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soldi70 [24.7K]
2 years ago
9

If you are given the graph of a line in an xyplane and its corresponding equation, you can be sure that the coordinates of every

point on that line will satisfy the equation.
Mathematics
1 answer:
topjm [15]2 years ago
8 0

If the graph of a line  in an x y plane and its corresponding equation is given then , all the coordinates of every point on that line will satisfy the equation is a true statement.

<h3>What is the equation for a straight line ?</h3>

An equation of a straight line is given by

y = mx+c

where m is the slope and c is the intercept on y axis.

If the graph of a line  in an x y plane and its corresponding equation is given then , all the coordinates of every point on that line will satisfy the equation .

Even for a scatter plot the line of the best fit is drawn and every point on the line will satisfy the equation.

To know more about Equation of Straight Line

brainly.com/question/21627259

#SPJ1

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WILL MARK BRAINLIEST!!! Find the fifth roots of 243(cos 240° + i sin 240°).
Snowcat [4.5K]

Answer:

<h2>3(cos 336 + i sin 336)</h2>

Step-by-step explanation:

Fifth root of 243 = 3,

Suppose r( cos Ф + i sinФ) is the fifth root of 243(cos 240 + i sin 240),

then r^5( cos  Ф  + i sin  Ф )^5 = 243(cos 240 + i sin 240).

Equating equal parts and using de Moivre's theorem:

r^5 =243  and  cos  5Ф  + i sin  5Ф = cos 240 + i sin 240

r = 3 and  5Ф = 240 +360p so Ф =  48 + 72p

So Ф = 48, 120, 192, 264, 336  for   48 ≤ Ф < 360

So there are 5 distinct solutions given by:

3(cos 48 + i sin 48),

3(cos 120 + i sin 120),

3(cos 192 + i sin 192),

3(cos 264 + i sin 264),

3(cos 336 + i sin 336)

6 0
2 years ago
Write the nth term of the following sequence in terms of the first term of the sequence.
ZanzabumX [31]

Answer:

a(n) = 1 + 7(n-1)

Step-by-step explanation:

6 0
3 years ago
I need help with this one. It’s #6. :((
jonny [76]

Answer:

C

Step-by-step explanation:

f(x) = 2ˣ + 1

-f(x) = -(2ˣ) − 1

First, let's find the y-intercept.

-f(0) = -(2⁰) − 1 = -2

Only C can be correct.

6 0
2 years ago
Please solve for x. I need this answered.
spin [16.1K]

2.5x - 3 + 2x = 1.75x - 1.25x + 13

4.5x - 3 = 0.50x + 13

4.0x = 16

x = 4

Answer: 4

2. We'll assume those xs are in the numerator

(3/7)x - 1/4 + (3/7)x = (9/7)x - (3/7)x + 3/4 - 1

(6/7)x - 1/4 = (6/7)x  - 1/4

0 = 0

That's always true.

Answer: Any x is a solution.

8 0
3 years ago
Read 2 more answers
What is the area of the composite figure whose vertices have the following coordinates? (−2, −2) , (3, −2) , (5, −4) , (1, −8) ,
Luden [163]
Check the picture below.

notice the composite is just,

a 5x2 rectangle.

a triangle(yellow) with a base of 2 and a height of 2.

a triangle(red) with a base of 6 and a height of 4.

get the area of each, sum them up, and that's the area of the composite.

\bf \stackrel{rectangle}{(5\cdot 2)}~~~~+~~~~\stackrel{yellow~triangle}{\cfrac{1}{2}(2)(2)}~~~~+~~~~\stackrel{red~triangle}{\cfrac{1}{2}(6)(4)}

3 0
3 years ago
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