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3 years ago

Find the slope of the line passing through the points , −8−3 and , −34 .

1 answer:

5 0

Slope of the line passing through two points P=(x1,y1) and Q=(x2,y2) is given by m=y2−y1/x2−x1.

We have that x1=−8, y1=−3, x2=−3, y2=4.

Plug given values into formula for slope: m=(4)−(−3)/(−3)−(−8)=7/5.

Now y-intercept is b=y1−m⋅x1 .

b=−3−(7/5)⋅(−8)=41/5.

Finally, equation of the line can be written in the form y=mx+b.

y=7/5x+41/5

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An airplane is flying from Redville to leek.The airplane flies 50 miles East and then 180 miles South .how far is leek from Redv

r-ruslan [8.4K]

Answer:

230

Step-by-step explanation:

7 0

3 years ago

291.87 irrational or rational

aliina [53]

291.87 is rational since the last (decimal) numbers aren't repeating.
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4 0

3 years ago

Find the exact circumference of a circle with diameter equal to 8 ft. 8 ft. 16 ft. 64 ft.

maria [59]

ANSWER

8π ft

EXPLANATION

The circumference of a circle is calculated using the formula C=πd.

Where d=8 is the diameter of the circle.

We substitute d=8 into the formula to obtain,

C=8π ft.

Because we are looking for the exact circumference, we leave the answer in terms of π.

6 0

3 years ago

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the ages of amit and archana are in ratio of 4:5 if amit age is 4 years 8 month old.find the age of archana

xxTIMURxx [149]

For easier calculation,
convert 4years 8months into months. This would give you 56months.
Amit is 56months old.
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1 unit=56/4
5unit=56/4 ×5(simplify)

7 0

3 years ago

Which red triangle shows a 90° counterclockwise rotation of the blue triangle? Check all that apply. On a coordinate plane, a bl

Tcecarenko [31]

Question:

1) Blue triangle points; (-1, 4), (-5, 4), and (-1, 1)

Red triangle points; (-4, -1), (-1, -1). and (-4, -5)

2) Blue triangle points (1, 1), (4, 5), (4, 1)

Red triangle points; (-1, 1), (-1, 4). and (-5, 4)

3) Blue triangle points (0, 1), (4, 4), (4, 1)

Red triangle points; (-4, 1), (-4, 4). and (0, 1)

4) Blue triangle points (-5, 4), (-1, 4), (-1, 1)

Red triangle points; (1, 1), (4, 1). and (4, 5)

5) Blue triangle points (-2, 5), (4, 5), (4, 1)

Red triangle points; (-1, 4), (-5, 4). and (-5, -2)

Answer:

The correctly rotated red triangles are those of (1), (2), and (5)

Step-by-step explanation:

In a 90° counterclockwise rotation, every x and y points of the original triangle are switched while the y is turned negative, as shown in the following equation;

(x, y) to (-y, x)

Therefore, the triangles that undergo a 90° counterclockwise rotation are as follows;

1) Blue triangle points; (-1, 4), (-5, 4), and (-1, 1)

Red triangle points; (-4, -1), (-1, -1). and (-4, -5)

(-1, 4) → (-4, -1)

(-5, 4) → (-4, -5)

(-1, 1) → (-1, -1)

Correctly rotated 90° counterclockwise

2) Blue triangle points (1, 1), (4, 5), (4, 1)

Red triangle points; (-1, 1), (-1, 4). and (-5, 4)

(1, 1) → (-1, 1)

(4, 5) → (-5, 4)

(4, 1) → (-1, 4)

Correctly rotated 90° counterclockwise

3) Blue triangle points (0, 1), (4, 4), (4, 1)

Red triangle points; (-4, 1), (-4, 4). and (0, 1)

(0, 1) → (0, 1) ≠ (-1, 0)

(4, 4) → (-4, 4)

(4, 1) → (-4, 1)

Not correctly rotated 90° counterclockwise

4) Blue triangle points (-5, 4), (-1, 4), (-1, 1)

Red triangle points; (1, 1), (4, 1). and (4, 5)

(-5, 4) → (4, 5) ≠ (-4, -5)

(-1, 4) → (4, 1)

(-1, 1) → (1, 1)

Not correctly rotated 90° counterclockwise

5) Blue triangle points (-2, 5), (4, 5), (4, 1)

Red triangle points; (-1, 4), (-5, 4). and (-5, -2)

(-2, 5) → (-5, -2)

(4, 5) → (-5, 4)

(4, 1) → (-1, 4)

Correctly rotated 90° counterclockwise.

8 0

3 years ago

Read 2 more answers