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3 years ago

The graph of which of the following inequalities has open circles on -8 and 2 with a line segment between them

Mathematics

2 answers:

Helen [10]3 years ago

6 0

Answer:

Option C is correct answer.

Step-by-step explanation:

since -8 and 2 are end points with open circle therefore

If l x -a l < R

means -R< x-a< R

-R+a<x <a+R

Comparing it with -8<x<2 gives

a-R= -8

a+R= 2

Adding both ,we get 2a = -6 which equals a =-3

plugging the value a =-3 in equation a+R=2

-3+R=2 gives R =5

therefore the inequality is lx-(-3) l < 5

on simplifying we get

l x+3< 5

Option C is the correct answer

Korolek [52]3 years ago

3 0

A. Can NOT be true since the absolute value will be greater than 0.
B. Does NOT work with the solutions -8 and 2.
C.√ Correct
|-8+3| = 5
|2+3| = 5

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PLEASE HELP!!! Find MG. ∆EGF~∆EML.

stiv31 [10]

Answer:

$MG=56\ units$

Step-by-step explanation:

step 1

Find the value of x

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

In this problem we have that

∆EGF~∆EML

$\frac{EG}{EM}=\frac{EF}{EL}$

substitute the given values

$\frac{5x+2}{16}=\frac{126}{28}$

solve for x

$5x+2=\frac{126}{28}(16)$

$5x+2=72\\5x=70\\x=14$

$EG=5x+2=5(14)+2=72\ units$

step 2

Find MG

we know that

$MG=EG-EM$

substitute

$MG=72-16=56\ units$

3 0

3 years ago

The shop declare a discount of 20% and later a discount of 15% after

Oksi-84 [34.3K]

In order to calculate the equivalent discount, consider the principle number is 100,
Then, 100 - 100 * 0.20 = 100 - 20 = 80
Now, 80 - 80 * 0.15 = 80 - 12 = 68

So, Total discount would be: 100 - 68 = 32%

Hope this helps!

8 0

3 years ago

In a standard deck of cards, how many different sets of 4-of-a-kind are there?

attashe74 [19]

There are 13 different 4 of a kinds.
4 aces 4 twos 4 threes 4 fours 4 fives 4 sixes 4 sevens 4 eights 4 nines 4 tens
1 2 3 4 5 6 7 8 9 10
4 jacks 4 queens 4 kings
11 12 13
The answer is 13 different sets.
I hope this helps :)

8 0

3 years ago

Can SOMEBODY PLS HELP ME

kkurt [141]

G= -36
If you need a step by step please message me

8 0

3 years ago

Read 2 more answers

I don't know how to solve this problem

Rom4ik [11]

Before you read this!! To me, it looks like 8 is the entire length of lineJL, but it may only be the length of lineJM. I've written the steps for lineJL=8 NOT lineJM=8. If this is not the case and 8 is only the length of lineJM let me know so I can fix my answer!

Step-by-step explanation:

The area of a triangle is A=1/2(b)(h)

B=base

H=height

Your height is found in the line in the middle of the triangle, for you it is 6.

The base is the long bottom line on the triangle (lineJL), for you it is 8.

So let's put it in.

A=1/2(8)(6)

A=24sq units (C)

4 0

3 years ago