Answer:
C. 2
Step-by-step explanation:
The grid markings are the same distance apart in the x- and y-directions, so a line with slope 1 will make a 45° angle with the x-axis. Your line is steeper than that, so has a slope more than 1.
Your line goes up to the right, so its slope is positive.
The only answer choice that is a positive number more than 1 is ...
... C. 2
_____
The slope is computed as the ratio of rise (vertical change) to run (horizontal change). The two marked points tell you the vertical change is from y=-4 to y=6, a change of 6-(-4) = 10. The horizontal change is from x=1 to x=6, a change of 6-1 = 5.
Then the ratio of rise to run is 10/5 = 2. This matches answer C.
<h3>
Answer: 62</h3>
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Explanation:
18 people get off, and 21 get on
We can write the 18 as -18 to indicate a loss of 18 people. The 21 as +21 to mean we gained 21 people.
The net change is -18+21 = +3 or simply 3.
After the first stop, 3 more people are on the train compared to before reaching this stop.
If x is the number of people before the stop, then x+3 is the number of people after the stop. Set this equal to 65 and solve for x.
x+3 = 65
x = 65-3
x = 62 people were on the train to begin with.
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Check:
62 people to start off
62-18 = 44 people after the 18 people get off
44+21 = 65 people after the 21 new people get on
The answer is confirmed.
Answer:
.
Step-by-step explanation:
Step One: Simplify the square roots.
.
The square root of 8 can be simplified as the product of an integer and the square root of 2:
.
As a result,
.
Step Two: Expand the product of the two binomials.
is the product of two binomials:
- Binomial One: .
- Binomial Two:
Start by applying the distributive law to the first binomial. Multiply each term in the first binomial (without brackets) with the second binomial (with brackets)
Now, apply the distributive law once again to terms in the second binomial.
.
Step Three: Simplify the expression.
The square of a square root is the same as the number under the square root. For example, .
.
Combine the terms with the square root of two and those without the square root of two:
.
Factor the square root of two out of the second term:
.
Combining the steps:
.
Answer:
4x-3y+20
Step-by-step explanation:
x=6.875
y=2.5
2x+y=30
x=12.5
y=-5
Answer:14.5
Step-by-step explanation: