It's a bit of a bummer to have to work through all of these to find the answer. That a lot of slope calculations (or graphing, or whatever). When there are this many, a spreadsheet or other machine help can make it easier.
The correct choice is the last one, XYZ, with vertex X being where the right angle is located.
_____
Slope of XY is 4/7; slope of XZ is -7/4. The product of these is -1, so those segments are at right angles.
Answer:
y = 2
Step-by-step explanation:
x + 5y - 10 = 0
X = 4y - 8
since x is given as = 4y - 8 we can use this in first equation
replace x with 4y - 8
x + 5y - 10 = 0 ➡ 4y - 8 + 5y - 10 = 0 add like terms
9y - 18 = 0 add 18 to both sides of the equation
9y = 18 divide both sides by 9
y = 2
If you would like to know how much money will Gerold have at the end of 5 years, you can calculate this using the following steps:
1 year: $118 + 6% * $118 = 118 + 6/100 * 118 = 118 + 7.08 = $125.08
2 year: $125.08 + 6% * $125.08 = 125.08 + 6/100 * 125.08 = 125.08 + 7.50 = $132.58
3 year: $132.58 + 6% * $132.58 = 132.58 + 6/100 * 132.58 = 132.58 + 7.95 = $140.53
4 year: $140.53 + 6% * $140.53 = 140.53 + 6/100 * 140.53 = 140.53 + 8.43 = $148.96
5 year: $148.96 + 6% * $148.96 = 148.96 + 6/100 * 148.96 = 148.96 + 8.94 = $157.9
The correct result would be $157.9.
Answer:
3 miles per hour
Step-by-step explanation:
We need to subtract the two numbers to find the difference in speeds
4/5 - 3/4
We need to get a common denominator of 20
4/5 *4/4 - 3/4 *5/5
16/20 - 15/20
1/20
The car going 4/5 miles per minute is going 1/20 miles per minute faster than the car going 3/4 miles per minute.
The question asks for miles per hour, not miles per minute. We know that there are 60 minutes per hour.
1/20 miles per minute * 60 minutes / hour
60/20 miles/hour
3 miles/ hour
The car going 4/5 miles per minute is going 3 miles per hour faster than the car going 3/4 miles per minute.
99 years old due to multiplying 9 x 11
