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SashulF [63]
3 years ago
9

Solvę for x. Assume that lines which appear tangent are tangent.

Mathematics
1 answer:
Tom [10]3 years ago
6 0

Answer:

7

Step-by-step explanation:

Use secant-tangent product theorem.

1. Set up the equation

(x-3)(x-3+5) = (x-1)²

2. Solve

(x-3)(x+2) = (x²-2x+1)

(x²-x-6) = (x²-2x+1)

3. Solve for x

Subtract x² from both sides

-x-6 = -2x+1

Add 2x and 6 to both sides

x = 7

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Patricia purchased x meters of fencing. She originally intended to use all of the fencing to enclose a square region, but later
sergejj [24]

Answer:

  (y^2)/4 square meters

Step-by-step explanation:

For a perimeter length of x, the side of a square will be x/4 and its area will be (x/4)^2.

If one side of the square is shortened by y/2 and the adjacent side is lengthened by y/2, then the difference in side lengths will be y. The area of the resulting rectangle will be ...

  (x/4 -y/2)(x/4 +y/2) = (x/4)^2 -(y/2)^2

That is, the difference in area between the square and the rectangle is ...

  (x/4)^2 - ((x/4)^2 -(y/2)^2) = (y/2)^2 = y^2/4

The positive difference between the area of the square region and the area of the rectangular region is y^2/4 square meters.

5 0
3 years ago
The store salsa jars have a height of ten centimeters and a radius of five centimeters. If
Alex_Xolod [135]

Answer:

471.2 cm³ missing

Step-by-step explanation:

jars are cylinders

volume of cylinder = π * r² * h

h=10

r=5

v=785.4 cm³ of a full jar

r stays the same = 5

h = 4

v= 314.2 cm³ left in the jar

whats missing is the full-left

785.4-314.2=471.2 cm³ missing

6 0
3 years ago
What is 6,000 people voted in the election how many were from 18 to 29 years old?
Ilia_Sergeevich [38]
6000*10%=600
600 people voted at at aged 18 to 29 years old.
4 0
3 years ago
How do you find the area of a trapezoid?
tiny-mole [99]
Area= base + base / 2 then multiply the height.

Example:  6+7 /2*6=  39


8 0
3 years ago
What is W(x) = 3/5x + 2
son4ous [18]

Answer:

W(x)=3/5x+2

W(1)=3/5(1)+2

w(1)=13/5

꧁꧂

W(2)= 3/5×(2)+2

W(2)=3/10+2

W(2)=23/10

꧁꧂

W(3)=3/5×(3)+2

W(3)= 7

8 0
3 years ago
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