The system of equations represented by the graph is:
y = x - 6
y + x = -2
And the solution is (2, -4), then the correct option is the first one.
<h3>
What system is represented by the graph?</h3>
On the graph, we can see a system of linear equations, we can see a line with a positive slope and a line with a negative slope.
The line with a positive slope intercepts the y-axis at y = -6, then that line is:
y = a*x - 6
with a > 0.
The other line passes through the y-axis at y = -2, then the linear equation is:
y = b*x - 2
Where b < 0.
Also, remember that the solution for the system of equations is the point where the two lines intersect, so we can see that the solution is at (2, -4)
The only option that meets all the criteria is the first option:
y = x - 6
x + y = -2
And the solution is (2, -4)
Learn more about systems of equations:
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Answer:
20 x 30 + 11 - 8
Step-by-step explanation:
Answer:
Plane B is closer.
Step-by-step explanation:
Plane B is closer.
The distance for Plane A is 7.9 km.
The distance for Plane B is 7.4 km.
Step-by-step explanation:
To find the distance to the tower, altitude must be converted to kilometers. Each 1000 ft is 0.3048 km, so the heights of the planes are ...
-- Plane A: (20 thousand ft)*(0.3048 km/thousand ft) = 6.096 km
-- Plane B: (8 thousand ft)*(0.3048 km/thousand ft) = 2.4384 km
The Pythagorean theorem can be used to find the distance from each plane to the tower:
-- distance = √((ground distance)² + (height)²)
-- Plane A distance = √(5² +6.096²) ≈ √62.16 ≈ 7.9 . . . km
-- Plane B distance = √(7² +2.4384²) ≈ √54.95 ≈ 7.4 . . . km
The distance for Plane B is shorter, so Plane B is closer to the tower.
Answer:
22
lets say that mike's age is x.
then gabrielle's age is 3x
that means that
x+3x=88
4x=88 /:4
x=22
Answer:
<u>Initial volume:</u>
<u>Increased volume:</u>
<u>Volume of the medallion:</u>
Density = mass / volume
<u>Density is:</u>
