Answer:
Step-by-step explanation:
We can solve this in either of two ways. I'll do both.
<u>Mathematically</u>
3x + 2y = 8
5x + 2y = 12
Rewrite either equation to isolate y. I'll use
3x + 2y = 8
2y = 8 - 3x
y = (8-3x)/2
Now use this value of y in the other equation:
5x + 2y = 12
5x + 2((8-3x)/2) = 12
5x + (8 - 3x) = 12
2x = 4
x = 2
Use x=2 to find y:
y = (8-3x)/2
y = (8-3*(2))/2
y = (8-6)/2
y = 1
The point is (2,1)
<u>Graphically</u>
Graph the two equations and find the point they intersect. See attachment.
We obtain the same answer: (2,1)
Answer:
27°
Step-by-step explanation:
we have the 'opposite' as length 2 is opposite the angle θ
we have the adjacent (length 4) which is next to the angle θ
the hypotenuse is the longest side (we don't need)
Using SOHCAHTOA
we use TOA as O is opposite and A is adjacent
tanθ = opposite ÷ adjacent
tanθ = 2 ÷ 4
using the inverse sign to find θ
θ = tan⁻¹(2/4) = 27° (to the nearest whole degree)
Answer:
6x-16
Step-by-step explanation:
2(3x-8)
distribute the 2
2 x 3x = 6x
2 x -8 = -16
Answer:
Through a given point there passes: one and only one line perpendicular to a plane. one and only one plane perpendicular to a line.
Step-by-step explanation:
The result of our calculations about the rate and time are:
<h3>What is rate?</h3>
Rate can be regarded as the given object with respect to time.
falcon flies= 800,000 meters
t= 4 hours
We were given the formula as (d = rt)
d= distance
r = rate
t = time
We can make our calculations as:
part a:
r=d/t
part b:
falcon's rate in meters per hour = 800,000 meters / 4 hours = 200000m/hr
part c:
falcon's rate in kilometers per hour=(200000m/hr *(1/1000)=200km/hr
part d:
km/hr
Learn more about rate at:
brainly.com/question/8728504
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