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Kamila [148]
3 years ago
9

Solve 3kx + 24 = 9kx for x. A. x= 4/k B. x= -2/k C. x= 2/k D. x= -4/k

Mathematics
1 answer:
Hunter-Best [27]3 years ago
4 0
The answer is A)x=4/k
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two runners start 30kilometer apart and run toward each other. they meet after 3hours. One Runner runs 2 kilometers per hour fas
belka [17]

Let the slower runners speed be X kilometers per hour.

Then the faster runners speed would be X+2 kilometers per hour.


The formula for distance is Speed times time.

The distance is given as 30 kilometers and time is given as 3 hours.


Since there are two runners you need to add the both of them together.

The equation becomes 30 = 3x + 3(x+2)

Now solve for x:

30 = 3x + 3(x+2)

Simplify:

30 = 3x + 3x +6

30 = 6x + 6

Subtract 6 from each side:

24 = 6x

Divide both sides by 6:

x = 24/6

x = 4


The slower runner ran at 4 kilometers per hour.

The faster runner ran at 4+2 = 6 kilometers per hour.


3 0
3 years ago
Which function has zeros at x=-2 and x=5?
Licemer1 [7]

Answer:

x^{2} - 3x - 10

Step-by-step explanation:

To start, lets form our polynomial factors from our zeroes.

x = -2

x + 2 = 0

x = 5

x - 5 = 0

Now lets put these into factored form by moving them into parenthesis and multiplying them with each other!

(x+2)(x-5)

We can start moving them out! I am going to use FOIL, but you could also use distributive or any other method/property.

x · x = x²

x · -5 = -5x

x · 2 = 2x

2 · 5 = 10

Now lets put our terms into our polynomial function, based on the order of the powers.

x^{2} - 3x - 10

We are done! Hope this helps!

7 0
2 years ago
What is -29/30 + 7/12 / 1/2
inn [45]
-29/30 +7/12÷1/2
7/12÷1/2=7/6
-29/30 + 7/6=1/5
1/5
7 0
3 years ago
Read 2 more answers
Given: KLIJ is inscribed in circle k(O)
Tems11 [23]

Check the picture below.

let's notice that the angle at K is an inscribed angle with an intercepted arc

\bf \stackrel{\textit{using the inscribed angle theorem}}{K=\cfrac{\widehat{LI}+\widehat{IJ}}{2}}\implies 9x+1=\cfrac{(10x-1)+59}{2} \\\\\\ 9x+1=\cfrac{10x+58}{2}\implies 18x+2=10x+58\implies 8x+2=58 \\\\\\ 8x=56\implies x=\cfrac{56}{8}\implies x=7 \\\\[-0.35em] ~\dotfill\\\\ K=9x+1\implies K=9(7)+1\implies \boxed{K=64}

now, let's notice something again, the angle at L is also an inscribed angle, intercepting and arc of 97 + 59 = 156, so then, by the inscribed angle theorem,

∡L is half that, or 78°.

now, let's take a look at the picture down below, to the inscribed quadrilateral conjecture, since ∡J and ∡I are both supplementary angles, then

∡I = 180 - 64 = 116°.

∡J = 180 - 78 = 102°.

7 0
3 years ago
The EXACT value of 2 divided (0.01)2
777dan777 [17]

Answer:

Find the exact value using trigonometric identities.

100

Step-by-step explanation:

8 0
3 years ago
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