Answer:
2.2.6
Step-by-step explanation:
Answer: ![43\°](https://tex.z-dn.net/?f=43%5C%C2%B0)
Step-by-step explanation:
Observe the given figure.
You can identify that the measure of the angle "B" is:
![m\angle B=90\°](https://tex.z-dn.net/?f=m%5Cangle%20B%3D90%5C%C2%B0)
Knowing this, you can conclude that the angle "p" and the angle "m" are Complementary angles, which means that the sum of their measures is 90 degrees. Then, you can write the following equation:
[Equation 1]
You know that:
![m\angle p=47\°](https://tex.z-dn.net/?f=m%5Cangle%20p%3D47%5C%C2%B0)
Then you can substitute it into the [Equation 1] and then solve for
. Therefore, you get:
![47\°+m\angle m=90\°\\\\m\angle m=90\°-47\°\\\\m\angle m=43\°](https://tex.z-dn.net/?f=47%5C%C2%B0%2Bm%5Cangle%20m%3D90%5C%C2%B0%5C%5C%5C%5Cm%5Cangle%20m%3D90%5C%C2%B0-47%5C%C2%B0%5C%5C%5C%5Cm%5Cangle%20m%3D43%5C%C2%B0)
Answer:
4.
f(x) = (x + 2)(x + 1)(x - 3) = x^3 - 7·x - 6
a = 0 ; b = -7 ; c = -6
5.
a = -3 ∧ b = -2 ∧ c = -3
is the equation best represents the line.
Solution:
Take any two points on the line.
Let the points be (0, –4) and (4, 7).
![x_1=0,y_1=-4,x_2=4, y_2=7](https://tex.z-dn.net/?f=x_1%3D0%2Cy_1%3D-4%2Cx_2%3D4%2C%20y_2%3D7)
General form of equation of a line is y = mx + c
where m is the slope and c is the y-intercept of the line.
<em>y-intercept is the point which line crosses at y-axis.</em>
In the given line, y-intercept is 4.
c = 4
Slope of the line:
![$m=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=%24m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
![$m=\frac{7-(-4)}{4-0}](https://tex.z-dn.net/?f=%24m%3D%5Cfrac%7B7-%28-4%29%7D%7B4-0%7D)
![$m=\frac{11}{4}](https://tex.z-dn.net/?f=%24m%3D%5Cfrac%7B11%7D%7B4%7D)
Equation of the line:
y = mx + c
![y=\frac{11}{4}x +4](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B11%7D%7B4%7Dx%20%2B4)
Hence
is the equation best represents the line.
Answer:
17.1
Step-by-step explanation:
If you have 15.50 and you divide 0.75 you get 20.6 and if you subtract 3.50 you get 17.1 which is your answer. Boom