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olchik [2.2K]
3 years ago
13

Write the formula for a function d(x) that describes the distance between the point P and a point (x,y) on the line. You final a

nswer should only involve the variable x. Then d(x) =

Mathematics
1 answer:
vlabodo [156]3 years ago
6 0

Answer:

d(x) = √[(x - 2)² + (3x - 1)²]

Step-by-step explanation:

The distance between two points with coordinates (x₁, y₁) and (x₂, y₂) is given as

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

So, the distance between point (2,0) and a point (x,y)

d = √[(x - 2)² + (y - 0)²]

d = √[(x - 2)² + (y)²]

But the point (x,y) is on the line y = 3x - 1

We can substitute for y in the distance between points equation.

d(x) = √[(x - 2)² + (3x - 1)²]

QED!

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Bottled water and medical supplies are to be shipped to victims of a hurricane by plane. Each plane can carry 90,000 pounds and
Kaylis [27]

Answer:4000 bottle containers and 1000

Medical kits

Step-by-step explanation:

The total weights the plane can take per trip is 90000lb. It implies that if we multiply the weight of each bottle container by the number of bottle container and add it to the product of the number medical kit and the weight of each medical kit, we will obtain a total weight of 90000lb.

If x is the number of bottle and y is the number of medical kit

20×x+10×y=90000....i

Also

The total volume the plane can take per trip is 6000ft³ It implies that if we multiply the volume of each bottle container by the number of bottle container and add it to the product of the number medical kit and the volume of each medical kit, we will obtain a total volume of 6000ft³.

Recall, x is the number of bottle and y is the number of medical kit

1×x+2×y=6000....ii

Combining equation i and ii and solving simultaneously,

x=4000 units and y= 1000 units in each plane trip

4 0
4 years ago
Read 2 more answers
There is 1/5 of a foot of ribbon left on
Andrews [41]

Answer:

1/15th of a foot

Step-by-step explanation:

15 divided by 3 is 5

6 0
3 years ago
What mathematical operation is used with translations?<br><br> Answer in complete sentence.
sergejj [24]

Answer:

A multiplication expression that is translated by the direct translation method is shown in Example 11. The expression translates to x × 15. Some multiplication keywords, such as DOUBLE, TWICE, and TRIPLE, translate into a number and the operation of multiplication, as shown in Examples 12 and 13.

Hopefully this helps you!!! ;)

4 0
4 years ago
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Combining like terms-5x+5
Liula [17]

Answer:

This term would not change at all when combining like terms.

Step-by-step explanation:

Because the first term has a variable and the second does not, they can not be combined. Therefore, there is not change to this assignment

8 0
4 years ago
A sporting goods store pays $100 for a rubber raft. The percent of markup is 55%. Find the raft’s selling price.
dangina [55]

Your answer would ultimately be A because you would multiply 100 by the percent 55 which u would take the dot like it usually is a the end of the number and move it over to the left two places to get your number then you would multiply 100 by .55 to get 55$

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