Let
x = larger integer
y = smaller integer
The two integers (x and y) have a sum of 42 which means they add to 42
x+y = 42
solve for y to get
y = 42-x
simply by subtracting x from both sides
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The two integers have a difference of 22. This translates to "subtract the values and the result will be 22", i.e.,
x-y = 22
Plug in y = 42-x. Solve for x
x-y = 22
x-(y) = 22
x - (42-x) = 22
x - 42 + x = 22
2x - 42 = 22
2x - 42+42 = 22+42
2x = 64
2x/2 = 64/2
x = 32
If x = 32, then y is...
y = 42-x
y = 42-32
y = 10
Therefore,
x = 32
y = 10
The final answer is 10
Answer:
1 /1 ; 360°
Step-by-step explanation:
Start time = 2:30 pm
Stop time = 3:30 pm
Minute hand makes a complete revolution per hour ;
This means that the minutes hand revolves round the whole circle in one hour, hence fraction of the circle covered by the minute hand between 2:30 pm - 3:30 pm is 1/1 = 1
The angle turned by the minutes hand :
1 complete revolution = 360°
A circle covers 360°
1 /1 fraction of a circle = 1/1 * 360° = 360°
Hence, angle turned by the minute hand = 360°
The transformation from f(x) to g(x) is a vertical stretch by a factor of m
<h3>How to determine the transformation?</h3>
The functions are given as:
f(x) = x
g(x) = mx
Substitute f(x) = x in g(x) = mx
g(x) = mf(x)
From the question, we understand that:
m > 1
This means that;
The transformation from f(x) to g(x) is a vertical stretch by a factor of m
Read more about transformation at:
brainly.com/question/13810353
#SPJ1
Been a while since I've done this, but I think I remember what to do here:
The main technique is called "rise over run." The first number, the rise, is how far up the next dot on the right should be. The other number, the run, is how many spaces right the dot should be at. 1+(-2)=-1 and 8+3=11. The next dot on the right should be placed at (11,-1). If you're looking on the left, replace the addition with subtraction. 1-(-2)=3 and 8-3=5. The dot on the left should be (5,3). This means that the three dots on the slope are, in order, (5,3), (1,8), and (11,-1). To find the numbers after the third dot and before the first dot, simply repeat their respective equations.
I hope my memory was correct. Lol
