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Fittoniya [83]
3 years ago
11

Point J is on line segment IK. Given JK = 2x, IJ = 5x, and IK = x + 6, determine the numerical length of JK.

Mathematics
1 answer:
Andre45 [30]3 years ago
8 0

Answer:

JK = 2

Step-by-step explanation:

Given:

JK = 2x

IJ = 5x

IK = x + 6

Required

Solve for JK.

Since J is on IK, we have:

IK = IJ + JK

x + 6 = 5x + 2x

x + 6 = 7x

Collect Like Terms

7x - x = 6

6x = 6

Solve for x

x = 6/6

x = 1

Substitute 1 for x in JK = 2x

JK = 2 * 1

JK = 2

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Part of the population of 7000 oak in a wildlife preserve is infected with a parasite. A random sample of 50 elk shows that four
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Answer:

Answer is 560

Refer below.

Step-by-step explanation:

4/50=x/7000

50x=28000

X=560

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3 years ago
4n - 30 = 7(-2n + 2) +10
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N=3
Distribute them at the numbers, add 30 to both sides of the equation then simplify. Then add 14 to both sides of the equation. Simplify again. Divide both sides of the equation by the same factor. Simplify. Answer is n=3
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(4.7) and (6,10) find slope​
hichkok12 [17]

Answer: 3/2

<u>Use the slope formula</u>

y_{2}-y_{1}/x_{2}-x_{1}

10-7/6-4

=3/2

<u>Note</u>

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3 years ago
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what algorithm (rule) will produce the correct result for the sum "a+b" where a and b each represent any rational number.
Leokris [45]

Answer:

To find the sum of  a + b where a and b are rational number.

1. when a and b are natural numbers

just add them . for example a =3, b=8

then ,a + b = 11

2. When a and b  are whole numbers,

simply add them . for example a= 0, b=8

a+ b = 0 + 8= 8

3. When  a and b are integers

for example, a =-1 b=8,

a+ b= -1+ 8 =7,

a=-2, b= -8

a+ b= -2-8=-10

a= -6 , b=2

a+ b= -6 + 2= -4

a= 8, b= -2

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I have written this because Rational number = [Integers{Whole number(Natural number)}]

now when a= Any fraction=\frac{p}{q} and b = Any fraction=\frac{u}{v}

now ,

\frac{p}{q} + \frac{u}{v}

Find L.C.M of q and v

= if q and v are Co-prime , just multiply them to find their  L.C.M.

For example 14,9. LCM=14×9=126

Otherwise, Find factors of q and v . Then take out common factors first and then multiply the remaining with with common factors.For example

q=12 and v=18

12 =2×2×3

18=2×3×3

common factor =2,3

non common=2,3

L.C.M= 2×2×3×3=36

Suppose LCM of q and v = r

then ,\frac{p}{q} + \frac{u}{v}

=\frac{{\frac{r}{q}}\times p+{\frac{r}{v}\times u}}{r}\\

= {{\frac{r}{q}}\times p+{\frac{r}{v}\times u}} = k

then ,

a + b=\frac{k}{r}





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3 years ago
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Answer would be -0.125 I think I hope so:)
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