there are only 3 tangent lines can be drawn that touch both circles
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Answer:
2
Step-by-step explanation:
If A = (2, 3) then a dilation of scale factor 2 means that the x and y coordinates are multiplied by 2, so x = 2 x 2 = 4 and y = 3 x 2 = 6, so A' = (4, 6)
Answer:
x=18
Step-by-step explanation:
We'll assume that the shorter sides are AB and CD. Then 7x-6=5x+30. You add 6 to both sides. 7x=5x+36. Isolate x. 2x=36. Divide, and x=18.
When you estimate you round to the nearest whole number (simply to make it easier.) Depending on what place you need to estimate to (like hundreds, or just tens..)
Let's turn 196 into 200 and 482 into 480
200+480 = 680
Hope this hlps!
Answer: $17,000 invested in bonds and $13,000 in certificate of deposit
Step-by-step explanation: let x = amount invested in bonds
y = amount invested in certificate of deposits.
According to the question, amount invested in bonds is $4000 more than the amount invested in certificate of deposits.
x = y + $4000 — (1)
Also from the question, the total money for investment is $30,000
x + y = $30,000 — (2)
By substituting eqn (1) into eqn (2), we have
y + 4000 + y = 30, 000
2y + 4000 = 30,000
2y = 30,000 - 4000
2y = 26,000
y = $ 13,000
But x + y = 30,000 where y = 13,000
x + 13, 000 = 30,000
x = 30,000 - 13,000
x = $17,000
Hence $17, 000 is invested in Bonds and $13, 000 in certificate of deposit