Find the length of AB

​

69

Step-by-step explanation:

Step-by-step explanation:

B

=

√

68

≈

8.25

to 2 dec. places

Explanation:

calculate the length using the  

distance formula

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

∣

∣

∣

2

2

d

=

√

(

x

2

−

x

1

)

2

+

(

y

2

−

y

1

)

2

2

2

∣

∣

∣

−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−  

let  

(

x

1

,

y

1

)

=

(

5

,

−

2

)

and  

(

x

2

,

y

2

)

=

(

−

3

,

−

4

)

A

B

=

√

(

−

3

−

5

)

2

+

(

−

4

−

(

−

2

)

)

2

A

B

=

√

64

+

4

=

√

68

≈

8.25

(

2 dec. places

)

-50/3

step-by-step explanation:

step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8.   4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!