Since B is perpendicular to A. We can say that the gradient of B will be -1/7 (product of the gradients of 2 perpendicular lines has to be -1).
Now we know that the equation for B is y=-(1/7)x + c with c being the y intercept.
Since the point isnt specified in the question, we could leave the equation like this.
But if there is a given point that B passes through, just plug in the x and y values into their respective places and solve to find c. That should give you the equation for b.
Now, to find the solution of x, we have 2 equations:
1) y=7x+12
2)y=-(1/7)x+c
In this simultaneous equation we see that y is equal to both the expressions. So,
7x+12=-(1/7)x+c
Now, since the value of c is not found, we cannot actually find the value of x, but if we would find c, we could also find x since it would only be a matter of rearranging the equation.
And there you go, that is your solution :)
Answer:
40
Step-by-step explanation:
40:2 (half of) = 20
20+16=36
Initially started 20 feet from the ground .
Went uphill 83 feet.
So: 20 + 83 = 103. The coaster is 103 ft above at this point.
Went down 42 feet
So: 103 - 42 = 61.
Went up 128 feet
So: 61 + 128 = 189
Finally, went down 90 feet
So: 189 - 90 = 99
99 ft above ground.
Answer:
cost of a drink = $9.25
cost of a popcorn = $6.25
Step-by-step explanation:
Bella spends a total of $53.75 on 4 drinks and 3 bags of popcorn
Piper spends a total of $61.25 on 2 drinks and 7 bags of popcorn
Let d represent drinks and p represent popcorn
4d + 3p = $53.75
2d + 7p = $61.25 multiply second equation by -2
-2 × (2d + 7p) = $61.25 ➡-4d - 14p = -$122.50
Now add two equation
-4d - 14p + 4d + 3p = -$122.50 + $53.75 add the like terms (remember -4d will eliminate 4d)
-11p = −$69.25 ➡ 11p = $69.25 divide both sides by 11
p = $6.25 is the price for a bag of popcorn we can use this information to find the price for a drink
4d + 3p = $53.75 replace p with $6.25
4d + 3×6.25 = $53.75
4d + 18.75 = $53.75
4d = $37
d = $9.25
ededededededededededededededededdedededededededededededededededededededededededededededededededededededededededededededededededededededededddeeedddeeedddeeedddeeeddd-------------------------------------------------------------------------------------------------------------------------------------------------------