Answer:
B.
Step-by-step explanation:
First convert the equation to slope-intercept form:
2x - 5y = 7
-5y = -2x + 7
y = 2/5 x - 7/5
So the slope of the given line is 2/5.
So the slope of a perpendicular line will be -1/ 2/5 = -5/2.
Take B:
5x + 2y = 3
2y = -5x + 3
y = -5/2.
So its B.
Answer:
287.1 inches of the canvas.
Step-by-step explanation:
To solve this, we need to first figure out the total area of the canvas. To do that, multiply width by height.
29*33=957
Now set up your equation for solving for the area of the canvas that the rose covers.
x/957=30/100
We did it where: x is the area of the rose covers, 957 is the amount of inches that the canvas takes up, and the right side of the equation is the percent.
Now cross multiply.
100x=28,710
Now divide both sides by 100.
x=287.1
The red rose covers 287.1 inches of the canvas.
We know that the volume of a rectangular prism is given by:
V = A · h
where:
A = surface area
h = height
Therefore, you can solve for A:
A = V / h
= 64 / h
Now, you need to ask yourself by how many numbers you can divide 64. The possible heights are 64, 32, 16, 8, 4, 2 and 1.
Hence:
A) there are 7 possible surface areas (one for each possible height).
B) the <span>maximum Area will be that of the box with the minimum height:
A = 64 / 1 = 64
C) the minimum Area will be that of the box with the maximum height:
A = 64 / 64 = 1</span>
Answer:
Step-by-step explanation:
Step 1:
Convert the mixed numbers to the improper fractions:
Step 2:
We multiply the numbers remembering about simplifying: