First find the slope of the reference line:
2x+4y=-6 subtract 2x from both sides
4y=-2x-6 divide both sides by 4
y=-2x/4-6/4
So the slope of the reference line is -2/4=-1/2
For two lines to be perpendicular, the product of their slopes is negative one. Or you could say that the slopes are negative reciprocals of one another, mathematically perpendicular lines slopes will satisfy:
m1*m2=-1, in this case we have:
-1m/2=-1
-1m=-2
m=2
So the perpendicular line in this case has a slope of 2. The slope intercept form of a line is:
y=mx+b and we found than m=2 so:
y=2x+b, and using the point (2,5) we can solve for b
5=2(2)+b
5=4+b
1=b so the perpendicular line passing through the point (2,5) is:
y=2x+1
Answer:
1.25 minutes, or 1 minute 15 seconds
Step-by-step explanation:
We know that is speed is 0.4 pages per 0.5 minutes. This is 0.8 pages per 1 minute. If we divide 1/0.8, we get 1.25 or 1 minute 15 seconds.
Answer:
from the image above
Triangle ABE = Triangle ADE
AE = AE ( common).
angle AEB = angle AEO ( each 90°)
AB = AD ( given).
by side angle side criteria
so area of ABE = area of ADE
similarly,
BC = DC ( given)
BEC = DEC ( 90°)
EC = EC ( 9m each)
so area of BEC = Area of DEC
<h3>
<u>Area </u><u>of </u><u>Kite </u><u>=</u><u> </u><u>2</u><u>1</u><u>0</u><u> </u><u>m²</u></h3>
Answer: 15 gallons
Step-by-step explanation:
There is 100% in any full thing. When the water tank was full, it had 20 gallons. After 25% of the water was removed, there is 75% left (100% - 25% = 75%). 75% can also equal 0.75. 20 × 0.75 = 15 gallons.
Just look it up you can find the answers you are looking for
