Answer:
- Only one solution
- (x, y) = (-0.8, -3.6)
Step-by-step explanation:
You know there is only one solution because the ratio of x- and y-coefficients is different in the two equations. That means the lines will have different slopes, so must intersect in exactly one point.
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The y-coefficients are opposites, so you can eliminate the y-variable by adding the equations:
(2x -y) + (3x +y) = (2) + (-6)
5x = -4
x = -4/5 = -0.8
Substituting this into the second equation, we have ...
3(-0.8) +y = -6
y = -3.6 . . . . . . . add 2.4 to both sides
The solution is (x, y) = (-0.8, -3.6).
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You can also find the solution by graphing (or using a graphing calculator).
This problem is about triangles.
We must apply the trigonmetric relations to solve this.
I can see we have a right angle triangle.
Let's use the idea of the tangent.
tan (22º) = building height / shadow length
Let's plug given data on above formula:
tan(22º) = 610 ft / shadow length
I looked up and got tan(22º) = 0.40, so:
0.40 = 610 ft / shadow length
shadow length = 610 ft / 0.40
shadow length = 1,525 ft
Answer: shadow length is 1,525 ft .
Answer:
its the square root of 16
Step-by-step explanation:
because while 10 and 2 are whole numbers when you place the root it can't be expanded and pi is irrational
Answer:
Small flags = 108
large flags= 47
Step-by-step explanation:
Step one:
given
let the number of small lag be x
and big flags be y
so
3.5x+6.5y= 683.5----------1
x+y=155------------------------2
Step two:
from eqn 2 x= 155-y
put x= 155-y in eqn 1
3.5(155-y)+6.5y= 683.5
542.5-3.5y+6.5y=683.5
collect like terms
3y=141
divide by 3
y= 141/3
y=47
Step three:
put y= 47 in eqn 2
x+47=155
x= 155-47
x=108
Answer:
667 bagels in 23 hours
29 bagels per hour
Step-by-step explanation:
We first find the unit rate in bagels per hour.
(290 bagels) / (10 hours) = 29 bagels/hour
Now we find the number of bagels made in 23 hours.
23 hours * 29 bagels/hour = 667 bagels
