Answer:
Step-by-step explanation:
You need to pay very close attention to the triangle similarity statement. This says that triangle NML is similar to triangle NVU. But if you look at the way that triangle NVU is oriented in its appearance, it's laying on its side. We need to set it upright so that angle N is the vertex angle, angle V is the base angle on the left, and angle U is the base angle on the right. When we do that we see that sides NV and NM are corresponding and exist in a ratio to one another; likewise with sides VU and ML. Setting up the proportion:
Filling in:
Cross multiply to get
324 = 108x
and x = 3
If the second equation is y=-3x+4 then they would be parallel and I found that by turning the first equation into y=mx+b and you subtract x from both sides of the equation and get -3y=-x+15 and then you divide both sides of the equation by -3 to get the y by itself and that turns into y=1/3x-5 and since 1/3 is the reciprocal of -3 they are perpendicular.
Time taken is equal to distance divided by speed
So time is 50/5 = 10 seconds
Answer:
(8x-7)(8x+7)
Step-by-step explanation:
This is a difference of squares polynomial of the form . Since 64 and 9 are both perfect squares then take the square root of each so a=8 and b=7.
Factors:(8x-7)(8x+7)