Answer:
(x, y) = (3, 5)
Step-by-step explanation:
To solve these equations graphically, you plot each one, then identify the coordinates of the point of intersection.
The first equation can be graphed using the y-intercept of -1 and the slope of 2.
The second equation has a y-intercept of 18/3 = 6, and a slope of -1/3. The x-intercept of 18 is off the chart, so the slope and intercept are a good way to plot this line, too.
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The slope is the "rise" divided by the "run". A slope of 2 means the line goes up 2 units for each unit to the right. A slope of -1/3 means the line goes down 1 unit for each 3 units to the right.
The solution is (x, y) = (3, 5).
Answer:
The value of y is 847 for x=11
Step-by-step explanation:
It is given that y is directly proportional to the square of x
This can be written mathematically as:
Removing the proportionality symbol introduces a proportionality constant in the equation which is denoted by k
Given that "When x is 5, y is 175"
Putting the value of k
Now putting x = 11
Hence,
The value of y is 847 for x=11
Answer:
The angles are 79.45, 59.02 and 41.53 degrees to the nearest hundredth.
Step-by-step explanation:
We have a triangle with sides of length 8.6, 5.8 and 7.5 feet.
Using the Cosine Rule to find the measure of the angle opposite the side of length 8.6 feet:
cos X = (8.6^2 - 5.8^2 - 7.5^2) / ( -2*5.8*7.5)
= 0.18310
X = 79.45 degrees.
We can now find another angle using the sine rule:
8.6 / sin 79.45 = 7.5/ sin Y
sin Y = (7.5 * sin 79.45) / 8.6
Y = 59.02 degrees
So the third angle = 180 - 79.45 - 59.02
= 41.53 degrees.
change
given you
making x the subject by transferring the -19 to the right hand side of the equation
dividing through by 5
{}
also given
change the operation sign to =
dividing through by -4
so the truth set is
{x:x>9/4}.
The < sign changes to > because we divided by a negative number when solving for x