Good morning,
Answer:
(4 , 0)
Step-by-step explanation:
THe vertex of y = (x - 4)² is (4,0).
Look at the photo below for the graph.
:)
Answer:
y = -x + 1
Step-by-step explanation:
(-4,5) (1,0)
Find distance through a number line.
Distance(Slope):
(5,-5)
Slope form:
y/x, Apply:
-5/5
Reduce:
-1/1 or -1
To find the y-intercept get x to be at zero and see where y ends. Let's use the point (1,0):
(1,0) use slope -1x to get x to zero:
= (0,1)
y-intercept: (0,1)
Now write in slope-intercept form:
y = mx + b
so,
y = -1x + 1 or y = -x + 1 or y = -1/1x + 1
Answer:
Step-by-step explanation:
The given equation is:
To find the point where this line intersect the y-axis, we put x=0 into the given equation.
When x=0, we have 
.
This implies that; y=5.
The y-intercept is (0,5).
Comparing (0,5) to (0,b), we can conclude that; b=5
1. To solve this exercise, you must apply the formula for calculate the area of a trapezoid, which is shown below:
<span>
A=(b1+b2/2)h
</span><span>
A is the area of the trapezoid.
</span><span> b1 is the larger base of the trapezoid (b1=16-4=12 ft).
</span><span> b2 is the smaller base of the trapezoid (b2=10-4=6 ft).
</span><span> h is the height of the trapezoid (h=12-4=8 ft)
</span><span>
2. When you substitute these values into the formula A=(b1+b2/2)h, you obtain:
</span><span>
A=(b1+b2/2)h
</span><span> A=(12 ft+6 ft/2)(8 ft)
</span><span> A=9 ftx8ft
</span><span> A=72 ft²
</span><span>
3. </span><span>The length of fencing is:</span> a²=b²+c² a=√b²+c² a=√(8 ft)²+(6 ft)² a=10 ft Perimeter (Length of fencing)=12 ft+8 ft+6 ft+10 ft=36 ft
