The height of a triangle is 8 centimeters greater than half its base. The area of the triangle is 48 square centimeters what is
1 answer:
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Answer:
Step-by-step explanation:
So when you express a linear function in slope-intercept form it's given in the form of y=mx+b, where m is the slope, and b is the y-intercept. This is because as x increases by 1, the y-value will increase by m (because multiplication), and since the slope is defined as rise/run, the rise will be m, and run will be 1, giving you a slope of m/1 or m. The reason b is the y-intercept, is because whenever the linear function crosses the y-axis, the x-value will always be 0. Meaning that mx will be 0 because m * 0 will equal 0... and that leaves b by it self, so b will determine the y-intercept.
So if you look at the graph, the linear function crosses the y-axis as (0, 2) so the value of b will be 2. This gives you the equation y=mx+2.
Now to calculate the slope, we can take any two points and see how much the rise was and how much the run was. It can also be more formally defined in the equation: . So let's take the points (0, 2) and (8, 8). As you can see the x-value increases by 8 or "ran" by 8, and the y-value increased by 6. So the rise over run in this case is 6/8 which can simplified as 3/4. That is the slope. This gives you the complete equation of:
Answer: 5 in.
Step-by-step explanation:
Given
The area of the square is
The side length of the square is
Area of square
Thus, value of a is 5 inch
Answer:
The actual water in the tank is 29.76 gallons.
Step-by-step explanation:
It is given that the farmer estimated amount of water is 25 gallons.
It is also given that he underestimate the water in tank by 16%.
Let the actual water in tank be x.
Therefore the actual water in the tank is 29.76 gallons.
9514 1404 393
Answer:
(-18, 14), (-9, 9), (9, -1), (18, -6)
Step-by-step explanation:
Since there is a 9 in the denominator of the coefficient of x, we will get integer solutions only if x is a multiple of 9. Suitable values meeting the problem requirements are x ∈ {-18, -9, 9, 18}. Then the corresponding values of y are ...
y = -5/9(-18) +4 = 10 +4 = 14
y = -5/9(-9) +4 = 5 +4 = 9
y = -5/9(9) +4 = -5 +4 = -1
y = -5/9(18) +4 = -10 +4 = -6
The four solutions we have found are ...
(-18, 14), (-9, 9), (9, -1), (18, -6)
