7-12(3+b)=31
7-36+12b=31
-29+12b=31
12b=31+29
12b=60
b=5
Answer:
Yes, 9^2+40^2=41^2
Step-by-step explanation:
From the Pythagoras’ theorem, the square of the hypotenuse of a right triangle equals the sum of the squares of the two other sides
From what we have , the side lengths are 9, 40 and 41
As we can see, 41 is the longest side length and that makes it the hypotenuse
The square of the two other sides is 40^2 + 9^2 = 1,681
Also, 41^2 = 1,681
As we can see, the sum of the squares equal the square of the hypotenuse
Since this follows the theorem, we can conclude that the triangle is a right triangle
Answer:
It is 28 miles. It is much more simple than you are making it out to be in your head. Draw out the picture with 7 marks on a line. The first 3 marks were traveled Friday. After Friday, there are 4 marks left. On Saturday, 2 of those 4 remaining marks are traveled. On Sunday, the last two marks are traveled. The last two marks are 8 miles together, meaning that each mark is 4 miles a piece. Therefore, 7 times 8 is 28 miles.
Step-by-step explanation:
Answer:
$10.55
Step-by-step explanation:
Answer:
When f(x) is replaced by f(x+5), it will shift the parent function '5 units' to the left.
Step-by-step explanation:
- We know that when we add a number 'a' to the input of the function, it would move the parent function 'a' units to the left.
In other words, the rule is:
- f(x + a) will shift the parent function 'a units' to the left.
Given the function

Thus, when f(x) is replaced by f(x+5), it will shift the parent function '5 units' to the left.
- The effect on the graph of the linear parent function is shown in the attached diagram.
In the graph, the red line is representing the parent function f(x) and the blue line is representing the effect on the graph i.e. f(x+5).