Answer:
x+y = 112 ........ (1)
x-y = 62............ (2)
from (1) and (2)
2x = 174
x = 174/2
x = 87
sub x = 87 in (1)
x+y = 112
87+y = 112
y = 112 - 87
y = 25
so the numbers are 87 and 25
Step-by-step explanation:
Answer:
34,220
Step-by-step explanation:
Because order doesn't matter, but the numbers can't be repeated, we need to find the number of combinations where 3 individual numbers can be chosen out of 60 possible numbers using the binomial coefficient:

Thus, Elias can make 34,220 unique 3-number codes given 60 different numbers.
Answer:
The slope is
.
Step-by-step explanation:
Math Vocabulary Values
Vertical Change -1
Horizontal Change 3
Slope 
Answer:
a) ⅓ units²
b) 4/15 pi units³
c) 2/3 pi units³
Step-by-step explanation:
4y = x²
2y = x
4y = (2y)²
4y = 4y²
4y² - 4y = 0
y(y-1) = 0
y = 0, 1
x = 0, 2
Area
Integrate: x²/4 - x/2
From 0 to 2
(x³/12 - x²/4)
(8/12 - 4/4) - 0
= -⅓
Area = ⅓
Volume:
Squares and then integrate
Integrate: [x²/4]² - [x/2]²
Integrate: x⁴/16 - x²/4
x⁵/80 - x³/12
Limits 0 to 2
(2⁵/80 - 2³/12) - 0
-4/15
Volume = 4/15 pi
About the x-axis
x² = 4y
x² = 4y²
Integrate the difference
Integrate: 4y² - 4y
4y³/3 - 2y²
Limits 0 to 1
(4/3 - 2) - 0
-2/3
Volume = ⅔ pi
Answer:
The equation of the line passing through the points (-7,25) and (-4,13) in slope-intercept form is 
Step-by-step explanation:
Equation of line passing through the points (-7,25) and (-4,13) in slope-intercept form.
The general equation of slope-intercept form is: 
First we need to find slope
The formula used for finding slope is: 
We are given: 
Putting values in formula and finding slope

So, slope m= -4
Now finding y-intercept
Using slope m=-4 and point (-7,25) we can find y-intercept

So, y-intercept b =-3
Now, the equation of required line having slope m=-4 and y-intercept b=-3 is:

So, the equation of the line passing through the points (-7,25) and (-4,13) in slope-intercept form is 