Answer:
Step-by-step explanation:
Graph y = |x|. This graph is v-shaped, opening up, with vertex at (0, 0). Now translate this graph 4 units to the left and 2 units up. The result is the graph of g(x) = |x + 4| + 2.
Next time, please share the possible answer choices. Thanks.
The function g(x) is derived from the function f(x) by translating f(x) graph 4 units to the left and 2 units up
The equation of the function is given as:
The above is an absolute value function, and the equation of the parent function is:
This means that the function g(x) is derived from the function f(x) by translating f(x) graph 4 units to the left and 2 units up
Read more about function transformation at:
Since the triangle is right angled, we may use pythagoras theorem to find the third side.
Pythagoras theorem :-
KI^2 + JI^2 = KJ^2
substituting the known values in the formula,
x^2 + 3^2 = 5^2
x^2 + 9 = 25
x^2 = 25 - 9
x^2 = 16
x = √16
x = 4
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•°• value of x is 4cm
Answer:
23=5 is not a solution to an equation
Step-by-step explanation:
23=14-9
23=5
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It takes 6 hoursto complete the work for both Lisa and Tom working together.
Step-by-step explanation:
step 1 :
Let us assume that,
Total work = 130 units (take a number that can be divisible by both 10 and 13)
step 2 :
Lisa completes the work in 10 hours.
Lisa's work per hour=total work / time taken to complete the work
= 130 / 10 = 13 units per hour
step 3 :
Tom completes the work in 13 hours.
Tom's work per hour =total work / time taken to complete the work
= 130 / 13 = 10 units per hour
step 4 :
Both Lisa and Tom can work per hour = 13 units + 10 units
= 23 units per hour
step 5 :
Working together can complete the total work in = total work / time taken to complete the work together
= 130 units / 23 units per hour = 5.65 (which is approximately 6 hours).
∴ Time taken by working together = 6 hours.