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1 year ago

Write an equation that represents the line.

Mathematics

1 answer:

Bad White [126]1 year ago

3 0

Step-by-step explanation:

a general line equation is

y = ax + b

"a" being the slope is the line, "b" being the y-intercept (the y value when x = 0).

we see from the 2 marked points (by we could choose any points on the line) that

y changes by 2 units, when x changes by 3 units.

so the slope is 2/3.

we use one point (1, 2) to solve for b

2 = 2/3 × 1 + b = 2/3 + b

6/3 = 2/3 + b

4/3 = b

and the full equation is

y = 2/3 x + 4/3

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Which of the following points could be the initial point of vector v if it has a magnitude of 10 an the terminal point (-1,5)?

Eddi Din [679]

Let the initial point of the vector be (x,y). Then the magnitude of the vector v can be written as:

$|v|= \sqrt{ (-1-x)^{2} + (5-y)^{2} }$

The magnitude of vecor v is given to be 10. So we can write:

$10= \sqrt{ (-1-x)^{2} + (5-y)^{2} } \\ \\ 100=(-1-x)^{2} + (5-y)^{2}$

Now from the given options, we have to check which one satisfies the above equation. That point will be the initial point of the vector.

The point in option d, satisfies the equation.

$100=(-1+7)^{2} +(5+3)^{2} \\ \\ 
100=36+64 \\ \\ 
100=100$

Thus, the answer to this question is option D

7 0

2 years ago

Find the value of x<br><br> 3/4 x-4=8

Vesna [10]

Answer: x = 16

Step-by-step explanation:

Solve for x by simplifying both sides of the equation, then isolating the variable. :)

7 0

2 years ago

Can someone please do this for me or help me pleasee i beg

zlopas [31]

Okay I get some of them, your first one - 1 I disagree with. So we can solve with two points by using a equation y2-y1 over x2-x1. So it's 4-8 over - 3-6 with the numerator being - 4 and the denominator being - 9. Any questions on how to solve for slope with two coordinates.

8 0

3 years ago

Coretta is covering her locker door with crate paper. The door is shaped like a rectangle and has an area of 192 square inches.

Reika [66]

I think it’s C I’m not sure

3 0

2 years ago

Read 2 more answers

Find the product of:

eduard

Answer:

144/5

Step-by-step explanation:

$\large \rm \: 9 \frac{2}{3} \times 1 \frac{1}{29} \times \frac{6}{15 } \times 7 \frac{1}{5} \\ = \frac{29}{3} \times \frac{30}{29} \times \frac{6}{15} \times \frac{36}{5} \\ = 10 \times \frac{216}{75} \\ = \frac{2160}{75} \\ = \frac{144}{5}$

5 0

2 years ago

Read 2 more answers