Answer:
"The product of a rational number and an irrational number is SOMETIMES irrational." If you multiply any irrational number by the rational number zero, the result will be zero, which is rational. Any other situation, however, of a rational times an irrational will be irrational.
Step-by-step explanation:
PLZ MARK BRAINLIEST
Answer:
Use the quadratic formula
=
−
±
2
−
4
√
2
x=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}
x=2a−b±b2−4ac
Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.
5
2
−
4
1
+
8
=
0
5x^{2}-41x+8=0
5x2−41x+8=0
=
5
a={\color{#c92786}{5}}
a=5
=
−
4
1
b={\color{#e8710a}{-41}}
b=−41
=
8
c={\color{#129eaf}{8}}
c=8
=
−
(
−
4
1
)
±
(
−
4
1
)
2
−
4
⋅
5
⋅
8
√
2
⋅
5
2
Simplify
3
Separate the equations
4
Solve
Solution
=
8
=
1
5
The first choice: <span>(x + 1)(x + 8)</span>.
1+8=9
1*8=8
Answer:
Step-by-step explanation:
You see that there’re angles with 30 and 90 degrees that means that -> 180-(90+30)=60 (measurement of the third angle)
Here you’ll need to use the 30,60,90 degree triangle rule:
The opposite side of 30 degree will be y
30->y
90->2y->12√3 => y=6√3
60->y√3->x => 6√3x√3=6x3=18
To understand the rule better you can check the picture below.Wish it will help you!Good luck!
Answer:
Sorted Data Set: 2, 10, 12, 13, 14, 15, 17, 18, 18, 20, 21
Mean (Average) 14.545454545455
Median 15
Range 19
Mode 18, appeared 2 times
Geometric Mean 12.803503609558
Largest 21
Smallest 2
Sum 160
Count 11
First Quartile Q1 = 12
Second Quartile Q2 = 15
Third Quartile Q3 = 18
Interquartile Range IQR = 6
