Answer:
5.4285
Step-by-step explanation:
see attached pictures for solutions:
Answer:
Ayan po ng answer sana makatulong
#carrying_learning
<em>b = 36.0</em>
Step-by-step explanation:
These two triangles are similar, so they can have a ratio that is equal to one another. We need to pick a side on one of the triangles and match the corresponding side on the other triangle, an example of this would be 6/27. Something like 6/45 would be incorrect since they are totally different corresponding sides. For the other side of the ratio, you will want to keep the same pattern. So if you do the left triangle first in the first ratio, keep it the same for the other. An example of this would be 6/27 = 8/b. It would be incorrect to put 6/27 = b/8.
There are numerous different ratios you can do but this is the one I did...
Notice how I used both of the triangles corresponding sides and followed the pattern of which triangle came first.
Now we can solve by cross multiplying.
Divide.
<u><em>b = 36</em></u>
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