This only happens if the triangle is isosceles.
Suppose you have triangle ABC, with AB=AC. In this case, the altitude AH bisects both the base BC and the angle BAC, so triangle ABH and ACH are congruent becase they have AH in common, BH=CH and AB=BC because the triangle is isosceles.
I'm assuming you have to graph a line that shows the combination of earnings.
Our equation is 14.64y + 12.20x = 219.60
We'll be solving for x and y. We'll need to substitute the variables, one at a time, to 0, in order to find their intercepts.
Let's do x first.
14.64(0) + 12.20x = 219.60
12.20x = 219.60
Divide by 12.20 on both sides.
x = 18
Now let's solve for y.
14.46y + 12.20(0) = 219.60
14.46y = 219.60
Divide both sides by 14.46.
y = 15.18
That is actually a long decmal, but since we're dealing with money, we round it down to the nearest cent.
So, now we know x = 18 and y = 15.18.
Graph those on the x coordinate plane and the y coordinate plane, and make a line connecting the two. That line represents all the solutions.
Answer:
A) $287.60.
B) $323.55.
C) David would pay more for the laptop at the store.
Step-by-step explanation:
A) Given that the store's website is offering the laptop at a 60% discount off the regular price of $ 719, ignoring tax and shipping, the sale price is obtained through the following calculation:
100 - 60 = 40
719 x 0.40 = X
287.6 = X
Therefore, in this case the sale price would be $ 287.6.
B) Since the store is having a sale, offering a 50% discount off the regular price of the laptop, and David also has an in-store-only coupon for an additional 10% off the sale price, ignoring tax, the price of sale is obtained through the following calculation:
(719 x 0.5) x 0.9 = X
359.5 x 0.9 = X
323.55 = X
Thus, the sale price in the present case would be $ 323.55.
<span>By multiplying the first function with number 5, the graph will stretch by the order of five, meaning that in the second graph every value of the x will correspond to the 5 times bigger value of y than in the first case. Due to the +6 component, the second graph shifts to the left by 6 units.</span>
