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Andrei [34K]
2 years ago
11

Write the equation of the line for a line that passes through (-2,-4) and (-1, -1).

Mathematics
1 answer:
Bas_tet [7]2 years ago
3 0

Answer:

y = 3x+2

Step-by-step explanation:

First find the slope using the slope formula

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

   = ( -1 - -4)/(-1 - -2)

   = (-1 +4)/ (-1 +2)

   = 3/1

  = 3

The slope intercept formula is

y = mx+b where m is the slope and b is the y intercept

y = 3x+b

Using the point (-1,-1) and substituting into the equation

-1 = 3(-1)+b

-1 = -3+b

-1+3 = b

2 = b

y = 3x+2

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Mark runs back and forth on a football field for a total of 3000 yards. How many miles did Mark run to the nearest tenth of a mi
gizmo_the_mogwai [7]

Answer:

1.7 miles.

Step-by-step explanation:      

We have been given that Mark runs back and forth on a football field for a total of 3000 yards.

Since we know that 1 mile equals to 1760 yards. To find the number of miles Mark ran we will divide 3000 yards by number of yards in one mile (1760).

\text{ Mark ran}=\frac{3000\text{ yards}}{1760\frac{\text{yards}}{\text{mile}}}

\text{ Mark ran}=\frac{3000\text{ yards}}{1760}\times \frac{\text{miles}}{\ext{yards}}

After cancelling out yards from numerator and denominator we will get,

\text{ Mark ran}=\frac{3000}{1760} \text { miles}}

\text{ Mark ran}=1.7045454545454545\text{ miles}}\approx 1.7\text { miles}}

Therefore, Mark ran 1.7 miles on the football field.          

5 0
3 years ago
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A parallelogram is shown below:
nordsb [41]

9514 1404 393

Answer:

  A.  2 square feet

  B.  draw a diagonal; 1 square foot

Step-by-step explanation:

A. The area of a parallelogram is given by the formula ...

  A = bh

Here the base (b) is 3 feet, and the height (h) is 2/3 ft. The area is ...

  A = (3 ft)(2/3 ft) = 2 ft^2 . . . . area of the parallelogram

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B. <em>Drawing a diagonal</em> (AC or BD) will divide the figure into two congruent triangles. Each triangle has the same base and height as the original parallelogram. The area of one of the triangles is given by ...

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7 0
2 years ago
If an ant runs randomly through an enclosed
liraira [26]
The area of a circle is π (radius²)

The area of the outer (2-ft) circle is π (2²) = 4 π square feet.

The area of the inner (1-ft) circle is π (1²) = 1 π square feet.

The inner circle covers 1/4 of the area of the outer circle.

So if the ant wanders around totally aimlessly and randomly, and there's no way to
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That's choice c).

4 0
3 years ago
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