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Xelga [282]
2 years ago
14

Which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of 1/2

Mathematics
1 answer:
antiseptic1488 [7]2 years ago
5 0
Y - 2 = 1/2 * ( x - 3 )
hope this helps!
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Please help me and make sure to show your work
irina1246 [14]
Answer: C 20

Explanation: Plug in 2 for k.

2^2 - (2-10) + 4(2) = 20
4 0
2 years ago
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I’m a bit stuck on the second part of what y = x, can someone help me?
marissa [1.9K]
The answer should be 3, -1
4 0
2 years ago
Which of the following decimal numbers equals 4 thousands, 9 hundreds, 2 tens, and 6 ones?
Murljashka [212]

Answer:

4,296

Step-by-step explanation:

because 4 thousands = 4,000, 9 hundreds = 900, 2 tens = 20 and 6 ones= 6, 400 + 900 + 20 + 6 = 4,920

5 0
3 years ago
Jason received $25 dollars from his grandmother. Jason's sister received $5 dollars more than Jason. Write an equation.
KiRa [710]

Answer: J(25) + JS(5) = 30

Step-by-step explanation:

J = Jason

JS = Jason Sister.

7 0
2 years ago
A line is perpendicular to x + 3y - 4 = 0 and has the same y-intercept as 2x + 5y - 20 = 0. Find the equation for the line.​
yawa3891 [41]
<h3>Answer:  -3x+y-4 = 0   (standard form)</h3>

This is equivalent to y = 3x+4 (slope intercept form)

By "standard form", I mean the form Ax+By+C = 0.

====================================================

Explanation:

Let's solve the first equation for y

x+3y-4 = 0

x+3y = 4

3y = 4-x

3y = -x+4

y = (-x+4)/3

y = (-x/3) + (4/3)

y = (-1/3)x + (4/3)

The equation is now in y = mx+b form, aka slope intercept form, with m = -1/3 as the slope and b = 4/3 as the y intercept. We'll focus on the slope.

Apply the negative reciprocal to this so that we go from -1/3 to +3/1 or simply 3. Flip the fraction and the sign. Note how -1/3 and 3 multiply to -1. Perpendicular slopes always multiply to -1, assuming neither line is vertical.

So this mystery perpendicular line we're after has a slope of 3.

It has the same y intercept as 2x+5y-20 = 0. Plug in x = 0 and solve for to determine the y intercept.

2x+5y-20 = 0

2(0)+5y-20 = 0

5y-20 = 0

5y = 20

y = 50/5

y = 4

The y intercept of 2x+5y-20 = 0 is y = 4, so it's also the y intercept of our final answer. Let b = 4.

-------------------------------------

We found that:

  • m = 3 is the slope of the perpendicular line
  • b = 4 is the y intercept of the perpendicular line

So we know that,

y = mx+b

y = 3x+4

is the slope intercept form of the answer. Since your teacher gave you the equations in standard form (one version of it anyway), let's convert y = 3x+4 to that form as well

y = 3x+4

y-3x = 4

-3x+y = 4 .... one way to express standard form

-3x+y-4 = 0 .... another standard form

Some math textbooks use Ax+By = C as standard form, while others use Ax+By+C = 0. Unfortunately, it's a bit confusing because the same phrasing is used.

7 0
2 years ago
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