5x-2y=2 slope intercept form?

Mathematics

1 answer:

Nata [24]3 years ago

6 0

Answer:

$y = \frac{5}{2}x-1$

Step-by-step explanation:

Slope-intercept form is represented by the formula $y = mx + b$ . So, to place the given equation in slope-intercept form, isolate the y on the left side and arrange the terms in that matching order. Remember, whatever you do to one side, do to the other:

$5x-2y = 2\\-2y = -5x + 2\\\frac{-2}{-2}y = \frac{-5}{-2} x+\frac{2}{-2} \\y = \frac{5}{2} x-1$

So, the slope-intercept form is $y = \frac{5}{2}x-1$ .

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A zip line starts 28 feet in the air and

goldfiish [28.3K]

Given:

A zip line goes from 28 feet to 11 feet in the air. The angle of depression is 85°.

To find:

The length of the zip line where there is no rider.

Solution:

A right-angled triangle can be formed using the given data.

The difference in height between the start and end of the zipline is $28-11=17$ . The angle of the triangle is 85°.

Assume the zip line is x feet long.

The adjacent side of the triangle measures 17 feet, the hypotenuse of the triangle measures x feet, and the angle of the triangle is 85°.

To determine x, we calculate the cos of the given angle.

$cos \theta = \frac{adjacentside}{hypotenuse} .$

$cos 85 = \frac{17}{x} , x = \frac{17}{cos85}, cos85= 0.0871.$

$x = \frac{17}{0.0871} = 195.1779.$

Rounding this off, we get the length of the zip line when there is no rider is 195.18 feet long.

7 0

3 years ago

Which property is illustrated by the statement (4+6.1)+7=4+(6.1+7)

Slav-nsk [51]

Answer: It is an associative property of addition.

Step-by-step explanation:

Since we have given that

(4+6.1)+7=4+(6.1+7)

As we know that "Associative property":

$(a+b)+c=a+(b+c)$

Associativity in addition means that adding three numbers and then change the order of numbers and then add it again, we will get the same answer.

So,

$(4+6.1)+7=10.1+7=17.1\\\\Similarly,\\\\4+(6.1+7)=4+13.1=17.1$