Diego’s deductible is $500. If he breaks his arm and needs it set, it costs $5000. What percentage of this cost does his company
1 answer:
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Answer: The equation, in "slope-intercept form" ; is:
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→ " y = x + 4 " .
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Step-by-step explanation:
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Use the formula for linear equations; written in "point-slope format" ;
which is:
y − y₁ = m( x − x₁ ) ;
We are given the slope, "m" ; has a value of: "1 " ;
that is; " m = 2 " .
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We are given the coordinates to 1 (one) point on the line; in which the coordinates are in the form of :
" ( x₁ , y₁ ) " ;
→ that given point is: "(10, 6)" ;
in which: x₁ = 10 ;
y₁ = 6 .
→ Given: The slope, "m" equals "1" ; ________________________________________________
Let's plug our known values into the formula:
→ " y − y₁ = m( x − x₁ ) " ;
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→ As follows:
→ " y − 10 = 1(x − 6) ;
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Now, focus on the "right-hand side of the equation" ;
→ 1(x − 6) = ? ; Simplify.
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Note the "distributive property" of multiplication:
→ a(b + c) = ab + ac ;
As such: " 1(x − 6) = (1*x) + (1 * -6) " ;
= 1x + (-6) ;
= x − 6 ;
[Note that: " 1 x = 1 * x = x " ;
[Note that " + (-6) " = " ( " − 6 " ) .] ;
→ {since: "Adding a negative" is the same as:
"subtracting a positive."} ;
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Now, let us bring down the "left-hand side of the equation" ; &
rewrite the entire equation; as follows:
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→ " y − 10 = x − 6 " ;
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Note: We want to rewrite the equation in "slope-intercept form" ;
that is; " y = mx + b " ;
in which: "y" ; stands alone as a single variable on the "left-hand side" of the equation; with "no coefficients" [except for the "implied coefficient" of " 1 "} ;
"m" is the coefficient of "x" ;
and the "slope of the line" ;
Note that "m" may be a "fraction or decimal" ; and may be "positive or negative.
If the slope is "1" ; (that is "1 over 1" ; or: "" ;
then, " m = 1 " ; and we can write " 1x " as simply "x" ; since the implied coefficient is "1" ;
→ since " 1" , multiplied by any value {in our case, any value for "x"} , equals that same value.
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"b" refers to the "y-intercept" of the graph of the equation;
that is; the "y-value" of the point at which the graphed line of the equation crosses the "y-axis" ;
that is, the "y-value" of the coordinates of the point at which the graphed line of the equation crosses the "y-axis" ;
that is, the ["y-value" of the] y-intercept" .
Note that the value of "b" may be positive or negative, and may be a decimal or fraction.
If the value for "b" is negative, the equation can be written in the form:
" y = mx - b " ;
{since: " y = mx + (-b) " is a bit tedious .}
If the y-intercept is "0" ; (i.e. the line crosses the y-axis at the origin, at point: " (0,0) " ;
then we simply write the equation as: "y = mx " ;
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So; we have: → " y − 10 = x − 6 " ;
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→ We want to rewrite our equation in slope-intercept form,
that is; " y = mx + b " ; as explained above.
We can add "10" to each side of the equation ; to isolation the "y" on the "left-hand side" of the equation:
→ " y − 10 + 10 = x − 6 + 10 " ;
to get:
→ " y = x + 4 " ;
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→ which is our answer.
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Note: This answer: " y = x + 4 " ;
→ is written in the "slope-intercept format";
→ " y = mx + b " ;
in which: "y" is isolated as a single variable on the "left-hand side of the equation" ;
The slope of the equation is "1" ; or an implied value of "1" ;
that is; " m = 1 " ;
"b = 4 " ;
→ {that is; the "y-value" of the "y-intercept" — "(0, 4)" — of the graph of the equation is: "4 ".} .
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Hope this answer is helpful!
Best wishes to you in your academic pursuits
— and within the "Brainly" community!
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Answer:
centimeters
Step-by-step explanation:
We know that the distance from the high diving board to the surface of the pool is the total distance from the top of the high diving board to the bottom of the pool, minus the depth of the pool. So, the answer is centimeters deep. But, we need to round it, so we get that the real answer is
centimeters.