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a_sh-v [17]
3 years ago
14

If K is the midpoint of jl ,jk =9x-1 and kl =2x+27, find jl

Mathematics
1 answer:
earnstyle [38]3 years ago
5 0

Answer:

JL = 70

Step-by-step explanation:

If K is the midpoint of the segment, then JK = KL

JK = KL

9x-1 = 2x+27

Subtract 2x from each side

9x-2x -1 = 2x+27-2x

7x-1 = 27

Add 1 to each side

7x-1+1 = 27+1

7x = 28

Divide each side by 7

7x/7 = 28/7

x =4


But we want to find JL

JL = JK + KL

JL = 9x-1 +2x+27

Combine like terms

JL =  11 x+ 26

Substitute x =4

JL = 11*4+26

JL = 44+26

JL = 70

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3 years ago
Read 2 more answers
A bacteria population is 10,000 when it first measured and then doubles each day
kotykmax [81]
Keep adding by the same value everytime so start with 10,000 then add 20,000 etc
4 0
2 years ago
Choose the correct simplification of the expression (-9a^3b^2c^10)^0
Flauer [41]

Option C: 1 is the simplification of the expression \left(-9 a^{3} b^{2} c^{10}\right)^{0}

Explanation:

The given expression is \left(-9 a^{3} b^{2} c^{10}\right)^{0}

We need to simplify the given expression.

<u>Simplification:</u>

To simplify the given expression, let us apply the exponent rule, a^{0}=1 where a \neq 0

Thus, the the exponent rule a^{0}=1 means that any value (except zero) to the power of zero is equal to one.

Thus, the expression \left(-9 a^{3} b^{2} c^{10}\right)^{0} becomes,

\left(-9 a^{3} b^{2} c^{10}\right)^{0}=1

Therefore, the simplified expression is 1

Hence, Option C is the correct answer.

8 0
3 years ago
The perimeter of a triangle is 22cm. If one of the sides is 9cm,find the other sides if the area of the triangle is 20.976cm2 ​
Mekhanik [1.2K]

Answer:

Third side = 8.34 cm

Step-by-step explanation:

Given that,

The perimeter of a triangle, P = 22 cm

One side of a triangle, b = 9 cm

The area of the triangle, A = 20.976 cm²

The formula for the area of a triangle is given by :

A=\dfrac{1}{2}\times b\times h\\\\h=\dfrac{2A}{b}\\\\h=\dfrac{2\times 20.976}{9}\\\\h=4.66\ cm

Perimeter = Sum of all sides

9 cm + 4.66 cm + x = 22

x = 22 - 13.66

x = 8.34 cm

So, the third side of the triangle is 8.34 cm.

8 0
3 years ago
HELP NEED AN ANSWER DUE TODAY!!
AnnyKZ [126]

z < 1.25

I used mathaway it's correct

4 0
3 years ago
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