Answer:
At first, we have 3 expressions that are equal.




This is not true.
Answer:
Y= 3x-7
Step-by-step explanation:
Since the line is parallel , the slope is same i.e. 3 .
now the equation should be y= Mx + b where m is the slope and c is the y-intercept
plugging the value of m=3 and ( 3,2) into the equation
2= 3(3) + c
2= 9+ c
c= -7
hence the equation of the line is y=3x-7
Answer:
DE = about 41.843 (rounded to nearest thousandth)
EF= 34.276 (rounded)
Step-by-step explanation:
For DE, we know that the shorter side (the opposite side) is 24, while the angle across form it is 35°. We can use trigonometry to figure this out. SinФ equals the opposite side (in this case, 24) divided by the hypotenuse. Set sinФ equal to a ratio of the sides like this:
sin(35) =
x represents the hypotenuse length, which we don't know; 35 is the angle measure. Next, isolate x so that the equation looks like this:
= x
You will need a calculator for the next part. (and make sure you're in degree mode!). evaluate sin(35) and divide 24 by that value. That is DE's length. DE = about 41.843 (rounded to nearest thousandth)
For EF, we can just use Pythagorean theorem now that we know the other sides' values.
EF^2 + 24^2 = DE^2
*a calculator might also be useful for this part.
EF= 34.276 (rounded)
Answer:
5/15
Step-by-step explanation:
there are 15 balls altogether, 5 of which are blue meaning there is a 5/15 chance of picking a blue ball which as a percentage is 33.33% chance