Answer:
x = ±11/4
Step-by-step explanation:
Rewrite -16x^2+121=0 as 16x^2 - 121=0 and then as 16x^2 = 121.
Take the square root of both sides. This returns 4x = ±11, and so:
x = ±11/4
<span>Moores Family Paid = 6 dollars mores for skate rental
than the cotters did.
30 dollars = the total amount they paid for skate rentals.
Let Family Moore have the variable X
Let the Family Cotters have the variable Y
=> x = y + 6
=> y = 30 – 6 / 2
First, let’s solve the Y
=> Y – 30 – 6 / 2
=> Y = 24 / 2
=> y = 12
Now, let’s solve for X
=> X = y + 6
=> x = 12 + 6
=> X = 18
</span>
Answer: d
Step-by-step explanation:
The probability of not being purple is the probability of the three other colors. Suppose the number of purple marbles is x. Then we have 20+30+40+x = 90 + x marbles. Then the probability of not being purple is 90/(90+x). If this fraction can have a lowest term for some value of x, then the numerator of this lowest term must be a factor of 90.
Checking through the options, only option D has a non-factor of 90 as its numerator.
Answer:
(A)Show that the ratios StartFraction U V Over X Y EndFraction , StartFraction W U Over Z X EndFraction , and StartFraction W V Over Z Y EndFraction are equivalent.

Step-by-step explanation:
In Triangles WUV and XZY:

Therefore:

To show that the triangles are similar by the SSS similarity theorem, we have:

As a check:

The correct option is A.
Answer:
Neither parallel nor perpendicular
Step-by-step explanation:
I'm assuming you meant line k is y = 3x -2. If not, this is wrong.
For this, you need to put both lines in point-slope form, or the form that line k is already in. This means you only need to convert line m.
-2r + 6v = 18
6v = 2r + 18
v = 2/6r + 18/6
v = 1/3r + 3
Now you can answer the question.
To be parallel, lines must have the same slope (but a different y-intercept). 3 and 1/3 are not the same, so the lines are not parallel.
To be perpendicular, one line must have the opposite reciprocal (fraction flipped and + goes to - or - to +) of the other. While 3 is the reciprocal of 1/3, they are both positive, so they are not perpendicular.
To be the same line, the equations must be absolutely identical, which they aren't.
This leaves the last option: neither.
Let me know if you need a more in-depth explanation of anything here! I'm happy to help!