Answer: Q=1/2p+15,= p=2q-30= Slope = 1.000/2.000 = 0.500
p-intercept = -30/1 = -30.00000
q-intercept = 30/2 = 15
Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
p-(2*q-30)=0
Solve p-2q+30 = 0
we have an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line p-2q+30 = 0 and calculate its properties
Notice that when p = 0 the value of q is 15/1 so this line "cuts" the q axis at q=15.00000
q-intercept = 30/2 = 15
When q = 0 the value of p is -30/1 Our line therefore "cuts" the p axis at p=-30.00000
p-intercept = -30/1 = -30.00000
Slope is defined as the change in q divided by the change in p. We note that for p=0, the value of q is 15.000 and for p=2.000, the value of q is 16.000. So, for a change of 2.000 in p (The change in p is sometimes referred to as "RUN") we get a change of 16.000 - 15.000 = 1.000 in q. (The change in q is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 1.000/2.000 = 0.500
I was thinking the measurement for ;length should be 2.5n + 8 feet since width is 6n -2.5 feet , but you gave 2.5+ 8 feet, so i will solve it in both ways
Answer: Perimeter = 5 + 12n + 11 feet ; Perimeter = 17n+ 11 feet
Step-by-step explanation:
Using Length = 2.5+ 8 feet,
Perimeter of a rectangle is calculated as 2( l+ b)
Given that width=6n - 2.5 feet
length =2.5 + 8 feet
Perimeter =2( l+ b)= 2L + 2B
Perimeter= 2(2.5 + 8feet ) + 2( 6n - 2.5 feet)
Perimeter = 5 + 16feet + 12n - 5feet
Perimeter = 5 + 12n + 11 feet
Using Length = 2.5n+ 8 feet,
Perimeter of a rectangle is calculated as 2( l+ b)
Given that width=6n - 2.5 feet
length =2.5n+ 8 feet
Perimeter =2( l+ b)= 2L + 2B
Perimeter= 2(2.5n + 8feet ) + 2( 6n - 2.5 feet)
Perimeter = 5n + 16feet + 12n - 5feet
Perimeter = 5n + 12n + 11 feet
Perimeter = 17n+ 11 feet
Making a list can help you solve a math problem because it shows you the information you will be using.
Sally is 13 years old. Sally's brother Mark is twice as old as Sally. Sally's older sister Daffy is the sum of Sally and Mark's age. How old is Daffy?
making a list in this question tells you all of the different ages and lists them out in a row.
Answer:
I cant see the image it doesnt seem to be loading but here is how to do the problem-->.
Add both the x coordinates and divide by 2 (this is the new x coordinate for the midpt)
next:
Add both y coordinates and divide by 2(this is the new y coordinate for the midpt)
Step-by-step explanation:
Answer:
y= -2x
Step-by-step explanation:
The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.
Given that the slope is -2, m= -2.
subst. m= -2 into the equation:
y= -2x +c
To find the value of c, substitute a coordinate.
When x= -4, y=8,
8= -2(-4) +c
8= 8 +c (expand)
c= 8-8 (-8 on both sides)
c=0 (simplify)
Thus, the equation of the line is y= -2x.
