Answer:
X=-4, y=-7
Step-by-step explanation:
6x-5y=11. 1st equation
y=7x+21 2nd equation
6x-5(7x+21)=11. Sub value of y in 2nd equation (7x+22) into 1st equation
6x-35x-105=11. Solve by distributative property
-29x-105=11. Add x values
-29x=116. add 105 to both sides
x=-4. Solve for x
solve for y:
y=7x+21
y=7(-4)+21
y=-28+21
y=-7
check answer by substituting x and y into either equation
6x-5y=11
6(-4)-5(-7)=11
-24+35=11
11=11
Y=2x-5.
I found the slope using the formula m=y2-y1/x2-x1.
m=-3-1/1-3=-4/-2=2.
I used (3,1) (only use one point, your choice) to find out b. 3=x, 1=y.
y=mx+b is the formula for slope intercept equations, so I plugged in the x and y.
1=2(3)+b; 1=6+b, subtract 6 on both sides and get -5=b.
I used the information to get y=2x-5.
Hope this isn’t too confusing! :)
Answer:
24 sections
Step-by-step explanation:
8 + 8 = 16
4+ 4 = 8
16 + 8 = 24
speed of current is 1.5 mi/hr
Answer:
let the rate in still water be x and rate of the current be y.
speed down the river is:
speed=distance/time
speed=14/2=7 mi/h
speed up the river is:
speed=(14)/(3.5)=4 mi/hr
thus total speed downstream and upstream will be:
x+y=7...i
x-y=4.......ii
adding the above equations i and ii we get:
2x=11
x=5.5 mi/hr
thus
y=5-5.5=1.5 mi/r
thus the speed in still waters is 5.5 mi/hr
speed of current is 1.5 mi/hr
Answer:
They are even numbers (divisible by two)
Step-by-step explanation:
The number column starts from 2 and is incremented by two for every number in the column. The remainder of the division of each number in the sequence is zero and the result of the division is sequence 1,2,3,4,5,6,7...
Therefore, the numbers in the column are even numbers.
