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3 years ago

WHich choice is equivalent to the expression below? √-125

Mathematics

1 answer:

olasank [31]3 years ago

8 0

Answer:

Final simplified form is $5\sqrt{5}i$

Step-by-step explanation:

We have been given an expression $\sqrt{-125}$

Now we need to simplify $\sqrt{-125}$ and check which choice matches with simplified form of $\sqrt{-125}$ .

You missed to provide the choices but still we simplify that.

$\sqrt{-125}$

$=\sqrt{-5*5*5}$

$=5\sqrt{-5}$

When there is negative sign inside square root then we replace that by "i" iota.

$=5\sqrt{5}i$

Hence final simplified form is $5\sqrt{5}i$

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Find the value of X Need help ASAP.

Pavlova-9 [17]

1. 4 inside angles must sum to 360:

X = 360-45-65-95 = 155

2. All the outside angles must sum

To 360:

2x + 70+ 86 + 9 = 2x + 248

2x = 360-248

2x = 112

X = 112/2 = 56

3. Sum of interior angles for 6 sides figure = 720.

X = 720 - 90-120-130-140-150

X = 90

4. Exterior angles sum to 360

4x +x + 98 + 162 = 360

5x + 260 = 360

5x = 100

X = 100/5

X = 20

4 0

3 years ago

Find the slope of the line y = 5x + 4.

avanturin [10]

Answer:

x=1/5y+−4/5

Step-by-step explanation:

Let's solve for x.

y=5x+4

Step 1: Flip the equation.

5x+4=y

Step 2: Add -4 to both sides.

5x+4+−4=y+−4/5x=y−4

Step 3: Divide both sides by 5.

5x/5=y−4/5x=1'5y+−4'5

Answer:

x=1/5y+−4/5

( I hope this was helpful) >;D

6 0

3 years ago

Write an explicit formula for a_n, the nth term of the sequence 4, -20, 100, ...

saw5 [17]

Answer:

$a_{n}$ = 4 $(-5)^{n-1}$

Step-by-step explanation:

There is a common ratio r between consecutive terms , that is

r = - 20 ÷ 4 = 100 ÷ - 20 = - 5

This indicates the sequence is geometric with nth term ( explicit formula )

$a_{n}$ = a₁ $(r)^{n-1}$

where a₁ is the first term and r the common ratio

Here a₁ = 4 and r = - 5 , then

$a_{n}$ = 4 $(-5)^{n-1}$

3 0

3 years ago

Which example below uses deductive reasoning?

rusak2 [61]

Deductive reasoning is one that necessarily follows, not one that likely follows (this would be an inductive reasoning).

Here the important information is that all squares are also parallellograms, which means that they also necesarily have all the properties of the parallelogram - the correct answer is D.

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3 years ago

Quadrilateral ABCD has vertices A(-3, 4), B(1, 3), C(3, 6), and D(1, 6). Match each set of vertices of quadrilateral EFGH with t

Sati [7]

Each transformation will give these following coordinates

Translation 7 units right gives E(4, 4), F(8, 3), G(10, 6), and H(8, 6) as shown in brown in the diagram below

Reflection on the y-axis gives E(3, 4), F(-1, 3), G(-3, 6) and H(-1, 6) as shown in green in the diagram below

Reflection on the x-axis gives E(-3, -4), F(1, -3), G(3, -6) and H(1, -6) as shown in red in the diagram below

Translation 5 units down gives E(-3, -1), F(1, -2, G(3, 1) and H(1, 1) as shown in purple in the diagram below

8 0

3 years ago