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IRINA_888 [86]
4 years ago
12

What is the standard form equation of the line shown below?

Mathematics
1 answer:
ch4aika [34]4 years ago
3 0
(-1,1)(1,4)
slope = (4 - 1) / (1 - (-1) = 3/(1 + 1) = 3/2

y = mx + b
slope(m) = 3/2
use either of ur points....(1,4)...x = 1 and y = 4
now sub and find b, the y int
4 = 3/2(1) + b
4 = 3/2 + b
4 - 3/2 = b
8/2 - 3/2 = b
5/2 = b

equation is y = 3/2x + 5/2...but we need it in standard form

y = 3/2x + 5/2
-3/2x + y = 5/2.....multiply both sides by -2
3x - 2y = -5 <==== ur standard form equation
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In ΔJKL, the measure of ∠L=90°, KL = 22 feet, and JK = 54 feet. Find the measure of ∠J to the nearest degree.
nydimaria [60]

We have been given that in ΔJKL, the measure of ∠L=90°, KL = 22 feet, and JK = 54 feet. We are asked to find the measure of angle J to nearest degree.

First of all, we will draw a triangle as shown in the attachment.

We can see from our attachment that side KL is opposite side to angle J and side JK is hypotenuse of right triangle.

We know that sine relates opposite side of right triangle to hypotenuse.

\text{sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}

\text{sin}(\angle J)=\frac{22}{54}

Using inverse sine or arcsin, we will get:

\angle J=\text{sin}^{-1}(\frac{22}{54})

\angle J=24.042075905756^{\circ}

Upon rounding to nearest degree, we will get:

\angle J\approx 24^{\circ}

Therefore, the measure of angle J is approximately 24 degrees.

8 0
4 years ago
.......Solve the equation:
harina [27]
Notice that the factored form of the part under the radical is:

(x-3)(x-3) which is equal to:

(x-3)^2

√((x-3)^2)+3|(x-3)(2x+1)|=0

√((x-3)^2)=-3|(x-3)(2x+1)|  now squaring both sides

(x-3)^2=9(x-3)^2*(2x+1)^2  dividing both sides by (x-3)^2

1=9(2x+1)^2

1=9(4x^2+4x+1)

1=36x^2+36x+9

36x^2+36x+8=0

36x^2+36x=-8

x^2+x=-2/9

x^2+x+1/4=1/4-2/9

(x+1/2)^2=(9-8)/36

(x+1/2)^2=1/36  taking the square root of both sides

x+1/2=±1/6

x=-1/2±1/6

x=(-3±1)/6

x= -2/3 and -1/3 and of course 3 because of the initial condition...

x=-1/3, -2/3, 3


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3 years ago
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beks73 [17]
I got C. -14x - 2
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