Plzz help I’m having trouble I need it soon !! Thank u

Mathematics

1 answer:

a_sh-v [17]3 years ago

4 0

I’m not sure what you have to find but if your trying to find what x and y equal y = 45 and x = 135

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Find 5 consecutive whole numbers if it is known that the sum of the squares of the first 3 numbers is equal to the sum of the sq

lora16 [44]

Let the first number of the five we are looking for equal n.

Because the numbers are consecutive, the next four can be expressed as (n+1), (n+2), (n+3) and (n+4).

Our series of 5 numbers is therefore n,(n+1),(n+2),(n+3),(n+4).

We are told the sum of the squares of the first 3 is equal to the sum of the squares of the last 2 therefore:
n² + (n+1)² + (n+2)² = (n+3)² + (n+4)²

expand all the brackets to give
n² + n² + 2n + 1 + n² + 4n + 4 = n² + 6n + 9 + n² + 8n + 16
3n²+6n+5 = 2n²+14n+25
n²-8n-20=0

factorising this gives us
(n+2)(n-10) = 0 so the solutions are n=10 and n=-2

That means that n,(n+1),(n+2),(n+3),(n+4) could be [-2, -1, 0, 1 and 2] or [10, 11, 12, 13 and 14].

Since the question asks for whole numbers, and negative numbers are not classed as whole numbers, the numbers we want must be 10, 11, 12, 13 and 14.

You can check this on a calculator by doing 10² + 11² + 12² (=365) and 13² + 14² (=365).

3 0

3 years ago

Please help, im not sure how to do it

Alex Ar [27]

Answer:

Product means to multiply.

No more than 30 is basically it can be 30 OR less nothing more.
k(-5) ≤ 30
Thats your inequality.

Solution is easy.
-5k ≤ 30
Divide -5
k ≥ 6
k ≥ 6 since when you divide or multiply by a negative number the inequality is flipped.

k≥ 6 is your solution .

8 0

2 years ago

Read 2 more answers

List the sides of triangle ΔMNP in ascending order (shortest to longest) if: Chapter Reference a m∠M = 64°, m∠N = 48°

scoray [572]

The given angles are
M = 64
N = 48
where P is unknown. While we don't know P at first, we can solve for it. Recall that for any triangle, the three angles always add to 180 degrees

M+N+P = 180
64+48+P = 180
112+P = 180
112+P-112 = 180-112
P = 68

-------------------------------------------

So in summary so far
M = 64
N = 48
P = 68

The shortest side is opposite the smallest angle. The side MP is opposite the smallest angle N = 48

The longest side is going to be opposite the largest angle. In this case, side MN is opposite the largest angle P = 68

The medium side is opposite the medium angle. So NP is the medium side length

-------------------------------------------------------

Final Answers:
Shortest Side = MP
Medium Side = NP
Longest Side = MN
See the attached image for a visual summary

The ascending order would be: MP, NP, MN

Note: Something like MP is the same as PM. The order of endpoints for any given individual segment doesn't matter

6 0

3 years ago

Convert this ratio to a fraction that is simplified. 2 1/3: 4 1/2

Nata [24]

2 1/3=7/3=14/6
4 1/2=9/2=27/6
14/6 : 27/6
Simplified: 14 ：27
That's your answer.

8 0

3 years ago

Use the function below to find F(4) F(x) = 5 * (1/3) ^ x

Inessa05 [86]

The answer for the function F(4) = 5/81

Step-by-step explanation:

The given function is F(x) = 5 * (1/3) ^ x

step 1 :

The x value is given as the input to get the output from F(x)

step 2 :

Here, F(4) means that the x value is x=4

step 3 :

Now, substitute x=4 in the given function F(x)

F(4) = 5 (1/3)^4

=5 (1/81)

F(4) = 5/81

7 0

4 years ago