To find the area of a rhombus, multiply the two diagonals together then divide by 2.
Area = 20 *15 = 300 / 2 = 150 sq. units.
Answer:
C
Step-by-step explanation:
It would be the first answer, the graph if g(x) is the graph of f(x) translated 2 units left
This is because the +2 is in the parentheses with the x which makes it move left or right and because it’s positive you would do the opposite and more it left
Using the volumes, it is found that you spend more water taking a bath.
<h3>What is the volume of a rectangular prism?</h3>
The volume of a rectangular prism of length l, width w and height h is given by:
V = lwh.
For this problem, the dimensions of the tub are as follows:
l = 6, w = 3, h = 2.6.
You use half of that, hence:
V = 0.5 x 6 x 3 x 2.6 = 23.4 feet³.
For the bath, the number of cubic feet is:
1.42 x 11/7.5 = 2.08 feet³.
Hence you spend more water taking a bath, as 23.4 > 2.08.
More can be learned about the volume of a rectangular prism at brainly.com/question/17223528
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Answer:
11. y = -2x - 4.
12. y = x - 5
Step-by-step explanation:
11. the given points on the line are ((-2, 0) and (0, -4)
The slope of the line
= difference in y values / corresponding difference in x values
= ( - 4 - 0) / 0 - (-2))
= -4 / 2
= -2.
The general form of a straight line is y = mx + c where m = the slope and c = y value of the intercept on the y-axis.
So the equation is:
y = -2x - 4.
12.
The points are (1, -4) and (3, -2).
The slope is (-2 - (-4)) / (3 - 1)
= 2/2
= 1.
So the equation is
y = 1x + c
We find c by plugging in the point (1, -4):
-4 = 1 + c
c = -4 - 1
c = -5.
The equation is y = x - 5.