In both the figures we have a Right Angled Triangle.
Two sides of the right angled triangles are given and we are to find the Third side. This can be done using the Pythagoras Theorem, which states:
Hypotenuse² = Base² + Perpendicular²
For 1st figure, we have
Base = 21
Perpendicular = 20
So,
Hypotenuse² = 20² + 21² = 841
⇒
Hypotenuse = 29 (1st option is correct)
For 2nd Image, we have
Base= 6
Hypotenuse = 10
So, we can write:
10² = 6² + Perpendicular²
Perpendicular² = 64
⇒
Perpendicular = 8 (Option Fourth)
Answer:
Step-by-step explanation:
2x^2-2x-12
This has solutions of x=3 and x= -2
25 is the answer hope it helped
Answer:
- 5x² - 11x + 2
Step-by-step explanation:
(f + g)(x) = f(x) + g(x)
f(x) + g(x)
= - 4x² - 6x - 1 + (- x² - 5x + 3)
= - 4x² - 6x - 1 - x² - 5x + 3 ← collect like terms
= - 5x² - 11x + 2
Answer:
q=<u>bp</u>
<u> </u><u> </u><u> </u><u> </u>a- cp
Step-by-step explanation:
<u>a</u> - <u>b</u><u> </u>= c
p q
Multiply through by pq
qa - bp = cpq
qa - cpq = bp
q [a-cq] = bp
q= <u>bp</u>
<u> </u><u> </u><u> </u><u> </u><u> </u>a-cp