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Vilka [71]
3 years ago
13

Find the equation of the line passing through the point (–1, 5) and perpendicular to the line y = – 3x + 4.

Mathematics
1 answer:
dsp733 years ago
3 0

9514 1404 393

Answer:

  A)  3y = x + 16

Step-by-step explanation:

The equation of a perpendicular line can be found by swapping the x- and y-coefficients and negating one of them. The constant will be chosen to match the given point.

Swapping coefficients, we get ...

  -3y = x + c

Negating the y-coefficient gives ...

  3y = x + c

Filling in the given point, we have ...

  3(5) = -1 + c

  16 = c

The equation of the perpendicular line can be written as ...

  3y = x + 16 . . . . matches choice A

_____

Note that choice A is the only equation that gives a line with positive slope. The given equation has negative slope, so its perpendicular must have positive slope.

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A bed is 2400 a discount of 25% was given on the
Brrunno [24]

Answer:

800

Step-by-step explanation:

Given: The selling price of bed is 2400.

          Discount offered is 25%

Lets assume the cost of bed be "x"

Discount offered on the cost price of bed= \frac{25}{100} \times x= 0.25x

∴ Discount offered on the cost price of bed= 0.25x

We know the selling price of bed after discount provided.

Finding the cost price of the bed.

⇒ x-0.25x= 2400

⇒ 0.75x= 2400

cross multiplying both side.

∴ x= \frac{2400}{0.75} = 3200

∴ Cost price of the bed is 3200.

We know selling price of the bed is 2400.

Now, finding the saving.

Saving on the price of bed= Cost price- selling price

Saving= 3200-2400= 800

Hence, saving on the purchase of the bed is 800.

7 0
3 years ago
Two spherical balloons are filled with water. The first balloon has a radius of 3 cm, and the second has a radius of 6 cm.
lana [24]
<span>Sphere Volume   = </span><span>  4/3 • <span>π <span>• r³<span>

Small Balloon = </span></span></span></span><span>4/3 • 3.14<span> <span>• 3^3

</span></span></span><span>Small Balloon = 37.68 cc

Large Balloon =  </span><span>4/3 • 3.14<span> • 6^3</span></span>

Large Balloon =  <span> <span> <span> 904.32  </span> </span> </span> cc

<span> <span> <span> <span> Difference = (904.32 -</span></span></span>37.68) = </span> <span> <span> <span> 866.64 </span> </span> </span> cc

The larger balloon has <span> <span> <span> 866.64 </span> </span> </span> cc more water than the small balloon.


4 0
3 years ago
Michelle records the value of one euro in U.S dollars each day for her social studies project.
natka813 [3]

Answer:

On Monday the value was 1.448, Tuesday it was 1.443, Wednesday it was 1.452, and Thursday it was 1.458.

Step-by-step explanation:

3 0
3 years ago
The speed limit on a highway is 70 miles per hour. About how fast is this in miles per minute?
Lady bird [3.3K]
The speed of this:
70 miles per hour

1 hour = 60 minutes

70/60 = 7/6

around 1 1/6 mile per minute

hope this helps
7 0
3 years ago
1. Based on the information in the table, is the cost of the apples proportional to the weight of apples?
lina2011 [118]

Answer:

  1. yes
  2. no

Step-by-step explanation:

When a number of similar calculations are required, a spreadsheet can reduce the tedium.

1. The price is a constant $1.88 per pound, so is proportional to the weight.

_____

2. The price is not proportional to the number of toppings.

__

The cost of the pizza is $8.99 plus $1.50 per topping. The base cost being non-zero ensures that the overall cost is not proportional to the number of toppings.

4 0
3 years ago
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