Which set of line segments could create a right triangle?

Find values of a and b that make the statement |a+b|= |a|+|b| false.

jok3333 [9.3K]

The values that make this statement falser are any in which a and b do not have the same sign.

For instance, if a was equal to 3 and b was equal to -3 than see the results.

|a+b|=

|3+-3|=

|0|= 0

Then see the next equation with the same selections

|a|+|b|

|3|+|-3|

3 + 3 = 6

And this would be true no matter which is the negative, as long as there is one negative and one positive.

3 0

3 years ago

Negative x + 6y = 16 and 8x - 6y = -2 which statements about the system of equations are true check all that are apply the x var

MakcuM [25]

Answer:

y variable will be elimited when adding the system of equations

x = 2 or y = 3

Step-by-step explanation:

- x + 6y = 16

8x - 6y = -2

Add both equations

(-x + 8x) + {6y + (-6y)} = 16 + (-2)

7x + 6y - 6y = 16 - 2

7x + 0 = 14

7x = 14

x = 14/7

x = 2

- x + 6y = 16

- 2 + 6y = 16

6y = 16 + 2

6y = 18

y = 18/6

y = 3

the x variable will be eliminating when adding the system of equations and the

y variable will be elimited when adding the system of equations

or the sum of the system equations is negative 8X = 14 or

x = 2 or y = 3

or there's only one solution to the system equations

4 0

2 years ago

The last one need the right answer please

Llana [10]

Answer:

Part 1) The unit rate is $16\frac{dollars}{ounce}$

Part 2) The unit rate is $\frac{1}{4}\frac{dollars}{ounce}$

Part 3) The unit rate is $\frac{1}{4}\frac{dollars}{ounce}$

Part 4) The unit rate is $4\frac{dollars}{ounce}$

see the attached figure

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{d2-d1}{n2-n1}$

where

d ----> number of dollars (dependent variable or output value)

n ---> number of ounces (independent variable or input value)

Remember that the slope of the linear equation is the same that the unit rate

Verify each case

1) we have

$d=16n$

This is a proportional relationship between the variables d and n

The slope is

$m=16\frac{dollars}{ounce}$

therefore

The unit rate is $16\frac{dollars}{ounce}$

2) we have

First table

take two points from the table

(4,1) and (16,4)

substitute in the formula of slope

$m=\frac{d2-d1}{n2-n1}$

$m=\frac{4-1}{16-4}$

$m=\frac{3}{12}\frac{dollars}{ounce}$

simplify

$m=\frac{1}{4}\frac{dollars}{ounce}$

therefore

The unit rate is $\frac{1}{4}\frac{dollars}{ounce}$

3) we have

$n=4d$

This is a proportional relationship between the variables d and n

isolate the variable d

$d=\frac{1}{4}n$

The slope is

$m=\frac{1}{4}\frac{dollars}{ounce}$

therefore

The unit rate is $\frac{1}{4}\frac{dollars}{ounce}$

4) we have

Second table

take two points from the table

(1,4) and (2,8)

substitute in the formula of slope

$m=\frac{d2-d1}{n2-n1}$

$m=\frac{8-4}{2-1}$

$m=4\frac{dollars}{ounce}$

therefore

The unit rate is $4\frac{dollars}{ounce}$

5 0

3 years ago

What number is greater than 5.3 but less than 5.4

ArbitrLikvidat [17]

5.35 i’m not sure but hope this helps

5 0

2 years ago

Please help me with this for brainliest.....

saveliy_v [14]

Answer:

a=542

Step-by-step explanation:

you welcome have a good day

7 0

2 years ago

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