Answer:
-5x from both sides
Step-by-step explanation:
When converting an equation to slope-intercept form, you need to isolate the y. The first step in isolating the y is to remove 5x from both sides of the equation:
5x - y = 7
5x - 5x - y = 7 - 5x
-y = 7 - 5x
Now it's just -1y on one side of the equation.
Answer:
a¹⁸b²⁴c⁵⁴
Step-by-step explanation:
(aᵇ)ᶜ = aᵇᶜ = aᵇ×ᶜ
(-aⁿ)ᵒᵈᵈ = -aⁿ
(-aⁿ)ᵉᵛᵉⁿ = aⁿ
aⁿ × aⁿ = aⁿ⁺ⁿ
_________
In this situation, 6 is an even exponent which means that the negative coefficient of this 9th degree monomial will be positive. Now the only step is to multiply the exponents by the exponent outside of the perenthesis which is 6.
so (-a³b⁴c⁹)⁶ = ((-a³)⁶(b⁴)⁶(c⁹)⁶) = ((a³ˣ⁶)(b⁴ˣ⁶)(c⁹ˣ⁶)) = ((a¹⁸)(b²⁴)(c⁵⁴)) = <em>a¹⁸b²⁴c⁵⁴</em>
Answer:
x = 13
Step-by-step explanation:
<em>sqrt (x-4) + 5 = 2</em>
<em>The equation is √(x+4) + 5 = 2</em>
√(x-4) = 2 - 5
√(x-4) = -3
x-4 = (-3)²
x-4 = 9
x = 9 + 4
x = 13
Therefore, the second option x = 13 is correct.
!!
We know that
X²+y²=9 -------> X²+y²=3²
is the equation of a circle with center (0,0) and radius r=3 units
so
<span>the translation of four units to the right and three units down is equals to move the center (0,0)--------> (0+4,0-3)------> (4.-3)
the new center of the circle is (4,-3)
the new equation is
(x-4)</span>²+(y+3)²=3²
see the attached figure