You can use Substitution to solve this problem:
4x-y=20
-y=-4x+20
y=4x-20
Now you have two equations, and you use the first one to substitute into the second one.
y=4x-20 and -2x-2y=10
-2x-2(4x-20)=10
-2x-8x+40=10
-10x+40=10
-10x=-30
-x=-3
x=3
Now that we have figured out what x is, we can substitute x in to one of the equations to figure out y.
4x-y=20 x=3
4(3)-y=20
12-y=20
-y=8
y=-8
<em><u>So your answer would be x=3 and y=-8</u></em>
Answer and Step-by-step explanation:
C1) (x-1)²+(y+2)²=1 C1 (1,-2) R1 = √1 = 1
C2) (x+5)²+(y-4)²=4 C2 (-5,4) R2 = √4 = 2
DISTANCE FORMULA: d² = (y₂-y₁)²+(x₁-x₂)²
calculating the distances between the 2 center:
d² = (4-(-2))²+(-5-1)² = (6)²+(-6)² = 36 + 36 = 72 ⇒ d = √72
√72 ≈ 8.49
R1 = 1 and R2 = 2
If the circles were secants, d would be < than R1 + R2.
If the circles were tangent, d would be = to R1 + R2
As d > than R1 + R2, we know that the circles do not intercept.
We are given the endpoints. We are also given the endpoints after the transformation. For the first item, a simple distance formula verification would reveal that the distance between AB and A'B' is not equal. So, a dilation must have been done. Next, AB and A'B' are not parallel which means that a translation transformation must have been done.
After a dilation of 4/5 with A as the center, A' is still (0,0) and B' is (6 - 24/5, 8 - 32/5).
You have 12 cards numbered as follows: 2,5,8,10,12,15,18,20,10,7,9,11. What is the probability of choosing an even number, given
ANEK [815]
Answer:
7/12
Step-by-step explanation:
Simple:
There are 12 numbers in all and only 7 even numbers
Since there are 7 even numbers the probability of rolling an even number is 7/12.
This means that there are 7 outcomes of an even number
Therefore the probability of choosing an even number
=7/12
