Answer:
81
Step-by-step explanation:
let the terms be a,ar,ar²
r=2/3
a+a(2/3)+a(2/3)²=171
multiply by 9
9a+6a+4a=171×9
19 a=171×9
a=(171×9)/(19)
a=9×9=81
2x was subtracted from both sides.
A. Subtraction Property of Equality
Answer:
<em><u>Lines are perpendicular to each other .</u></em>
Step-by-step explanation:
Standard equation of line is : y = mx + c, Where m represents the slope
Given Equations :


Two lines are parallel if the slope of the lines are same.
Two line are perpendicular if the product of the slope = - 1
Clearly slopes are not equal , therefore the lines are not parallel.
product of the slope is - 1, therefore the lines are perpendicular.

Answer:
The answer is
±
in exact form or
,
in decimal form.
Step-by-step explanation:
To solve this problem, start by moving all terms to the left side of the equation and simplify. Simplify the equation by subtracting 12 from both sides of the equation and squaring
, which will look like
. Next, simplify the equation again, which will look like
.
Then, use the quadratic formula to find the solutions. The quadratic formula looks like
.
For this problem, the quadratic variables are as follows:



The next step is to substitute the values
,
, and
into the quadratic formula and solve. The quadratic formula will look like
. To simplify the equation, start by simplifying the numerator, which will look like
. Then, multiply 2 by 1 and simplify the equation, which will look like
. The final answer is
±
in exact form. In decimal form, the final answer is
,
.
Y=3x^2. -12x+6
If x= 0 then y= 3•0^2 -12•0+6=6
X=0, y=6
y intercept is the place where the curve touches the y-axis and is at point (0, 6)