When raising fractions to a power, we independently raise the numerator and denominator to the power. To find the base, we need to find the square root of 9 and 16 because when those two values are squared, we get 9/16.
The square root of 9 is 3, and the square root of 16 is 4.
So the base is 3/4.
Hope this helps :)
Answer:
5 hours 6 minutes
Step-by-step explanation:
Answer:
The equation of the circle with centre (5, 6) and radius = 3 is x2 +y2 - 10x - 12y + 52 = 0.
I believe this is the answer.
Answer:
y < 1/2x - 3
Step-by-step explanation:
You can write the inequality equation for the graph using the form y = mx + b. The inequality line has a y-intercept at (0,-3). This means b = -3. It also has a slope of 1/2 since the line moves up 1 and over 2 to the next point on the line.
This means the lines equation is y = 1/2x - 3. But since this is an inequality, you must use an inequality sign. Since the line is dashed it is not equal to. Your options are < and >. Use the point (0,0) to test which sign is appropriate.
y < 1/2x - 3 y > 1/2x - 3
0 < 1/2(0) - 3 0 > 1/2(0) - 3
0 < -3 0 > -3
The answer is y < 1/2x - 3 since (0,0) doesn't make it true and (0,0) is not shaded in the graph. This means it is not a solution.
In this problem, the reference of the scale is referring to feet. Firstly, convert 72 inches to feet so that you can properly make the proportion.
72 inches = 6 feet
With the scale of 2 inches per 3 feet, we can set up an easy proportion to see how wide the door will be on the drawing.
3 feet 6 feet
——— = ————
2 inc. ‘x’ inc.
3x=12
X=4 inches
Solving the proportion by cross-multiplication reveals that the scale drawing of the patio door would be 4 inches wide.