Answer:
(7, 3)
Step-by-step explanation:
Using the midpoint formula
M(X, Y) = {(ax1+bx2/a+b), ay1+by2/a+b}
X = ax1+bx2/a+b
X = -5(1)+3(11)/1+3
X = -5+33/4
X = 28/4
X = 7
Y = ay1+by2/a+b
Y = 1(12)+3(0)/1+3
Y = 12/4
Y = 3
Hence the coordinate of P is at (7, 3)
Question 1)
Let "y" denotes the number of yards and "m" denotes the number of meters. According to the give statement, measurement in yards can be changed to measurement in meters by multiplying the measure in yards by 0.9144.
So,
Measure in Meter = 0.9144 x Measure in Yards
m = 0.9144y
Question 2)
We are to convert 7200 yards into meters. Using the values in above equation we can write:
m = 0.9144 x 7200
m = 6583.68 meters
This means 7200 yards are equivalent to 6583.68 meters..
Question 3)
We are to convert 2500 meters to yards.
Using the value in above equation, we get:
2500=0.9144y
⇒
y = 2500/0.9144
y = 2734.03 yards
So this means 2500 meters are equivalent to 2734.03 yards.
Answer:
x=3±3i
Step-by-step explanation:
The slope of the straight line is -1/2 whereas the y-intercept is 3/8.
<h3>What is defined as the equation of line in slope intercept form?</h3>
Recognize that the y-intercept is the point at which the graph intersects the y-axis; that's where we usually begin.
- Determine the slope first, then the y-intercept. For the time being, just consider if the slope is either positive or negative.
- The following are the variables that we will begin to use in our function:
- slope = m
- b = the y-intercept
- The formula is y = mx + b. The variables x and y remain alphabets, but m and b have been replaced by numbers (for example, y = 2x + 4, slope = 2, and y-intercept = 4).
Because the two quantities in the equation are now the slope and the intercept, this equation is known as the slope-intercept form.
y = mx + b
Remember that the slope (m) is the number multiplied by x, while the intercept (b) is indeed the number added or subtracted.
The given equation is;
4x + 8y = 3
Re-arranging the equation;
8y = -4x + 3
Divide the whole equation by 8.
y = -4x/8 + 3/8
Further simplifying;
y = -x/2 + 3/8
Comparing the result with the general form of equation.
m = -1/2; which is the slope.
c = 3/8; which is the y-intercept.
Thus, the values for slope and y-intercept are estimated.
To know more about the slope-intercept form, here
brainly.com/question/9675233
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The correct question is-
Find the -intercept and the slope of the line 4x + 8y=3. Write your answers in simplest form.
