They're all similar. Problem one you need to think how can I eliminate one of the variables to solve for the other one. Think muliplication in your head when doing this but as same time look for a way to subtract the variable you are eliminatiing should equal 0 then you solve the varialbe by itself. After you find one variables solution you need to substitute that solution into the variables place from one of the two original equations. I would think multiplying the -2y by 3 and 3y by 2. Notice one has a negative and other is positive so when I add the two equations I'll get 0y. However do not forget to multiply both equations by the multiplied number you used to each term in the equation. you should get 35x = 35 then x=1. Now you need to find y by substituting the 1 for either x-value in the two equations such as 4(1) + 3y = -5 now just solve for y and you get y = -3. your answer should be (1, -3). Notice you can always check and verify your right by substituting your values found into both solutions to get 15 = 15 and -5 = -5.
Step-by-step explanation:
We are going to start by working out the interior angles so first of all to work out the interior angle we used the formula: num of sides - 2 * 180 for the sum of degrees in a shape.
Lets test this formula.
Lets say we have a square it has 4 sides 4-2 = 2 *180 = 360 this is correct,meaning we can trust this formula.
Now lets put it to use.
Octagon has 8 sides - 2 = 6.
6 * 180 = 1080
Pentagon has 5 sides - 2 = 3
3 * 180 = 540
Another Pentagon 5 sides - 2 = 3
3 * 180 = 540
We have to find out a single angle because it is one side that joins to the other, also if it is a perfect fit then all the single angles must add up to 360.
1080/8 sides = 135 degrees
540 / 5 sides = 108 degrees
540 / 5 sides = 108 degrees
We add these up,
135 + 108 + 108 = 351 which cannot be a possible fit because we need 360 degrees.
Hope this helps
Due to the nature of spheres, they are all similar to each other.
Answer:
The answer is 7/36.
Step-by-step explanation:
First, you find out how many possible outcomes there are from rolling a pair of dice. On one cube, you can roll a 1,2,3,4,5, or 6; so there are 6 outcomes. Since there are two cubes, you multiply 6 by itself to get a total of 36 possible outcomes. Next, you find the probability of the sum of the numbers rolled being an even number; the possibilities are 2,4,6,8,10, or 12, which is 6/36. The probability of rolling a multiple of 5; the one possibility is just 5, since we already accounted for rolling a 10 as an even number. So that is 1/36. The word <u>or</u> says that we add the two probabilities, so the final answer is 6/36+1/36=7/36.
Answer:
See below
Step-by-step explanation:
Recall that we need to use the equation y=a(x-h)^2+k. This means that h=-2 instead of 2 otherwise it would've been (x-2)^2-6. So Renaldo made the mistake of identifying h as 2 instead of -2. The second mistake Renaldo made is that since k=-6, there should be a vertical shift of 6 units down not 2.
