Answer:
Step-by-step explanation:
<u>Line a</u>
- y = 5x - 6, it has slope of 5
<u>Line b</u>
<u>Rewrite in slope-intercept form to find its slope:</u>
- 5y = -x + 5
- y = -1/5x + 1
- It has slope of -1/5
Lines have different slopes: 5 and -1/5, therefore are not parallel
To solve quadratics, the most correct and effective way, in my opinion, is the quadratic formula:
<span><span>
Plugging it in, we get:
</span></span>
So the final answer is:
and
Answer:
8 hours
Step-by-step explanation:
286 divided by 13 is 22
so she's making 22 dollars an hour
22 times x = 176
x = 8
she would need to work 8 hours
Answer:
36 millimeters
Step-by-step explanation:
From Pythagoras theorem, the square of the hypotenuse is equal to the sum of the square of the two other legs
In mathematical terms;
a^2 = b^2 + c^2
Let a represent the hypotenuse = 39 mm and the length of one leg, say c, is 15 mm
Slotting in the values of a and b
39^2 = b^2 + 15^2
1521 = b^2 + 225
collect like terms
1521 - 225 = b^2
1296 = b^2
Take the square root of both sides
36 = b
Therefore b = 36 mm
