in parallelogram EFGH
the mid point of diagonal EG is
(-3-5)/2,(1+5)/2=(-4,3)
similarly the midpoint of diagonal FH is
(0-2)/2,(2+6)/2=(-1,4)
Answer:
(g-f)(3) = 20
Step-by-step explanation:
g(3)=6 * (3) = 18
f(3)= 4-2(3) = 4 - 6 = -2
So
(g-f)(3) = 18 - (-2) = 20
Answer:
see explanation
Step-by-step explanation:
f(x) × g(x)
= 11(123x - 40) ← distribute
= 1353x - 440
Substitute x = - 4 into the product
= (1353 × - 4) - 440
= - 5412 - 440
= - 5852
She boils 500 L of water and makes 80 grams, we are being asked to covert and solve for how many grams of pasta she will make if she boils 2500 mL.
The first think we need to do is convert 2500 mL to how many Liters.
2500 mL = ? how many liters.
2500 ml = 2.5 liters
Now, we need to set up a proportion to see how many grams we can make if we boiled 2.5 liters of water.
Set up a proportion.
500/80 = 2.5/x
First, we cross multiply.
500*x = 80*2.5
500x = 200
Now, divide each side by 500 to solve for x.
500x/500 = 200/500
x= 0.4
Final answer: Margo can make 0.4 grams of pasta if he boils 2500 mL of water.
Calculation:
(Length) (width) (height)
(2w+4) (w) (18-w) = 1152
(2w^2+4w) (18-w) = 1152
Distributive property:
36w^2 -2w^3+72w-4w^2 =1152
Remember to use FOIL method:
-2w^3 +32w^2+72w-1152 =0
Like terms:
-2(w^3-16w^2-36w+576) = 0
Factor it by 2:
w^3 -16w^2-36w+576 =0
Simplify:
w^2(w-16)-36(w-16) =0
(w^2-36) (w-16) = 0
w= -6,6,16
Width:
w = 6,16
Since width is 16, then the height should be less than the width (18-16=2)
Length of gift bag: 2(6)+4
=16 inches.
Width of the bag: 6
Height of the bag: 18-6
12 inches.
Answer: 16, 6 and 12 inches.
