Answer:
(1/27) in^3
Step-by-step explanation:
"sides" is inappropriate here. You meant "a cube with three edges each 1/3 inch long."
V of cube: V = s^3, where s: side length
Here, V = (1/3 in)^3 = (1/27) in^3
Note: all cubes have 6 (six) sides, including this one with 6 1/3 in sides.
Answer: Choice A
y = (-3/4)(x + 4) + 6
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Let's go through the answer choices
- Choice A is something we'll come back to
- Choice B is false because the line does not go uphill as we move from left to right. The graphed line has a negative slope, which contradicts what choice B is saying.
- Choice C is false for similar reasons as choice B. The slope should be negative.
- Choice D has a negative slope, but the y intercept is wrong. The y intercept should be 3. So choice D is false as well.
We've eliminated choices B through D.
Choice A must be the answer through process of elimination.
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Here's an alternative method:
If we started at a point like (0,3) and move to (4,0), note how the slope is -3/4
This is because we've moved down 3 units and to the right 4 units.
m = slope = rise/run = -3/4
We can also use the slope formula m = (y2-y1)/(x2-x1) to see this.
Then we pick on a point that is on the diagonal line. It could be any point really, but the point your teacher used for choice A is (x1,y1) = (-4,6)
So,
y - y1 = m(x - x1)
y - 6 = (-3/4)(x - (-4))
y - 6 = (-3/4)(x + 4)
y = (-3/4)(x + 4) + 6
Answer:
Once you know the sum, you can divide that by 12 to get the measure of each interior angle: 1800°/12 = 150°
Step-by-step explanation:
Answer:
In geometry, a transformation is an operation that moves, flips, or changes a shape (called the preimage) to create a
new shape (called the image). A translation is a type of transformation that moves each point in a figure the same
distance in the same direction. Translations are often referred to as slides. You can describe a translation using words
like "moved up 3 and over 5 to the left" or with notation. There are two types of notation to know.
1. One notation looks like T(3, 5). This notation tells you to add 3 to the x values and add 5 to the y values.
2. The second notation is a mapping rule of the form (x, y) → (x−7, y+5). This notation tells you that the x and
y coordinates are translated to x−7 and y+5.
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
20 - 10 = 10
