Answer:
Each girl scores 8 points while each boy scores 4 points
Step-by-step explanation:
Let the number of point scored by the 7 girls and 2 boys be x and y respectively.
Thus, since 7 girls and 2 boys scored a total of 64 points, then;
7x + 2y = 64 - - - (1)
Also, difference between the number of points scored by the 7 girls and the number of points scored by the 2 boys is 48. Thus;
7x - 2y = 48 - - - (2)
Add eq(1) to (eq 2) to get;
14x = 64 + 48
14x = 112
x = 112/14
x = 8
Put 8 for x in eq(1) to get;
7(8) + 2y = 64
56 + 2y = 64
2y = 64 - 56
2y = 8
y = 8/2
y = 4
Thus,each girl scores 8 points while each boy scores 4 points
Answer:
(x + 2) • (x - 19)
Step-by-step explanation:
Step-1 : Multiply the coefficient of the first term by the constant 1 • -38 = -38
Step-2 : Find two factors of -38 whose sum equals the coefficient of the middle term, which is -17 .
-38 + 1 = -37
-19 + 2 = -17 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -19 and 2
x2 - 19x + 2x - 38
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-19)
Add up the last 2 terms, pulling out common factors :
2 • (x-19)
Step-5 : Add up the four terms of step 4 :
(x+2) • (x-19)
Which is the desired factorization
No, It’s not a right triangle.
We can prove by using Pythagoras theorem
Let the longest length be hypotenuse and shortest length be base now,
h^2=p^2+b^2
16^2=13^2+8^2
256=169+64
246=233
Hence it is not equal with hypotenuse
In right triangle the sum of the squares of two short sides should be equal to hypotenuse
Answer:
59, 60, and 61
Step-by-step explanation:
59+60+61=180
