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adelina 88 [10]
2 years ago
8

Directions: Simplify the following expressions using the imaginary number.

Mathematics
1 answer:
drek231 [11]2 years ago
5 0

Answer:

1  i(sqrt5)

2  7i

3  -9i

4  -64i

5  -5i(sqrt2)

6  -4i(sqrt3)

7  10i(sqrt3)

8  2i(sqrt2)

9  3i(sqrt7)

10  -30i(sqrt2)

Step-by-step explanation:

i is the square root of (-1). We can simplify each one as such.

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2
Sati [7]

Answer:

176 mm

Step-by-step explanation:

The circumference of a circle is the perimeter of a circle (length of a circle). The circumference of a circle is given as:

Circumference (C) = 2πr = πd, where d is the diameter

The circumference of a circle with diameter 7 mm is:

C = πd = 22/7(7) = 22 mm

The length of the paper to round the cylindrical pencil is the same as the perimeter of the pencil which is 22 mm.

To round the pencil 8 times, the length of the paper needed = 8 × 22 mm = 176 mm

6 0
3 years ago
For a craft project, two equilateral triangles are taped together to create a quadrilateral. what is the quadrilateral? rhombus
pantera1 [17]
The answer is Rhombus because it is two equilateral triangles that can create a quadrilateral. A quadrilateral has exactly four sides and it is also a polygon. A rhombus has four equal sides and it is any parallelogram with equal sides including a square. A rhombus is like a diamond. In your question, the craft project that has a two equilateral triangle that tapes together and creates an equilateral, I picture it as a diamond and the diamond is including in the family of a rhombus. All side have equal length, opposite side is parallel and the other opposite angles are equal.
4 0
3 years ago
Read 2 more answers
Determine whether a figure with the given vertices is a parallelogram. Use the method indicated.
aliya0001 [1]

Answer with explanation:

The coordinates of four points of Quadrilateral ABCD are

    A(4, 5), B(–7, –10), C(–4, –9), D(7, 6)

AB=\sqrt{(4+7)^2+(5+10)^2}\\\\AB=\sqrt{121+225}\\\\AB=\sqrt{346}\\\\BC=\sqrt{(-7+4)^2+(-10+9)^2}\\\\BC=\sqrt{9+1}\\\\BC=\sqrt{10}\\\\CD=\sqrt{(4+7)^2+(5+10)^2}\\\\CD=\sqrt{121+225}\\\\CD=\sqrt{346}\\\\DA=\sqrt{(7-4)^2+(6-5)^2}\\\\DA=\sqrt{9+1}\\\\DA=\sqrt{10}

Slope between two points is given by

 m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\m_{1}=\frac{-10-5}{-7-4}\\\\=\frac{-15}{-11}\\\\m_{1}=\frac{15}{11}\\\\m_{2}=\frac{-9+10}{-4+7}\\\\m_{2}=\frac{1}{3}\\\\m_{3}=\frac{6+9}{7+4}\\\\m_{3}=\frac{15}{11}\\\\m_{4}=\frac{6-5}{7-4}\\\\m_{4}=\frac{1}{3}

As slope of opposite sides are equal and length of Opposite sides are equal.So,the given Quadrilateral is a Parallelogram.

Option A

Yes; The opposite sides are congruent and have the same slope.

6 0
3 years ago
Y-3=2(x+1) Whats the missing value in the solution to the equation. (-1,__)
mixas84 [53]

Answer: y = 3

Step-by-step explanation: y−3=2(x+1)

We know that x=-1 and we want to solve for y

Put in x=-1

y-3 = 2(-1+1)

y-3 = 2(0)

y-3=0

Add 3 to each side

y-3+3 = 0+3

y =3

6 0
3 years ago
What is the quotient of -3/8 and -1/3?
Sedaia [141]

Answer:

D

Step-by-step explanation:

-3/8 ÷ (-1/3)

-3/8 × (-3/1)

9/8

1 1/8

5 0
3 years ago
Read 2 more answers
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