She can drive 558 miles with 18 gallons of fuel.
Step-by-step explanation:
Given,
Distance traveled with 5 gallons = 155 miles
Distance traveled with 1 gallon =
Total fuel hold by tank = 18 gallons
Total distance = Distance traveled with 1 gallon * Total fuel hold by tank
Total distance =
Total distance = 558 miles
She can drive 558 miles with 18 gallons of fuel.
Keywords: multiplication, unit rate
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Answer:
Using the formula for the distance between two points, which is generated using coordinates and absolute value, we find that the distance between these two points is of 9 units.
Step-by-step explanation:
Distance between two points:
Suppose that we have two points, and
. The distance between them is given by:
This formula is generated using coordinates and absolute value.
In this question:
(3,-7) and (3,2). So
The distance between these two points is of 9 units.
Answer:
yes
Step-by-step explanation:
The line intersects each parabola in one point, so is tangent to both.
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For the first parabola, the point of intersection is ...
y^2 = 4(-y-1)
y^2 +4y +4 = 0
(y+2)^2 = 0
y = -2 . . . . . . . . one solution only
x = -(-2)-1 = 1
The point of intersection is (1, -2).
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For the second parabola, the equation is the same, but with x and y interchanged:
x^2 = 4(-x-1)
(x +2)^2 = 0
x = -2, y = 1 . . . . . one point of intersection only
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If the line is not parallel to the axis of symmetry, it is tangent if there is only one point of intersection. Here the line x+y+1=0 is tangent to both y^2=4x and x^2=4y.
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Another way to consider this is to look at the two parabolas as mirror images of each other across the line y=x. The given line is perpendicular to that line of reflection, so if it is tangent to one parabola, it is tangent to both.
