Answer:
y-intercept = (0, 2.5)
x-intercept = (2.143, 0)
Step-by-step explanation:
y - intercept:
This is when x = 0 so
-7(0) - 6y = -15
-6y = -15
y = -15/-6
y = 2.5.
x_intercept:
-7x - 6(0) = -15
-7x = -15
x = -15 /-7
= 2.143.
Answer:
87
Step-by-step explanation:
75% is essentially the same as 0.75
0.75 times 116 is 87.
Applying the secant-tangent theorem, the length of diameter, BA is: A. 52.9.
<h3>What is the Secant-Tangent Theorem?</h3>
Considering the image given, the secant-tangent theorem states that:
DC² = (BC)(BA)
Given the following:
Substitute the values into the equation
30² = (17)(BA)
900/17 = BA
BA ≈ 52.9
Length of the diameter, BA is: A. 52.9
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Answer:
Step-by-step explanation:
1/4 and 2/5
4×5=20
Any smooth curve connecting two points is called an arc. The length of the arc m∠QPR is 2.8334π m.
<h3>What is the Length of an Arc?</h3>
Any smooth curve connecting two points is called an arc. The arc length is the measurement of how long an arc is. The length of an arc is given by the formula,
![\rm{ Length\ of\ an\ Arc = 2\times \pi \times(radius)\times\dfrac{\theta}{360} = 2\pi r \times \dfrac{\theta}{2\pi}](https://tex.z-dn.net/?f=%5Crm%7B%20Length%5C%20of%5C%20an%5C%20Arc%20%3D%202%5Ctimes%20%5Cpi%20%5Ctimes%28radius%29%5Ctimes%5Cdfrac%7B%5Ctheta%7D%7B360%7D%20%3D%202%5Cpi%20r%20%5Ctimes%20%5Cdfrac%7B%5Ctheta%7D%7B2%5Cpi%7D)
where
θ is the angle, that which arc creates at the centre of the circle in degree.
Given the radius of the circle is 3m, while the angle made by the arc at the centre of the circle is 170°. Therefore,
The length of an arc = 2πr×(θ/360°) = 2π × 3 ×(170/360°) = 2.8334π m
Hence, the length of the arc m∠QPR is 2.8334π m.
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