Answer:
u=1
Step-by-step explanation:
6x2u+12+7u+3=6u+30-2u=19u+15=4u+30=19u=4u+15
Consider, in ΔRPQ,
RP = R (Radius of larger circle)
PQ = r (radius of smaller circle)
We have to find, RQ, by Pythagoras theorem,
RP² = PQ²+RQ²
R² = r²+RQ²
RQ² = R²-r²
RQ = √(R²-r²
Now, as RQ & QS both are tangents of the smaller circle, their lengths must be equal. so, RS = 2 × RQ
RS = 2√(R²-r²)
Answer:
The estimated area is 
Step-by-step explanation:
we know that
To estimate the area that Ivan will paint , calculate the area of one wall and then multiply by 3
step 1
Convert the dimensions to an improper fractions
step 2
Find the area of one wall
step 3
Multiply the area of one wall by 3
step 4
Convert to mixed number
In both cases you may well benefit from graphing the functions.
Do you recognize f(x) = (x + 1)^2 - 1 as a quadratic function, whose graph is that of a parabola that opens up? By comparing this to y = a(x-h)^2 + k, we see that a=1, h= -1 and k = -1. The vertex is at (h,k), which here is the point (-1, -1). This is the minimum value of the function. Thus, the range of this function is [-1, infinity).
Now for the function f(x) = 7x - 11: This is a linear function whose graph is (surprise!) a straight line. When x increases, y increases, without limits to either. Similarly, when x decreases, y decreases.
Thus the range includes all real numbers: (-infinity, infinity).
The answer is option d) T(Q+6.5) = R
