Answer: Because Point A is negative and the same distance below 0 on the number line as Point B is above it, Point B is both positive and the opposite of Point A.
Answer:
b
Step-by-step explanation:
Answer:
EF is 1.98
Explanation:
For right triangles, you solve for sides and angles using the trig. ratios. You remember then with the acronym SohCahToa.
It is read as:
<u>S</u>ine is <u>o</u>pposite over <u>h</u>ypotenuse.
<u>C</u>osine is <u>a</u>djacent over <u>h</u>ypotenuse.
<u>T</u>angent is <u>o</u>pposite over <u>a</u>djacent.
Which side is opposite or adjacent depends on which angle is the angle of reference, the angle you are talking about. The adjacent side touches the angle of reference.
In this problem, angle D can be the angle of reference.
Since we know DF the hypotenuse, and we are looking for EF, the opposite side, we should use the Sine ratio.
sin D = sin 26° ≈ 0.44
sin D = EF/DF = EF/4.5
Substitute sinD for 0.44 and then isolate EF.
0.44 = EF/4.5
0.44(4.5) = EF Multiply both sides by 4.5
EF = 1.98
The measurement of EF is 1.98.
The quotient is x^3 + 4x^2 -x + 1.
Solution:
By polynomial grid division, we start by the divisor 3x + 10 placed on the column headings.
3x 10
x^3 3x^4
We know that 3x^4 must be in the top left which means that the first row entry must be x^3. So the row and column multiply to 3x^4. We use this to fill in all of the first row, multiplying x^3 by the terms of the column entries.
3x 10
x^3 3x^4 10x^3
4x^2
We now got 10x^3 though we want 22x^3. The next cubic entry must then be 12x^3 so that the overall sum is 22x^3.
3x 10
x^3 3x^4 10x^3
4x^2 12x^3
Now we have 40x^2, so the next quadratic entry must be -3x^2 so that the overall sum is 37x^2.
3x 10
x^3 3x^4 10x^3
4x^2 12x^3 40x^2
-x -3x^2 -10x
This time we have -10x, so the next linear entry must be 3x so that the overall sum is 7x.
3x 10
x^3 3x^4 10x^3
4x^2 12x^3 40x^2
-x -3x^2 -10x
1 3x 10
The bottom and final term is 10, which is our desired answer. Therefore, we can now read the quotient off the first column:
3x^4+22x^3+37x^2-7x+10 / 3x + 10 = x^3 + 4x^2 -x + 1