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Karo-lina-s [1.5K]
3 years ago
5

A student simplified the radical expression at the right. What mistake did the student make? What is the correct answer?

Mathematics
1 answer:
Leni [432]3 years ago
8 0
X has to be inside the radical.
It would be
\sqrt{ \frac{5x}{5} }
Simplify the radical by breaking the radicand up into a product of known factors.
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Which new angle is created by extending one side of a triangle
8090 [49]

Answer: The correct option is (C). an exterior angle.

Step-by-step explanation: We are to select the name of the new angle that is created by extending one side of a triangle.

Let ABC be a triangle as shown in the attached figure.

∠ABC, ∠ACB and ∠BAC are three interior angles of the triangle ABC.

Let us extend the side BC towards C to point D. The newly created angle is ∠ACD.

∠ACD is called the exterior angle of ΔABC.

Therefore, the newly created angle is an exterior angle.

Thus, option (C) is correct.

7 0
3 years ago
Read 2 more answers
Tickets to a football final are selling well. On Thursday, 47 of the tickets are sold. On Friday, 14 of the tickets are sold. Wh
lbvjy [14]

The question seems incomplete ; as the total number of tickets to be sold isn't given.

Answer:

61 / X

Step-by-step explanation:

Let's take the total Number of tickets to be sold as : X

Number of tickets sold on Thursday = 47

Number sold on Friday = 14

Fraction of tickets available for sale on Saturday :

(Total number of tickets already sold) / Total number of tickets to be sold

(Thursday + Friday sales) / total number of tickets to be sold

Fraction available for sale on Saturday = (47+14) / X

Fraction available for sale on Saturday = 61 / X

Kindly put value of x = total number of tickets available for sale to get the exact fraction.

6 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20-%203%20%2B%205i%20%20%5Cdiv%20%20-%203%20-%204i" id="TexFormula1" title=" - 3 + 5i \div
Likurg_2 [28]

Answer:

\frac{-11}{25}+\frac{-27}{25}i given you are asked to simplify

\frac{-3+5i}{-3-4i}

Step-by-step explanation:

You have to multiply the numerator and denominator by the denominator's conjugate.

The conjugate of a+bi is a-bi.

When you multiply conjugates, you just have to multiply first and last.

(a+bi)(a-bi)

a^2-abi+abi-b^2i^2

a^2+0         -b^2(-1)

a^2+-b^2(-1)

a^2+b^2

See no need to use the whole foil method; the middle terms cancel.

So we are multiplying top and bottom of your fraction by (-3+4i):

\frac{-3+5i}{-3-4i} \cdot \frac{-3+4i}{-3+4i}=\frac{(-3+5i)(-3-4i)}{(-3-4i)(-3+4i)}

So you will have to use the complete foil method for the numerator. Let's do that:

(-3+5i)(-3+4i)

First: (-3)(-3)=9

Outer::  (-3)(4i)=-12i

Inner: (5i)(-3)=-15i

Last: (5i)(4i)=20i^2=20(-1)=-20

--------------------------------------------Combine like terms:

9-20-12i-15i

Simplify:

-11-27i

Now the bottom (-3-4i)(-3+4i):

F(OI)L (we are skipping OI)

First:-3(-3)=9

Last: -4i(4i)=-16i^2=-16(-1)=16

---------------------------------------------Combine like terms:

9+16=25

So our answer is \frac{-11-27i}{25}{/tex] unless you want to seprate the fraction too:[tex]\frac{-11}{25}+\frac{-27}{25}i

6 0
3 years ago
Fernando puts 3 pictures on each page of his photo album. He puts pictures on 8 pages. Represent it by array.
lakkis [162]
X X X X X X X X
X X X X X X X X
X X X X X X X X
6 0
2 years ago
Read 2 more answers
Find two positive numbers whose product is 64 and whose sum is a minimum. (If both values are the same number, enter it into bot
DedPeter [7]

Answer:

X = 8, y = 8

Step-by-step explanation:

This question is an optimization problem. Two equations are going to be needed here

n = x+y

P = xy

Such that 64 = xy

When we divide through by x we get:

y = 64/x

So that n becomes:

n = x + 64/x

n = x+64x^-1

We take derivative

n' = 1-64x^-2

When n' = 0 then a min|max occurs

0 = 1-64x^-2

Such that:

64/x² = 1

Divide through by x²

64 = x²

x = √64

x = 8

Remember y = 64/x

So,

Y = 64/8

Y = 8.

X = 8, y = 8

Thank you!

3 0
2 years ago
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