Answer:
k=17
Step-by-step explanation:
Given F(x)=2x+3 shifts 10 units when it is replaced with the graph f(x)=2x-k.
The method to solve this kind of questions is find where the graph meets the x axis then add ten units to it .The obtained x coordinate is the point where the second graph meets the x axis.
Now first find where the F(x)=2x+3 meets the x axis by substituting F(x)=0.
Now add 10 to this x coordinate , we get x1=
=
this is x coordinate where the second line meets the x-axis.
The second line is F(x)=2x-k.
now f(x)=0 and x=17/2
On substitution we get 
k=17
Answer:
12 pieces
Step-by-step explanation:
3/0.25 = 12 pieces
Answer:
∠ ADC = 53°
Step-by-step explanation:
Note the angle between the radius and the tangent is 90°
The sum of the angles in quadrilateral AOCB = 360°, thus
∠ AOC = 360° - (90 + 90 + 74 )° = 360° - 254° = 106°
∠ AOC is twice the angle on the circumference ∠ ADC, thus
∠ ADC = 106° ÷ 2 = 53°
Answer:
29
Step-by-step explanation:
Given the function f(x) = x/10x-3, if x = 0.30103;
substituting the value of x into the function;
f(0.30103) = 0.30103/10(0.30103) - 3
f(0.30103) = 0.30103/(3.0103 - 3)
f(0.30103) = 0.30103/0.0103
f(0.30103) = 29.226
f(0.30103) = 29 (to nearest whole number).
