What number would you multiply the second equation by in order to eliminate the x-terms when adding to the first equation?
It's 2 (to get - 4x & 4x + - 4x = 0)
What number would you multiply the second equation by in order to eliminate the y-terms when adding to the first equation?
It's 3 (to get 9y & - 9y + + 9y =0)
Hope this helps!
Answer: D. 3.50+4.00x≤20
Step-by-step explanation:
According to the question,
Total amount spent = (price of a pint of blueberries)+ (Price per pint of raspderries)(number of pints of raspberries)
Total amount he can spend must be less than or equal to $20
x=number of pints of raspberries
As per given,
, required equation
Hence, D is the correct option
Answer:
A = 216 cm^2
P = 80 cm
Step-by-step explanation:
l = 12
w = 18
As the object is rectangular, the area is height * width and the perimeter is
2(height + width) as there are two of each side.
12 * 18 = 216 U^2 U = unit of measurement, I would presume for a poster you use cm so its 216 cm^2
12 + 18 = 40
40 * 2 = 80 cm
Answer:
DA = 285.7 m
Step-by-step explanation:
First we need to find the side AB in the triangle ABC, and we can do this using Pythagoras' theorem:
AB^2 = BC^2 + AC^2
AB^2 = 300^2 + 400^2
AB^2 = 25000
AB = 500 m
We can find the angle ABC with the tangent relation:
tangent(ABC) = 400/300 = 4/3
ABC = 53.13°
From triangle ABC, we have:
ABC + BCA + CAB = 180°
53.13 + 90 + CAB = 180
CAB = 36.87°
From triangle DAC, we have:
DAC + ACD + CDA = 180
36.87 + 45 + CDA = 180
CDA = 98.13°
Now to find the side of DA, we can use law of sines in triangle DAC:
DA/sin(DCA) = AC/sin(CDA)
DA/sin(45) = 400/sin(98.13)
DA = 400 * 0.7071 / 0.9899 = 285.7258 m
Rounding to nearest tenth, we have DA = 285.7 m
