Answer:
6.75, if you round it i guess 6.80
Step-by-step explanation:
Answer:
x²+1 is the second
Step-by-step explanation:
2x+24=40°
4x+43=75°
x²+1=65°
(2x+24) + (4x +43) + (x²+1)=180
x²+6x+68=180
x1=-14
x2=8
since there's no negative angle, we'll use x=8
Answser: the graph of g(x0 is obtained by shifting down 13 units. the graph of f(x).
Explanation:
It is a rule that when you add a constant to a function the graph is shifted upward the number of units that the constant represent, when the constant is posivite, or downward the number of units that the constant represent, whtn the constant is negative.
So, the graph of any function h(x) + k, being k a constant, will be the graph of h(x) shifted k units upward (if k iis positive) or downward (if k is negative).
Then, you have to find how many units you have to add to f(x) = 7x + 9 to become the function g(x) = 7x - 4. That is, find k in:
7x + 9 + k = 7x - 4
⇒ k = - 4 - 9 = - 13.
So, you have that the graph of g(x) = 7x - 4 is found when you add - 13 to add - 13 to the graph of f(x) = 7x + 9.
Which, as explained before is shifting 13 units down.
Answer:
Surface area is found:
Surface Area = 1700 cm²
Step-by-step explanation:
(The cereal box is shown in the ATTACHMENT)
The surface area of a rectangular prism can be found by added the areas of all 6 sides of the rectangular prism.
L = length = 20 cm
H = height = 30 cm
W = Width = 5 cm
Side 1:
A(1) = L×H
A(1) = 20×30
A(1) = 600 cm²
Side 2:
As the measurements of the side at the back of side 1 has the same measurement of side 1. then:
A(2) = 600 cm²
Side 3:
A(3) = L×W
A(3) = 20×5
A(3) = 100 cm²
Side 4:
As the measurements of the side at the back of side 4 has the same measurement of side 4. then:
A(4) = 100 cm²
Side 5:
A(5) = H×W
A(5) = 30×5
A(5) = 150 cm²
Side 6:
As the measurements of the side at the back of side 5 has the same measurement of side 5. then:
A(6) = 150 cm²
Surface Area:
Adding areas of all the sides
A(1) + A(2) + A(3) +A(4) + A(5) + A(6) = 600 + 600 + 100 +100 + 150 +150
Surface Area = 1700 cm²