A point is set up like (x,y)
Since horizontal movement is movement in the x-axis, the x part of the point would change.
Since horizontal changes appear as the opposite inside the parentheses, 9 units right would be -9
-3-9= -12
A change up or down is a change in the y-axis. So, 10 units down would be 15-10=5
So, the new point is (-12,5)
Answer:
Step-by-step explanation:
Given the equation
comparing the equation with the slope-intercept form
Here,
so the slope of the line is 2/7
As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so
the slope of the perpendicular line will be: -7/2
Therefore, the point-slope form of the equation of the perpendicular line that goes through (4,-6) is:
Answer:
Hey there!
There are four 1/4 inch long sections in 1 inch. Thus, in four inches there would be 16 of those sections.
16+1=17
Thus, in 4 1/4 inches of rope, there are 17 sections of 1/4 inches.
Hope this helps :)
Answer:
1 6/8 is a mixed number. To turn it into a fraction which is called an improper fraction you have to multiply the denominator by the whole number which is 1, then add the numerator which is 6. Your answer should be 14/8 or simplified to be 7/4.
Step-by-step explanation: Step 1: Multiply the denominator and the whole number. In this case it's 1 and 8. 1x8.
Step 2: Once you get the answer to 1x8 which is 8, you add the numerator to the product. 8+6=14.
Step 3: Since we now know the answer is 14/8 we need to simplify it. We find the greatest common factor between numerator and denominator which is 2. Then divide both 14 and 8 by 2.
Step 4: 1 6/8 as a fraction is 14/8 which simplifies to 7/4.
Hope this helped.
Answer: A - 30 cubes
B - Volume of prism = feet³
Step-by-step explanation: We are given that the dimensions of the rectangualr prism is,
Length = = feet
Width = 1 foot
Height = = feet
Thus, the volume of the prism = Length × Width × Height
i.e. Volume of the prism = × 1 × = feet³
Now, the side of the cube = foot each.
Volume of the cube = = feet³
