Answer:
d = 14/5
Step-by-step explanation:
The point (-4,2) means that;
At x = -4, y = 2
Now general form of a linear equation is;
Ax + By + C = 0
We are given;
4y = 3x + 6
Rearranging to the form of a linear equation gives;
3x - 4y + 6 = 0
Thus, A = 3, B = -4 and C = 6
Thus, at point (-4,2), distance between them is;
d = (3(-4) - 4(2) + 6)/√(3² + (-4)²)
d = -14/5
We will take the absolute value.
Thus; d = 14/5
Answer:
False
Step-by-step explanation:
That is false
If the pre-image is reflected over any axis, the image will still be congruent to it
The miles he traveled by plane is nine times greater than the miles traveled by automobile. If the total is 600 miles, then the total distance traveled by automobile would be 60 miles, making the total traveled by airplane 540 miles.
Answer:
MK = 23
Step-by-step explanation:
Rectangle means that the angles are all 90 degrees, so all the sides are not tilted in any direction. Meaning the JL = MK, therefore:
2x + 5 = 7x - 40
subtract 5 from both sides
2x = 7x - 45
subtract 7x from both sides
-5x = -45
divide by -5
x = 9
Now input 9 into the equation
MK = 7(9) - 40 = 63 - 40 = 23
The vertex is the point where the function changes direction, in this case from growing to decrease. That is the point wiht x-coordinate 4 and y-coordinate 1, so the point is (4,1).
