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avanturin [10]
2 years ago
11

Find the distance between (-2, 3) & (-7, -7). Round to the nearest tenth.

Mathematics
2 answers:
andre [41]2 years ago
6 0

Answer:

11.2 units

Step-by-step explanation:

From (-7, -7) to (-2, 3) is 5 units horizontally  and  10 units vertically.  Thus we have a right triangle with sides 5 and 10 respectively.  The length of the hypotenuse of this triangle is the distance between (-2, 3) & (-7, -7):

d = √(5² + 10²) = √(25 + 100) = √125 = √25√5, or 5√5.

This is approximately 11.2 units

docker41 [41]2 years ago
6 0

{ \sf{find \: the \: distance \: between \: ( - 2,3)and \: ( - 7, - 7).}} \\ { \sf{round \: to \: the \: nearest \: tenth}}

{ \sf{ \red{distance =  \sqrt{( {x2 - x1})^{2}  + ( {y2 - y1})^{2}  } }}} \\  \\ { \sf{x1 =  - 2}} \\ { \sf{x2 =  - 7}} \\ { \sf{y1 = 3}} \\ { \sf{ y2 =  - 7}}

{ \sf{ \green{ distance =   \sqrt{ {( - 7 - ( - 2)})^{2}  +  {( - 7 - 3)}^{2}}}} }  \\  \\ { :  {\implies{ \green{ \sf{distance =  \sqrt{ {( - 5)}^{2} +  {( - 10)}^{2}  } }}}}} \\  \\ { : { \implies{ \green{ \sf{distance =  \sqrt{25 + 100}}}}}}

{ : { \implies{ \sf{ \green{distance =  \sqrt{125}}}}}}  \\  \\ { : { \implies{ \green{ \sf{distance = 5 \sqrt{5}}}}}}  \\  \\ { : { \implies{ \green{ \sf{distance = 5 \times 2.236}}}}}

{ : { \implies{ \underline{ \green { \sf{distance = 11.18= 11.2}}}}}}

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