Answer:
65 cm
Step-by-step explanation:
See the attached image. The Pythagorean Theorem says in a right triangle, (leg)^2 + (leg)^2 = (hypotenuse)^2.
Write an equation of the line in slope-intercept form. (hint: y = mx + b)
2 answers:
Answer:
Step-by-step explanation:
For 10:
First, you find the slope, You can use rise over run. Up 1 over -3. So our slope is . The y-intercept is 1 becuase that is where x = 0. Next, you plug in your points. y=-1/3 x+1.
For 11:
Find the slope using "rise over run" once we get 6/3 we simplify to 2.
Next the y-intercept. Find where x is 0, that is -1.
Plug the points in to get
y=2x-1
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Option A: It is vertically stretched
Option B: it is shifted down
Solution:
The exponential function undergoes two transformations to
.
<u>To determine how the graph changes:</u>
Consider the given exponential function .
Let y = f(x)
Vertically compressed or stretched:
A vertically compression (stretched) of a graph is compressing the graph toward x-axis.
• if k > 1 , then the graph y = k• f(x) , the graph will be vertically stretched by multiplying each y coordinate by k.
• if 0 < k < 1 if 0 < k < 1 , the graph is f(x) vertically shrunk (or compressed) by multiplying each of its y-coordinates by k.
• if k should be negative, the vertical stretch or shrink is followed by a reflection across the x-axis.
Here, k = 5
So the graph will be vertically stretched.
Also, Adding 3 to the graph will move the graph 3 units down so, the graph is shifted down.
So, The graph is shifted down.
Hence option A and option B is the correct answer.