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IceJOKER [234]
2 years ago
13

For the linear equation 3y = 2x + 7, the y-intercept is ___.

Mathematics
2 answers:
Ulleksa [173]2 years ago
6 0

Answer:

\frac{7}{3}

Step-by-step explanation:

Change the equation in slope-intercept form and read out y-intercept.

<u>Slope-Intercept Form</u>

y = mx + b

m ... slope

b ... y-intercept

To change given equation to slope-intercept form we isolate y.

3y = 2x + 7

Divide both sides with 3.

y = \frac{2}{3}x + \frac{7}{3}

m = \frac{2}{3}

b = \frac{7}{3}

Eduardwww [97]2 years ago
4 0

Answer:

-7

Step-by-step explanation:

we want y = mx + b

3y = 2x + 7

-2x = -3y + 7

2x = 3y - 7

the y intercept is the standalone number, ergo -7

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Show me how to get this answer show your work
Rama09 [41]

We know that angle MKJ is comprised of angle MKL and angle LKJ. That means if we add MKL and LKJ, we should get 80 degrees, which is the measure of angle MKJ.

MKL + LKJ= MKJ \implies \\ 2x+10+3x-5=80 \implies \\ 5x+5=80 \implies\\ 5x=75 \implies \\ x=15

So, we know that our x is 15. That is not enough to tell whether KL is an angle bisector, because we have to evaluate both MKL and LKJ with x=15, so:

MKL=2(15)+10 = 40\\ LKJ=3*15-5=40

So we see that these two angles are actually bisectors, and the third question best describes this phenomenon.

6 0
3 years ago
Read 2 more answers
Triangle PQR has vertices P(–2, 6), Q(–8, 4), and R(1, –2). It is translated according to the rule (x, y) → (x – 2, y – 16). Wha
Rudik [331]
The point P has coordinates (x,y) = (-2,6) so x = -2 and y = 6

Replace x and y with those values into the rule given
So,
(x,y) ---> (x-2, y-16)
turns into
(-2,6) ---> (-2-2, 6-16) = (-4,-10)

P = (-2,6)
P ' = (-4,-10) 

The answer is -10 because your teacher just wants the y coordinate of point P'
4 0
3 years ago
Give an example of where you would use either the Commutative or Associative Property of Addition in a real world situation.
umka2103 [35]

So the best I could come up with is paper-rock-scissors; the operation takes two inputs and puts out the winner (assuming they are different).

So (paper rock) scissors= paper scissors = scissors,

But paper (rock scissors)= paper rock = paper.

This is a good example because it shows that associativity matters even outside of math.

3 0
3 years ago
SOMEONE HELP MEEEE PLS
DerKrebs [107]

Answer:

it's a scalene triangle

Step-by-step explanation:

None of the sides are equal

3 0
4 years ago
Can the sum of two negative numbers ever be positive?
N76 [4]
No
two negatives equal positive, and one negative and one positive is i think negative
7 0
3 years ago
Read 2 more answers
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