Answer:
Area = 88 m²
Perimeter = 44 m
Step-by-step explanation:
✔️Area of the shape = area of the rectangle + area of the square
Area of the rectangle = L*W
L = 12 m
W = 6 m
Area of rectangle = 12*6 = 72 m²
Area of the square = s²
s = 4
Area of the square = 4² = 16 m²
Area of the shape = 72 + 16 = 88 m²
✔️Perimeter = sum of the sides surrounding the shape = 12 + 6 + 4 + 4 + 4 + 4 + 4 + 6 = 44 m
Answer:
Let b=x
Such that b^2 =8b-8 will x^2=8x-8
Using the almighty quadratic formula
x1={-b+sqrt (b^2-4ac)}/2a
x2={-b-sqrt (b^2-4ac)}/2a
From the question
a=1
b=8
c=-8
x1={-8+sqrt (8^2-4(-8))}/2
x1=(-8+5.66)/2
x1=-1.17
x2={-8-sqrt (8^2-4(-8))}/2
x2=(-8-5.66)/2
x2=-6.83
:.(x1,x2)=(-1.17,-6.83)
Step-by-step explanation:
Answer:
Step-by-step explanation:
Animal Person
y = 5.4x + 34 y = 12x + 8.5; where y - weight, x - years
looking for when weight (y) is the same, so we need
animal weight (y) = person weight (y)
5.4x + 34 = 12x + 8.5
<u> -5.4x -5.4x</u>
34 = 6.6x + 8.5
<u> -8.5 -8.5</u>
25.5 = 6.6x divide both sides by 6.6
x = 3.86 years
not sure if you need your answer in decimal or what, but you can adjust accordingly.
We know that both triangles are congruent because of the HL Theorem (in which both the hypotenuse and a leg are confirmed as congruent in a right triangle). Because of this, we know 4x = 6x - 58
Subtract 6x from both sides:
-2x = -58
Multiply both sides by -1:
2x = 58
Divide both sides by 2:
x = 29
The answer is Option C, x = 29
One pack is $4.50.
To make it simpler with no equations, There are 2 packs of markers in-between 3 packs and five packs.
So, $9 divided by 2 packs is 4.5$,
And to prove this scenario right,
3 packs= $13.5. (3•4.5)
5 packs= $22.5. (5•4.5)
So between 5 packs and 3 packs,
There is a difference of 9 dollars,
Hence 3 packs of markers at $13.5,
5 packs is $22.5, so that is $9 less
Than 5 packs of markers.
Therefore one pack of markers is $4.50, by dividing 22.5 by 4.5 or 13.5 by 4.5 after figuring out the previous.