Answer:
8.0623
Explanation:
Distance between two points = √
(
−
2 − − 9
)^
2
+
(
−
2 − − 6)^
2
= √
7
^2+
4
^2
=
√
49 + 16
=√
65 = 8.0623
Distance between points (-9, -6) and (-2, -2) is 8.0623
Answer:
$8.40
Step-by-step explanation:
The formula for calculating simple interest is
principal * interest rate * time .
Plugging 140 into the principal, or starting value, 3% as the interest rate, and 2 (years) for the time, we get 140*0.03*2 = 8.4, or $8.40 as our answer. Note that 3% turned into 0.03 as turning a percentage into a decimal requires us to divide the decimal by 100
Answer:
x=3
Step-by-step explanation:
A vertical line will have the equation in terms of x. Any point you choose on line <em>l </em>will have an x-coordinate of 3.
Answer: 
<u>Step-by-step explanation:</u>
y = 8x² - 3 (Restriction: none - x is All Real Numbers)
The inverse is when you swap the x's and y's and then solve for y
x = 8y² - 3 <em>swapped the x and y</em>
x + 3 = 8y² <em>added 3 to both sides</em>
<em>divided both sides by 8</em>
<em>square rooted both sides</em>
<em>simplified</em>
rationalized the denominator
<em>simplified</em>
<em>simplified</em>
<u>Restriction:</u>
The radical <em>(inside the square root sign)</em> cannot be negative
→ 2(x + 3) ≥ 0
x + 3 ≥ 0 <em>divided both sides by 2</em>
x ≥ -3 <em>subtracted 3 from both sides</em>