<span><span> x =(11-√137)/2=-0.352</span><span> x =(11+√137)/2=11.352</span></span>
Answer:
y = -3x - 9
Step-by-step explanation:
Point-slope equation for line of slope -3 that passes through (-2,-3):
y+3 = -3(x+2)
Rearrange equation to slope-intercept form
y+3 = -3x - 6
y = -3x - 9
10. from the question; the circle theorem obeyed is "angled formed by semi-circle"
The angle formed in a semicircle is 90 degrees, hence
![m\angle XYZ=90^{\circ}](https://tex.z-dn.net/?f=m%5Cangle%20XYZ%3D90%5E%7B%5Ccirc%7D)
This gives
![m\angle YXZ\text{ + m}\angle YZX\text{ = 90}](https://tex.z-dn.net/?f=m%5Cangle%20YXZ%5Ctext%7B%20%2B%20m%7D%5Cangle%20YZX%5Ctext%7B%20%3D%2090%7D)
But
![\begin{gathered} m\angle YXZ\text{ = 2x + 8} \\ m\angle YZX\text{ = 5X - 2} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20m%5Cangle%20YXZ%5Ctext%7B%20%3D%202x%20%2B%208%7D%20%5C%5C%20m%5Cangle%20YZX%5Ctext%7B%20%3D%205X%20-%202%7D%20%5Cend%7Bgathered%7D)
Substituting values we get
![\begin{gathered} 2x\text{ + 8 + 5x - 2 = 90} \\ 2x\text{ + 5x + 8 - 2 = 90} \\ 7x\text{ + 6 = 90} \\ 7x\text{ = 90 -6} \\ 7x\text{ = 84} \\ \text{divide both sides by 7} \\ x\text{ = }\frac{84}{7} \\ x\text{ = 12} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%202x%5Ctext%7B%20%2B%208%20%2B%205x%20-%202%20%3D%2090%7D%20%5C%5C%202x%5Ctext%7B%20%2B%205x%20%2B%208%20-%202%20%3D%2090%7D%20%5C%5C%207x%5Ctext%7B%20%2B%206%20%3D%2090%7D%20%5C%5C%207x%5Ctext%7B%20%3D%2090%20-6%7D%20%5C%5C%207x%5Ctext%7B%20%3D%2084%7D%20%5C%5C%20%5Ctext%7Bdivide%20both%20sides%20by%207%7D%20%5C%5C%20x%5Ctext%7B%20%3D%20%7D%5Cfrac%7B84%7D%7B7%7D%20%5C%5C%20x%5Ctext%7B%20%3D%2012%7D%20%5Cend%7Bgathered%7D)
hence, x =12
Answer:
6/5
Step-by-step explanation:
tp find multiplicative inverse for a nimber you turn it upside-down
Answer:
- The rate of change of function 1 = 0
- The rate of change of the function 2 = 3
Therefore, the rate of change of function 2 is 3 more than the rate of change of function 1.
Hence, option C is true.
Step-by-step explanation:
Function 1
A horizontal straight line is drawn joining the ordered pairs (0, 3) and (4, 3).
Given the points
It means
at x = 0, y = 3
at x = 4, y = 3
Since the y-values are same, it means the points lie on a horizontal.
The rate of change or slope of a horizontal line is zero because it does not rise vertically ( i.e. y₁ - y₂ = 0).
Therefore, the rate of change of function 1 = 0
Function 2
y = 3x+1
comparing with the slope-intercept form
y = mx+b
here m is the rate of change or slope and b is the y-intercept
so the rate of change of the function 2 = m = 3
Conclusion:
- The rate of change of function 1 = 0
- The rate of change of the function 2 = 3
Therefore, the rate of change of function 2 is 3 more than the rate of change of function 1.
Hence, option C is true.