Answer:
Point of intersections are (0, -7) and (5, -2).
Step-by-step explanation:
From the graph attached,
A straight line is intersecting the circle at the two points (0, 7) and (5, -2).
Now solve algebraically,
Equation of the line → y = x - 7 -------(1)
Equation of the circle → (x - 5)² + (y + 7)² = 25 -------(2)
By substituting the value of y from equation (1) to equation (2)
(x - 5)² + (x - 7 + 7)² = 25
(x - 5)² + x² = 25
x² - 10x + 25 + x² = 25
2x² - 10x = 0
x² - 5x = 0
x(x - 5) = 0
x = 0, 5
From equation (1),
y = 0 - 7 = -7
y = 5 - 7 = -2
Therefore, point of intersections are (0, -7) and (5, -2).
Answer:
x = ![\sqrt{65}](https://tex.z-dn.net/?f=%5Csqrt%7B65%7D)
Step-by-step explanation:
The altitude of the triangle must equal 4 because it is a right triangle with another leg of 3 and a hypotenuse of 5 (reason is due to the pythagorean theorem)
Therefore, the triangle on the right has legs of 4 and 7 and, again, use the phythagorean theorem to find 'x' (the hypotenuse)
+
= ![x^{2}](https://tex.z-dn.net/?f=x%5E%7B2%7D)
16 + 49 = ![x^{2}](https://tex.z-dn.net/?f=x%5E%7B2%7D)
65 = ![x^{2}](https://tex.z-dn.net/?f=x%5E%7B2%7D)
x = sq rt 65
We have to use the following formula which is
![F = m * a](https://tex.z-dn.net/?f=%20F%20%3D%20m%20%2A%20a%20)
Given values of F and m are 7.92 Newtons and 3.6 kilograms .
Substituting these values in the formula, we will get
![7.92 = 3.6 a](https://tex.z-dn.net/?f=%207.92%20%3D%203.6%20a%20)
To solve for a, we have to divide both sides by 3.6 that is
![a = \frac{7.92}{3.6}=2.2](https://tex.z-dn.net/?f=%20a%20%3D%20%5Cfrac%7B7.92%7D%7B3.6%7D%3D2.2%20)
And that's the required answer .
Answer:
Mean:6
Mad:2.29
Step-by-step explanation:
Answer: 16cm
Step-by-step explanation:
The radius is half of the diameter so you would have to double the radius.