Answer:
Not a function
Domain: {3,4}
Range: {4,5}
Step-by-step explanation:
A function is a relation where each input has its own output. In other words if the x value has multiple corresponding y values then the relation is not a function
For the relation given {(3, 4), (3, 5), (4, 4), (4, 5)} the x value 3 and 4 have more than one corresponding y value therefore the relation shown is not a function
Now let's find the domain and range.
Domain is the set of x values in a relation.
The x values of the given relation are 3 and 4 so the domain is {3,4}
The range is the set of y values in a relation
The y value of the given relation include 4 and 5
So the range would be {4,5}
Notes:
The values of x and y should be written from least to greatest when writing them out as domain and range.
They should be written inside of brackets
Do not repeat numbers when writing the domain and range
Answer:
Step-by-step explanation: 4 ratio is bigger than 3
Answer: The Length of the rectangle is 18 feet.
The width is 8 feet
Step-by-step explanation: Perimeter is 2w + 2L
Length here is <u>2w + 2</u> Substitute this value for L in the equation.
P = 2w + 2L
52 = 2w + 2(2w + 2) distribute and add
52 = 2w + 4w + 4
52 = 6w + 4 Subtract 4 from both sides, Then divide both sides by 6 to solve for w
48 = 6w
8 = w <u>The width is 8 ft</u>
Substitute into the original expression for Length
Length here is <u>2w + 2</u> : 2(8) + 2 16 + 2 = 18
<u>The Length is 18 feet.</u>
<u>Check:</u> in the original equation P = 2w + 2L
52 = 2(8) + 2(18)
52 = 16 + 36 TRUE!
Now cos⁻¹(0.7) is about 45.6°, that's on the first quadrant.
keep in mind that the inverse cosine function has a range of [0, 180°], so any angles it will spit out, will be on either the I quadrant where cosine is positive or the II quadrant, where cosine is negative.
however, 45.6° has a twin, she's at the IV quadrant, where cosine is also positive, and that'd be 360° - 45.6°, or 314.4°.
now, those are the first two, but we have been only working on the [0, 360°] range.... but we can simply go around the circle many times over up to 720° or 72000000000° if we so wish, so let's go just one more time around the circle to find the other fellows.
360° + 45.6° is a full circle and 45.6° more, that will give us the other angle, also in the first quadrant, but after a full cycle, at 405.6°.
then to find her twin on the IV quadrant, we simply keep on going, and that'd be at 360° + 360° - 45.6°, 674.4°.
and you can keep on going around the circle, but only four are needed this time only.
