Answer:
(3,2)
Step-by-step explanation:
take negative from inside bracket as x and contant outside as y, and done
The correct match of each tile of the equation with its solution is:
- n - 13 = - 12 →→→ 1
- n/5 = -1/5 →→→ -1
- n + 15 = - 10 →→→ -25
<h3>How do we match each tile to the correct box?</h3>
To match each tile to the correct box, we have to solve the arithmetic operations in the box, then drag the correct tile that matches our answer into the box.
From the image attached below;
1.
n - 13 = - 12
Let us add (+13) to both sides to eliminate (-13), i.e.
n - 13 + 13 = - 12 + 13
n = 1
2.
n/5 = -1/5
multiply both side by 5
n/5 × (5) = -1/5 × (5)
n = -1
3.
n + 15 = - 10
n +15 - 15 = - 10 - 15
n = -25
Learn more about matching each tile to the correct box here:
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Answer:
<u>Given</u>
- tanθ = 3.454
- θ is in the III quadrant
We know in the III quadrant both sine and cosine are negative.
<u>Use the following identities to get values of sinθ and cos θ</u>
- sinθ = - tanθ/√(1 +tan²θ)
- cosθ = - 1/√(1 +tan²θ)
<u>Substitute the value of tanθ and find sine and cosine:</u>
- sinθ = - 3.454/√(1 + 3.454²) = - 0.961
- cosθ = - 1/√(1 + 3.454²) = - 0.278
1.) Find the area of the circle:
• Formula: A=pi•r^2
- To find the area of a circle, we need to have the radius, and since the diameter is 2x the length of the radius, the radius is 1/2 of the diameter.
Finding the radius: r=d/2
r=12/2
r = 6.
- Now that we know that r=6, we can substitute it into the formula:
• A=pi•r^2
A=pi•(6)^2
A=113.097
- The area of the circle is 113.097ft.^2. We know that a square foot is $10.50. So, we have 113.097 square feet at $10.50/sq. foot. This means that we will add $10.50 113.097 times. Therefore:
113.097 • 10.50 = 1,187.518
So, total, it will cost $1,187.518
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Answer:
Area of the base = 
Step-by-step explanation:
We know that volume of rectangular prism = (Area of base) x (Height)
or [Area of base] = [Volume]/[Height]
So basically we need to divide given area by given height to find the answer.
given height is (x+2) that means (x+2) must be factor of volume equation
or x=-2 must be root of volume equation so write down coefficients of volume equation then we divide by -2 as shown in attached picture.
Last digit on the right is always remainder.
Remaining coefficients {2, 5, -18} will give the area equation: 
Hence final answer is:
Area of the base = 