84 inch squared
There’s 12 inches in a foot, so the number will be 12 times larger.
x^2 + y^2 - 2x + 8y - 47 = 0
x^2 + y^2 - 2x + 8y = 47
(x^2 - 2x) + (y^2 + 8y) = 47
(x^2 - 2(1)x) + (y^2 + 2(4)y) = 47
(x^2 - 2(1)x + 1^2) + (y^2 + 2(4)y + 4^2) = 47 + 1^2 + 4^2
(x - 1)^2 + (y + 4)^2 = 64 = 8^2
r=8
To determine the percent volunteers that worked in the intervals mentioned, you will need to create a ratio of the number of volunteers who worked in those 2 bars to the total number of volunteers in all the bars. The number in those 2 intervals are 4+5=9, The total number of volunteer represented in the histogram is 20. This creates a fraction 9/20. TO convert this to a percent, you can create an equivalent fraction with a denominator of 100 by multiplying by 5. This means the 9 is also multiplied by 5 to make 45/100. This is equivalent to 45%. You can also divide 9 and 20 to get 0.45 (45%).
Answer:
D. 2x2x3x3
Step-by-step explanation:
2x2 is equal to 4
4x3 is equal to 12
12x3 is equal to 36
In order to t² - t -2 = 0 become into this (t - 2)(t + 1) = 0, we have to know that a polynomial of the form ax² + bx + c = 0 can be factored as a(x + r1)(x + r2) = 0, where r1 and r2 are the roots of the equation ax² + bx + c = 0 and we can find them using the Quadratic Formula.
Let's solve the equation step-by-step.
t² - t -2 = 0 has the form at² + bt + c = 0, so can be factored as a(t + r1)(t + r2) = 0. With a = 1, b = -1, and c = -2
Step 1. Use the Quadratic Formula to find the roots r1 and r2.
t = −b ± √b²−4ac/2a
t = -(-1) ± √(-1)²−4(1)(-2)/2(1)
t = 1 ± √1+8/2
t = 1 ± √9/2 where r1 = 1 + √9/2 and r2 = 1 - √9/2
Step 2. Calculate the roots r1 and r2
r1 = 1 + √9/2 = 2
r2 = 1 - √9/2 = -1
Step 3. Write the factored equation a(t + r1)(t + r2) = 0, with a = 1 and the values of r1 and r2 with opposite signs.
1(t - 2)(t + 1) = 0
(t - 2)(t + 1) = 0