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Soloha48 [4]
2 years ago
13

find the equation of a line , in Slope intercept Form , that has a slope of 3 and passes through the point (-4,2).

Mathematics
1 answer:
kondaur [170]2 years ago
7 0

Answer:

y = 3x + 14

Step-by-step explanation:

Slope: 3

y-intercept: 2 - (3)(-4) = 2 + 12 = 14

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Let L be the line parametrized by x = 2 + 2t, y = 3t, z = −1 − t. (a) Find a linear equation for the plane that is perpendicular
Elden [556K]

Answer:

Step-by-step explanation:

Given that L is a line parametrized by

x = 2 + 2t, y = 3t, z = −1 − t

The plane perpendicular to the line will have normal as this line and hence direction ratios of normal would be coefficient of t in x,y,z

i.e. (2,3,-1)

So equation of the plane would be of the form

2x+3y-z =K

Use the fact that the plane passes through (2,0,-1) and hence this point will satisfy this equation.

2(2)+3(0)-(-1) =K\\K =5

So equation is

2x+3y-z =5

b) Substitute general point of L in the plane to find the intersecting point

2(2+2t)+3t-(-1-t) =5\\4+8t+1=5\\8t=0\\t=0\\(x,y,z) = (2,0,-1)

i.e. same point given.

3 0
3 years ago
Which inequality represents the graph below?
telo118 [61]

Answer:

The answer is B

the shaded part is below which signifies a less than sign

so you can cross out options A and C

now make y=0

for option B, it will give √Xless than or equal to √4

for option D, it will give √4 less than or equal to √x

to bring √x to the other side, the inequality sign will change to greater than

Therefore the answer is B

7 0
2 years ago
$49 jeans are 20% off, what is the sale price
madam [21]

Answer:

$39.2

Step-by-step explanation:

The sale price will be 20% of $49 subtracted from $49

That’s

20% /100% x $49

0.2 x $49

$9.8

Sale price = $49 - $9.8

= $39.2

The sale price is $39.2

8 0
3 years ago
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Steve built a square dog pen that has a perimeter of 240 inches. What is the length of one side of Steve's dog pen?
Liono4ka [1.6K]
240 divided by 4 equals 60
6 0
3 years ago
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WILL GIVE BRAINLIEST! Match the equations that are the same
wolverine [178]

Answer:

1. 1/x = 8

Answer = 8x-1

2. 8x+1=3

Answer ; x=1/4

3. 7= 14/X

Answer ; x = 2

4.1/2x^2 = 2

Answer ;x=2

Step-by-step explanation:

\frac{1}{x} =8 \\8x = 1\\\\\\8x+1=3\\Collect -like- terms \\8x =3-1\\8x = 2\\Divide -both -sides- by ;8\\\frac{8x}{8} =\frac{2}{8} \\x = 1/4\\\\\\7= \frac{14}{x} \\Cross -multiply\\7x =14\\Divide-both-sides-by-7\\x = 2\\\\\\\frac{1}{2} x^{2} =2\\\frac{x^{2} }{2} =2\\Cross-multiply\\x^{2} =4\\Squre-root -both-sides\\\sqrt{x^2}=\sqrt{4}  \\x = 2\\

6 0
3 years ago
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