Answer:
6(2 - 5k^4).
Step-by-step explanation:
12k^0 - 30k^4
Now k^0 = 1 so the polynomial becomes
12 - 30k^4
= 6(2 - 5k^4).
Answer:
Graph A: y = (1/2)x - 2
Step-by-step explanation:
2x−4y=8 in slope-intercept form is -4y = -2x + 8, or y = 1/2x - 2
The slope of this line is 1/4 and the y-intercept is -2. This is represented by Graph A.
Answer:
1/24
Step-by-step explanation:
We can't subtract two fractions with different denominators. So you need to get a common denominator. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.
So we multiply 11 by 8, and get 88.Then we multiply 7 by 12, and get 84.
Next we give both terms new denominators -- 12 × 8 = 96.
So now our fractions look like this:
88
/96
-84
/96
Step 2
Since our denominators match, we can subtract the numerators.
88 − 84 = 4
So the answer is:
4
/96
Step 3
Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?
To find out, we try dividing it by 2...
Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
4
/96
÷ 2 =2
/48
Let's try dividing by 2 again...
Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
2
/48
÷ 2 =1
/24
Let's try dividing by 2 again...
No good. 2 is larger than 1. So we're done reducing. There you have it! The final answer is:
11
/12
-7
/8=1
/24
Answer:
∠ YVZ = 56°
Step-by-step explanation:
∠ WVZ = 90° ( given ), thus
∠ WVY + ∠ YVZ = 90, substitute values
2x + 3x + 5 = 90
5x + 5 = 90 ( subtract 5 from both sides )
5x = 85 ( divide both sides by 5 )
x = 17
Thus
∠ YVZ = 3x + 5 = 3(17) + 5 = 51 + 5 = 56°
he has 0.6 km left to go, because if you take 1.7 - 0.9 it equals 0.6.
