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3 years ago

What is the slope of a line through (-5, -10) and (-1, 5)

Mathematics

1 answer:

Vinil7 [7]3 years ago

3 0

Answer:

m = 15/4

Step-by-step explanation:

slope (m) = (y₂ - y₁)/(x₂ - x₁)

Let:

(x₁ , y₁) = (-5 , -10)

(x₂ , y₂) = (-1 , 5)

Plug in the corresponding numbers to the corresponding variables:

m = (5 - (-10))/(-1 - (-5))

m = (5 + 10)/(-1 + 5)

m = (15)/(4)

m = 15/4 is your answer.

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Karen works for $10 an hour. A total of 25% of her salary is deducted for taxes and insurance. She is trying to save $450 for a

BlackZzzverrR [31]

Each hour is worth $7.5, it will take 60 hours

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3 years ago

Use the elimination method to solve the system of equations. Choose the correct ordered pair. 2y = x + 2 x - 3y= -5 O A. (2, 2)

Darya [45]

Answer:

(4,3)

Step-by-step explanation:

2y = x + 2

x - 3y = -5

Rearrange the second equation to equal y.

x - 3y = -5

x + 5 = 3y

(x+5)/3 = y

Substitute into the first equation.

2y = x +2

2[(x+5)/3] = x + 2

(2x + 10)/3 = x + 2

2x + 10 = 3(x + 2)

2x + 10 = 3x + 6

10 - 6 = 3x - 2x

4 = x

Therefore, the correct ordered pair is (4,3) since x is equal to 4.

8 0

3 years ago

How can you use the prime factorization of the powers of ten to find the prime factorization of 270,000?

RoseWind [281]

Prime factorization is the process of finding the factors of a number and these factors must be of prime numbers.

27000 = 27 × 10000
27000 = 27 × 10⁴
27000 = 3 × 9 × 10⁴ [Here we have 3 as a prime number, but not '9' and '10', so we will keep breaking this down]
27000 = 3 ×3 × 3 × (2 × 5) ⁴ [Here we have all prime numbers]
27000 = 3³ × 2⁴ × 5⁴

8 0

4 years ago

ILL GIVE YOU A BRAINLIEST BUT ONLY IF YOURE RIGHT EVERYONE WHO HAS ANSWERED THIS QUESTION HAVE ALL BEEN WRONG SO PLEASE HELP

UkoKoshka [18]

Number 1: a2=3-4=-1

Number 2: a2=-5-4=-9

Number 3: a2=-1-4=-5

Number 4: a1=3

Answer is =-1,-9,-5,3

Hope this helps:)

4 0

3 years ago

John invested N$ 20 000 on 1/06/2009 at 9% p.a. interest compounded monthly

alina1380 [7]

Answer:

a) $49,027.14

b) $54,501.67

Step-by-step explanation:

a) The account balance multiplier for interest rate r compounded n times per year for t years is ...

multiplier = (1 +r/n)^(nt)

For your numbers, r=.09, n=12, t=10, this is 2.45135708, so the account balance after 10 years will be ...

$20,000 × 2.45135708 ≈ $49,027.14

b) All but $20,000 of the above balance is interest, so the amount invested for the second period is $29,027.14.

The multiplier for a continuously compounded interest rate r for t years is ...

multiplier = e^(rt)

For your numbers, r=.105 and t=6, so the multiplier is e^.63 ≈ 1.8776106 and the account balance for an investment of $29,027.14 will be ...

$29,027.14 × 1.8776106 ≈ $54,501.67

3 0

3 years ago