Answer:
q = -6
Step-by-step explanation:
8(q + 6)
= (8×q) (8×6)
= 8q + 48
8q = -48
q = -48/8
q = -6
Answer:
Solution given:
principal [P]=P
time [T]=4 years
Rate [R]=13%
compound amount=18900
Simple interest=P-18900
we have
simple interest=
P-18900=
100P-1890000=52P
48P=1890000
P=1890000/48
P=39375
the sum that amounts =Rs 39375
Answer:
Dilation followed by Translation.
Step-by-step explanation:
We have the function
.
The new transformed function is 
Now, the transformation applied to f(x) to obtain g(x) are:
1. Dilation - it is the transformation that changes the size/shape of the figure. It is generally of the form kf(x) where k is constant.
Since, we are dilating the given function by 2 units, the new dilated function becomes
.
2. Translation - it is the transformation that shifts the figure in any direction. When the function is shifted vertically, the general form becomes f(x)+k.
As, we see that the new dilated function is shifted 3 units upwards, the final translated function becomes
.
Hence, the transformations applied to obtain g(x) from f(x) are Dilation followed by Translation.
Answer:
14.3
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
14^2 + 3^2 = c^2
196 + 9 = c^2
205 = c^2
Take the square root of each side
sqrt(205) = sqrt(c^2)
14.31782106 = c
Rounding to the nearest tenth
14.3 = c