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Natalija [7]
2 years ago
8

What is the equation of the line perpendicular to y = -4x + 3 that goes through (8, -3)?

Mathematics
1 answer:
maks197457 [2]2 years ago
3 0
Perpendicular slope: opposite and reciprocal
-4 opposite and reciprocal = 1/4
Y = 1/4x + b
Plug in point
-3 = 1/4(8) + b
-3 = 2 + b, b = -5
Solution: y = 1/4x - 5
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A field is a rectangle with a perimeter of 1040 feet. The length is 300 feet more than the width. Find the width and the length
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Answer:

Width = 110 ft

Step-by-step explanation:

width = x

length = x + 300

To find the width, we use the formula for perimeter, substituting 1040 for perimeter, x + 300 for length, and x for width:

P=2(l+w)\\\\1040=2[(x+300)+x]

Combine like terms inside the brackets:

1040=2(2x+300)

Distribute the 2 within the parentheses:

1040=4x+600

Subtract 600 from both sides:

440=4x

Divide both sides by 4:

110=x

Therefore, the width is 110 ft and the length is 410 ft. To verify, we can check that the perimeter equals 1,040 ft.

P=2(l+w)\\P=2(410+110)\\P=2(520)\\P=1040\\Check.

4 0
3 years ago
In the cube shown below, the distance between vertices 2 and 6 is 15 cm.
suter [353]

Answer:

256 sq cm

Step-by-step explanation:

cube is a three-dimensional figure with six congruent square faces. Since each face is congruent, each of the edges have the same length.

The cross-section described is shown below.

The cross-section is also a square which is congruent to the other faces of the cubes. Therefore, the edges of the cross-section will each measure 16 cm. Find the area by using the formula for the area.

         A=lw

             =(16cm) (16cm)

                =256 sq cm  

So, the area of the cross-section is 256 sq cm.

hope this helps some way

Step-by-step explanation:

6 0
2 years ago
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Answer:

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Step-by-step explanation:

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5 0
2 years ago
I need help with this!
postnew [5]

Answer:

corresponding

Step-by-step explanation:

8 0
3 years ago
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