Answer:
Length = 12 feet
Width = 30 feet
Step-by-step explanation:
Let l be the length of the garden and let w be the width:
We have system of equations
2w + l = 54
l = 2w + 6
We substitute 2w + 6 for l
2w + 2w + 6 = 54
4w + 6 = 54
4w = 54 - 6
4w = 48
w = 48/4
w = 12 feet
Width(w) = 12 feet
We find the Length
l = 2w + 6
l = 2(12) + 6
l = 24 + 6
I = 30 feet
Point slope form is y-(-4) = 1/2(x-(-2)
y+4 =1/2 (x+2)
now the standard form 2y+8=x+2
so -x+2y=-6 is the equation for line p in standard form
X^2 = b^2-c^2
x^2= sqrt117^2-6^2
x^2=sqrt117×sqrt117-36
x^2=117-36
x^2=81
x=sqrt81
x=9cm
Answer 180 grams of insects
Explanation 7 •\• by 35 = 5 grams each/night.
36 x 5= 180 grams
Answer:
C. (2, 5)
Step-by-step explanation:
Looking at the answer choices, you can see that solving for y will tell you which choice is correct. We can eliminate x from the equations by adding 4 times the second equation to the first:
(8x -3y) +4(-2x +3y) = (1) +4(11) . . . . . adding the equations to eliminate x
9y = 45 . . . simplified; next we divide by 9
y = 5 . . . . . matches choice C
_____
Check
8(2) -3(5) = 16 -15 = 1
-2(2) +3(5) = -4 +15 = 11 . . . . the answer checks OK in both equations
