Please type this as 2(sin 2x)^2=2 <span>2sin^2 2x=2 is confusing.
Reducing this expression: (sin 2x)^2 = 1
Taking the sqrt of both sides, sin 2x = plus or minus 1
If sin 2x = 1, then 2x must be pi/2 or 3pi/2, and so x must be pi/4 or 3pi/4.
Now you do this for sin 2x = -1.</span>
Answer: B
Step-by-step explanation:
If the diagonals of a quadrilateral are perpendicular, then it is a rhombus. False, diagonals don't have to be congruent or bisect each other. The diagonals of a rectangle bisect its angles. A kite with all consecutive angles congruent must be a square.
Answer:
0.0445937
Step-by-step explanation:
-Given that the sample statistic has a mean of 406 grams, standard deviation of sq root(225) and the null statistic is 411 grams.
-Assuming normal distribution, the test statistic is calculated as:
-we then find the p-value of the test statistic from the z-tables:
P-value=0.0445937
x^2 - 75 = -10x
<em><u>Add 10x to both sides.</u></em>
x^2 + 10x - 75
<em><u>Check if splitting the middle term is possible.</u></em>
<em><u>Display factors of -75.</u></em>
1 * -75
-1 * 75
-5 * 15 < (this meets the criteria)
<em><u>Split the middle term.</u></em>
x^2 - 5x + 15x - 75
<em><u>Factor each binomial.</u></em>
x(x - 5) + 15(x - 5)
<em><u>Combine factors.</u></em>
(x + 15)(x - 5) is the completely factored form of the provided quadratic.
