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Art [367]
3 years ago
11

A caterpillar started at point (−2.5, −5.5) on a coordinate plane. She crawled in a straight line through the origin to point (4

5, y). What is y?
Mathematics
2 answers:
alexgriva [62]3 years ago
6 0

Answer:

The value of y is 99

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem the line passes through the origin

therefore

Is a proportional variation

Find the value of k

with the point (-2.5,-5.5)

k=y/x=-5.5/-2.5=2.2

The equation is equal to

y=2.2x

so

For x=45

substitute

y=2.2(45)=99

solong [7]3 years ago
3 0

Answer: the value of y is 99

Starting point of the caterpillar = (−2.5, −5.5)

Crawled to the coordinate = (45, y)

y =?

Given that, it crawled in a straight line:

x and y are two variables that are directly proportional to one another  

y/x = k  

Where k is the constant of proportionality since it passes through the origin

-5.5/-2.5 = k  

2.2 = k

So,

y/x = 2.2

So take the coordinate (45,y)

y =2.2 * 45

y  = 99

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algol [13]

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Step-by-step explanation:  

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3 years ago
Find an equation of the sphere through the point (4,3,-1) and has center (3,8,1).
sleet_krkn [62]

Answer:

(x - 3)^{2} + (y - 8)^{2} + (z - 1)^{2} = 30

Step-by-step explanation:

The general equation of a sphere is as follows:

(x - x_{c})^{2} + (y - y_{c})^{2} + (z - z_{c})^{2} = r^{2}

In which the center is (x_{c}, y_{c}, z_{c}, and r is the radius.

In this problem, we have that:

x_{c} = 3, y_{c} = 8, z_{c} = 1

So

(x - 3)^{2} + (y - 8)^{2} + (z - 1)^{2} = r^{2}

through the point (4,3,-1)

This leads us to find the radius.

(4 - 3)^{2} + (3 - 8)^{2} + (-1 - 1)^{2} = r^{2}

r^{2} = 1 + 25 + 4

r^{2} = 30

So the equation of the sphere is:

(x - 3)^{2} + (y - 8)^{2} + (z - 1)^{2} = 30

6 0
2 years ago
The distance from Boulder City, NV to Santa Fe, NM is around 600 miles. If a map has a scale of 0.3 in for every 30 mi, how far
Alborosie
600 miles is the total and a rate of 30 mi  per 0.3 in 

600 divided by 30 = 20 units 

each unit is 0.3 inches 

20*0.3 = 6

6 inches
8 0
3 years ago
Read 2 more answers
Will Mark brainliest if correct. Will report if not correct.
Ksju [112]

Answer:

Looks like the scale factor is 1/3.

Step-by-step explanation:

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A scale factor greater than one enlarges an image, and a scale factor between zero and one shrinks an image, so that rules out options 2 (SF = -3) and 3 (SF = 3).

A negative scale factor would end up in an image opposite the center of enlargement, so that eliminates option 4 (SF = -1/3).

So that means that the scale factor is option 1 (SF = 1/3)!

6 0
3 years ago
What is the answer to, - (-x - 3)?
bekas [8.4K]

Step-by-step explanation:

(+)(+)=(-)(-)=(+)\\(+)(-)=(-)(+)=(-)\\\\-(-x-3)=-1(-x-3)\qquad\text{use the distributive property}\\\\=(-1)(-x)+(-1)(-3)=x+3

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