Answer:
5
Step-by-step explanation:
The gradient is the ratio of the change in y to the change in x:
m = ∆y/∆x = (16 -6)/(2 -0) = 10/2 = 5
The gradient of the line segment is 5.
Answer:
x = 0.72
Step-by-step explanation:
Given
3.8x = 2.736 ( divide both sides by 3.8 )
x = 0.72
The angle of elevation from point C to point A is ![32^{\circ}](https://tex.z-dn.net/?f=32%5E%7B%5Ccirc%7D)
<em><u>Solution:</u></em>
Given that we have to find the angle of elevation from point C to Point A
Given in figure that, angle A = ![58^{\circ}](https://tex.z-dn.net/?f=58%5E%7B%5Ccirc%7D)
Given is a right angled triangle ABC where angle B = ![90^{\circ}](https://tex.z-dn.net/?f=90%5E%7B%5Ccirc%7D)
We have to find angle C
The angle sum property of a triangle states that the angles of a triangle always add up to 180°
Therefore, in given triangle ABC
angle A + angle B + angle C = 180
![58^{\circ} + 90^{\circ} + C = 180^{\circ}](https://tex.z-dn.net/?f=58%5E%7B%5Ccirc%7D%20%2B%2090%5E%7B%5Ccirc%7D%20%2B%20C%20%3D%20180%5E%7B%5Ccirc%7D)
![148^{\circ} + C = 180^{\circ}\\\\C = 180^{\circ} - 148^{\circ}\\\\C = 32^{\circ}](https://tex.z-dn.net/?f=148%5E%7B%5Ccirc%7D%20%2B%20C%20%3D%20180%5E%7B%5Ccirc%7D%5C%5C%5C%5CC%20%3D%20180%5E%7B%5Ccirc%7D%20-%20148%5E%7B%5Ccirc%7D%5C%5C%5C%5CC%20%3D%2032%5E%7B%5Ccirc%7D)
Therefore angle C = ![32^{\circ}](https://tex.z-dn.net/?f=32%5E%7B%5Ccirc%7D)
1/4 gallon= 32 oz
32•4= 128 oz
Austin drank 128 ounces of orange juice
Answer:
x+6y=9 - > y= (-1/6)x+(3/2)
x - 6y=-9 - > y= (1/6)x+(3/2)
-9x - 6y = -9 - > y = (-3/2)x +(3/2)
3x - y = - 6 - > y= 3x + 6
-63x - y = - 6 - > y = - 63x + 6
3x + y = 6 - > y = -3x +6
Step-by-step explanation:
The standard form of the equation of a line is: y=ax+b
You seperate y from x and the constant value(the number) and then devide tge equation with the coefficient of y. Obviously it mustnt be division by zero.