(30 points, will mark as brainliest) I need help with my algebra 1 homework, its open book so don't worry I can ask on here.
1 answer:
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Answer: " x = 1 + √5 " or " x = 1 − √5" .
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Given:
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" x² − 2x − <span>4 = 0 " ;
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Solve for "x" by using the "quadratic formula" :
</span>Note: This equation is already written in "quadratic format" ; that is:
" ax² + bx + c = 0 " ; { "a
0" } ;
in which: "a = 1" {the implied coefficient of "1" ;
since "1", multiplied by any value, equals that same value};
"b = -2 " ;
"c = -4 " ;
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The quadratic equation formula:
x = { - b ± √(b² − 4 ac) } / 2a ; {"a0"} ;
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Substitute our known values:
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→ x = { - (-2) ± √[(-2)² − 4(1)(-4)] } / 2(1) ;
→ x = { 2 ± √(4 − 4(-4) } / 2 ;
→ x = { 2 ± √(4 − (-16) } / 2 ;
→ x = { 2 ± √(4 + 16) } / 2 ;
→ x = { 2 ± √(20) } / 2 ;
→ x = { 2 ± √4 √5} / 2 ;
→ x = { 2 ± 2√5} / 2 ;
→ x = 1 ± √5 ;
_______________________________________________________
→ "x = 1 + √5" or "x = 1 − √5" .
_______________________________________________________
______________________________________________________
Given:
______________________________________________________
" x² − 2x − <span>4 = 0 " ;
______________________________________________
Solve for "x" by using the "quadratic formula" :
</span>Note: This equation is already written in "quadratic format" ; that is:
" ax² + bx + c = 0 " ; { "a
in which: "a = 1" {the implied coefficient of "1" ;
since "1", multiplied by any value, equals that same value};
"b = -2 " ;
"c = -4 " ;
_______________________________________________________
The quadratic equation formula:
x = { - b ± √(b² − 4 ac) } / 2a ; {"a
______________________________________________________
Substitute our known values:
______________________________________________________
→ x = { - (-2) ± √[(-2)² − 4(1)(-4)] } / 2(1) ;
→ x = { 2 ± √(4 − 4(-4) } / 2 ;
→ x = { 2 ± √(4 − (-16) } / 2 ;
→ x = { 2 ± √(4 + 16) } / 2 ;
→ x = { 2 ± √(20) } / 2 ;
→ x = { 2 ± √4 √5} / 2 ;
→ x = { 2 ± 2√5} / 2 ;
→ x = 1 ± √5 ;
_______________________________________________________
→ "x = 1 + √5" or "x = 1 − √5" .
_______________________________________________________
Answer:
speed
Step-by-step explanation:
In a distance-time graph:
Distance is the y-variable (dependent)
Time is the x-variable (independent)
The slope of a line is rise/run, or can also be calculated with this equation, where "m" is slope:
slope = y-variables / x-variables
slope = distance / time
If you divide distance by the time it took to get that far, you will find how fast you got there. This is called the speed.
You might also see this formula:
k = d/t
In the options, "time" and "distance" would not make sense, because those are the variables on the x-axis and y-axis.