Answer:
type 2 in the first box,
13/4 in the second box, and
-9/8 in the third one
Step-by-step explanation:Notice that you are asked to write the following quadratic expression in vertex form, so you need to find the "x" value of the vertex, and then the "y" value of the vertex:

Which in our case is: -13/4
and the value of the y for the vertex is obtained using the functional expression when x equals -13/4:

Then your expression for this quadratic should be:

Then type 2 in the first box, 13/4 in the second box, and -9/8 in the third one
Answer:
Step-by-step explanation:
The probability is
P
(
A
)
=
1
3
Explanation:
To calculate the probability you have to count the number of all possible results
|
Ω
|
and the number of results that fulfill the given condition
|
A
|
.
In this case
Ω
=
{
1
,
2
,
3
,
4
,
5
,
6
}
Thereare 6 possible result of a dice toss. So
|
Ω
|
=
6
The given condition is "the result is divisible by
3
", so
A
=
{
3
,
6
}
- those are the only numbers divisible by
3
, so
|
A
|
=
2
.
Finally to calculate the probability we have to divide
|
A
|
by
|
Ω
|
.
P
(
A
)
=
|
A
|
|
Ω
|
=
2
6
=
1
3
Note The probability is never larger than
1
, so if you get such result then there must be a mistake in calculations.
The answer is x = 6
Explanation:
First, you must assume that 5x-10=20. Next, you add 10 to 20, which makes the equation 5x=30. Next, divide 30 by 5, which then makes the equation x=6. When you substitute 6 in the original equation, it works, because 5(6)-10 equals 20.
The length of the radius will be 22 units.
<h3>What is the radius?</h3>
The radius of a circle is defined as the distance of the center of the circle to its outer layer. It is a locus of a point present at some distance from the center point.
Now from the question, we have an expression:

By solving the above equation we get


Hence the length of the radius will be 22 units.
To know more about radius follow
brainly.com/question/24375372
Step-by-step explanation:
The outer angle at the top C of the ABC is 112 °. If the bisector of the side AB intersects the side AC at point Q and the segment BQ is perpendicular to AC, find the magnitude of ABC