what is the algebraic equation product of 3 and a squared number is twice the sum of the number and 4
1 answer:
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Answer:
slope = 4
Step-by-step explanation:
We can find the slope of a line when knowing 2 points by using the slope formula, .
and
represent the x and y values of the first point, respectively.
and
represent the x and y values of the second point, respectively.
The two points we have are (2,8) and (0,0). So, in this case, = 2,
= 8,
= 0, and
= 0. Let's substitute those values into the formula and solve to get the slope:
So, the slope is 4.
Answer:
to solve you would first need to convert them from mixed numbers to improper fractions. You can do this by multiplying the denominator with the whole number and then adding the numerator. Then you should make sure that the denominators are the same. You can do this by first finding a number that they will both multiply into. In this example it is 12. And when changing the denominator you must apply it to the numerator. So if you multiplied the denominator by 3 then you must multiply the numerator by 3. After you can just minus the numerators. However remember to keep the denominator the same. Then you can change it back into a mixed number by dividing the numerator by the denominator and having that whole number on the side of the fraction . lets say it is
then you would divide 13 by 6 which is 2 and a decimal and then minus the number that is multiplied by the numerator and it will give a number that is smaller than the denominator and then it would become
.
Step-by-step explanation:
1) Change the fractions to improper fractions.
2) Change the denominator to a common denominator.
3) Minus the Numerators.
4) Changing it to a mixed number
Okay, so lets break this down.
First of all, we have the rectangular garden with a length of 15ft and a width of 12feet. We need to find the area of this which is pretty simple. This would be 15ft times 12ft which is 180ft².
Okay, now time for the triangle. The way that it words it may be confusing but I can draw you a picture of what it looks like (its a quick draw so it looks kinda bad).
But, for the triangle we are going to extend the 12ft line (shorter side; width) and create a line that is 7 feet long. Then, we are going to find the midpoint of the 15ft side and connect that with the end point of the triangle.
Since its on the longer side and its the midpoint, the triangle is going to have a base of 7.5ft (half of 15). Then, the height is 7ft as included in the question.
Now to solve the area of a right triangle, you can use 1/2(bh). So 1/2 of the base times height.
This is 1/2 of (7.5*7) which is 1/2(52.5) and finally the area of the triangle is 26.25ft².
Now, all you gotta do is add the 26.25ft² and the 180ft² together and you get 206.25ft²
First of all, we have the rectangular garden with a length of 15ft and a width of 12feet. We need to find the area of this which is pretty simple. This would be 15ft times 12ft which is 180ft².
Okay, now time for the triangle. The way that it words it may be confusing but I can draw you a picture of what it looks like (its a quick draw so it looks kinda bad).
But, for the triangle we are going to extend the 12ft line (shorter side; width) and create a line that is 7 feet long. Then, we are going to find the midpoint of the 15ft side and connect that with the end point of the triangle.
Since its on the longer side and its the midpoint, the triangle is going to have a base of 7.5ft (half of 15). Then, the height is 7ft as included in the question.
Now to solve the area of a right triangle, you can use 1/2(bh). So 1/2 of the base times height.
This is 1/2 of (7.5*7) which is 1/2(52.5) and finally the area of the triangle is 26.25ft².
Now, all you gotta do is add the 26.25ft² and the 180ft² together and you get 206.25ft²