PLEASE ANSWER THIS!!!

Solve the equation by taking the square root 4(x+1)^2=100

Naddika [18.5K]

Answer:

Step-by-step explanation:

4(x+1)²=100

(x+1)²= 5²

(x+1)²- 5² = 0

(x+1-5)(x+1+5) = 0 by identity : a² - b ² = (a - b) (a+b)

(x - 4 ) (x+6) =0

x - 4 = 0 or x+6 = 0

x = 4 or x = - 6

3 0

3 years ago

Amanda's school is due west of her house and due south of her friend Shereen's house. The distance between the school and Sheree

Blizzard [7]

The Amanda's house is 6.7 km far from her school.

<u>Step-by-step explanation:</u>

From the given information,

The Amanda's school is due west of her house forms the base.
The school is due south of the Shereen's house forms the height.
The straight-line distance between Amanda's house and Shereen's house forms the hypotenuse.

Therefore, It can be determined that it forms the right angle triangle.

It is given that,

The distance between the school and Shereen's house is 2 kilometers.

That is, the height of the triangle = 2 km

The straight-line distance between Amanda's house and Shereen's house is 7 kilometers.

That is, the hypotenuse of the triangle = 7 km

Now, the distance between the Amanda's house and her school is the base of the triangle.

Base = $\sqrt{(hypotenuse)^{2}-(height)^{2} }$

⇒ $\sqrt{(7)^{2} -(2)^{2} }$

⇒ $\sqrt{49-4}$

⇒ $\sqrt{45}$

⇒ 6.7 km

Therefore, the Amanda's house is 6.7 km far from her school.

3 0

3 years ago

How can you divide 512 Dollars between two people So that one person can get $20 more than the other

Naya [18.7K]

Step-by-step explanation:

It is possible

One person will get 246 while the other will get 266 = 512

6 0

4 years ago

Read 2 more answers

A function is _____ a relation.

Natalka [10]

The correct answer to your question is sometimes

4 0

4 years ago

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50% of babies are born female Oliver wants to find the probability that 20 or more of the 50 babies born today were female if we

jarptica [38.1K]

Solution:

Number of babies which are female = 50%= $\frac{1}{2}$

So, if Population of 50 is considered , and 50% of population is female then out of 25 must be female.

Population of female can't exceed 25.

Probability of an event = $\frac{\text{Total favorable outcome}}{\text{Total Possible outcome}}$

Probability that 20 or more of the 50 babies born today were female

= $_{20}^{50}\textrm{C}\times [\frac{1}{2}]^{20} \times [\frac{1}{2}]^{30}+_{21}^{50}\textrm{C}\times [\frac{1}{2}]^{21} \times [\frac{1}{2}]^{29}+_{22}^{50}\textrm{C}\times [\frac{1}{2}]^{22} \times [\frac{1}{2}]^{28}+_{23}^{50}\textrm{C}\times [\frac{1}{2}]^{23} \times [\frac{1}{2}]^{27}+_{24}^{50}\textrm{C}\times [\frac{1}{2}]^{24} \times [\frac{1}{2}]^{26}+ _{25}^{50}\textrm{C}\times [\frac{1}{2}]^{25} \times [\frac{1}{2}]^{25}$

Simulation of the Above Situation

If we use a double sided coin and a sign heads us females and Tails as males,Toss the coin 50 times , number of times Heads comes shows number of females born and number of times tails appears shows Population of men.

It may not happen that Number of heads =Number of tails if we toss the coin 50 times.So if number of tosses increases the chances are more likely that , number of heads= Number of tails. But for above problem we just have to toss coin 50 times only, that is

Number of males = Number of females

8 0

4 years ago

Read 2 more answers