Answer:
Y=-5/3x-1
y=2/3x-8
If you are adding then it is:
7x=21
x=3
Step-by-step explanation:
5x+3y=-3
3y=-5x-3
y=-5/3-1
2x-3y=24
-3y=-2x+24
y=2/3x-8
Answer:
Step-by-step explanation:
The slope of a line between two points can be calculated by dividing the difference of y values by the difference of x values
in this case
![m = \frac{y_2-y_1}{x_2-x_1} = \frac{15-(-10)}{-15-6} = \frac{25}{-21} = \frac{-25}{21}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%20%3D%20%5Cfrac%7B15-%28-10%29%7D%7B-15-6%7D%20%3D%20%5Cfrac%7B25%7D%7B-21%7D%20%3D%20%5Cfrac%7B-25%7D%7B21%7D)
SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Explain the formula to use
Using the cosine rule which states that:
![z^2=x^2+y^2-2xy\cos Z](https://tex.z-dn.net/?f=z%5E2%3Dx%5E2%2By%5E2-2xy%5Ccos%20Z)
STEP 2: Write the given sides
![x=4,y=6,Z=41^{\circ},z=?](https://tex.z-dn.net/?f=x%3D4%2Cy%3D6%2CZ%3D41%5E%7B%5Ccirc%7D%2Cz%3D%3F)
STEP 3: Find the value of z
![\begin{gathered} By\text{ substitution,} \\ z^2=4^2+6^2-2(4)(6)\cos41 \\ z^2=16+36-48cos41 \\ z^2=52-36.22605985 \\ z^2=15.77394015 \\ z=\sqrt{15.77394015} \\ z=3.971641997 \\ z\approx4.0 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20By%5Ctext%7B%20substitution%2C%7D%20%5C%5C%20z%5E2%3D4%5E2%2B6%5E2-2%284%29%286%29%5Ccos41%20%5C%5C%20z%5E2%3D16%2B36-48cos41%20%5C%5C%20z%5E2%3D52-36.22605985%20%5C%5C%20z%5E2%3D15.77394015%20%5C%5C%20z%3D%5Csqrt%7B15.77394015%7D%20%5C%5C%20z%3D3.971641997%20%5C%5C%20z%5Capprox4.0%20%5Cend%7Bgathered%7D)
Hence, the indicated length is 4.0
Notice the picture below
so.... the angle of depression, is above in dashed lines.... however, the angle of depression, is identical to the angle of elevation from the water, since, both angles are "alternate interior" angles
now, using the 45-45-90 rule, then we know the swimmer is 90 feet from the lighthouse, then just use the tangent ratio to get "x"
Answer:
Step-by-step explanation:The LCM of two or more prime numbers is equal to their product. ... Assume two prime numbers as two different variables and find their LCM using prime factorization of both the numbers.