Answer:
are this if its a function or not?
Answer:
B and D
Step-by-step explanation:
The g(x) = 725 makes no sense to me....
however g(x) = -2x/(x-3) can be solved by plugging x = value into function
a) g(x) = -2x/(x-3)
g(0) = -2(0)/(0-3) = -3
= 0/-3 = 0 ≠ -3 FALSE
b) g(x) = -2x/(x-3) = 1
g(1) = -2(1)/(1-3) = 1
= -2 / -2 = 1 equals 1 TRUE
c) g(x) = -2x/(x-3)
g(2) = -2(2)/(2-3) < g(4) = -2(4)/(4-3)
= -4 / -1 < -8 / 1
= 4 is greater than - 8 FALSE
d) g(x) = -2x/(x-3) both values were already calcuated
g(1) = -2(1)/(1-3) = 1 < g(2) = -2(2)/(2-3) = 4
1 < 4 TRUE
Answer:
Option A: P ≈ 38.7 in, A ≈ 63.7 in²
Step-by-step explanation:
We are told that △MNO ~△DEF. This means that they are similar triangles.
We can solve for this using scale factor.
a) Perimeter of △MNO
The scale factor of two similar triangles is equal to the ratio of the perimeter of the triangles
Scale factor(k) = ratio of the sides of the triangles
In the diagram we are given
Side of △MNO = 6.7in
Side of △DEF = 9in
Perimeter of △MNO = X
Perimeter of △DEF = 52in
Scale factor (k) = 6.7/9
Hence,
6.7/ 9 = X/52
Cross Multiply
9X = 6.7 × 52
X = 6.7 × 52/9
X = 38.711111111 inches
To the nearest tenth, Perimeter of △MNO = 38.7 inches
b) Area of △MNO
The square of the scale factor of two similar triangles is equal to the ratio of area of the triangles
Scale factor(k) = ratio of the sides of the triangles
In the diagram we are given
Side of △MNO = 6.7in
Side of △DEF = 9in
Area of △MNO = Y
Area of △DEF = 115in²
Scale factor (k) = 6.7/9
Hence,
(6.7/ 9)² = Y/115
6.7²/9² = Y / 115
Cross Multiply
9² × Y = 6.7² × 115
Y = 6.7²× 115 /9²
Y = 63.732716049 square inches
To the nearest tenth, Area of △MNO = 63.7 in²
<h3>
Answer: 1075 square feet</h3>
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Explanation:
As shown in the diagram below, I've drawn a blue horizontal line to split the figure into two rectangles (smaller one up top, larger down below).
The smaller rectangle up top is 25 ft by 8 ft, giving an area of 25*8 = 200 sq ft.
The larger rectangle down below is 35 ft by 25 ft so we have an area of 35*25 = 875 sq ft.
The total area is 200+875 = 1075 square feet
Notes:
- We can write "square feet" as "sq ft" or as "ft^2" without quotes.
- The portion "5 ft", in the upper left corner, is never used.
Answer:
D for the first one and B for the second one
Step-by-step explanation:
