Answer:
14
Step-by-step explanation:
k
=
c
−
b
2
4
a
We know that
a
=
1
,
b
=
−
8
and
c
=
2
, so let's substitute:
k
=
2
−
(
−
8
)
2
4
(
1
)
=
2
−
64
4
=
2
−
16
=
−
14
.
So, we have
min
=
−
14
. Let's check:
graph{(x^2 - 8x + 2 - y)(-14 -y)=0 [-11.82, 20.22, -15.38, 0.64]}
The tangent and cotangent functions of the angle are related such that one is the reciprocal of the other. From the given tan theta = 11 / 60. The reciprocal of this number is 60 / 11. This value is also the cotangent of the angle. Thus, the cotangent angle theta is 60 / 11.
Answer:
x = q + 3
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define Equation</u>
x - 3 = q
<u>Step 2: Solve for </u><em><u>x</u></em>
- Add 3 to both sides: x = q + 3
Answer:
-6
-6i
6i
6
Step-by-step explanation:
1) √4 . √-3 . √-3
-6
2) √-4 . √-3 . √-3
.
Therefore, 
- 6i
3) √4 . √3 . √-3
6i
4) √4 . √3 . √3
Therefore, √4 . √3 . √3 = 2 . 3 = 6
Number of boys enrolled is 105
<em><u>Solution:</u></em>
Given that, At a local preschool there is s as ratio of 3 boys to every 4 girls
There are 245 total preschoolers
Ratio of boys and girls = 3 : 4
Number of boys : number of girls = 3 : 4
Let the number of boys be 3x
Let the number of girls be 4x
Total number of preschoolers = 245
Therefore,
number of boys + number of girls = 245
3x + 4x = 245
7x = 245
x = 35
Number of boys = 3x = 3(35) = 105
Thus number of boys is 105
