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
Answer:
Step-by-step explanation:
From the figure attached,
Coordinates of the vertices of the given rectangle ABCD,
A(3, 6), B(12, 6), C(12, 1) and D(3, 1)
Rule for the reflection of a point across x-axis,
(x, y) → (x, -y)
After reflection of the given rectangle across x-axis image points will be,
A(3, 6) → A'(3, -6)
B(12, 6) → B'(12, -6)
C(12, 1) → C'(12, -1)
D(3, 1) → D'(3, -1)
Now we can plot these points on the graph to get the image of rectangle ABCD.
Answer:
Sn=a+(n-1)d
n=60,a=-10,d=8-(-10)=8+10=18
S60=-10+(60-1)18
S60 =-10+(59)18
S60=-10+1062
S60 =1052
Answer:
C. 24.1 ft
Step-by-step explanation:
The side of the wall making the tilt of 75° will represent the hypotenuse
The height of the wall will be represented by the side opposite to the angle 75°
Apply the relationship for sine of angle Ф
Formula to use is ;
Sin Ф= length of opposite side÷hypotenuse
SinФ=O/H
Sin 75°=O/25
0.96592582628=O/25
O=0.96592582628×25 =24.1 ft
Answer:
I believe the answer is 48.
Step-by-step explanation: