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2 years ago

Find an equation for the line that passes through the points (-2,-6) and (6,-4)

1 answer:

6 0

Slope of line
m= (y2-y1)/(x2-x1)
=(-4--6)/(6--2)
=2/8
=1/4

Line in two point form
(y-y1)=m(x-x1)
y--2=(1/4)(x-6)
y+2=(1/4)(x-6)
simplify
4(y+2)=x-6 =>
x-4y-14=0
Alternatively, use the slope intercept form:
y--2=(1/4)(x-6) =>
y=(1/4)x - 3/2-2 =>
y=(1/4)x -7/2

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A rectangular container has a base that is 12 inches long and 8 inches wide. The container is filled with water to a height of 6

valina [46]

Answer: the length of one edge of the square base of the second container is 6 inches.

Step-by-step explanation:

The formula for determining the volume of a rectangular container is expressed as

Volume = length × width × height

Considering the first container,

Length = 12 inches

Width = 8 inches

Height to which the water is filled is 6 inches.

Therefore, volume of water in the container is

12 × 8 × 6 = 576 inches³

Considering the second container,

Height of water = 16 inches

Let L represent the length of the square base. Then the area of the square base is L²

Volume of water would be 16L²

Since the water in the first container was poured into the second container, then

16L² = 576

L² = 576/16 = 36

L = √36

L = 6 inches

7 0

3 years ago

Name the figure. Select all answers that apply.

elena-s [515]

Answer:

The answer is Plane P

Step-by-step explanation:

The reason for the answer is because a closed, two-dimensional or flat figure is called a plane shape. Different plane shapes have different attributes, such as the numbers of sides or corners. A side is a straight line that makes part of the shape, and a corner is where two sides meet.

8 0

2 years ago

Write an equation of the line that passes through (1,2) and is parallel to the line y=-5x+4

valentinak56 [21]

Answer:

The equation of the Parallel line to the given line is 5x+y-7=0

Step-by-step explanation:

Explanation:-

Given that the line y = - 5x+4 and point (1,2)

The equation of the Parallel line to the given line is ax+by+k=0

Given straight line 5x + y -4 =0

The equation of the Parallel line to the given line is 5x+y+k=0

This line passes through the point (1,2)

5x+y+k=0

5(1)+2+k=0

⇒ 7+k=0

k =-7

Final answer:-

The equation of the Parallel line to the given line is 5x+y-7=0

7 0

2 years ago

My sister needs help ( casandra0606 )

AleksandrR [38]

The formula for volume of a prism is v=(1/2bh)h so it would be
(1/2 ×7.8×4)×9= 140.4

5 0

3 years ago

The study of fluids

Elenna [48]

Replace m with 46x10^4 in the equation and solve.

0.036(46x10^4)^3/4 = 635.87

Round to 636

The answer is A.

6 0

2 years ago