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Evgen [1.6K]
3 years ago
13

Which line is parallel to y = 1/2x+4 and passes through the points (4,-3)

Mathematics
1 answer:
Over [174]3 years ago
7 0
Since the line is Parallel to y = 1/2x + 4 ,their slopes are equal.

Slope, m = 1/2

Required equation of line ,

y -(-3) = m(x - 4)
y + 3 = 1/2(x - 4)
2y + 6 = x - 4
x - 2y - 10 = 0

Hope This Helps You!
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1.what is the slope of the line passing through the points (1,-5) and (4,1)?
hoa [83]

Answer:

C. 2

Step-by-step explanation:

Slope = (y2-y1) / (x2-x1) , (x1,y1) = (1,-5) , (x2,y2)=(4,1)

= (1-(-5)) / (4-1)

= (1+5) / 3

= 6/3

= 2

3 0
2 years ago
10. Express the following as a single fraction.<br> x-1 +x+2 + x<br>2<br>5<br>4<br>​
Margaret [11]

Answer:

x+x+x=3x

2-1=1

3x+1

this is ansver

3 0
3 years ago
Pleasssseeee hellllpllllllppppp???????
olchik [2.2K]

Answer:

f(x) and g(x) are inverse functions

Step-by-step explanation:

In the two functions f(x) and g(x) if, f(g(x)) = g(f(x)) = x, then

f(x) and g(x) are inverse functions

Let us use this rule to solve the question

∵ f(x) = 3x²

∵ g(x) = \sqrt{\frac{x}{3}}

→ Find f(g(x)) by substitute x in f(x) by g(x)

∴ f(g(x)) = 3(\sqrt{\frac{x}{3}})²

→ Cancel the square root with power 2

∴ f(g(x)) = 3(\frac{x}{3})

→ Cancel the 3 up with the 3 down

∴ f(g(x)) = x

→ Find g(f(x)) by substitute x in g(x) by f(x)

∴ g(f(x)) = \sqrt{\frac{3x^{2}}{3}}

→ Cancel the 3 up with the 3 down

∴ g(f(x)) = \sqrt{x^{2}}

→ Cancel the square root with power 2

∴ g(f(x)) = x

∵ f(g(x)) = g(f(x)) = x

→ By using the rule above

∴ f(x) and g(x) are inverse functions

5 0
2 years ago
HELP URGENT BRAINLIEST
nadya68 [22]

Given:

LMN is an equilateral triangle.

LM = LN = MN = 12 cm

To find:

The height of the triangle h.

Solution:

In a right angle triangle,

\sin \theta=\dfrac{Opposite}{Hypotenuse}

\sin (60^\circ)=\dfrac{h}{12}

\dfrac{\sqrt{3}}{2}=\dfrac{h}{12}

Multiply both sides by 12.

\dfrac{\sqrt{3}}{2}\times 12=\dfrac{h}{12}\times 12

6\sqrt{3}=h

Therefore, the height of the triangle is 6\sqrt{3} cm.

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2 years ago
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Marina CMI [18]

Answer:

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Step-by-step explanation:

The answer is above                                                                            

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