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yaroslaw [1]
4 years ago
7

Write an equation if the line that is parallel to y=2x-5 and passes through (-4,2)

Mathematics
1 answer:
Leokris [45]4 years ago
5 0

Answer:

Step-by-step explanation:

y=2x-5

From y=mx+c

Comparing the equation

M=2.

For parallelism

M₁=M₂

y-y₁=m(x-x₁) equation of a line passing through a point

point (-4,2) are x₁ and y₁ respectively

y-2=2(x-(-4))

y-2=2(x+4)

y-2=2x+8

y=2x+8+2

y=2x+10

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125 decreased by a number​
Vedmedyk [2.9K]

Answer:

125 - n

Step-by-step explanation:

n is unknown.

5 0
4 years ago
FITNESS Alejandro is a personal trainer. For his clients to gain the maximum benefit from their exercise, Alejandro calculates t
katen-ka-za [31]

Answer:

1). f^{-1}(x) = (200 - \frac{x}{0.85})

2). Inverse function represents the age of the client and 'x' represents the maximum heart rate of the client.

Step-by-step explanation:

Function representing the maximum heart rate is,

f(x) = 0.85(220 - x)

Here x = age of the client

Equation form of the function will be,

y = 0.85(220 - x)

To get the inverse of the given function, replace 'x' by 'y' and 'y' by 'x' and solve for y.

x = 0.85(220 - y)

220 - y = \frac{x}{0.85}

y = 220 - \frac{x}{0.85}

Now convert this equation into a function.

f^{-1}(x) = (200 - \frac{x}{0.85})

Here inverse function represents the age of the client and 'x' represents the maximum heart rate of the client.

8 0
4 years ago
Find the solution to the given equation if the replacement set is {6, 9,15,16}.
Alexxandr [17]
They gave you a set of numbers that you replace the variable x in the equation to see if it gives a correct answer so just do exactly that.

6 + 2x = 24
6 + 2(6) = 24
6 + 12 = 24
18 = 24      so incorrect. both sides are not equal to each other.

6 + 2x = 24
6 + 2(9) = 24
6 + 18 = 24
24 = 24       so correct. both sides are equal to each other.

6 + 2x = 24
6 + 2(15) = 24
6 + 30 = 24
36 = 24       so incorrect. both sides are not equal to each other.

6 + 2x = 24
6 + 2(16) = 24
6 + 32 = 24
38 = 24      so incorrect. both sides are not equal to each other.

so your answer is b) 9

hope this helps, God bless!
6 0
3 years ago
Read 2 more answers
Of the last 14 contestants on a game show, 7 qualified for the bonus round. Considering this data,
tatyana61 [14]

Answer: you would expect 6 to qualify for bonus round

Step-by-step explanation: because the 7 out of 14 qualified for the bonus round wich is 1/2 so 1/2 of 12 would be 6

3 0
3 years ago
Read 2 more answers
Suppose a triangle has sides a,b, and c with side c the longest side, and that a^2+b^2>c^2. Let theta be the measure of the a
andreyandreev [35.5K]

Answer :

<u>A the triangle is not a right </u><u>triangle</u>

<u>D </u><u>costheta</u><u> </u><u><0</u>

The law of cosines says:

a²=b²+c²−2bccos(θ)

Rewriting:

2bccos(θ)=b²+c²−a²<0

So cos(θ)<0cos(θ)<0 since 2bc>02bc>0. Since 0<θ<π0<θ<π in any triangle,

π/2<θ<π

So:

1. θ is not an acute angle.

2 The triangle is not a right triangle. In a right triangle, one of the angles is 90 degrees and the other two are then less than 90 degrees. This triangle has an angle greater than 90 degrees.

3. cos(θ)<0 is true.

4. cos(θ)>0 is false -3 says cos(θ) is negative; a number can't be both positive and negative.

6 0
2 years ago
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