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zhannawk [14.2K]
3 years ago
15

Emelina wrote the equation of a line in point-slope form as shown below.

Mathematics
2 answers:
Harman [31]3 years ago
6 0

Answer: y=3x+2

Step-by-step explanation:

Given: Emelina wrote the equation of a line in point-slope form as shown below.

(y+4)=3(x+2)

To write the equation in intercept form, first we multiply 3 inside the bracket values in the right side , we get

y+4=3x+6

Now, subtract 4 from both sides , we get

y=3x+2

Hence, Emelina’s equation in slope-intercept form : y=3x+2

Zigmanuir [339]3 years ago
4 0

Answer:  A. y = 3x + 2

Step-by-step explanation:Because it matches up the most to the problem. Its A. Have a great day and stay safe <3

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Pls help, its multiple choice btw
ryzh [129]

Answer:

the answer is c

Step-by-step explanation:

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2 years ago
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Solve this system of equations
olga_2 [115]

Answer:

D) x = 4, y = -2, z = 3

Step-by-step explanation:

x = 3z − 5

2x + 2z = y + 16

2(3z - 5) + 2z = y + 16

6z - 10 + 2z = y + 16

8z = y + 26 ---> (A)

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7(3z - 5) - 5z = 3y + 19

21z - 35 - 5z = 3y + 19

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8 0
3 years ago
A basketball gymnasium is 25 meters high, 80 meters wide and 200 meters long. We want to connect two strings, one from each of t
Rudiy27

Answer:

a) the centre is at (12.5 m, 40 m , 100 m ) with respect to our position

b) the length of the strings S will be 216.85 m

c) the angle that is formed by the strings is  1.23 rad

Step-by-step explanation:

assuming that we stand on one of the corners on the floor , so our coordinates are (0,0,0)  , then the coordinates of the center of the gymnasium   are found through

x center = (25 + 0)/2 = 12.5 m

y center = (80+ 0)/2 = 40 m

z center = (200+ 0)/2 = 100 m

then the centre is at (12.5 m, 40 m , 100 m ) with respect to our position

b) the length of the strings S will be the modulus of the vector that points from our position to the diagonally opposite corners

|S| = √(25²+80²+200²) = 216.85 m

c) the angle can be found through the dot product of the vectors that represent the strings S₁ and S₂

S₁ =(25,80,10)

S₂ =(-25,80,100)

then

S₁*S₂ = 25*(-25) +80*80 + 100*100 = 15775

but also

S₁*S₂ = |S₁||S₂| cos θ = |S|² * cos θ

S₁*S₂ =  |S|² * cos θ

cos θ= S₁*S₂/|S|²

θ= cos ⁻¹ ( S₁*S₂/|S|² ) = cos ⁻¹ [15775/(25²+80²+200²)] = 1.23 rad

7 0
3 years ago
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Answer:

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Anna35 [415]

Answer:

Step-by-step explanation:

Hope this helps u!!

7 0
3 years ago
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