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Misha Larkins [42]
3 years ago
6

Line K has the equation 9x-4y=-5x4.

Mathematics
1 answer:
Wewaii [24]3 years ago
3 0
<h3>Answer:   y = (9/4)x - 2</h3>

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

Explanation:

Line K is 9x-4y=-5*4 which is the same as 9x-4y=-20

Rule: Anything parallel to Ax+By = C is of the form Ax+By = D.

The equation 9x-4y=-20 has A = 9, B = -4 and C = -20.

That means Ax+By = D becomes 9x-4y = D.

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

Plug in the coordinates (x,y) = (4,7) and compute the value of D.

9x-4y = D

D = 9x-4y

D = 9(4)-4(7)

D = 36 - 28

D = 8

So 9x-4y = D becomes 9x-4y = 8

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

The last step is to solve for y to get the equation in y = mx+b form.

9x-4y = 8

-4y = 8-9x

-4y = -9x+8

y = (-9x+8)/(-4)

y = (-9x)/(-4) + 8/(-4)

y = (9/4)x - 2    is the slope-intercept form of line L

The equation is in y = mx+b form where,

m = 9/4 = slope

b = -2 = y intercept

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15 POINTS
tensa zangetsu [6.8K]

To find the answer, all we need to do is plug in the slope and point they gave us into the Point Slope Formula!

The point slope formula is ...

y - y_{1} = m ( x - x_{1} )

So lets put them in!

y - 4    =    2/3     (x - (-3))

Tip: remember when you subtract a negative number, it turns into adding !

So our final answer is probably D (I think you may have put a <u>typo</u>)

y - 4 = \frac{2}{3} (x + 3)

3 0
3 years ago
Choose 3 values that would make this inequality true. <img src="https://tex.z-dn.net/?f=4%2Bg%20%5Cgeq%209" id="TexFormula1" tit
Elena-2011 [213]
G>=5, so anything above or equal to 5 would count. So, you could use 5, 6, 7.
7 0
3 years ago
Mattel Corporation produces a remote-controlled car that requires three AA batteries. The mean life of these batteries in this p
goldfiish [28.3K]

Answer:

0.0406, 0.8284,0.7887

Step-by-step explanation:

Given that Mattel Corporation produces a remote-controlled car that requires three AA batteries

X is N(34, 5.5)

Hence sample size of 25 would follow a t distribution with df = 24

This is because sample size <30

t distribution with df 24 would be bell shaped symmetrical about the mean and unimodal.

Std error of sample mean = std dev /sqrt n=\frac{5.5}{5} \\=1.1

Prob (X>36) = P(t>\frac{36-34}{1.1} ) = P(t>1.82)\\= 0.04063

i.e nearly 4.1% of the sample would have a mean useful life of more than 36 hours

X>33.5 implies t>-0.45

=0.82837

=0.8284 proportion will have a mean useful life greater than 33.5 hours

Proportion between 33.5 and 36 hours

= 0.3284+0.4593=0.7887

6 0
3 years ago
What is 56/30 in its simplest form?
lbvjy [14]

Answer:

1\frac{13}{15}

Step-by-step explanation:

plz mark brainliest

6 0
2 years ago
Read 2 more answers
Can you please help me to solve 1/2 only please I will mark you the brainly i will really appreciate please
alina1380 [7]

Answer:

1. a = 5, b = 8

2. d = 2

Step-by-step explanation:

1. The sum of adjacent angle is 180 degree

115 + 8b +1 = 180

8b = 180 -116

b = 8

Similarly

14a - 5 + 115 = 180

14a = 180 -110

14a = 70

a = 14

2. Intersecting diagonals divide each other into equal halves

3d + 5 = 5d + 1

2d = 4

d = 2

4 0
3 years ago
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