Answer:
y = -1 x = 4
Step-by-step explanation:
(X+3y=1) 5 Multiply this equation by 5 to cancel out the x
-5x+4y=-24
-5x + 4y= -24
+ 5x + 15y = 5 Add both equations together
19y = -19 Divide both sides by 19
y = -1
Plug -1 for y into one of the equations
x + 3(-1) = 1 Multiply 3(-1)
x - 3 = 1
+ 3 + 3 Add 3 to both sides
x = 4
If this answer is correct, please make me Brainliest!
Answer:
6 units
Step-by-step explanation:
Given: Points H and F lie on circle with center C. EG = 12, EC = 9 and ∠GEC = 90°.
To find: Length of GH.
Sol: EC = CH = 9 (Radius of the same circle are equal)
Now, GC = GH + CH
GC = GH + 9
Now In ΔEGC, using pythagoras theorem,
......(ΔEGC is a right triangle)
Now, Let GH = <em>x</em>
On rearranging,
So x = 6 and x = - 24
∵ x cannot be - 24 as it will not satisfy the property of right triangle.
Therefore, the length of line segment GH = 6 units. so, Option (D) is the correct answer.
<h3>
Answer: 2</h3>
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Explanation:
If a number only has one factor pair, then that number must be prime. This is because prime numbers only have factors of 1 and the number itself.
For instance, the value 7 is prime because the only factors of this are 1 and 7.
For something like the number 32, it is composite and not prime because it has the factors {1,2,4,8,16,32} and it leads to these three factor pairs: 1*32, 2*16, 4*8. This is one example showing why the answer isn't composite.
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Let's say that p is the unknown prime we want to find. The factors of this are 1 and p. We're told that "one of the factors is twice the other factor", so that must mean p = 2*1 = 2. We can see that 2 is twice that of 1.
Answer: The cost of each game is $2.50
Step-by-step explanation:
Let's find the equations for each friend:
Friend 1:
Pays $3 for the shoes, and plays 3 games, then if X is the cost of each game, Friend 1 pays a total of:
$3 + 3*X
Friend 2:
This friend buys a soda for $0.50, and he plays 4 games, remember that the cost of each game was X. then this friend pays:
$0.50 + 4*X
And we know that both friends pay the exact same amount, then we can write:
$3 + 3*X = $0.50 + 4*X
And solve this for X.
We need to isolate X, then we can move all the terms with X to the right, and all the terms without X to the left:
$3 - $0.50 = 4*X - 3*X
$2.50 = (4 - 3)*X = X
This means the cost of each game is $2.50
Answer:278.44
Step-by-step explanation:
Divide the miles per year by months
