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2 years ago

Please help me put them in order from least to greatest

Mathematics

1 answer:

Scorpion4ik [409]2 years ago

5 0

With calculator
sqrt(102) = 10.0995
10 = 10
3pi = 9.424
sqrt(99) = 9.9498
1.1 × 10^1 = 11
9.099 = 9.099

order is

9.099, 3π, sqrt(99), 10, sqrt(102), 1.1 × 10^1

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Write a linear equation that passes through the two points (-6, -7) and (3, -4).

Phantasy [73]

linear equation that passes through the two points (-6, -7) and (3, -4) is $y=\frac{1}{3}x-5$

Step-by-step explanation:

We need to write the equation that passes through the two points (-6, -7) and (3, -4).

The equation can be written is point slope form.

The standard form of point slope equation is:

$y=mx+b$

where m is the slope and b is the y-intercept

Finding slope m:

Slope can be found by using formula:

$slope = \frac{y_{2}-y_{1}}{x{2}-x_{1}} \\Where\,\, y_{2}=-4,y_{1}=-7,x{2}=3,x_{1}=-6\\slope =\frac{-4-(-7)}{3-(-6)}\\slope=\frac{-4+7}{3+6}\\slope=\frac{3}{9}\\slope=\frac{1}{3}$

So, slope is $\frac{1}{3}$

Now finding y-intercept b

Putting slope $\frac{1}{3}$ and point(-6,-7)

$y=mx+b\\x=-6,y=-7,m=\frac{1}{3} \\-7=\frac{1}{3}(-6)+b\\-7=-2+b\\b=-7+2\\b=-5$

So, value of b is -5

Putting values to find the equation:

$y=mx+b\\m=\frac{1}{3} and b=-5\\y=\frac{1}{3}x-5$

So, linear equation that passes through the two points (-6, -7) and (3, -4) is $y=\frac{1}{3}x-5$

Keywords: Linear Equation,

Learn more about Linear Equation at:

#learnwithBrainly

5 0

3 years ago

Here is a question for you

dimaraw [331]

Answer:

3/8

Step-by-step explanation:

they simply combined the like terms (aka the x numbers in this case) so all that's left is 3/8

6 0

2 years ago

1. A mortgage of $200,000 requires payments of $1395.40 per month at 5.7%

sashaice [31]

Answer:

a) How long will it take to repay the loan?

20 years

b) What amount of interest does the purchase pay?

$134,896

Step-by-step explanation:

a) How long will it take to repay the loan?

In the above question, they are asking you for the Loan duration

The Formula for Loan duration(T) =

ln (- m/(r÷n) × C - m)/In (1 + r/n)

Where:

m = monthly payments = $1395.40

C = Amount of mortgage =$200,000

r = Interest rate = 5.7% = 0.57

n = compounded quarterly = 4

T = ln (- 1395.40/(0.57÷4) × 200,000 - 1395.40)/In (1 + 0.57/4)

T = 20 years.

Therefore, it will take 20 years to repay the Loan.

b) What amount of interest does the purchase pay?

The total number of payments =

Loan duration × Number of months

Number of months = 12 months( because it is monthly payment)

Loan duration = 20 years

Total number of payments = 240 payments.

In the question, we are given the amount paid monthly payment as

$1,395.40

Total amount paid = Monthly payments × Total number of payments

= $1,395.40 × 240

= $334,896

The amount of Interest the purchase pay = $334,896 - $200,000

= $134,896

7 0

3 years ago

Which of these quadrilaterals are rectangles?

VikaD [51]

Answer:Parallelogram, rhombus ,square

Step-by-step explanation:

5 0

3 years ago

A yogurt costs 45p hair many can be bought with £5

valina [46]

5 pound = 500 pence

500 pence/ 45 pence= 11.1111111

5 0

3 years ago