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3 years ago

-5+4(7+k) please help with this equation!

Mathematics

2 answers:

Alex3 years ago

3 0

Answer:

4k+ 23

Step-by-step explanation:

Andreyy893 years ago

3 0

<h3>Answer</h3>

4k+23

<h3>Question Explanation:</h3>

-5 + 4 • (7 + k) equals 4k + 23

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The Statue of Liberty the Approximately 305 feet tall. The angle of elevation of a ship to the top of the statue is 23.7 degrees

kipiarov [429]

Answer:

695 feet.

Step-by-step explanation:

Please find the attachment.

Let x represent distance between ship and base of statue.

We have been given that the Statue of Liberty is approximately 305 feet tall. The angle of elevation of a ship to the top of the statue is 23.7 degrees. We are asked to find the distance between ship and base of statue.

We can see that angle of elevation forms a right triangle with base of statue and ship.

Now, we will use tangent to solve for x as:

$\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}$

$\text{tan}(23.7^{\circ})=\frac{305}{x}$

$x=\frac{305}{\text{tan}(23.7^{\circ})}$

$x=\frac{305}{0.438969309852}$

$x=694.80939\approx 695$

Therefore, the ship is approximately 695 feet away from the base of statue.

6 0

3 years ago

if p(x)=x*2-1 and q(x)=5(x-1),which expression is equivalent to (p-q)(x)?

umka2103 [35]

Answer:

$(p - q)(x) = (x -1) (x - 4)$

Step-by-step explanation:

Given

$p(x) = x^2 - 1$

$q(x) = 5(x - 1)$

Required

(p - q)(x)

This is represented as:

$(p - q)(x) = p(x) - q(x)$

$(p - q)(x) = x^2 - 1 - 5(x - 1)$

$(p - q)(x) = x^2 - 1 - 5x + 5$

Collec like terms

$(p - q)(x) = x^2 - 5x + 5 - 1$

$(p - q)(x) = x^2 - 5x + 4$

Expand

$(p - q)(x) = x^2 -4x - x + 4$

Factorize

$(p - q)(x) = x(x -4) - 1(x - 4)$

$(p - q)(x) = (x -1) (x - 4)$

6 0

3 years ago

Quadrilateral abcd has vertices A(4,0),B(3,3),C(-3,1) and D(-2,-2)

bonufazy [111]

Answer:

very easy

Step-by-step explanation:

First of all

made a distance between

and diagnals

If the all are equal means it is a square

if diagnols are different means it is rectangle

if diagnals are not equal means it is parallelogram

thats it try your best

you can do it

best of luck

6 0

2 years ago

A rock is thrown and follows the curve given by the equation d = -t2 + 4t + 5, where d is the distance in feet and t is the time

GaryK [48]

Answer:

5 seconds

Step-by-step explanation:

The relationship between "d" and "the ground" is not described. If we assume that "d" is distance above the ground, then the rock will hit the ground when d=0. This gives rise to the quadratic equation ...

-t^2 +4t +5 = 0

-(t -5)(t +1) = 0

t = 5 or t = -1 are solutions. Only the positive solution is useful.

The rock will hit the ground after 5 seconds.