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Apply the Keep Flip Change rule here
1/4 has been kept the same
The sign has been changed
The other fraction needs to be flipped
Thus, z = -2/7
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Answer:
y=-2x+14
Step-by-step explanation:
If we are looking for a line parallel to 2x+y=5.
Then we are looking for an equation with the same slope as the equation 2x+y=5.
To obtain the slope of equaiton 2x+y=5 I will put it in slope-intercept form.
Luckily there is only one step which is to subtract 2x on both sides.
y=-2x+5
The slope of this line is -2
The slope of parallel line will also be -2.
So we know our equation is in the form y=-2x+b
To find b we will just use the point (x,y)=(5,4) we know is on the line.
Plug in and solve for b.
4=-2(5)+b
4=-10+b
14=b
So the equation that is parallel to 2x+y=5 and goes through (5,4) is y=-2x+14
Answer:
7 patrons don't like any those coffee drinks.
Step-by-step explanation:
Answer:
A=P(1+
100
R
)
n
A=10000(1+0.1)
3
=13310
Step-by-step explanation:
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There are four (4) diagonals: 3 face diagonals and one space diagonal. We assume you are interested in the space diagonal.
The face diagonal of the 3×4 face has length
d₃₄ = √((3 ft)² +(4 ft)²) = √(25 ft²) = 5 ft
Taking the 5 ft edge and the 5 ft face diagonal as sides of the triangle with the space diagonal as its hypotenuse, we find the length of the space diagonal to be
d = √((5 ft)² +(5 ft)²)
d = 5√2 ft
The space diagonal of the rectangular solid is 5√2 ft ≈ 7.07 ft.