Step-by-step explanation:
point slope formula: y-y1=m(x-x1)
m= y2-y1/x2-x1
input numbers
so slope:
m=(9--8)/(-7--8)
(-)×(-)=+
(+)×(-)=(-)
so m=17/1
m=17
now point slope
y--8=17(x--8)
y+8=17x+136
to get y alone we have to use opposite operations
y and 8 are adding so we need to subtract on both sides
y+8-8=17x+136-8
y=17x+128
Answer:
Part A:
( 1.8333, -0.08333)
Part B:
x = 2 or x = 5/3
Step-by-step explanation:
The quadratic equation
has been given.
Part A:
We are required to determine the vertex. The vertex is simply the turning point of the quadratic function. We shall differentiate the given quadratic function and set the result to 0 in order to obtain the co-ordinates of its vertex.

Setting the derivative to 0;
6x - 11 = 0
6x = 11
x = 11/6
The corresponding y value is determined by substituting x = 11/6 into the original equation;
y = 3(11/6)^2 - 11(11/6) + 10
y = -0.08333
The vertex is thus located at the point;
( 1.8333, -0.08333)
Find the attached
Part B:
We can use the quadratic formula to solve for x as follows;
The quadratic formula is given as,

From the quadratic equation given;
a = 3, b = -11, c = 10
We substitute these values into the above formula and simplify to determine the value of x;

Answer:
swap the middle two steps to put them in order
Step-by-step explanation:
The steps in order would be ...
- -11 -5z = 30z +24 . . . . . eliminate parentheses
- -11 = 35z +24 . . . . . . . . add 5z
- -35 = 35z . . . . . . . . . . . . subtract 24
- -1 = z . . . . . . . . . . . . . . . . divide by 2
Answer:
1/3 is the simplified form for given expression.
Step-by-step explanation:
Given that:
=![\sqrt[-3]{27}](https://tex.z-dn.net/?f=%5Csqrt%5B-3%5D%7B27%7D)
By simplifying:
Radical sign will be removed as follows:
= 
For removing the "-" sign from power, base will be inverted:
= 
27 can also be written as 3 * 3 * 3 = 3^3
So,
= 
= 
By simplifying we get:
= 1/3
i hope it will help you!