Answer:GCF=17
To find the greatest common factor, or GCF, of the numbers, we first need to list the prime factors of both 85 and 51
52=3*17
85=5*17
17 is the sole common factor that these two numbers have in common, therefore 17 is the GCF.
To simplify the ratio, simply divide both numbers by 17.
85:51 becomes 5:3
3n+4=-5
do the opposite of adding 4. this means you have to subtract 4 from 4. whatever you do to the problem, you must do to the answer. now subtract 4 from -5.
-5-4=-9
since 4-4=0, we can take 4 out of the equation. now you have:
3n=-9
now divide -9 by 3
-9/3=-3
n=-3
hope this helps :)
Answer:
21.4 mm
Step-by-step explanation:
area ÷ base = height
164.78 mm^2 ÷ 7.7 mm
21.4 mm
Check:
base • height = area
7.7 mm • 21.4 mm = 164.78 mm^2
Answer:
y=-1/2x+5
Step-by-step explanation:
a line perpendicular to a given line will have a slope that is the negative reciprocal of the given one. this means the slope of the line perpendicular to the given one would be -1/2.
How I got this: 2 as a fraction would be 2/1, so the reciprocal would be 1/2, but we want the NEGATIVE reciprocal, so we multiply the fraction by -1, which gets us -1/2.
Now we know the slope of the equation that passes through (4,3) which is perpendicular to the given line.
y=-1/2x+b
b is the y-intercept, so we use the point (4,3) and the slope we were given to find out b.
when the point's x value is 0, the y value is the y intercept.
