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2 years ago

put the following equation of a line into slope-intercept form, simplifying all fractions 16x - 4y = -20

Mathematics

1 answer:

attashe74 [19]2 years ago

8 0

Answer:

y = 4x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Given

16x - 4y = - 20 ( subtract 16x from both sides )

- 4y = - 16x - 20 ( divide terms by - 4 )

y = 4x + 5 ← in slope- intercept form

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A surveyor wishes to determine the height of a mountain. At a given position he measures the angle of elevation to the top as 43

Usimov [2.4K]

Answer:

4,486.93 ft

Step-by-step explanation:

Let 'h' be the height of the mountain and 'x' be the horizontal distance between the first position measured and the top of the mountain.

Two right triangles can be modeled such that their tangent relationships yield:

$tan(43.66) = \frac{h}{x}\\tan(38.2) = \frac{h}{x+1000}$

Solving the linear system:

$x= \frac{h}{tan(43.66)}\\x = \frac{h}{tan(38.2)} -1000\\\frac{h}{tan(43.66)}=\frac{h}{tan(38.2)} -1000\\1000 = 0.222869*h\\h=4,486.93\ ft$

The mountain is 4,486.93 ft high.

7 0

2 years ago

Which best represent the solution for the inequality shown? x−2−3≤5

Murljashka [212]

Answer:

x≤10

Step-by-step explanation:

7 0

3 years ago

what is the volume of a cylinder in cubic cm with a height of 9cm and a base diameter of 16cm round to the nearest tenths place

salantis [7]

So 9 x 16 =?? So u have to times those and u should get the answer

3 0

2 years ago

1. Determine which of the congruency shortcuts can be used to prove that point

Greeley [361]

Answer:

SSS

Step-by-step explanation:

it shows that all three sides are congruent by the congruency lines

it does not show any angles, and it does not show only one or two sides are congruent

3 0

3 years ago

A professor wants to award prizes for 1st, 2nd, 3rd, 4th and 5th in the class of 30. In how many ways can the prizes be awarded

aniked [119]

Answer:

$Selection = 17100720\ ways$

Step-by-step explanation:

Given

$Students = 30$

$Positions = 5$ i.e. first to fifth

Required

Determine number of selection

1st position = Any of the 30 students

2nd position = Any of the 29 students

3rd position = Any of the 28 students

4th position = Any of the 27 students

5th position = Any of the 26 students

Number of selection is then calculated as:

$Selection = 30 * 29 * 28 * 27 * 26$

$Selection = 17100720\ ways$

8 0

3 years ago