Answer:
Step-by-step explanation:
Area is the product of two dimensions.
<u>If the scale factor is 1/4, the ratio of the areas will be: </u>
The smaller prism has a surface are of 45 cm².
<u>The larger prism has a surface area:</u>
To check if this point lies on the line, plug in a 2 for x and a y for 1 and solve
x+2y=5
2+2(1)=5
4=5
Since this statement isn't true, then the point doesn't lie on the line
Hope this helps
Answer:
Work Shown:
Explanation:
As the steps above show, the goal is to factor the expression under the root in terms of pulling out cubed terms. That way when we apply the cube root to them, the exponents cancel. We cannot factor the y term completely, so we have a bit of leftovers.
Answer:
Thus, volume of pyramid = cm³
Step-by-step explanation:
Given: A solid right pyramid has a square base with an edge length of x cm and a height of y cm.
We have to choose from the given options an expression for the volume of the pyramid.
Volume of pyramid =
Since base is a square with edge length x cm.
Area of square = (side)² = x²
Thus, volume of pyramid = cm³
The expression y = 1/2x + 6 is written in slope-intercept form (y = mx + b) where m equals the slope and b equals the y-intercept. In this equation m = 1/2 and b = 6. So, the slope is 1/2 and the y-intercept is 6. The y-intercept is going to be on y-axis, so, its going to be written as (0, 6). The only option that is correct is [ The slope is 1/2 and the y-intercept is at the point (0,6) ]
Best of Luck!