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:
-7.14
Step-by-step explanation:
Evaluate
−4.2(−2.8 + 4.5)
Open parenthesis
(-4.2 * -2.8) + (-4.2 * 4.5)
= (11.76) + (- 18.9)
= 11.76 - 18.9
= -7.14
NOTE:
Negative (-) × negative (-) = positive (+)
Positive (+) × positive (+) = positive (+)
Negative (-) × positive (+) = negative (-)
Positive (+) × negative (-) = negative (-)
6n=11c=-8j+5
Just combine the terms!
Answer:
(6, -2)
Step-by-step explanation:
The midpoint of the segment RS is point M (5, 3). Therefore, the average of the x coordinates of R and S is 5, and the average of the y coordinates of R and S is 3. The x coordinate of R is 4. For 4 and the x coordinate of S to have an average of 5, the x coordinate of S must be 6. Therefore, our point is of the form (6, y). For 8 and the y coordinate of S to have an average of 3, the y coordinate of S must be -2. Therefore, our answer is (6, -2)
Answer:
Given: piece wise function-
f(x) = x + 3 for x < 0 and f(x) = 2x for x ≥ 0
First part of the function does not include x = 0.
In slope-intercept form,
slope(m) = 1
y-intercept = (0,3).
So, the conditions are shown in graphs 1 and 3.
Now, the second part of the function equation passes through origin as the equation is f(x) = 2x.
Correct choice - [B]
Note: See picture of graph attached.
Step-by-step explanation:
