Answer:
Step-by-step explanation:
Remark
I'm not sure I know what you intend for the slope. I will take it as 12/3 = 4
If that is the case then what you have so far is
Solution
y = 4x + b
The given point determines b
<em>Givens</em>
x = 3
y = 2
<em>Given point</em>
2 = 4*3 + b
2 = 12 + b
b = 2 - 12
b = -10
The equation is y = 4x - 10
Hopefully you are able to clearly see the steps I have taken toward solving this problem in the attachment. In case you have trouble understanding what a reciprocal is, the reciprocal of a number is simply the number flipped. So, if you are given 1/2 and asked what the reciprocal is, it would be 2/1, or just 2. That being said, if you are given a whole number, simply remember that a whole number is ALWAYS equal to itself over one. So, in this case, the "sum of a number and its reciprocal" would be n +
1/n
Step-by-step explanation:
Pythagoras (for right-angled triangles) :
c² = a² + b²
c being the Hypotenuse, the side opposite of the right angle. and that would be here the diagonal.
c = diagonal = 10 ft
therefore, the width of the rectangle is 10/2 = 5 ft
10² = 5² + b²
100 = 25 + b²
b² = 75
b = length = sqrt(75) = 8.660254038... ft
Answer:
10.3 miles
Step-by-step explanation:
a^2 + b^2 = c^2
9^2 + 5^2 = c^2
81 + 25 = c^2
106 = c^2
the square root of 106 and c^2 is approximately c = 10.3
Answer:
False
Step-by-step explanation:
Substitute x and y with the numbers in the coordinate pair.
Just as a recap-
3 is the x value
7 is the y value
2(3) + 2(7) = 20
20 < 20
This is not true since 20 = 20
Hence, the answer is false
