To find the slope (m) of the equation, you use the slope formula:
Now you plug in the points into the formula
Now you need to find b, to do so you plug in either of the points into the equation.
0 = b
The equation of the line is:
Answer:
d = 6√3 inches ≈ 10.40 inches
Step-by-step explanation:
d² = a² + c²
= 36 + 72
= 108
d = √108
= √3×36
= √3×6²
= 6√3 inches
= 6×1.73 inches
= 10.38 inches
≈ 10.40 inches
All you have to do is to double to amount needed for each part to meet the same ratio as the red. so, you will need 6 cream and 2 blue.
We develop two equations based on the given diagram. We let x be the length from C to the point meeting the endpoint of 5. We let y be the length of CD.
First, we determine the length from D to the endpoint of line measuring 9 cm. We use the Pythagorean theorem.
l = sqrt ((3)² + 5²)
l = 5.83
Then, the equations that can be developed or established are:
x² + 6² = y²
9² + (5 + x)² = (y + 5.83)²
In solving for x and y, we use substitution.
From the first equation,
y = sqrt (x² + 36)
We substitute this to the second equation y.
The value of x is 9.51.
y = sqrt (9.51² + 36) = 11.25.
Calculate for the area of the bigger triangle.
A = 0.5(9 cm)(5 + 9.51 cm) = 65.295 cm²
Also calculate for the area of the smaller triangle,
A = (0.5)(6 cm)(9.51 cm) = 28.53 cm²
The difference between the areas is 36.765 cm².
<em>ANSWER: 36.77 cm²</em>
Answer:
Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.
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Step-by-step explanation: