Answer:
64 in² (Answer B)
Step-by-step explanation:
Note that this rhombus is made up of a large upper triangle and a large lower triangle. Each of these two triangles has base 2(8 in) (or 16 in) and height 4 in.
The area-of-a-triangle formula is
A = (1/2)(base)(height), which here is
A = (1/2)(16 in)(4 in) = 32 in².
Now double that, because we have an upper triangle of area 32 in² and a lower triangle of the same area 32 in². So the total area of the rhombus is 64 in²
Answer:
$27
Step-by-step explanation:
If the table was marked up 125%, you can find the retail price of it this way:
20 + 1.25(20) = retail price
$45 = retail price.
To find 40% off of that, use
$45 - .4($45) = sale price
$27 = sale price (aka discount price)
Answer:
8
Step-by-step explanation:
The x intercept is when y = 0
x + 3(0) = 6
x = 6
So (6,0) and m = 6
the y intercept is when x = 0
0 + 3y = 6 Divide by 3
y = 6/3
y = 2
the y intercept is (0,2) and n = 2
Answer
m + n = 6 + 2 = 8
Answer:
α² +β² = 3 4/9
Step-by-step explanation:
Assuming α and β are solutions to the equation, it can be factored as ...
(x -α)(x -β) = 0
Expanding this, we get ...
x² -(α +β)x +αβ = 0
Dividing the original equation by 3, we find ...
x² +(1/3)x -5/3 ≡ x² -(α+β)x +αβ ⇒ (α+β) = -1/3, αβ = -5/3
We know that the square (α+β)² can be expanded to ...
(α +β)² = α² +β² +2αβ
α² +β² = (α +β)² -2αβ . . . . . . subtract 2αβ
Substituting the values for (α+β) and αβ, we find the desired expression is ...
α² +β² = (-1/3)² -2(-5/3) = 1/9 +10/3 = 31/9
α² +β² = 3 4/9
Answer:
y=6
Step-by-step explanation:
if a slope is 0 than its just y=b. I hope u have a good day
