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3 years ago

An equation parallel and perpendicular to 4x+5y=19

Mathematics

1 answer:

mestny [16]3 years ago

8 0

Answer:

An equation parallel to 4x + 5y = 19 would be y = -4/5x +12.

An equation perpendicular to 4x + 5y = 19 would be y = 5/4x + 10.

Step-by-step explanation:

The equation given represents a linear equation in Standard Form (Ax + By = C). Lines that are parallel to each other go the same direction and don't touch, so their slopes must be the same. However, lines that are perpendicular go in opposite directions and intersect, so their slopes must be the direct opposite of each other. In order to find the slope, you must first convert from the Standard Form given to Slope Intercept Form (y = mx +b). When you solve the given equation for 'y', you get: y = -4/5x + 19, where the slope = -4/5. To make a parallel equation, simply keep the same slope and choose a different y-intercept ('b'). To make a perpendicular equation, take the direct opposide of your slope 5/4 (positive) and choose a different y-intercept.

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Answer:

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3 years ago

From a boat on the lake, the angle of elevation to the top of a cliff 35 degrees 12'. If the base of the cliff is 2335 feet from

Valentin [98]

Answer:

Approximately 1641.5 feet High

Step-by-step explanation:

The angle of elevation is 35.12°

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To find the height of the cliff

Tan 35.12 = height/2335

0.703*2335 = height

1641.505 = height

Approximately 1641.5 feet.

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3 years ago

The Smith family and the Stewart family each used their sprinklers last summer. The water output rate for the Smith family's spr

avanturin [10]

The Smith family's and Stewart family's sprinkler was used 40 and 25 hours.

According to the statement

we have given that the Smith family's sprinkler was 25L per hour and

Stewart family's sprinkler was 30L per hour and The families used their sprinklers for a combined total of 65 hours, resulting in a total water output of 1750L.

And we have to find the How long was each sprinkler used.

So, For this purpose,

The given statements in the equation form become:

Let Smith family's sprinkler be x

Let Stewart family's sprinkler be y then

The equation become

x + y = 65 -(1)

25x + 30y = 1750 -(2)

Here we use the elimination method.

So, Multiply (1) by 25 and (2) by 1 then

25x + 25y = 1625

25x + 30y = 1750

Now eliminate x from the equations then

-5y = -125

y = 25

then x value becomes

x + y = 65

x + 25 = 65

x = 40.

So, The Smith family's and Stewart family's sprinkler was used 40 and 25 hours.

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2 years ago

If the cosine of one angle of a right-angled triangle is 0.7, find the third angle.

Over [174]

Answer:

the third angle of a right angled triangle is 0.7 is 0.8

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3 years ago

PLS HELP ASAP PLZ PLZ PLZ

KIM [24]

I am unsure about the very last problem but I can help with the first two

1) (y+1)+4

If we combine the numbers 1 and 4, we get +5 and can isolate the numbers from the variable.

This would give us

$y + 5 =$

2) (6*r)*7

remember that we do not have to explicitly state 6*r

Instead, we can write it as 6r

this helps us get rid of the parentheses

now we can write it as $6r * 7=$

I hope this helps!:)

6 0

3 years ago