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Charra [1.4K]
3 years ago
12

What number must you add to complete the square? x^2+6x=23

Mathematics
1 answer:
Shalnov [3]3 years ago
8 0

Answer:

9

Step-by-step explanation:

using the formula (b/2)^2 you will divide 6 by 2 and square it. you will get 9. if you add 9 to the left side, you would have to add it on the right side as well (23+9=32). your answer should look like x^2+6x+9=32

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Write cot θ in reduced fraction form. (Picture included)
aleksandr82 [10.1K]
Tangent theta = opp/adj = 48/36 = 4/3
8 0
3 years ago
A house is being purchased at the price of $138,000.00. The 30-year mortgage has a 10% down payment at an interest rate of 4.875
Mama L [17]

Answer:

  $238,600

Step-by-step explanation:

The amount being borrowed is 100% -10% = 90% of the purchase price, or ...

  0.90 × $138,000 = $124,200.

Then the monthly payment can be computed using the amortization formula:

  A = P(r/12)/(1 -(1 +r/12)^(-12t))

  A = 124200(.04875/12)/(1 -(1 +.04875/12)^(-12·30)) ≈ 657.28

and the total repaid is ...

  (360 months) × ($657.28/month) = $236,619.58*

The cost of mortgage insurance is considered part of the cost of the loan. That amount is ...

  (77 months) × ($25.88/month) = $1992.76

so the total amount paid for the loan is ...

  $236,619.58 +1992.76 = $238,612.34

The cost of the loan is about $238,600.

_____

* In figuring the total repayment cost, we used the full-precision value for the loan payment. The actual repayment amount will depend on the rounded value of the loan payment and the way the final payment is made. When rounded to the nearest $100, these details become unimportant.

3 0
3 years ago
The vertices of AMNO are M (1,3), N (4,9), and O (7,3). The vertices of APQR are P (3,0), Q (4,2), and R (5,0) Which conclusion
Pavel [41]

Answer:

the correct answer should be C

Step-by-step explanation:

hope this helps you

3 0
3 years ago
Can any kind soul help me please​
bezimeni [28]

Answer:

p-q= -4

p=q-4

x^2 + px + q=0

=> x^2 + (q-4)x + q = 0

d= b^2-4ac

=(q-4)^2 - 4(1)(q)

= q^2 + 16 -8q - 4q

=q^2 -12q+16

given that D=16

q^2 -12q+16 = 16

=> q^2 -12q = 0

=> q^2 = 12q

=> q = 12q/q

=> q= 12

Therefore the value of q is 12 and the value of p is q-4 = 12-4= 8

Hope you understood............

6 0
3 years ago
Rolls are being prepared to go to grocery stores. Divide 72 rolls into 2 groups so the ratio is 3 to 5. (please include your wor
natali 33 [55]
\sf 3:5 \to 3x:5x\\\\3x +5 = 8x\\ 8x = 72\\ x = 9\\\\9\times 3 =27\\9\times 5 =45\\ 27+45=72\\\\so~ the~ 2~ groups ~are~ 27~ and~ 45
8 0
3 years ago
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