Gradient is synonymous to slope.
y = 6x + 5 is an example of a slope-intercept form of a straight-line equationl.
The slope-intercept equation is like this:
y = mx + b
where : m = slope ; b = "y-intercept"
y = 6x + 5
6 is the slope
5 is the y-intercept.
Since slope and gradient are synonymous, 6 is the gradient of the above equation.
Answer:
(2,-3)
Step-by-step explanation:
I am not sure if you meant the first equation to be y or -y. I solved it as y.
y = x-5 -x -3y =7
I am going to take the second equation and write it as x =
-x - 3y = 7 Give equation
-x = 3y +7 Add 3y to both sides
x = -3y-7 Multiplied each term in the equation by -1 so that x could be positive
I am going to substitute -3y-7 for x in the first equation up above
y = x - 5
y = -3y -7 - 5 Substitute -3y-7 for x
y = -3y -12 Combined -7-5
4y = -12 Added 3y to both sides
y = -3 Divided both sides by 4.
I now know that y is -3, I will plug that into x = -3y-7 to solve for x
x = -3(-3) -7
x = 9-7 A negative times a negative is a positive
x = 2
Answer:
31 units ²
Step-by-step explanation:
Area of a rectangle = length × width
Length = 8 units
Width = 5 units
Area of a rectangle = length × width
= 8 units × 5 units
= 40 units ²
Area of of the blue square = length ²
Length = 3 units
Area of of the blue square = length ²
= (3 units) ²
= 9 units ²
Area of the orange colored part of the figure = Area of a rectangle - Area of of the blue square
= 40 units ² - 9 units ²
= 31 units ²
Area of the orange colored part of the figure = 31 units ²
Answer:
Step-by-step explanation:
since 3 * 15 = 45, we know that we have to multiply 5 by 15. so the ratio would be 45:75. I hope this helps!
Here is the answer as shown in the picture:
