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Blizzard [7]
3 years ago
13

ANSWER QUICK PLS 53 PTS HURRY

Mathematics
1 answer:
GalinKa [24]3 years ago
5 0

B & C

hope this helps

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Find the equation of the line passing through the point (4,−1) that is parallel to the line 2x−3y=9.
motikmotik

Hey there!

Line passes through (4, -1) & is parallel to 2x -3y=9

Let's start off by identifying what our slope is. In the slope-intercept form y=mx+b, we know that "m" is our slope.

The given equation needs to be converted into slope-intercept form and we can do this by getting y onto its own side of the equal sign.

Start off by subtracting 2x from both sides.

-3y = -2x + 9

Then, divide both sides by -3.

y = (-2x + 9)/-3

Simplify.

y = 2/3x - 3

"M" is simply a place mat so if we look at our given line, the "m" value is 2/3. Therefore, our slope is 2/3.

We should also note that we're looking for a line that's parallel to the given one. This means that our new line has the same slope as our given line. Therefore, our new line has a slope of 2/3.

Now, we use point-slope form ( y-y₁=m(x-x₁) ) to complete our task of finding a line that passes through (4, -1). Our new slope is 2/3 & it passes through (4, -1).

y-y₁=m(x-x₁)

Let's start by plugging in 2/3 for m (our new slope), 4 for x1 and -1 for y1.

y - (-1) = 2/3(x - 4)

Simplify.

y + 1 = 2/3 + 8/3

Simplify by subtracting 1 from both sides.

y = 2/3x + 8/3 - 1

Simplify.

y = 2/3x + 5/3

~Hope I helped!~

7 0
3 years ago
Am i correct? please be honest
nadya68 [22]

Answer:

Yep. Those are 5 (-4)'s.

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
3. If triangle ABC has the following measurements, find the measure of angle A.
klio [65]

9514 1404 393

Answer:

  (a)  42.3°

Step-by-step explanation:

Side 'a' is the shortest of three unequal sides, so angle A will be the smallest angle in the triangle. Its measure can be found from the Law of Cosines.

  a² = b² +c² -2bc·cos(A)

  cos(A) = (b² +c² -a²)/(2bc) = (21² +25² -17²)/(2·21·25) = 777/1050

  A = arccos(777/1050) ≈ 42.3°

The measure of angle A is about 42.3°.

_____

<u><em>Additional comment</em></u>

The smallest angle in a triangle can never be greater than 60°. This lets you eliminate choices that exceed that value.

5 0
3 years ago
I NEED HELP ASAP Please
Marat540 [252]
Where i put the black lines is where the points should be because there are 5 lines and the 6th one makes a whole number you would multiply 2/3 but 2 and it’ll become 4/6 and that’s why i got it on -1 4/6 and then 5/6 well i have it on there

5 0
3 years ago
The sum of two numbers is 62, and their difference is 8. What are the numbers
Lemur [1.5K]
Sum of two numbers is 62?
Let's call the two numbers a and b

let's find two same numbers that would add up to 62: 31.
31 + 31 = 62

since it said the difference is 8, we have to add 4 to one number and subtract 4 from another.
31 - 4 = 27
31 + 4 = 35

Therefore, the two numbers following the given rules are 27 and 35
7 0
3 years ago
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