From the two right triangles, you can write the following equations using the Pythagorean theorem. Let's call that shared leg in the middle "y"
y^2 + b^2 = a^2
y^2 + c^2 = x^2
y^2 + b^2 = a^2
re-write this to get "y" alone for substitution.
y^2 = a^2 - b^2
substitute (a^2 - b^2) for y^2 in the other equation. y^2 + c^2 = x^2
a^2 - b^2 + c^2 = x^2
Now put in the values given for a,b,c to solve for x
(7.1)^2 - (5.6)^2 + (5.7)^2 = x^2
51.54 = x^2
square root
7.2 = x
Answer:
For me
Step-by-step explanation:
I think it's A because x is unknown and per minutes meaning 50 times the x plus the 229
The equation of line CD in standard form is: B. 5x - 3y = 30
<h3>How to determine the equation of line CD in standard form?</h3>
Mathematically, the standard form of the equation of a straight line is given by this mathematical expression (linear function);
y = mx + c
Where:
- x and y are the points.
- m represents the slope, gradient, or rate of change.
- c represents the intercept.
Next, we would determine the slope of this line by using this formula:
Slope, m = Δy/Δx
Slope, m = Change in y-axis/Change in x-axis
Slope, m = (0 + 5)/(6 - 3)
Slope, m = 5/3
At point (6, 0), the point-slope equation of the line is given by:
y - y₁ = m(x - x₁)
y - 0 = 5/3(x - 6)
y = 5x/3 - 30/3
y = 5x/3 - 10
Multiplying all through by 3, we have:
3y = 5x - 30
Rearranging the equation, we have:
5x - 3y = 30
Read more on slope here: brainly.com/question/7748981
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Answer:
Option D.
Step-by-step explanation:
The given equation is
It can be written as
To solve this equation, add 32 and 8.
Subtract 10 from 40.
Divide both sides by 30.
The value of g is 5 and wilhem is correct.
Therefore, the correct option is D.
