b. How many 1/4 inches tiles would Colby need to cover the top the wooden the box?
3. If a line with a slope of -2 crosses the y-axis at (0, 3), what is the equation of the line?
Answer:
1. The slope is -4/5 and the y-intercept is (0, -9/5).
2. The slope is 3 and the y-intercept is (0,3).
3. The line is y=-2x+3.
Step-by-step explanation:
To find the slope and y-intercept, convert the equation to y=mx+b where m=slope and b=y-intercept.
1. Convert the equation by rearranging the terms using inverse operations.
4x+5y=-9 Subtract 4x to both sides.
-4x -4x
------------------------------------
5y= -9 -4x Divide both sides by 5.
y= -9/5 - 4/5x
This is now in y=mx+b and m=-4/5 and b=-9/5.
2. Convert the equation by rearranging the terms using inverse operations.
y - 3(x-1)=0 Add 3(x-1) to both sides.
+3(x-1) +3(x-1)
------------------------------------
y = 3(x+1) Multiply 3 into the parenthesis.
y = 3x+3
This is now in y=mx+b and m=3 and b=3.
3. Write the equation of a line using point slope form
.
This becomes
Here m =-2 and b=3.
Answer:
Step-by-step explanation:
sin x=−4/5
x=sin^-1(4/5)
x=about 53.1
x=(-4/5)/sin(53.1 degrees)=about -2.64662408617
what do you need for pi?