Answer:
AC=15
BC=17
AB=?
According to Pythagore's Theorem: AB² + AC² = BC².
AB² = BC² - AC²
= (17)² - (15)²
= 289 - 225
AB² = 64
AB = √(64)
= 8.
So AB = 8.
Answer:
The last one, −2.1−(5.9+3.7)
Step-by-step explanation:
−2.1+(−5.9)+(−3.7) = -2.1-5.9-3.7 = -11.7
the only expression that will come out as -11.7 is the last one
Answer:
70
Step-by-step explanation:
2 + 10 = 12
84 ÷ 12 = 7
7 x 10 = 70
She graded 70 maths papers and 14 science papers.
Answer:
y= -4x^2 + 15x - 14
Step-by-step explanation:
A parabola is always in the form y = ax^2 + bx + c.
Substitute each point to produce different equations:
-14 = 0a + 0b + c = c
so c = -14
-3 = a1^2 + b1 + c = a + b - 14
so a + b = 11
0 = a2^2 + b2 + c = 4a + 2b -14 = 0
so 4a + 2b = 14
if we double a + b = 11 we get 2a + 2b = 22
Subtract this from 4a + 2b = 14 and we get 2a = -8 so a= -4 and b = 11 - a = 15
We don't need to use the (3,5) points as we have all the information we need.