Need help with this one
1 answer:
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Answer:
27,0 the distance away from the school
Step-by-step explanation:
Apply the formula for equation of a straight line;
y=mx+c where c is the y intercept , and m is the gradient
From the graph, the slope is negative where speed decreases with increase in time
Find the gradient by applying the formula;
Taking y₁=24, y₂=20, x₁=9, x₂=12
Then;
write the equation of the function as ;
y=mx+c, c=36( the y-intercept when x=0) hence the equation is;
To get x-intercept, substitute value of y with 0
This means that the x-intercept is 27 ,and this means you will require 27 minutes to cover the whole distance to the school.
to be a parallelogram its front sides must be equal to each other
so, we equalize the length of two sides that are face to face
and solve for w
the value of w must be 10
Answer:
-2
Step-by-step explanation:
Since it would be immensely helpful to know the equation of this parabola, we need to figure it out before we can continue. We have the work form of a positive upwards-opening parabola as
where a is the leading coefficient that determines the steepness of lack thereof of the parabola, x and y are coordinates of a point on the graph, and h and k are the coordinates of the vertex. We know the vertex: V(-3, -3), and it looks like the graph goes through the point P(-2, -1). Now we will fill in the work form equation and solve for a:
which simplifies a bit to
and
-1 = a(1) - 3. Therefore, a = 2 and our parabola is
Now that know the equation, we can find the value of y when x = -3 (which is already given in the vertex) and the value of y when x = -4. Do this by subbing in the values of x one at a time to find y. When x = -3, y = -3 so the coordinate of that point (aka the vertex) is (-3, -3). When x = -4, y = -1 so the coordinate of that point is (-4, -1). The average rate of change between those 2 points is also the slope of the line between those 2 points, so we will use the slope formula to find it:
And there you have it! I'm very surprised that this question sat unanswered for so very long! I'm sorry I didn't see it earlier!