To dilate an object means to enlarge or reduce the size of the object. The scale factor will determine how much larger or smaller the object will become. If this factor is greater than 1, the object will increase in size. Otherwise, if the factor is less than 1, the object will decrease in size. So, the dilated object will be similar to its original. On the other hand, when corresponding points of the original and dilated figures are connected by straight lines, the center of dilation is the point where all the lines meet. In this problem, the center is (0, 0). When the center is the origin we need to multiply all the original coordinates of the object by the scale factor given. So:
So, the graph of the dilated triangle is shown in the Figure below
so... what does that give you for the discriminant?
if it's a negative value, no solutions
if it's a positive value, two solutions
if it's 0, one solution
9514 1404 393
Answer:
(d) y = -2x +8
Step-by-step explanation:
The parallel line will have the same x-coefficient, eliminating choices B and C. If it goes through point (4, 0), then (x, y) = (4, 0) will satisfy the equation.
A: 0 = -2(4) +4 = -4 . . . . . not true
D: 0 = -2(4) +8 . . . . . . . . true
The equation you're looking for is ...
y = -2x +8
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<em>Additional comment</em>
Since you know the slope is -2 and a point on the line is (4, 0), you can use the point-slope form of the equation for a line as a starting point.
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
For m = -2, and (h, k) = (4, 0), the equation becomes ...
y -0 = -2(x -4)
Simplified to slope-intercept form, this is ...
y = -2x +8
Answer:
A and D
explanation:
The other two answers looks like opinions
so solve for "x", to see how much is the company paying for the purchase of 1 minute
now, they're plan to sell the minute for 8cents, how much is the profit?
that is, the difference from their cost of the cents to the planned selling price.
bear in mind, is 46,000,000 minutes, so whatever value you get for 1minute,
you need to multiply it for 46,000,000 to get the actual cost.
and the revenue from the sell of 8cents per minute, is of course, 8 * 46,000,000
profit = revenue - cost
