Answer:
(2, -1)
Step-by-step explanation:
We can add the first equation by the second
(4x + 6y = 2)+(-4x + 4y = -12)=
10y=-10
we divide both sides by 10 to get
y=-1
We plug -1 in the second equation to get:
-4x+4(-1)=-12
-4x-4=-12
-4x=-8
Now, we divide both sides by -4
x=2
Hope this helps!
10 inches your hypotenuse is always going to be equal or bigger than the sum of the two sides
Answer:
Number of small boxes shipped = 7
Number of large boxes shipped = 15
Step-by-step explanation:
Let the number of small boxes = s
And the number of large boxes = l
Weight of small box = 25 pound
Weight of the large box = 50 pounds
Total weight of the shipment = 925 pounds
Therefore, equation for the weight of shipment will be,
25s + 50l = 925
s + 2l = 37 ----- (1)
Total number of boxes shipped = 22 boxes
Therefore, equation will be,
s + l = 22 ------(2)
Subtract equation (2) from equation (1)
(s + 2l) - (s + l) = 37 -22
l = 15
From equation (2)
s + 15 = 22
s = 7
Therefore, number of small boxes shipped = 7
Number of large boxes shipped = 15
The best linear model for the data that's illustrated will be y = 10x + 5
<h3>What is a linear model?</h3>
It should be noted that a linear model simply means model where the terms are added. It should be noted that this can be used in connection with the regression model.
Here, the best linear model for the data will be:
= (10 × x) + 5
= 10x + 5
Therefore, the best linear model for the data that's illustrated will be y = 10x + 5.
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By using trigonometric relations, we will see that the angle of elevation must be 55°.
<h3>
How to find the angle of elevation?</h3>
We can see this as a right triangle, where one cathetus measures 1250ft (altitude) and the other cathetus measures 875ft.
The angle of elevation is the angle such that the adjacent cathetus is the one measuring 875ft.
Then we can use the relation:
tan(a) = (opposite cathetus)/(adjacent cathetus)
tan(a) = 1250ft/875ft
To find the angle of elevation, we can use the inverse tangent function:
a = Atan(1250ft/875ft) = 55°
The angle of elevation must be 55 degrees.
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