What is the midpoint between the points (1, 3) and (5, 7)?

1 answer:

4 0

The formula of the midpoint between $A(x_A;\ y_A)$ and $B(x_B;\ y_B)$

$M_{AB}\left(\dfrac{x_A+x_B}{2};\ \dfrac{y_A+y_B}{2}\right)$

We have $A(1;\ 3);\ B(5;\ 7)$

Therefore

$M_{AB}\left(\dfrac{1+5}{2};\ \dfrac{3+7}{2}\right)\to M_{AB}\left(\dfrac{6}{2};\ \dfrac{10}{2}\right)\to M_{AB}(3;\ 5)$

Answer: C. (3; 5)

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What is the volume of a sphere with a radius of 7mm

elena-14-01-66 [18.8K]

1) The answer, in terms of "π", is:
_________________________________
"  ( $\frac{1372 mm^3}{3}$ ) * π mm³ " .
___________________________________________________
2) The answer, using "3.14" for "π", is:
___________________________________________________
" 1436.0266666666666667 mm³ " ; round to: " 1436.027 mm³ " ;

or; write as: " 1436 $\frac{2}{75}$ mm³ " .
___________________________________________________
Explanation:
____________________________________________
The formula for the volume, "V" of a sphere is:

V = $\frac{4}{3}$ * π* r³ ;

in which "r" = radius = "7 mm" {given}.

We can solve using "3.14" for "π" ; or we can solve in terms of "π" ;
_________________________________________
1) In terms of "π" :
_________________________________________
V = $\frac{4}{3}$ * π * r³ ;

= $\frac{4}{3}$ * π * (7 mm)³ ;

= $\frac{4}{3}$ * π * (7 * 7 * 7 * mm³) ;

= $\frac{4}{3}$ * π * (49 * 7 * mm³) ;

= $\frac{4}{3}$ * π * (343 mm³) ;

= $\frac{4* 343 mm^3}{3}$ ) * π mm³

= ( $\frac{1372 mm^3}{3}$ ) * π mm³ ;

________________________________________________________
2) Using "3.14" for "π" :
________________________________________________________
    V = $\frac{4}{3}$ * π * r³ ;

= $\frac{4}{3}$ * (3.14)* (7 mm)³ ;

    = $\frac{4}{3}$ * (3.14) * (7 * 7 * 7 * mm³) ;

= $\frac{4}{3}$ * (3.14) * (49 * 7 * mm³) ;

= $\frac{4}{3}$ * (3.14) * (49 * 7 * mm³) ;

= $\frac{4}{3}$ * (3.14) * (343 mm³) ;

= { $\frac{4}{3}$ } * (3.14 * 343 mm³) ;

= { $\frac{4}{3}$ } * (1077.02 mm³) ;

= (4 * 1077.02 mm³) / 3 ;

= (4308.08 mm³) / 3 ;
__________________________________________________________
= 1436.0266666666666667 mm³ ; round to: " 1436.027 mm³ " ;

or; write as: " 1436 $\frac{2}{75}$ mm³ " .
__________________________________________________________

6 0

4 years ago

What is the value of f(x) = 5x + 1 at f(-4) ? A) -19 1 C) 21 D) -21

Radda [10]

Answer:

A) -19

Step-by-step explanation:

what its saying is to plug in -4 as x

5 x -4 + 1

-20 + 1 = -19

8 0

3 years ago