Answer:
A; the actual length of the land bridge from P to H is 50 yards
Step-by-step explanation:
Here in this case, given the coordinates of P and H, we want to calculate the actual length of the distance between the two points.
Mathematically, to calculate this distance, we make use of the distance formula;
D = √(x2-x1)^2 + (y2-y1)^2
In this case, (x1,y1) = (2,55) while (x2,y2) = (32,15)
Substituting these values
D = √(32-2)^2 + (15-55)^2
D = √(-30)^2 + (-40)^2
D = √(900 + 1600)
D = √(2,500)
D = 50 units
Now, we know that each units represent 1 yard, thus 50 units will represent 50 * 1 = 50 yards
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Answer:
The x-intercepts of the graph of the function are -9 and 4
Step-by-step explanation:
- factor the function f(x)=x²+5x-36
- f(x)=(x+9)(x-4)
- x = -9, 4
The first method is substitution. This is when the x or y value that is known is substituted into one of the equations. This should be done when you can easily see or find the x or y value.
Example: x = 3, and x + 8y = 30.
The x was given in the first equation (x = 3), and can therefore be substituted into the other equation to find y.
The next method is elimination. This is when you add the two systems together and eliminate either the x values or the y values. This should be done when there are opposite signs of the same number in both equations.
Example: y - 3x = 24, and 2y + 3x = 7
In the first equation you have -3x, and in the second you have 3x. If you were to add the two equations, the x values would cancel out and you would be left with:
y + 2y = 24 + 7
And then you could solve for y.
The last method is to graph both equations and to see at which point the lines intersect.
Answer:
y = -3x -2.5
slope: -3
y-intercept: -2.5
Step-by-step explanation:
Solve for y.
-4y = 12x + 10 . . . . . add 12x to get the y-term by itself
y = -3x -2.5 . . . . . . .divide by the coefficient of y
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The slope is the coefficient of x, -3.
The y-intercept is the constant, -2.5.
