Answer:
13 units
Step-by-step explanation:
(-1,5) and (4, -7)
To find the distance of two points, we use the distance formula:
Let's plug in what we know.
Evaluate the double negative.
Evaluate the parentheses.
Evaluate the exponents.
Add.
Evaluate the square root.
13 units
Hope this helps!
Answer: -258
<u>Step-by-step explanation:</u>
Given the sequence {-8, 16, -32, 64, ... , a₇} we know the following
- the first term (a₁) = -8
- the common ratio (r) = -2
- the number of terms (n) = 7
Input the information above into the Sum formula:
X= number of dimes
x+6= number of quarters
5(x+6)= number of nickels
$5.40= 540 cents
Add the number of each coin and set it equal to the total in cents.
x + (x + 6) + 5(x + 6)= $5.40
multiply 5 by parentheses; change dollar total to cents
x + (x + 6) + (5 * x) + (5 * 6)= 540
x + (x + 6) + 5x + 30= 540
combine like terms
7x + 36= 540
subtract 36 from both sides
7x= 504
divide both sides by 7
x= 72 dimes
x + 6= 78 quarters
5(x + 6)= 390 nickels
CHECK
72 + 78 + 390= 540
540= 540
ANSWER: There are 72 dimes, 78 quarters and 390 nickels.
Hope this helps! :)
Answer:
X = 21/4 - 7/4 = 14/4 = 7/2 = 3 and 1/2
Step-by-step explanation:
X + (2 and 1/2) - 3/4 = 5 and 1/4
X + 2 and 2/4 - 3/4 = 5 and 1/4 <--- common denominator
X + 10/4 - 3/4 = 21/4
X + 7/4 = 21/4
X = 21/4 - 7/4 = 14/4 = 7/2 = 3 and 1/2
Answer:
(x²-2x)/(2x+6)
Step-by-step explanation:
When you are asked to divide two fractions just do keep-change-flip. Keep the first fraction, change the ÷ to x and flip the second fraction upside down. So the problem becomes ((x-2)/(x+3)) times (x/2). Then just multiply numerators and multiply denominators.
