2x-4

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Joey borrowed $200 at an interest rate of 2%. He paid $16 in interest. Find the amount of time for which Joey borrowed the money

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Answer:25 years

Step-by-step explanation:

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3 years ago

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Two stars are 7.644 x 1014 miles apart. Express this

vagabundo [1.1K]

Answer:

Multiply 1014 by 6.444 and you should get

Step-by-step explanation:

6534. 216 x

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2 years ago

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3 years ago

Evaluate f(x) = -4x + x2 + 16 for f(-4).

kipiarov [429]

Answer:

$f(-4)=48$

Step-by-step explanation:

<u>Value of functions</u>

To evaluate a function for a given value of x, we replace the x for the value and perform the resulting operations.

The given function is (corrected):

$f(x)=-4x+x^2+16$

We need to find f(-4), so we use x=-4:

$f(-4)=-4*(-4)+(-4)^2+16$

$f(-4)=16+16+16$

$\boxed{f(-4)=48}$

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3 years ago

A safety regulation states that the maximum angle of elevation for a rescue ladder is 72°. A fire department's longest ladder is

Julli [10]

Answer:

The maximum safe rescue height is 104.6 feet above the height of the ground.

Step-by-step explanation:

Consider a triangle ABC where C is the point where the rescue ladder is standing and AB be the building and Ladder making an angle of 72° as shown.

We have to find the height of the building.

Let x be the height of building

Using Trigonometric ratio,

$\sin C=\frac{\text{Perpendicular}}{\text{Hypotenuse}}$

$\sin 72^{\circ}=\frac{AB}{BC}$

$\sin 72^{\circ}=\frac{x}{110}$

$x=110 \times \sin 72^{\circ}$

$x=104.6$

So, the maximum safe rescue height is 104.6 feet above the height of

the ground.

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3 years ago

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