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Allisa [31]
1 year ago
11

A circle representing a pool is graphed with a center at the origin. Grant enters the pool at point A and swims over to a friend

who is located at point B. A coordinate plane with a circle drawn. The center of the circle is the origin, (0, 0). The circle has a diameter of 16 units. There is a line segment drawn from Point A at (8, 0), passing through (0, 4) to Point B at (negative 4, 6). Which equation represents Grant’s path? y = 2 – 4x y = 4 – y = 6 – y = 8 – 2x
Mathematics
2 answers:
stich3 [128]1 year ago
4 0

Answer:

4-x/2

Step-by-step explanation:

i took the test

lutik1710 [3]1 year ago
4 0

Answer:y=4-x/2

Step-by-step explanation:

i took the test

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The diagram represents the factorization of a2+8a+12. A 2-column table with 2 rows. First column is labeled a with entries a squ
Lapatulllka [165]

Answer:

(A)6

Step-by-step explanation:

Given the quadratic expression: a^2+8a+12

We factorize:

a^2+8a+12=a^2+6a+2a+12\\=a(a+6)+2(a+6)\\=(a+2)(a+6)

Therefore, the missing number that will complete the factorization is 6.

3 0
1 year ago
Read 2 more answers
Marisol is trying to decide which job to take. She is offered three jobs. The store manager has a salary of $32,500. The
Anon25 [30]

Answer:

I think it is the department manager

8 0
1 year ago
Page:<br>If A+B+C=180 , then prove that:cosA+cosB+cosC= 1+4SINA/2SINB/2SINC/2​
lakkis [162]

Answer:

A + B + C = π ...... (1)

...........................................................................................................

L.H.S.

= ( cos A + cos B ) + cos C

= { 2 · cos[ ( A+B) / 2 ] · cos [ ( A-B) / 2 ] } + cos C

= { 2 · cos [ (π/2) - (C/2) ] · cos [ (A-B) / 2 ] } + cos C

= { 2 · sin( C/2 ) · cos [ (A-B) / 2 ] } + { 1 - 2 · sin² ( C/2 ) }

= 1 + 2 sin ( C/2 )· { cos [ (A -B) / 2 ] - sin ( C/2 ) }

= 1 + 2 sin ( C/2 )· { cos [ (A-B) / 2 ] - sin [ (π/2) - ( (A+B)/2 ) ] }

= 1 + 2 sin ( C/2 )· { cos [ (A-B) / 2 ] - cos [ (A+B)/ 2 ] }

= 1 + 2 sin ( C/2 )· 2 sin ( A/2 )· sin( B/2 ) ... ... ... (2)

= 1 + 4 sin(A/2) sin(B/2) sin(C/2)

= R.H.S. ............................. Q.E.D.

...........................................................................................................

In step (2), we used the Factorization formula

cos x - cos y = 2 sin [ (x+y)/2 ] · sin [ (y-x)/2 ]

Step-by-step explanation:

6 0
1 year ago
Sam's Furniture Store places the following advertisement in the local newspaper.
boyakko [2]

Answer:

  • $500

Step-by-step explanation:

<h3>Given</h3>
  • Sofa = s
  • Love seat = l
  • Chair = c
  • Sofa and love seat cost = $1300
  • Sofa and 2 chairs cost = $1400
  • Sofa, love seat and one chair cost = $1600
<h3>To find</h3>
  • Love seat = ?
<h3>Solution</h3>

<u>Equations as per given are:</u>

  • s + l = 1300
  • s + 2c = 1400
  • s + l + c = 1600

<u>Subtract equation 1 from equation 3:</u>

  • s + l + c - s - l = 1600 - 1300
  • c = 300

<u>Considering this in the equation 2:</u>

  • s + 2*300 = 1400
  • s = 1400 - 600
  • s = 800

<u>Substituting s in the equation 1:</u>

  • 800 + l = 1300
  • l = 1300 - 800
  • l = 500

<u>Answer:</u> Love seat costs $500

6 0
1 year ago
The most popular mathematician in the world is throwing aparty for all of his friends. As a way to kick things off, they decidet
ratelena [41]

Answer:

The no. of possible handshakes takes place are 45.

Step-by-step explanation:

Given : There are 10 people in the party .

To Find: Assuming all 10 people at the party each shake hands with every other person (but not themselves, obviously) exactly once, how many handshakes take place?

Solution:

We are given that there are 10 people in the party

No. of people involved in one handshake = 2

To find the no. of possible handshakes between 10 people we will use combination over here

Formula : ^nC_r=\frac{n!}{r!(n-r)!}

n = 10

r= 2

Substitute the values in the formula

^{10}C_{2}=\frac{10!}{2!(10-2)!}

^{10}C_{2}=\frac{10!}{2!(8)!}

^{10}C_{2}=\frac{10 \times 9 \times 8!}{2!(8)!}

^{10}C_{2}=\frac{10 \times 9 }{2 \times 1}

^{10}C_{2}=45

No. of possible handshakes are 45

Hence The no. of possible handshakes takes place are 45.

4 0
1 year ago
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