Answer:
x² + 10x + 25
Explanation:
Before we begin, remember the following:
(a + b)(a + b) = (a + b)² = a² + 2ab + b²
Now, for the given we have:
(x + 5)(x + 5)
We can note that the two brackets are identical.
Therefore, we can apply the above rule as follows:
(x + 5)(x + 5) = (x + 5)²
= (x)² + 2(x)(5) + (5)²
= x² + 10x + 25
Hope this helps :)
Step-by-step explanation:
Say y=ax+b. It goes through (0,8) and (4,0). Therefor we can say 8=a(0)+b which gives us b=8. Then we fill in (4,0) which results in 0=a(4)+8. Given that, a=-2. so y=-2+8
Answer:
congruent
Step-by-step explanation:
In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.
so yes, they are congruent because they have the same angle
Answer:
18
Step-by-step explanation:
i am smart
Answer:
The answer to your question is x² + y² - 8x - 6y = 0
Step-by-step explanation:
Data
P (1, 7)
Q (8, 6)
R (7, -1)
Use the general equation of the Circle
x² + y² + Dx + Ey + F = 0
Process
1.- Substitute each point in the general equation and simplify
For P
(1)² + (7)² + D + 7E + F = 0
1 + 49 + D + 7E + F = 0
50 + D + 7E + F = 0
D + 7E + F = -50 Equation l
For Q
(8)² + (6)² + 8D + 6E + F = 0
64 + 36 + 8D + 6E + F = 0
100 + 8D + 6E + F = 0
8D + 6E + F = -100 Equation ll
For R
(7)² + (-1)² + 7D - E + F = 0
49 + 1 + 7D - E + F = 0
50 + 7D - E + F = 0
7D - E + F = -50 Equation lll
Solve the system of equations, I do not include the process but the solutions are
D = -8 E = -6 F = 0
-Substitution
x² + y² - 8x - 6y = 0