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melamori03 [73]
3 years ago
6

Write the equation in general form for the line passing through (-4,-3) and parallel to the line whose intercepts are (0,2) and

(4,0)
Mathematics
1 answer:
Alex787 [66]3 years ago
4 0

Answer:

y = -1/2 x - 5

Step-by-step explanation:

first find slope of the line.

since it is parallel the slope is the same.

0-2 / 4-0 = -1/2

then use the slope and the point given to find the equation.

y + 3 = -1/2 (x +4)

y + 3 = -1/2x -4/2

y + 3 = -1/2x - 2

y = - 1/2 x - 5

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Perform the operation and reduce the answer fully. 1/10 + 2/9 =
larisa [96]
You need to ensure the denominators are the same. To do this you multiply the denominators together.

1/90 + 2/90

However, this is incorrect, as you need to do the same to the numerators, so for the left hand side you multiplied by 9 and for the right hand side you multiplied by 10, so you must do the same for the numerators.

So it should be:

9/90 + 20/90

You can now add this together, to get:

29/90

This is triple checked so I’m not sure why it says reduce the answer fully as that is as far as it can be reduced.
8 0
3 years ago
-7b&lt; -35<br> =less than or equal two
timama [110]

Answer:

b>5

=greater than or equal too

Step-by-step explanation:

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6 0
3 years ago
box with a square base and open top must have a volume of 4,000 cm3. Find the dimensions of the box (in cm) that minimize the am
Naya [18.7K]

Answer:

Hence the width, length is 20 cm and height is 10 cm

Step-by-step explanation:

Since the box has a square base, let length = width = x. Also, let the height = y, therefore:

The volume of box = width * length * height

4000 = x * x * y

4000 = x²y

y=4000/x²

The surface area (SA) = area of the base + sum of the area of each side

SA = x² + xy + xy + xy + xy

SA = x² + 4xy

substitute y = 4000/x²

SA = x² + 4x(4000/x²)

SA = x² + 16000/x

Taking the derivative:

SA' = 2x - 16000/x²

making SA' = 0:

0 = 2x - 16000/x²

2x = 16000/x²

2x³ = 16000

x³ = 8000

x = 20 cm

y = 4000 / x² = 4000 / 20² = 10 cm

Hence the width, length is 20 cm and height is 10 cm

6 0
3 years ago
How is 3072 written in expanded form??
Juliette [100K]
3000 + 70 + 2

It's basically everything that is added to get that number. You do not need a 100's place because a 0 is holding that spot. 
8 0
3 years ago
Car A travels at 45 miles per hour and Car B travels at a greater speed of x miles per hour. Write and simplify an expression th
jonny [76]

farther = 2 \times (x - 45) = 2x - 90

3 0
3 years ago
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