Inverse functions are one-to-one and reflect over the line y = x
C. It does not go through the origin
So, As Helen divides these pencils, she will divided among, herself, and also her other friends.
This would then signify that the expression would look like the following:
We really do not know how many pencils Helen had, so this is why <em>p </em>is in the equation.
Let O be the center of a circle. If <span>the measure of arc RS is 84 degrees, then m∠SOR=84^{0}. The triangle SOR is isoscales (because SO=OR as radii), so m∠RSO=m∠ORS=(180^{0}-84^{0}):2=48^{0}.
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Line RU is tangent to the circle in point R, this means that m∠ORU=90^{0}.
Consider the triangle SRU. m∠RSU=30^{0} and m∠SRU=48^{0}+90^{0}=138^{0}, then m∠RUS=180^{0}-30^{0}-138^{0}=12^{0}.
ANSWER: Correct choice B - 12^{0}.
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Answer:
420
Step-by-step explanation:
We can find the prime factors of each of the numbers first before finding their LCM.
12: <em>2</em> × 2 × <u>3</u>
30: <em>2</em> × <u>3</u> × 5
42: <em>2</em> × <u>3</u> × 7
To find the LCM, we need to see if they are any common prime factors between all three numbers. The common prime factors are <em>2</em> and <u>3</u>. Then, we multiply 2 and 3 with the remaining outstanding factors, which are 2, 5, and 7.
LCM: <em>2</em> × 2 × <u>3</u> × 5 × 7 = 420
Answer:
A) L = W + 6
B) L * W = 167 OR L = 167 / W
Substituting B) into A)
167 / W = W + 6
Multiplying both sides by "W" we get
167 = W^2 + 6W
W^2 + 6W -167
Solving by the quadratic formula
Width = 10.266
Length = 16.266
Step-by-step explanation:
