Answer:
-1/3
Step-by-step explanation:
3 is the gradient of the other line
m1×m2=-1 (equation for perpendicular lines)
m1×3= -1
m1= -1/3
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We can break down the number 6647 into:
6647=6000+600+40+7
The first 6 in the number is in the thousands place (6,000), and the second 6 is in the hundreds place (600).
The first 6 is 10 times greater than the second one.
Answer:
4
Step-by-step explanation:
ΔABC is congruent with ΔDEF. That means the corresponding sides are congruent.
Look at the order of the letters. EF are the last two letters of ΔDEF. So this corresponds with the last two letters of ΔABC. Therefore, EF ≅ BC.
EF ≅ BC
x² + 8x = 48
x² + 8x − 48 = 0
(x + 12) (x − 4) = 0
x = -12 or 4
Since x can't be negative, x = 4.
Answer:
$17,685.45
Step-by-step explanation:
We will use the compound interest formula to solve this:

<em>P = initial balance</em>
<em>r = interest rate (decimal)</em>
<em>n = number of times compounded annually</em>
<em>t = time</em>
<em />
The first step is to change 12% into a decimal:
12% ->
-> 0.12
Next, lets plug in the values:


After 7 years, you will have $17,685.45
Answer:
4 units left : subtract 4 from each x coordinate
3 units down : subtract 3 from each y coordinate
Step-by-step explanation: