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Ksju [112]
3 years ago
15

On a number​ line, suppose point E has a coordinate of 1​, and EG = 3. What are the possible coordinates of point​ G?

Mathematics
1 answer:
Alja [10]3 years ago
3 0

Answer:

The possible coordinates of point G are; -2 or 4.

Step-by-step explanation:

A number line can be used to locate the position of any directed number. It has both negative axis and positive axis.

Given that EG = 3, and E has a coordinate of 1, then moving from 1 in the direction of the negative end of the line would make G to be at -2. Also, moving from 1 towards the positive end of the line would make G to be at 4.

Therefore the possible coordinates of point G are -2 or 4, when EG = 3.

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Standard form of a line passing through points (1, 3) and (-2, 5)
____ [38]

Answer:

<h2>2x + 3y = 33 </h2>

Step-by-step explanation:

As we move from (-2, 5) to (1, 3), x increases by 3 and y decreases by 2.

Hence, the slope of this line is m = rise / run = -2/3.

Start with the slope-intercept form y = mx + b.

Substitute 3 for y and 1 for x and -2/3 for m:

3 = (-2/3)(1) + b.

Remove fractions by mult. all three terms by 3:

9 = -2 + b, so b = 11, and y = (-2/3)x + 11

Again, mult. all three terms by 3:

3y = -2x + 33, or, in standard form,

<h2>2x + 3y = 33 </h2>
6 0
3 years ago
Find the volume of the cylinder.<br> Either enter an exact answer in terms of π or use 3.14 for π
Alex787 [66]

Answer:

Volume of the cylinder = 62.80 units^3

Step-by-step explanation:

Height of the Cylinder(h)=5 units

Radius(r)=2 units

Volume of a cylinder=\pi *r*r*h

     Putting the values in the formula;

Volume of the cylinder =\pi *2*2*5

                      As,   \pi =\frac{22}{7}=3.14                        

Volume of the cylinder=  3.14*2*2*5

                                 =3.14*2*2*5\\\\=3.14*4*5\\\\=3.14*20\\\\=62.80units^3                              

The Volume of the cylinder is 62.80 units^3

7 0
3 years ago
identify and interpret the y-intercept of the equation in terms of the context of the situation?y=8x+134
nadezda [96]

Answer:

134

Step-by-step explanation:

This equation follows y=mx+b

y = output

x = input

(In this case) 8 = slope

(In this case) 134 = y-intercept

3 0
4 years ago
⦁ If we add 5 to the denominator and subtract 5 from the numerator of a fraction, it becomes . If we subtract 3 from the numerat
natima [27]

the complete question is

If we add 5 to the denominator And subtract 5 from the numerator of a fraction ot reduces to 1/7. if we subtract 3 from the numerator and add 3 to its denominator ot reduces to 1/3. find the fraction.


Let

x/y-----------> the fraction


we know that

(x-5)/(y+5)=1/7------>7*(x-5)=(y+5)-----> y=7x-35-5----> y=7x-40----> equation 1

(x-3)/(y+3)=1/3----> 3*(x-3)=y+3----> y=3x-9-3----> y=3x-12------> equation 2


equate equation 1 and equation 2

7x-40=3x-12-----> 7x-3x=40-12------> 4x=28-----> x=7


y=3x-12------> y=3*7-12-----> y=9

x/y=7/9


the answer is

the fraction is 7/9

5 0
4 years ago
Estimate the perimeter and the area of the shaded figure to the nearest tenth.
Anna007 [38]

Answer:

Here is ur answer.

Step-by-step explanation:

8 0
3 years ago
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