Answer:
4(5)+5y=20 20+5y=20 then subtract the 20 with other 20= 0
5y/5=0/5 y=0
Step-by-step explanation:
Our parent function is f(x)=x^2. A vertical stretch by a factor of k means that every point (x,f(x)), has been transformed into (x,kf(x)). Alex is clearly incorrect as our parent function has been transformed to (x,9f(x)), not (x,3f(x)). A horizontal stretch(or compression) by a factor of k means our function has been transformed to (x/k,f(x)). Here, Marta is saying our function should look like (3x,f(x)). This can also be achieved by plugging 3x into the parent function, which would give us f(3x)=(3x)^2, so it seems that Marta is the correct one.
Two negatives <em>do not </em>equal a positive when adding. If you're in debt and you add more debt, does that get you out of debt?
Two negatives <em>do </em>equal a positive when you're multiplying them together though. This makes sense if you imagine multiplication as squishing or stretching a particular number on the number line. For example, imagine multiplying 2 x 1/2 as <em>squishing </em>the number 2 two times closer to 0. When you multiply 2 by a negative number, say, -1, you squish it so far down that you <em>flip it to the negative side of the number line</em>, bringing it to -2. You can imagine a similar thing happening if you multiply a number like -4 by -2. You squish -4 down to zero, and then <em>flip it to the positive side</em> and stretch it by a factor of 2, bringing it to 8.
Answer:
8 x = 60.10251159
9 x = 3.66062978
Step-by-step explanation:
Hey There!
So to answer these questions we need to use the Law of sines
Consider the following image
So to find x in number 8 we setup an equation

now we solve for x
step 1 multiply each side by sin 90
now we have

if you plug the equation in a calculator you get that
x=60.10251159
<u>( make sure if it says to round to the nearest.... that you round before entering your answer)</u>
For number 9 the equation would be

now we solve for x
step 1 multiply each side by sin 24
now we have

if you plug this into a calculator you get that
x = 3.66062978
<u>(once again if it says to round to the nearest... make sure you round before you put in your answer.)</u>
73 and the angle to solve for add to 180 because they are supplementary.
180 - 73 = 107.
5x + 2 = 107.
5x = 105.
5x/5 = 105/5
x = 21