Answer:
length is 6feet and width is 3 feet
Step-by-step explanation:
Area of the garden = LW
Perimeter of the garden = 2(L+W)
L is the length
W is the width
Given
Area = 18 square feet
Perimeter = 18feet
Substitute
18 = LW ... 1
18 = 2(L+W)
9 = L+W .... 2
From 2;
L = 9-W
Substitute into 1
18 = (9-W)W
18 = 9W-W²
W²-9W+18 = 0
W²-6W-3W+18 = 0
W(W-6)-3(W-6) = 0
W-3 = 0
W = 3 feet
Since L = 9-W
L = 9-3
L = 6feet
Hence the length is 6feet and width is 3 feet
Answer:
Compare the y-intercepts and slopes of the linear functions f(x) and g(x) and choose the answer that best describes them.
x f(x)
0 1
2 9
4 17
g(x) = 3x + 1
A) The slope of f(x) is less than the slope of g(x). The y-intercept of f(x) is equal to the y-intercept of g(x).
B) The slope of f(x) is less than the slope of g(x). The y-intercept of f(x) is greater than the y-intercept of g(x).
C) The slope of f(x) is greater than the slope of g(x). The y-intercept of f(x) is equal to the y-intercept of g(x).
D) The slope of f(x) is greater than the slope of g(x). The y-intercept of f(x) is greater than the y-intercept of g(x).
Step-by-step explanation:
This is in gradient intercept form (or slope intercept form)
y = mx + b
in this case y = -1.2x + 26
so m (the slope) = -1.2
and the y intercept = 26
I'm not sure what intercept they're asking for.
if you wanted to find the x intercept, just substitute.
y = 0 and find x.
Answer:
Step-by-step explanation:
The area of a circle is A = πr², where r is the radius. That means in order to solve this we have to find the value of x, which is the diameter of the lake, and then divide it in half to get the radius. To find x we will use similar triangles and proportions. x is the height of the big triangle and 4.5 is the height of the smaller triangle; 15.3 + 7.4 is the hypotenuse of the big triangle and 7.4 is the hypotenuse of the smaller triangle. Setting up our proportion:
which simplifies a bit to
and cross multiply to solve for x:
7.4x = 102.15 so
x = 13.8 That is the diameter of the lake. Divide it in half to get 6.9, the radius. Applying the area formula for a circle:
A = (3.14)(6.9)² and
A = 3.14(47.61) so
A = 149.5 which rounds to 150, Choice C
Answer:
48
Step-by-step explanation:
Sam had 36 books
Jim had 12
after same gave Jim 12 books, they each had 24 books