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cestrela7 [59]
2 years ago
7

Please solve with explanation 8 points

Mathematics
1 answer:
11111nata11111 [884]2 years ago
3 0

Answer:

See below.

Step-by-step explanation:

Given :-

x² + bx + c = 0 if x₁ + x₂ = -b and x₁x₂ = c

Solving :-

a) x₁ = 1/2 and x₂ = -3/4

=> x² + -(1/2 + -3/4)x + 1/2(-3/4)

=> x² + -(-1/4)x + (-3/8)

=> x² + 1/4x - 3/8

=> 8x² + 2x - 3 = 0

b) x₁ = 1 + √5 and x₂ = 1 - √5

=> x² + -(1 + √5 + 1 - √5)x + (1 + √5)(1 - √5)

=> x² - 2x + 1 - 5

=> x² - 2x - 4 = 0

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If LK=MK, LK=7x-10,KN=x+3, MN=9x-11 and KJ=28 find LJ
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Suppose J, K, L, M, N are points on the same line.

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LJ = MK + KJ

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3 years ago
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Ingrid Nilsen purchased a $4,000 hydroponic system for her garden. The down payment is 20%, and the
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d) total amount repaid = $4,517

e) finance charge = $517

<h3>How is periodic payment computed?</h3>

The amount of the periodic payment, finance charge, and total repayment can be computed using an online finance calculator as follows:

<h3>Data and Calculations:</h3>

Auto Price = $4,000

Loan Term = 36 months

Interest Rate = 10%

Down Payment = $800 ($4,000 x 20%)

Monthly Payment  = $103.25

Total Loan Amount $3,200.00

Upfront Payment = $800.00 ($4,000 x 20%)

Total of 36 Loan Payments = $3,717. ($103.25 x 36)

Total Loan Interest = $517

Total Cost (price, interest, tax, fees) = $4,517

Thus, Ingrid Nilsen repaid a total of $4,517 with $517 in interest (finance charge).

Learn more about periodic payments at brainly.com/question/13098072

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2 years ago
Determine the measure of ∠Y. images attached
Gwar [14]

Answer:

<h3>The answer is option C</h3>

Step-by-step explanation:

Since it's a right angled triangle we can use trigonometric ratios to find the value of ∠Y

To find the value of ∠Y we use tan

We have

\tan(∠Y)  =  \frac{25}{20}  \\  \tan(∠Y)  =  \frac{5}{4}  \\ ∠Y =  { \tan^{ - 1} } \frac{5}{4}  \\ ∠Y = 51.34019...

We have the final answer as

<h3>51.34°</h3>

Hope this helps you

5 0
2 years ago
Read 2 more answers
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