Please help 20 points!
1 answer:
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Let's make the first even integer m and the second even integer n. The square of the first, decreased by the second is 130 is:
-n=130 ---> Add n to each side
=130+n ---> Take the square root of each side
m=±
Let's look at the first square number above 130, which is
. <em>m</em> is 12, therefore the next consecutive even integer is 14.
=144
144-14=130
The two consecutive integers are 12 and 14
m=±
Let's look at the first square number above 130, which is
144-14=130
The two consecutive integers are 12 and 14
Answer:
Total number of points in the test = 100
Total number of items in the test = 40
Let number of items of 2 points be x and number of items of 3 points be y.
Now, using the given information the situation can be represented by using the following equations :
⇒ x + y = 40 .........(1)
⇒ 2x + 3y = 100 .........(2)
The matrix equation is :
By solving the equation (1) and equation (2), we get :
Solution : x = 20 and y = 20