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viva [34]
3 years ago
14

Write the equation of the line that goes through each set of points------ (-1.6),(3-,2)

Mathematics
1 answer:
Maksim231197 [3]3 years ago
3 0

Answer:

The equation that goes through this set of points is y = -x + 5

Step-by-step explanation:

In order to find this, we need to start by finding the slope. For that we use the slope formula.

m(slope) = (y2 - y1)/(x2 - x1)

m = (6 - -2)/(-1 - 3)

m = 4/-4

m = -1

Now that we have this, we can use the slope and a point in point-slope form to get the equation.

y - y1 = m(x - x1)

y - 6 = -1(x - -1)

y - 6 = -1(x + 1)

y - 6 = -x - 1

y = -x + 5

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1. The diagonal of a quadrilateral
zalisa [80]

Consider the length of diagonal is 8.5 cm instead of 8.5 m because length of perpendiculars are in cm.

Given:

Length of the diagonal of a quadrilateral = 8.5 cm

Lengths  of the perpendiculars dropped on  it from the remaining opposite  vertices are 3.5 cm and 4.5 cm.

To find:

The area of the quadrilateral.

Solution:

Diagonal divides the quadrilateral in 2 triangles. If diagonal is the base of both triangles then the lengths  of the perpendiculars dropped on  it from the remaining opposite  vertices are heights of those triangles.

According to the question,

Triangle 1 :  Base = 8.5 cm and Height = 3.5 cm

Triangle 2 :  Base = 8.5 cm and Height = 4.5 cm

Area of a triangle is

Area=\dfrac{1}{2}\times base \times height

Using this formula, we get

Area(\Delta 1)=\dfrac{1}{2}\times 8.5\times 3.5

Area(\Delta 1)=14.875

and

Area(\Delta 2)=\dfrac{1}{2}\times 8.5\times 4.5

Area(\Delta 2)=19.125

Now, area of the quadrilateral is

Area=Area(\Delta 1)+Area(\Delta 2)

Area=14.875+19.125

Area=34

Therefore, the area of the quadrilateral is 34 cm².

6 0
2 years ago
Write a decimal equation that has a product of 3.15 do not use one as a factor
Marrrta [24]
3+ 0.15= 3.15?
or
3x-0.45=9?
Hope this helps. :)
3 0
3 years ago
An airplane traveling from chicago to LA can fly at a rate of 6 miles per minute,how many hours does it take to travel 1,200 mil
Allisa [31]

Answer:

about 3 hours and 33 mins

Step-by-step explanation:

8 0
2 years ago
Item 5 A farmer plants corn and wheat on a 180-acre farm. The farmer wants to plant three times as many acres of corn as wheat.
valina [46]

Answer:


Step-by-step explanation:

180/4 is 45 so you could say the farmer plants 135 Acers of corn and only 45 of wheat

3x+y=180  

Hope this helped.

8 0
3 years ago
Sarah has a collection of nickels, dimes, and quarters worth $28.75. She has 10 more dimes than nickels and twice as many quarte
Ymorist [56]

Answer:

Step-by-step explanation:

Write an equation for each statement:

:

"Sarah has a collection of nickels, dimes, and quarters worth $15.75."

.05n + .1d + .25q = 15.75

:

"She has 10 more dimes than nickels"

d = n + 10

:

"twice as many quarters as dimes."

q = 2d

:

How many coins of each kind does she have?

:

Take the 2nd equation and arrange it so n is in terms of d also

n + 10 = d

n = (d - 10)

:

In the 1st equation substitute (d-10) for n and 2d for q:

.05n + .1d + .25q = 15.75

:

.05(d-10) + .1d + .25(2d) = 15.75

:

.05d - .5 + .1d + .5d = 15.75

:

.65d - .5 = 15.75

:

.65d = 15.75 + .5

:

.65d = 16.25

:

d = 16.25/.65

:

d = 25 dimes

:

Remember the statement "twice as many quarters as dimes."

q = 2(25)

q = 50 quarters

:

The statement "She has 10 more dimes than nickels"

n = 25 - 10

n - 15 nickels

:

Check our solutions

.05(15) + .1(25) + .25(50) =

.75 + 2.50 + 12.50 = 15.75 proves our solutions

8 0
2 years ago
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