Answer:
7/3
Step-by-step explanation:
The distances have the ratio ...
(Q -P) = (2/3)(R -P)
Q = P +(2/3)R -(2/3)P = (2R +P)/3
Qy = (2Ry +Py)/3 = (2·0 +7)/3 = 7/3
Answer:
<h2>34</h2><h2 />
Step-by-step explanation:
| 2 - 4a | - 2(b - 7)
let a = 3, b = -5
substitute a = 3, b = -5 into the equation:
| 2 - 4a | - 2(b - 7)
= | 2 - 4(3) | - 2(-5 - 7)
= | 2 - 12 | - 2(-12)
= | -10 | + 24
= 10 + 24
= 34
RHS-
(x+y)(x²-xy+y²)
=x(x²-xy+y²)+y(x²-xy+y²)
=x³-x²y+xy²+x²y-xy²+y³
(CANCEL THE POSSIBLE TERMS)
=x³+y³
=LHS
therefore verified
Answer:
a = 2, b = - 3, c = - 8
Step-by-step explanation:
Expand f(x) = a(x + b)² + c and compare coefficients of like terms, that is
a(x + b)² + c ← expand (x + b)² using FOIL
= a(x² + 2bx + b²) + c ← distribute parenthesis by a
= ax² + 2abx + ab² + c
Compare like terms with f(x) = 2x² - 12x + 10
Compare coefficients x² term
a = 2
Compare coefficients of x- term
2ab = - 12, substitute a = 2
2(2)b = - 12
4b = - 12 ( divide both sides by 4 )
b = - 3
Compare constant term
ab² + c = 10 , substitute a = 2, b = - 3
2(- 3)² + c = 10
18 + c = 10 ( subtract 18 from both sides )
c = - 8
Then a = 2, b = - 3, c = - 8
Answer:
0.3636 repeating
Step-by-step explanation:
When you divide them, it is 0.36363636 going on forever.
