Answer:
6. E
7. D
8. 5,-8,34
Step-by-step explanation:
A. Parallel to the y-axis and passes through the point (3,5)
For it to be parallel to the y-axis, what this means is that it has an x-intercept and no y intercept.
So what this means is that x = 3 is our line so E is correct
B. Perpendicular to the y-axis means it is parallel to the x-axis
It means is has no x intercept and thus its x value at any point in time is zero
So the equation is y = -5
or simply y + 5 = 0 which means D is correct
C. It is parallel to the line 5x -8y + 12 = 0
Thus: 8y = 5x + 12
dividing both sides by 8
y = 5x/8 + 12/8
y = 5x/8 + 3/2
y = 5x/8 + 1.5
Comparing this with the general equation of a straight line ;
y = mx + c
where m is that slope, this means that 5/8 is the slope of the line
Mathematically if two lines are parallel, they have equal slopes.
So we can say the slope of the other line too is 5/8
Now to find the equation of the other line, we can use the point-slope method
y-y1 = m(x-x1)
where (x1,y1) in this case is (-2,3)
So we have;
y-3 = m(x-(-2))
y-3 = 5/8 (x + 2)
8(y-3) = 5(x + 2)
8y -24 = 5x + 10
5x + 10 + 24 -8y = 0
5x -8y + 34 = 0
So A, B, C = 5, -8, 34
Answer: 19.2inches³
Step-by-step explanation:
The volume of a cone is calculated as:
= 1/3πr²h
where,
π = 3.14
r = radius = diameter/2 = 3.5/2 = 1.75
h = height = 6
Volume = 1/3πr²h
= 1/3 × 3.14 × 1.75² × 6
= 19.2325
= 19.2inches³
Therefore, the volume of the cone-shaped sandwich is 19.2inches³.
Hello Alondra,
To solve this problem, you have to write a proportion using the ratios formed by the similar triangles.
Or proportion can be:
x/(x+2) = 10/15
Cross multiply to solve it:
10x + 20 = 15x
20 = 5x
4 = x
The value of x is 4.
I hope this helps,
MrEQ
Answer:
Step-by-step explanation:
Hope this helps!
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