Answer:
y - y1 = m(x - x1)
y - -3 = 3(x - 1)
y + 3 = 3x - 3
y = 3x - 3 - 3
y = 3x - 6
y = 3x - 6
Step-by-step explanation:
Thie equation is in slope-intercept form (y = mx + b)
The y-intercept is -6 .... ((0, -6) is one point on the line.
It is given that (1, -3) is also on the line. So to graph, plot those
2 points and connect them with a line.
Answer:
0
Step-by-step explanation:
Slope is Rise over Run (y / x).
For 2 points, you would take the difference of y-coordinates and divide by the difference of x-coordinates.
(Y1 - Y2) / (X1 - X2)
Since both y-coordinates are the same (ten minus ten), your slope is zero (zero divided by anything is zero).
Answer:
The answer is 98
Step-by-step explanation:
Subtract the sum of the two angles from 180 degrees.
The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X.
62+20=82
180-82=98
98+20+62=180
51) 5x-1=0 and x+6=0
5x=1, x=1/5 and x=-6
2 solutions x=1/5 and x=-6
52)x(2x+3)=0
2x=0 and 2x+3 =0
x=0 and x=-3/2=-1.5
53) x(5x-1)=0
x=0 and 5x-1=0
x=0 and x=1/5
54) z(4z+7) =0
z=0 and 4z+7=0
z=0 and z= - 7/4 = -1.75
z=0 and z=-1.75
Answer:
The quantity of water in the tank after 15 days is 1610.0 gallons OR 1.61 × 10³ gallons.
Step-by-step explanation:
The amount of water in the tank after 15 days is given by the series
910+(−710)+810+(−610)+⋯+310+(−110)+210
From the series, we can observe that, if water is added for a particular day then water will be drained the following day.
Also, for a day when water is to be added, the quantity to be added will be 100 gallon lesser than the quantity that was last added. Likewise, for a day when water is to be drained, the quantity to be drained will be 100 gallons lesser than the quantity that was last drained.
Hence, we can complete the series thus:
910+(−710)+810+(−610)+710(-510)+610(-410)+510(-310)+410(-210)+310+(−110)+210
To evaluate this, we get
910-710+810-610+710-510+610-410+510-310+410-210+310-110+210
= 1610.0 gallons
Hence, the quantity of water in the tank after 15 days is 1610 gallons OR 1.61 × 10³ gallons.
