You set 49 equal to 8x - 15
So
8x - 15 = 49
+15 + 15
8x = 64
Then divide by 8
X= 8
Answer: Then the graph of the function f(x) will change shifting vertically down (because the negative sign in 4) by 4 tons.
Option c. The line will shift vertically down by 4 tons.
Solution:
Total weight of a coal car: f(x)=x+30
How will the graph of this function change if the coal car weight is changed to 26 tons?
The total weight of the coal car would be: g(x)=x+26
f(x)=x+30
30=26+4
f(x)=x+26+4
g(x)=x+26
f(x)=g(x)+4
Subtracting 4 both sides of the equation:
f(x)-4=g(x)+4-4
f(x)-4=g(x)
g(x)=f(x)-4
Then the graph of the function f(x) will change shifting vertically down (because the negative sign in 4) by 4 tons.
Answer:
1) The square ABCD was dilated to form square A'B'C'D' using a scale factor of 1/2
2) The pair of polygons is not similar because their corresponding sides are not proportionals.
Step-by-step explanation:
1) Scale factor: f=?
f=Final dimension / Initial dimension
f=A'B'/AB=B'C'/BC=C'D'/CD=A'D'/AD
f=2/4
Simplifying the fraction dividing the numerator and denominator by 2:
f= (2/2) / (4/2)
f=1/2
2) Let's check the proportion between their corresponding sides:
AM/A'M'=(11 ft)/(9.4 ft)=1.17
HT/H'T'=(11 ft)/(9.4 ft)=1.17
HM/H'M'=(10 ft)/(8.4 ft)=1.19
AT/A'T'=(10 ft)/(8.4 ft)=1.19
AM/A'M'=HT/H'T'=1.17 but different to 1.19=HM/H'M'=AT/A'T'
Then, the pair of polygons is not similar
Answer:
The answer is 155.
Step-by-step explanation:
We can find the remaining parts of the triangle angles.