Answer:
(-5,-28)
Step-by-step explanation:
Given
Required
Find the coordinates of the vertex
Given that the function is a quadratic function;
The general form of a quadratic function is
By comparison;
To calculate the coordinates of the vertex;
we start by calculating the x-coordinate;
Substitute 10 for b and 1 for a
Substitute in the given function;
<em>Hence, the coordinates of the vertex is (-5,-28)</em>
Answer:
-7/6
Step-by-step explanation:
2x-8x+7=0
combine like terms
6x+7=0
subtract the 7 from both sides
6x=-7
divide 6 from both sides
-7/6 or -1 and 2/3
Answer:
I will but there are no problems/questions shown
Step-by-step explanation:
Answer:
-60 if you meant all of them its -180
Step-by-step explanation:
Let's solve this problem step-by-step.
First of all, let's establish that supplementary angles are two angles which add up to 180°.
Therefore:
Equation No. 1 -
x + y = 180°
After reading the problem, we can convert it into an equation as displayed as the following:
Equation No. 2 -
3x - 8 + x = 180°
Now let's make (y) the subject in the first equation as it is only possible for (x) to be the subject in the second equation. The working out is displayed below:
Equation No. 1 -
x + y = 180°
y = 180 - x
Then, let's make (x) the subject in the second equation & solve as displayed below:
Equation No. 2 -
3x - 8 + x = 180°
4x = 180 + 8
x = 188 / 4
x = 47°
After that, substitute the value of (x) from the second equation into the first equation to obtain the value of the other angle as displayed below:
y = 180 - x
y = 180 - ( 47 )
y = 133°
We are now able to establish that the value of the two angles are as follows:
x = 47°
y = 133°
In order to determine the measure of the bigger angle, we will need to identify which of the angles is larger.
133 is greater than 47 as displayed below:
133 > 47
Therefore, the measure of the larger angle is 133°.
