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konstantin123 [22]
2 years ago
10

point k is between j and l. if jk = x^2 - 4x , kl = 3x - 2 and jl = 28 write and solve an equation to find the lengths of jk and

kl
Mathematics
1 answer:
inn [45]2 years ago
7 0

Answer:

JK=12

KI=16

Step-by-step explanation:

K\in\ [JI]\ \Rightarrow\ |JK|+| KI |=|KI|\\\\x^2-4x+3x-2=28\\\\\Longleftrightarrow\ x^2-x-30=0\\\\\\\Longleftrightarrow\ x^2+5x-6x-30=0\\\\\\\Longleftrightarrow\ x(x+5)-6(x+5)=0\\\\\\\Longleftrightarrow\ (x+5)(x-6)=0\\\\x=-5\ (excluded)\ or\x=6\\\\\\\Longleftrightarrow\ \\|JK|=x^2-4x=6^2-4*6=36-24=12\\|KI|=3x-2=3*6-2=18-2=16\\\\Proof: 12+16=28\\

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You discovered you can deduct medical expenses over 6% of your income. Your income is $42,000 and you had medical expenses of $5
iren2701 [21]

No portion of your medical expenses you can deduct

Step-by-step explanation:

You discovered you can deduct medical expenses over 6% of

your income

Your income is $42,000

You had medical expenses of $567

We need to find the portion of your medical expenses you can deduct

∵ Your income = $42,000

∵ You can deduct medical expenses over 6% of your income

- Find the 6% for your income

∵ 6% of the income = \frac{6}{100} × 42,000 = $2520

∴ 6% of your income is $2520

∵ You can deduct medical expenses over 6% of your income

∴ If your medical expenses greater than $2520, then you can

   deduct the value greater than it, but if your medical expenses

   smaller than $2520, then you can not deduct any value

∵ You had medical expenses of $567

∵ $567 < $2520

∴ There is no value you can deduct from your medical expenses

No portion of your medical expenses you can deduct

Learn more:

You can learn more about percentage in brainly.com/question/12960754

#LearnwithBrainly

4 0
3 years ago
gabriel has 6 2/3 of almond flour to make macaroons. he plans to make a recipe that uses 3/4 of a cup of almond flour. what is t
harina [27]

Answer:

8 cups max

Step-by-step explanation:

3/4 cup = 1 recipe

6 2/3(20/3) cup =  <u>20/3 x 1 </u>

                                  3/4

= <u>20</u> / <u>3</u>

   3     4

= <u>20</u> x<u> 4</u>

   3     3

= 80/9

= 8 cups max

the 9th cup will not be enough.

6 0
2 years ago
How would you solve these types of geometry questi
Vlad [161]

Answer:

X=13

Step-by-step explanation:

Basically you  want to solve for x

If you look at the image it has a striaght line... A striaght line in Angles means both Angles ADDED together need to be equal to 180.

so we will write it like this (11x-15)+(5x-13)=180

to solve you need to isolate X to do that you need to move some number around but first lets take these numbers out of parenthesis...

11x-15+5x-13=180

Now we need to combine liked terms

our liked terms are 5x and 11x

and -15 and -13

add 5x and 11x= 16x

and add -15 and -13= -28

16x-28=180

Now we need to move a number

easiest number to move is -28

to do so we need to add 28 on both sides to cancel it out from one side.

-28+28=0

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16x=208

now we need to isolate x

meaning now we need to divide 16 on both sides...

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1 is same as X because X is one

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x=13

now we need to plug it in to each of the original equations and check our answer

(11(13)-15)= 11*13= 143  143-15= 128

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now lets see if both of these answers added together equal 180

128+52=180

yes it does so it is correct X = 13

5 0
3 years ago
If a quadrilateral is a parallelogram, then its opposite sides are _________.
GrogVix [38]
C: Both parallel and congruent

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7 0
3 years ago
Simplify completely 3x + 18 / 18
disa [49]

Answer:

3(x + 6)/18

= x + 6 /6

Step-by-step explanation:

hope this helps you

4 0
2 years ago
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