Answer:
d) 3x + y = 5
Step-by-step explanation:
The standard equation of a line with slope and a point is given by:
y = mx + b
We know that
m=-3
Putting the value of slope
y = -3x+b
To find the value of b, we will put the point in the equation
-1 = (-3)(2)+b
-1 = -6 + b
-1+6 = b
b = 5
Putting the values of b and m in standard equation
y = -3x+5
Can also be written as:
3x+y = 5
Hence,
Option d: 3x + y = 5 is the correct answer ..
Answer:
1/12
Step-by-step explanation:
3/4-2/3
multiply 4 and 3 and the cross multiply
9/12- 8/12
The answer is: " x = 0, 1 " .
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Explanation:
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Given:
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" √(x + 1) <span>− 1 = x " ; Solve for "x" ;
First, let us assume that "x </span>≥ -1 "
<span>
Add "1" to EACH SIDE of the equation:
</span>→ √(x + 1) − 1 + 1 = x + 1 ;
to get:
→ √(x + 1) = x + 1 .
Now, "square" EACH side of the equation:
→ [√(x + 1) ]² = (x + 1 )² ;
to get:
x + 1 = (x + 1)²
↔ (x + 1)² = (x + 1) .
Expand the "left-hand side" of the equation:
→ (x + 1)² = (x + 1)(x +1) ;
Note: (a+b)(c+d) = ac +ad + bc + bd ;
As such: (x + 1)(x + 1) = (x*x) + (x*1) +(1(x) + (1*1) ;
= x² + 1x + 1x + 1 ;
= x² + 2x + 1 ;
Now, substitute this "expanded" value, and bring down the "right-hand side" of the equation; and rewrite the equation:
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" (x + 1)² = (x + 1)(x +1) " ;
→ Rewrite as: " x² + 2x + 1 = x + 1 " ;
Subtract "x" ; and subtract "1" ; from EACH SIDE of the equation:
→ x² + 2x + 1 - x - 1 = x + 1 - x - 1 ;
to get: → x² <span>− x = 0
Factor out an "x" on the "left-hand side" of the equation:
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</span>x² − x = x(x − 1) ;
→ x (x − 1) = 0 ;
We have: "x" and "(x − 1)" ; when either of these two multiplicands are equal to zero, then the "right-hand side of the equation equals "zero" .
So, one value of "x" is "0" .
The other value for "x" ;
→ x − 1 = 0 ;
Add "1" to each side of the equation:
→ x − 1 + 1 = 0 + 1 ;
→ x = 1 ;
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So, the answers:
" x = 0, 1 " .
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The answer is 38,400
The scale is 1:40 so the side that is 4 in becomes 160 and the side that is 6 in becomes 240
Multiply 160 and 240 and that is the area of the room
Hope this helps
First step (7x2 - 16x) - 8 = 0
Second step Factoring 7x2-16x-8
The first term is, 7x2 its coefficient is 7 .
The middle term is, -16x its coefficient is -16 .
The last term, "the constant", is -8
Step-1 : Multiply the coefficient of the first term by the constant 7 • -8 = -56
Step-2 : Find two factors of -56 whose sum equals the coefficient of the middle term, which is -16 .
All of that said it’ll be 2.708
How I got 2.708 is x =(16+√480)/14=(8+2√ 30 )/7= 2.708
And 0.422 is x =(16-√480)/14=(8-2√ 30 )/7= -0.422
