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Rainbow [258]
3 years ago
10

Write an equation that describes the function.

Mathematics
2 answers:
vlabodo [156]3 years ago
7 0
Find the slope, first:
m =  \frac{ y_{1}  - y_{2} }{ x_{1}  - x_{2} }
Use any two points, for example (1,0) and (3, -2)
m =  \frac{-2 - 0}{3 - 1}  = -1
So, the slope is -1.
Then, use the formula for any given point, y and x are constants
y -  y_{1}  = m(x -  x_{1} )
Use, for example, point (1, 0)
y - 0 = (-1)(x - 1)
y = -x +1
So, the equation is y = -x +1
Leona [35]3 years ago
5 0
From the points you get a slope of -1 using the slope in y=mx+b you get b=1 so y=-x+1
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Ishaan is 222 times as old as Christopher. 353535 years ago, Ishaan was 777 times as old as Christopher.
klemol [59]
<h3><u>Question:</u></h3>

Ishaan is 2 times as old as Christopher. 35 years ago, Ishaan was 7 times as old as Christopher. How old is Christoper now?

<h3><u>Answer:</u></h3>

The present age of Christoper is 42 years old

<h3><u>Solution:</u></h3>

Given that Ishaan is 2 times as old as Christoper

Let the present age of Christoper be "x"

Then, Present age of Ishaan = 2 times as old as Christoper

present age of Ishaan = 2x

<em><u>35 years ago, Ishaan was 7 times as old as Christopher</u></em>

Age of Ishaan 35 years ago = Present age of Ishaan - 35

Age of Ishaan 35 years ago = 2x - 35

Similarly,

Age of christoper 35 years ago = Present age of christoper - 35

Age of christoper 35 years ago = x - 35

From given statement, 35 years ago, Ishaan was 7 times as old as Christopher

Age of Ishaan 35 years ago = 7 times the age of Christoper 35 years ago

(2x - 35) = 7(x - 35)

<em><u>Solve the above equation for "x"</u></em>

2x - 35 = 7x - 245

2x - 7x = -245 + 35

-5x = -210

<h3>x = 42</h3>

Thus present age of Christoper is 42 years old

5 0
3 years ago
Find the cosine ratio of angle ?. hint: use the slash symbol ( / ) to represent the fraction bar, and enter the fraction with no
Andru [333]

We are given that the angle a is the right angle. So let us work from this.

ab = 12 (the vertical side of the triangle)

bc = 13 (which if drawn can be clearly observed to be the hypotenuse) = the side opposite to angle a

ca = 5 (the horizontal side of the triangle)

 

Since we are to find for the cosine ratio of angle c or angle θ, therefore:

cos θ = adjacent side / hypotenuse

cos θ = ca / bc

cos θ = 5 / 13

 

Check out the attached image below for the illustration of the triangle.

6 0
3 years ago
Does anyone know what has integers as it's square root?
Snezhnost [94]
It shouldn't be too tough to find one of those, seeing that there are
an infinite number of them.

To create one, take any integer, positive or negative, and multiply it by itself.

Here are a few to put you in the mood:

1,  4,  9,  16,  25,  36,  49,  64,  81,  100,  121,  144,  169,  196,  225,  256,  ...

784,  841,  900,  1024,  1225,  1600,  2500,  3600,  4900,  10000,  1 million,  ...

3 0
3 years ago
Which answer is equivalent to 4 1/3*4 1/6?<br> a. 16<br> b .6√​16<br> c. 2<br> d. 3√​4
Talja [164]

Answer:

<h2>c. 2</h2>

Step-by-step explanation:

4^\frac{1}{3}\cdot4^\frac{1}{6}\\\\\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=4^{\frac{1}{3}+\frac{1}{6}}=4^{\frac{1\cdot2}{3\cdot2}+\frac{1}{6}}=4^{\frac{2}{6}+\frac{1}{6}}=4^\frac{2+1}{6}=4^\frac{3}{6}=4^\frac{3:3}{6:3}=4^{\frac{1}{2}}\\\\\text{use}\ a^\frac{m}{n}=\sqrt[n]{a^m}\\\\=\sqrt[2]{4^1}=\sqrt4=2

5 0
3 years ago
The tree club plans to hike 20 miles today. The hikers have covered 6 miles so far. If they travel at an average speed of 2 1/2
weeeeeb [17]

Answer:

8

Step-by-step explanation:

20 divided by 2.5 = 8 simple

5 0
3 years ago
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