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Crazy boy [7]
4 years ago
5

2^2 + (2√3)^2 = y^2 Please help!

Mathematics
1 answer:
IrinaK [193]4 years ago
3 0

Answer:

y=4, -4

Step-by-step explanation:

2^2 + (2√3)^2 = y^2

4+ (2√3)^2 = y^2

y^2=4+12 (here we square the values inside bracket which turns 2 into 4 and when you square a square root it gets rid of the root so you are left with 3 which is multiplied to 4 and you get 12.)

y^2= 16

y=4, -4 (when you square root a positive value you get one positive and one negative answer because here (-4) x (-4) = 16 (because multiplying two negatives gives us a positive.

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I don’t understand how to proof Cpctc or answer the questions
n200080 [17]
I think that first you need to understand what CPCTC is used for.

Let's start with the definition of congruent triangles.

Definition of congruent triangles
Two triangles are congruent if each side of one triangle is congruent to a corresponding side of the other triangle and each angle of one triangle is congruent to a corresponding angle of the other triangle.

A definition works two ways.
1) If you are told the sides and angles of one triangle are congruent to the corresponding sides and angle of a second triangle, then you can conclude the triangles are congruent.
2) If you are told the triangles are congruent, then you can conclude 6 statements of congruence, 3 for sides and 3 for angles.

Now let's see what CPCTC is and how it works.
CPCTC stands for "corresponding parts of congruent triangles are congruent."
The way it works is this. You can prove triangles congruent by knowing fewer that 6 statements of congruence. You can use ASA, SAS, AAS, SSS, etc. Once you prove two triangles congruent, then by the definition of congruent triangles, there are 6 congruent statements. That is where CPCTC comes in. Once you prove the triangles congruent, then you can conclude two corresponding sides or two corresponding angles are congruent by CPCTC. These two corresponding parts were not involved in proving the triangles congruent.

Problem 1.

Statements                                        Reasons
1. Seg. AD perp. seg. BC               1. Given
2. <ADB & <ADC are right angles     2. Def. of perp. lines
3. <ADB is congr. <ADC                 3. All right angles are congruent
4. Seg. BD is congr. seg CD           4. Given
5. Seg. AD is congr. seg. AD        5. Congruence of segments is reflexive
6. Tr. ABD is congr. tr. ACD           6. SAS
7. Seg. AB is congr. seg. AC        7. CPCTC

4 0
3 years ago
A study on how circus ticket pricing influences ticket sales shows that there is an average increase of 4 people for every $3 de
____ [38]
Let the price of a ticket be originally T dollars, and the number of clients be N.

let the price decrease by x  3-dollars.

"there is an average increase of 4 people for every $3 decrease on the price of the ticket."

means:

if the price is decreased by 1-3$:
 then N become N+4, and T becomes T-3    


if the price is decreased by 2-3$:
 then N become N+4+4=N+2*4, and T becomes T-3-3=T-2*3    

 So if the price is decrease by x-3 dollars:

N  becomes N+4x, and T becomes T-3x


"A circus owner sells an average of 340 tickets when the price of a ticket is $75."

In this case N=340, and T=75$

If the owner does not change the price ticket, x=0, the revenue is 340*75,

If the owner decreases the price of the tickets by x-3$, then the revenue will be 
(N+4x)(T-3x)=(340+4x)(75-3x) dollars,

If R is the function of the revenue depending on x, then 

R(x)=(340+4x)(75-3x) dollars

 
Answer: R(x)=(340+4x)(75-3x) dollars

8 0
3 years ago
The baseball team needs new equipment. Company A can provide 9 helmets, 6 bats, and 12 balls for $525. Company B can provide 10
Olin [163]

Answer:

Choice A.

Step-by-step explanation:

Let x = price of a helmet, y = price of a bat, z = price of a ball.

Company A can provide 9 helmets, 6 bats, and 12 balls for $525.

9x + 6y + 12z = 525

Company B can provide 10 helmets, 8 bats, and 10 balls for $600.

10x + 8y + 10z = 600

Company C can provide 8 helmets, 5 bats, and 15 balls for $500.

8x + 5y + 15z = 500

Answer: Choice A.

6 0
3 years ago
Read 2 more answers
What is the equation of the line in slope intercept form? I WILL GIVE BRAINLY
irina [24]

Answer:

y=x+20

Step-by-step explanation:

The y-intercept is 20, as the line is on the y-axis while x is 0. The slope would be 0, because the y and x values both increase by 10, so 10/10 which simplifies to 1. The result would be y=10/10x + 20 simplifying to y=1x+20, which is y=x+20.

Hope this helps!

4 0
4 years ago
Read 2 more answers
3<br> Circle the shapes that are congruent.
dangina [55]

Answer:

Shapes 1 and 3 are congruent

Step-by-step explanation:

The only thing different between them is that the first one is tilted to look different.

3 0
3 years ago
Read 2 more answers
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