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cupoosta [38]
3 years ago
7

The perimeter of a rectangle is 64 units. Can the length x of the rectangle can be 20 units when its width y is 11 units?

Mathematics
1 answer:
Oksi-84 [34.3K]3 years ago
7 0
B. No, the rectangle cannot have x = 20 and y = 11 because x + y ≠ 32

Perimeter = 2(l + w)
Perimeter = 64

Assuming: P = 64; w = 11 ; l = ?
64 = 2(l + 11)
64/2 = l + 11
32 - 11 = l
length = 21.

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When asked to write the domain for the equation y= |x - 6| + 3, Mary wrote the Domain is y < 3. What mistake(s) did Mary make
castortr0y [4]

Answer:

Ok, the domain is the set of values that we can input in a function.

In this case, we have:

y = Ix - 6I + 3.

Notice that there is no restriction here, x can actually take any value, then the domain will be the set of all real numbers.

The correct domain is x, x ∈ R

Now, if we had (for example) something like:

y = Ix - 6I < 3

Now we have a restriction in the domain because we can not have y equal or larger than 3.

To find the domain, we can break the absolute value:

Ix - 6I < 3

is equivalent to:

-3 < x - 6 < 3

now let's add 6 in each side.

-3 + 6 < x - 6 + 6 < 3 + 6

3 < x < 9

That will be the domain in that case.

6 0
2 years ago
Please hurry! If you don't know it, that's okay.
makvit [3.9K]

Answer:

The answer is (x,y)=(-10,-7)

Step-by-step explanation:

  • The solution comes from replace x= -10 into the equation of y=2/5 x -3.
  • Replacement of x= -10 into y = 2/5 x -3 results: y=\frac{2}{5}\times{(-10)}-3=2\times{(-2)} -3=-4-3=-7.
7 0
3 years ago
Please help asap!
Alexeev081 [22]

Answer:

61.12

Hope this helps :3

3 0
3 years ago
The speed of the current in a creek is 5 mph. A person clan kayak 3 mi upstream in the same time that it takes him to kayak 13 m
Brut [27]

Answer:

8

Step-by-step explanation:

0) the basic formula is: L=v*t, where L - distance, v - speed/velocity; t - time;

1) if the person's speed in still water is 'v' and the speed of water is 5 (according to the condition), then the upstream speed is 'v-5' and the downstream speed is 'v+5';

2) according to the condition the upstream time and the downstream time are the same, it means t₁=t₂=t, where t₁=upstream time and t₂=downstream time;

3) according to the items above it is possible to make up the equation of the upstream travel: t(v-5)=3; ⇒ t=3/(v-5);

4) according to the items above it is possible to make up the equation of the downstream travel: t(v+5)=13; ⇒ t=13/(v+5);

5) if t=3/(v-5) and t=13/(v+5), then

\frac{3}{v-5} =\frac{13}{v+5}; \ => \ v=8.

8 0
2 years ago
What is the pattern sequence for 1,2,5,6,9
alisha [4.7K]

Step-by-step explanation:

It is 1 then 2 then 3

Bcz 1 2 5 6 9 10 11 12 13

5 0
3 years ago
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