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Shkiper50 [21]
3 years ago
8

If y is directly proportional with x and y=24 when x=6. What is the value of x when y=16

Mathematics
1 answer:
aliya0001 [1]3 years ago
8 0

Answer:

x = 4

Step-by-step explanation:

Given y is directly proportional to x then the equation relating them is

y = kx ← k is the constant of proportion

To find k use the condition y = 24 when x = 6 , then

24 = 6k ( divide both sides by 6 )

4 = k

y = 4x ← equation of proportion

When y = 16, then

16 = 4x ( divide both sides by 4 )

4 = x

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Can the sides of a triangle have lengths 6.2, 0.5, and 7.8?<br> yes or no
Vitek1552 [10]
No, it's not possible for the sides of a triangle to have those lengths.

According to the triangle inequality theorem, the sum of any two sides of the triangle has to be bigger than the last side. Let's test this.

6.2+7.8\ \textgreater \ 0.5

This inequality satisfies the triangle inequality theorem.

7.8+0.5\ \textgreater \ 6.2

This also satisfies the theorem.

6.2+0.5 \textless \ 7.8

Uh oh. This does not satisfy the triangle inequality theorem. Thus, it is not possible for a triangle to have these side lengths.
4 0
3 years ago
Plz help I will give BRAINLY
Brut [27]

Answer:

I believe it is C

Step-by-step explanation:

Sorry if I got it wrong but hopefully you got it right

6 0
3 years ago
Solve the equation: k^2+5k+13=0
mr_godi [17]

Step-by-step explanation:

k² + 5k + 13 = 0

Using the quadratic formula which is

x =  \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a}  \\

From the question

a = 1 , b = 5 , c = 13

So we have

k =  \frac{ - 5 \pm \sqrt{ {5}^{2} - 4(1)(13) } }{2(1)}  \\  =  \frac{ - 5 \pm \sqrt{25 - 52} }{2}  \\  =  \frac{ - 5 \pm \sqrt{ - 27} }{2}  \:  \:  \:  \:  \:  \:  \\  =  \frac{ - 5  \pm3 \sqrt{3}  \: i}{2}  \:  \:  \:  \:  \:  \:

<u>Separate the solutions</u>

k_1 =  \frac{ - 5 + 3 \sqrt{3} \: i }{2}  \:  \:  \:  \: or \\ k_2 =  \frac{ - 5 - 3 \sqrt{3}  \: i}{2}

The equation has complex roots

<u>Separate the real and imaginary parts</u>

We have the final answer as

k_1 =  -  \frac{5}{2}  +  \frac{3 \sqrt{3} }{2}  \: i \:  \:  \:  \: or \\ k_2 =  -  \frac{5}{2}  -  \frac{3 \sqrt{3} }{2}  \: i

Hope this helps you

8 0
2 years ago
For brainiest:):):):)::):):):)
scZoUnD [109]

Answer:

The unit rate is accurately \frac{1}{4} (km/minute)

Step-by-step explanation:

(1,1/4) means that the vehicle traveled 1/4 km within 1 minute.

The unit rate for this problem is also known as the speed of the vehicle.

So to find the speed, you need to use distance over time.

---> Unit rate: \frac{1}{4}\\ / 1 = \frac{1}{4} (km/minute)

(2,1/2) means that the vehicle traveled 1/2 km within 2 minutes.

Same process:

---> Unit rate: \frac{1}{2} / 2 =

Because of this, the unit rate is accurately \frac{1}{4} (km/minute)

8 0
2 years ago
530 : 34 =?<br> Write your answer as a whole number and remainder.
Scorpion4ik [409]
168 and 7 as remainder
3 0
3 years ago
Read 2 more answers
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