Here are the steps.
In order to get the answer, first we need to get the x and y value of the center of the circle by using the equation of a circle (x^2 + y^2 = r^2)
<span>The center is (-9, -4)</span>
Once you get the center point, find the equation of the line (in a form of a radius) from the center point to point (2, -1). Get the slope.
The slope from center to point (2, -1) is 11/3
Finally, get the negative reciprocal of the slope from the previous step and form the equation using slope-intercept form ( y=mx + b). Then, that's the equation of the tangent line.
The slope of the tangent line is -3/11
The equation is y = -3/11x - 5/11
You will at 7 to both sides and then divide 2 on both sides to find x. :)
2x-7=3
+7=+7
—————
2x = 10
— —-
2 2
X = 5
Answer:
The answer is the third equation. A = 250*(1 +0.016)^(0.75)
Step-by-step explanation:
Since Javier deposited $250 into an account with annual interest rate, then as the years passes his account will grow in the manner shown below:
account(0) = 250
account(1) = account(0)*(1 + 1.6/100) = account(0)*(1 + 0.016) = account(0)*1.016
account(2) = account(1)*1.016 = account(0)*1.016*1.016 = account(0)*(1.016)²
account(3) = account(2)*1.016 = account(0)*(1.016)²*1.016 = account(0)*(1.016)³
account(n) = account(0)*(1.016)^n
Where n is the number of years, account(0) is the initial amount. In this case only 9 months have passed, so we need to convert this value to years, dividing it by 12, which is 9/12 = 0.75. The initial amount was 250, so the equation is:
A = 250*(1.016)^(0.75)
The answer is the third equation.
If something costs $28<span> and is on sale for </span>18<span>% off, then how much would it cost?
</span>
5.04 U.S. dollars
You can find the circumference of the circle with the circumference equals 2pir.
circumference=2pi9
circumference=18pi
circumference=56.55 feet
you can then turn the feet into inches by multiplying by 12
(56.55 feet)x(12inches/foot)=678.58 inches
then divide 678.58 inches by 54 inches to find how many light strands are needed.
(678.58 inches)/(54 inches/strand)=12.57 strands
