Answer:
Step-by-step explanation:
The slope of a perpendicular line will always be the NEGATIVE RECIPROCAL of the slope of the original line.
y=2x+5
Because this equation is organized in slope-intercept form, y=mx+b, we can identify the slope of the original line is 2. The negative reciprocal of 2 is 
. Therefore, the slope of the perpendicular line is . So far, our equation looks like this:
Now, we must solve for b, the y-intercept of this line. To do that, we can plug in the given point (-2,8) and solve for b:
Subtract both sides by 1 to isolate b
Therefore, the y-intercept of this line is 7.
After plugging both the slope and the y-intercept into y=mx+b, we get:
I hope this helps!
44 - 1 + 7q = 106
43 + 7q = 106
7q = 63
q = 9
X in the equation 2/X+1/2=3/4 equals 8
We can find this by first finding the common denominator of 1/2 and 3/4 which is 2/4.
Then we can ask, 2/4+?=3/4
By asking this question we can find out that 2/4+1/4=3/4
With this new knowledge we can now ask 2/?=1/4. Which will lead us to the answer 8.
Answer:
- 3(2 +7)
- 9(3 +5)
- 16(2 +3)
- 15(2 +5)
- 8(11 +3)
Step-by-step explanation:
- 6 + 21 = 2·3 + 3·7 = 3(2 +7)
- 27 + 45 = 3^3 + 3^2·5 = 9(3 +5)
- 32 + 48 = 2^5 + 2^4·3 = 16(2 +3)
- 30 + 75 = 2·3·5 + 3·5^2 = 15(2 +5)
- 88 + 24 = 2^3·11 +2^3·3 = 8(11 +3)
In each case, the factor outside parentheses is the greatest common factor, the product of the prime factors common to both numbers. When the same factor has different powers, the least power is the common factor.
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