Answer:
C. 1:1
Step-by-step explanation:
In a 45 45 90 right triangle, the side lengths for the legs are both
x and the length of the hypotenuse is
write an equation in point-point form for the line through the given point with the givedescribe how the graph of y | x| -4 is l
ike the graph of y= |x| and how it is different. slope. (-3,-7); m=-6/5
1 answer:
a) The point-slope form of the equation of a line through point (h, k) with slope m is
y - k = m(x - h)
In point-slope form, the equation of the line through (-3, -7) with slope -6/5 is
y + 7 = (-6/5)(x + 3)
b) The graph of
y = |x|-4
represents a translation downward 4 units of the graph of
y = |x|
It retains the same general shape and axis of symmetry, but will have two (2) x-intercepts instead of one (1).
y - k = m(x - h)
In point-slope form, the equation of the line through (-3, -7) with slope -6/5 is
y + 7 = (-6/5)(x + 3)
b) The graph of
y = |x|-4
represents a translation downward 4 units of the graph of
y = |x|
It retains the same general shape and axis of symmetry, but will have two (2) x-intercepts instead of one (1).
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Answer:
y≤3
Step-by-step explanation:
5y+4≤22−y
<em>Step 1: Simplify both sides of the inequality.</em>
5y+4≤−y+22
<em>Step 2: Add y to both sides.</em>
5y+4+y≤−y+22+y
6y+4≤22
<em>Step 3: Subtract 4 from both sides.</em>
6y+4−4≤22−4
6y≤18
<em>Step 4: Divide both sides by 6.</em>
6y/6≤18/6
y≤3
Answer:
Step-by-step explanation:
Average rate of change is the same thing as the slope. Because this is parabolic, we cannot find the exact rate of change as we could if this were a linear function. But we can use the same idea. When t = 3, h(t) = 33, so the coordinate point is (3, 33). When t = 6, h(t) = 0, so the coordinate is (6, 0). Plug those values into the slope formula:
and
which is -11
From 3 to 6 seconds, the rocket is falling 11 yards per second.