Answer:
y = 2x - 3
Step-by-step explanation:
Since the equation for the line y = 2x + 5 is already in slope-intercept form (y = mx + b), the slope (m) is 2. A parallel line will have the same slope. Now use point-slope formula to find an equation for the parallel line including point (3,3). Point-slope formula is:
(y – y₁) = m(x – x₁), where m is the slope (2) and (x₁, y₁) is the point the line passes through (3,3).
Therefore:
(y – 3) = 2 (x – 3)
y – 3 = 2x – 6
y – 3 + 3 = 2x – 6 + 3
y = 2x - 3
Answer:
78% (to the nearest tenth)
Step-by-step explanation:
Volume of a cube = (length )³
Let the length of the cube = y
Original volume = y³
if the length is decreased by 40%, then new length = 1- (40% of y)
= 1-0.4y
= 0.6%
New volume (after decreasing the length) = (0.6y)³
= 0.216y³
% Volume decrease = (Original volume - New volume)/Original Volume x 100%
= (y³ - 0.216y³)/ y³ x 100%
= 0.784y³/y³ x 100%
=78.4%
≈78%
The total number of kids:
8+24 = 32
the ratio is 24:32
it simplifies into 3:4
(1/8), (2/8), (3/8), (4/8), (5/8), (6/8), (7/8)
if u want, 2/8=1/4, 4/8=1/2, 6/8=3/4
<h2>
Hello!</h2>
The answer is:
The area of this figure is 946 square inches.
<h2>
Why?</h2>
We can see that the figure is composed by two rectangles with diferrent dimensions, so, to calculate the area of the entire figure.
So,
For the first rectangle, we have:
The area will be:
For the second rectangle, we have:
The area will be:
Now, calculating the area of the entire figure, we have:
Have a nice day!