75 mi. East, 70 mi. South, 110 mi.West.
Overall, she drove 110-75= 35 mi. West since east & west are opposite directions.
And 70 mi. South.
In a Pythagorean theorem problem, legs are 35 & 70. And hypotenuse is her diagonal distance from where she started
35^2 + 70^2 = c^2
1225 + 4900 = c^2
6125 = c^2
78.3=c
Answer:
3x^6 - 4x^5 + 2x^4
Step-by-step explanation:
Given
-5x^4 ( -3x^2 + 4x - 2)
Step 1 : open the bracket with -5x^4
-5x^4 * -3x^2= 15x^6
Hint: - * - = +
x^4 * x ^2 = x^ 4+2 = x^6
-5x^4 * + 4x = - 20x^5
Hint: - * + = -
x^4 * x = x^4 + 1 = x^5
(x is always raise to the power of 1 but we don't write it or less it is greater than 1 e.g. 2 , 3 ,4, ..........)
-5x^4 * -2 = 10x^4
Hint: - *- = +
Let's combine the answers
15x^6 - 20x^5 + 10x^4
We can look for a factor that can go through as in that can divide all without a reminder
Factors of
15 - 3 * 5
1 * 15
20 - 4 *5
2 *10
1 * 20
10 - 2*5
1 * 10
Since the factor of 5 is common in all, so we are using 5 to divide through
15x^6 - 20x^5 + 10x^4
Using 5 to divide through
15x^6 / 5 - 20x^5 / 5 + 10x^4 / 5
= 3x^6 - 4x^5 + 2x^4
To find the area of a rectangle, do length times width. Because we know the length (90 in), we can divide 380 by 90 to find the maximum possible width. This is possible because of the equation width = Area/length, which is derived from width * length = Area. 380/90 = 4.222, so the maximum width to the nearest possible inch is 4 inches.
Next week, Alfonso will work 6 hours at the theater, where he is payed $8 per each hour he works there. So, he is going to make a total of 6*$8=$48.
Let h be the number of hours that Alfonso needs to work at the restaurant to make a total of at least $144.
Since working at the restaurant he makes $12 per hour, then per h hours, he is going to make 12h dollars.
In total, he is going to make 48 + 12h dollars, and we want this sum to be at least $144, thus, we set the inequality:
48 + 12h≥144.
Answer: A
Answer:
-1
Step-by-step explanation:
See Image below:)
