Ans(a):
Given function is
we know that any rational function is not defined when denominator is 0 so that means denominator x+4 can't be 0
so let's solve
x+4≠0 for x
x≠0-4
x≠-4
Hence at x=4, function can't have solution.
Ans(b):
We know that vertical shift occurs when we add something on the right side of function so vertical shift by 4 units means add 4 to f(x)
so we get:
g(x)=f(x)+4
We may simplify this equation but that is not compulsory.
Comparision:
Graph of g(x) will be just 4 unit upward than graph of f(x).
Ans(e):
To find value of x when g(x)=8, just plug g(x)=8 in previous equation
4x-3x=-1-16
x=-17
Hence final answer is x=-17
Letter A does not show a linear function!
Answer:
6.14
Step-by-step explanation:
Find area of shaded region:
regtangle area - circle area = shaded area
Regtangle area:
3x3=9
Circle area:
Pi (3.14) x radius x radius= 3.14
area all together if shaded region
9-3.14=6.14
We can use a modified form of the Pythagorean Theorem to find the length of x, also known as side b.
Pythagorean Theorem:
a^2 + b^2 = c^2
We can fill in the values of a^2 and c^2, and then solve for b.
14^2 + b^2 = 25^2
196 + b^2 = 625
Subtract 196 from both sides.
b^2 = 429
√ both sides.
b = 20.7
<h3>The value of x, or b, is equal to 20.7.</h3>
Answer:
Angle A = 29°
Step-by-step explanation:
Remember one thing that when two secants intersect in the exterior of a circle then A=1/2(mDE-mBC) it means that the measure of the angle formed is one half the difference of the measures of the intercepted arcs
Now put the values in the equation.
A=1/2(mDE-mBC)
A=1/2(70-12)
A=1/2(58)
A = 29°
Thus angle A = 29° ....