Answer:
x = -1
x = 5
Step-by-step explanation:
Use pythagorean theorem: a² + b² = c²
x² + (2x + 2)² = (2x + 3)²
Since these are quantities, you'll have to make them into quadratic equations.
(2x + 2)(2x + 2) = 4x² + 4x + 4x + 4
(2x + 3)(2x + 3) = 4x² + 6x + 6x + 9
x² + 4x² + 4x + 4x + 4 = 4x² + 6x + 6x + 9
Combine like terms
5x² + 8x + 4 = 4x² + 12x + 9
Move one side to set the equation equal to 0
x² - 4x - 5 = 0
Solve
x² - 5x + x - 5 = 0
x(x - 5) + 1(x - 5) = 0
(x + 1)(x - 5) = 0
x = -1, 5
<em>We</em><em> </em><em>can</em><em> </em><em>check</em><em> </em><em>that</em><em> </em><em>these</em><em> </em><em>are</em><em> </em><em>correct</em><em> </em><em>by</em><em> </em><em>plugging</em><em> </em><em>them</em><em> </em><em>in</em><em> </em><em>for</em><em> </em><em>x</em><em> </em><em>and</em><em> </em><em>seeing</em><em> </em><em>if</em><em> </em><em>they</em><em> </em><em>are</em><em> </em><em>equal</em>
<em>For</em><em> </em><em>example</em>
<em>(</em><em>-1</em><em>)</em><em>²</em><em> </em><em>+</em><em> </em><em>(</em><em>2</em><em>(</em><em>-1</em><em>)</em><em> </em><em>+</em><em> </em><em>2</em><em>)</em><em>²</em><em> </em><em>=</em><em> </em><em>(</em><em>2</em><em>(</em><em>-1</em><em>)</em><em> </em><em>+</em><em> </em><em>3</em><em>)</em><em>²</em>
<em>1</em><em> </em><em>=</em><em> </em><em>1</em>
Answer:
8
Step-by-step explanation:
Use ratio of the other parallel side is in the ratio of dog:family=3:4
The. This one is 6:x
This x = 4x6/3 = 8
Always get rid of denominators first. Multiply both right and left side by 6
-7 (6) = -c (6)/6 + 12(6)
-42 = -c + 72
c = 72 +42
c = 114
rearrange like terms together
42 = 18 - 4x
4x = 18 -42
4x = -24
divide both sides by 4
x = -6
Answer:
B. N(c) = (c-20)/n
Step-by-step explanation:
Given
C(n) = 10n+20
we have to find the inverse of this function
we have to express n in terms of C(n)
C(n) = 10n+20
we have make n independent of n and remove any other term containing on the side of n
subtracting 20 from LHS and RHS
C(n) - 20 = 10n+20 - 20
C(n) - 20 = 10n
dividing LHS and RHS by 10
C(n)/10 - 20/10 = 10n/10
=> n = (C(n) - 20)/10
Now given in problem, N(c) is no of bushels picked
and c is the cost of apple
so in function n = C(n) - 20/10
we replace C(n) with c
and n with N(c)
and then we have
N(c) = (c-20)/n Answer
Answer:
The top left graph
Step-by-step explanation:
All the others are wrong
