To solve this, set up two equations using the information you're given. Let's call our two numbers a and b:
1) D<span>ifference of two numbers is 90
a - b (difference of two numbers) = 90
2) The quotient of these two numbers is 10
a/b (quotient of the two numbers) = 10
Now you can solve for the two numbers.
1) Solve the second equation for one of the variables. Let's solve for a:
a/b = 10
a = 10b
2) Plug a =10b into the first equation and solve for the value of b:
a - b = 90
10b - b = 90
9b = 90
b = 10
3) Using b = 10, plug it back into one of the equations to find the value of a. I'll plug it back into the first equation:
a - b = 90
a - 10 = 90
a = 100
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Answer: The numbers are 100 and 10</span>
Answer:
Point A would be at the coordinates, (-4, 1). Hope this helps!
A point is a 0-dimensional mathematical object which can be specified in -dimensional space using an n-tuple ( , , ..., ) consisting of. coordinates. In dimensions greater than or equal to two, points are sometimes considered synonymous with vectors and so points in n-dimensional space are sometimes called n-vectors.
Answer:
y = 
Step-by-step explanation:
We are given the point (3, 10).
The second point is 2 on the x-axis and -7 on the y-axis. So our second point is: (3 + 2, 10 - 7) which is (5, 3).
Our formula for slope is m = 
= 
So, our equation would be 
= 
Using the standard formula of a line, y = mx + b, we can substitute for the slope, m.
y = 
+ b
Now, we can substitute a point on the line to determine the y-intercept:
Using the point (3, 10),
10 = 
+ b
b = 10 + 
b = 
So our full equation is: y =
Answer:
8 laps
Step-by-step explanation:
Assuming in the equation given than n represents the number of laps run and t represents the time in minutes, when we plug in 16 in for t and simplify we get:
n=5/10*16
n=1/2*16 (Simplify the fraction by dividing top and bottom by 5)
n=16/2 (Multiply the fractions together by writing 16 as 16/1 and multiplying straight across)
n=8
