Answer:
C) x > 10
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
Step-by-step explanation:
<u>Step 1: Define</u>
4x - 8 > 32
<u>Step 2: Solve for </u><em><u>x</u></em>
- Add 8 on both sides: 4x > 40
- Divide 4 on both sides: x > 10
Here we see that any value <em>x</em> greater than 10 would work as a solution to the inequality.
Answer:
Step-by-step explanation:
Recall that cos Ф = adj / hyp. If adj = 6 and hyp = 10, then by the Pythagorean Theorem, opp = 8: 6² + 8² = 10²
Then:
sin Ф = opp / hyp = 8/10 or 4/5
cos Ф is given: 6/10 or 3/5
tan Ф = opp / adj: 8/ 6 or 4/3
cot Ф = 1/sin Ф = 10/8 or 5/4
sec Ф = 1/ cosФ = 10/6 or 5/3
csc Ф = 1 / sin Ф = 10/8 or 5/4
Answer:
3
Step-by-step explanation:
We know x = -2, so we can substitute -2 in for x
3x^2- 9
3*-2^2-9
Solve the exponent first (PEMDAS)
3*4-9
Multiply next
12-9
Subtract
3
<span><u><em>The correct answer is:</em></u>
180</span>°<span> rotation.
<u><em>Explanation: </em></u>
<span>Comparing the points D, E and F to D', E' and F', we see that the x- and y-coordinates of each <u>have been negated</u>, but they are still <u>in the same position in the ordered pair. </u>
<u>A 90</u></span></span><u>°</u><span><span><u> rotation counterclockwise</u> will take coordinates (x, y) and map them to (-y, x), negating the y-coordinate and swapping the x- and y-coordinates.
<u> A 90</u></span></span><u>°</u><span><span><u> rotation clockwise</u> will map coordinates (x, y) to (y, -x), negating the x-coordinate and swapping the x- and y-coordinates.
Performing either of these would leave our image with a coordinate that needs negated, as well as needing to swap the coordinates back around.
This means we would have to perform <u>the same rotation again</u>; if we began with 90</span></span>°<span><span> clockwise, we would rotate 90 degrees clockwise again; if we began with 90</span></span>°<span><span> counter-clockwise, we would rotate 90 degrees counterclockwise again. Either way this rotates the figure a total of 180</span></span>°<span><span> and gives us the desired coordinates.</span></span>