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Mashcka [7]
3 years ago
9

I have to match each expression to its equivalent form. Please help me out

Mathematics
1 answer:
Delvig [45]3 years ago
3 0

Answer:

x^2 - 12x + 37

x^2 + 16

x^2 + 6x + 34

Step-by-step explanation:

Let's expand the first one:-

(x - 6 + i)(x - 6 - i)

= x^2 - 6x - ix - 6x + 36 + 6i  + ix - 6i - i^2

= x^2 - 12x  -ix + ix - 6i + 6i  + 36 - (-1)

= x^2 - 12x + 37 (answer).


(x + 4i)(x - 4i)

= x^2 + 4ix - 4ix -16 i^2

= x^2 + 16   (answer).


(x + 3 + 5i)(x + 3 - 5i)

= x^2 + 3x - 5ix + 3x + 9 - 15i + 5ix  + 15i - 25 i^2

= x^2 + 6x + 34. (answer).

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Fiesta28 [93]

Answer:

D.) c is multiplied by 4

Step-by-step explanation:

c = \dfrac{8a^3}{b}

If a is doubled, it becomes 2a. If b is doubled, it becomes 2b. Now we replace a with 2a and b with 2b and simplify.

c = \dfrac{8(2a)^3}{2b}

c = \dfrac{8 \times 8a^3}{2b}

c = \dfrac{4 \times 8a^3}{b}

c = 4 \times \dfrac{8a^3}{b}

Answer: D.) c is multiplied by 4

4 0
2 years ago
Answer quickly plz
Rainbow [258]

Answer:

The observation I can make for the values of pi for circles A and B is that the value of pi remains the same whether we find pi using the circumference of the circle or the Area of the circle, the value of pi remains the same for both circles.

Pi = π = 3.14

Step-by-step explanation:

Part A: Using the formula for circumference, solve for the value of pi for each circle. (4 points)

The formula for the circumference of circle when Diameter is given = πD

π = Circumference / Diameter

For Circle A :

Circle A has a diameter of 7 inches, a circumference of 21.98 inches.

π = 21.98 inches/7 inches

π = 3.14

For Circle B

The diameter of circle B is 6 inches, the circumference is 18.84 inches

π = 18.84 inches/6 inches

π = 3.14

Part B: Use the formula for area and solve for the value of pi for each circle. (4 points)

The formula for the area of the circle = πr²

Circle A has a diameter of 7 inches, an area of 38.465 square inches.

r = Radius = 7 inches ÷ 2

= 3.5 inches

π = Area / Radius²

π = 38.465 in²/(3.5 inches)²

π = 3.14

For Circle B

The diameter of circle B is 6 inches, and the area is 28.26 square inches.

r = Radius = 6 inches ÷ 2

= 3 inches

π = Area / Radius²

π = 28.26 in²/(3 inches)²

π = 3.14

Part C: What observation can you make about the value of pi for circles A and B? (2 points)

The observation I can make for the values of pi for circles A and B is that the value of pi remains the same whether we find pi using the circumference of the circle or the Area of the circle, the value of pi remains the same for both circles.

8 0
3 years ago
Find the M<6 if m<2 = 75
ryzh [129]

Answer:

75

Step-by-step explanation:

angle 2 and angle 6 are corresponding angles, because the lines are parallel and cut by a transversal, corresponding angles are congruent, thus if angle 2 is 75 degrees then angle 6 is 75 degrees

8 0
3 years ago
Alex buys 24 apples and when he opens it 6 apples are bad whats the perecentage of the bad apples
nataly862011 [7]
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answer is 25% are bad
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3 years ago
Anacondas are snakes found in South America anacondas can measure over 16 1/2 feet in length how many inches are in 16 1/2
OLga [1]

Answer:

198 inches

Step-by-step explanation:

There are 12 inches in each foot

multiply 16 by 12 you get 192

Half of a foot is 6 inches

add 6 inches and you get 198

5 0
3 years ago
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