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3 years ago

Make a the subject of the formula r = square root a/3

Mathematics

1 answer:

Goshia [24]3 years ago

3 0

Answer:

Assume that the expression is:

r = √(A)/3

Multiply both sides by 3:

3r = √(A)

Finally, square both sides to get:

A = (3r)²

= 9r²

I hope this helps!

Step-by-step explanation:

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Please help me answer the question

Rufina [12.5K]

Answer:

y=-x+2

Step-by-step explanation:

The slope-intercept form is y=mx+b where m is the slope and b is the y-intercept.

From the graph, we can see that the y-intercept is at (0,2) so the equation becomes y=mx+2.

Other points on the graph include (1,1) and (2,0). Plugging (1,1) into the slope-intercept equation, we get 1=(m)1+2. Solving this will give us m=-1.

We can confirm this by plugging m=-1 into the equation along with the point (2,0); 0=(-1*2)+2. It checks out!

So our final equation in slope-intercept form will be y=-x+2

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3 years ago

Help me please. I’m getting frustrated. I keep writing out the equation wrong and don’t know where I’m messing up Write all solu

MrMuchimi

Answer:

Infinite Solutions

Step-by-step explanation:

If you distribute the left side of the expression, you will get 3y -32, which is exactly the same as the right side of the equation. Since both lines are the same, that means that they have an infinite amount of solutions. Therefore, the 4th choice is correct.

3 0

3 years ago

Read 2 more answers

Which inequality represents the phrase below?

Greeley [361]

Answer:

Step-by-step explanation:

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3 years ago

The area of rectangular field is (49m2-42m+9).Find the dimensions of the field

Drupady [299]

Answer:

The dimensions are (7m-3) by (7m-3)

Step-by-step explanation:

We have the area of the rectangular field to be:

$49 {m}^{2} - 42m + 9$

We need to factorize this expression.

Let us rewrite to obtain:

${(7m)}^{2} - 2(7 \times 3)m + {3}^{2}$

We can easily see that the expression is actually a perfect square trinomial.

This gives us:

$(7m - 3)^{2}$

$(7m - 3)(7m - 3)$

6 0

3 years ago

Henry buys a large boat for the summer, however he cannot pay the full amount of $32,000 at

Anna007 [38]

Answer:

Monthly payments=$418.14

Total amount will be=down payment + 48×$418.14

$14000+$20070.84=$34070.84

Step-by-step explanation:

Loan payment per month=Amount to pay÷discount factor

Mathematically P=A÷D

where D is the discount factor calculated using the formula;

$\frac{(1+i)^n-1}{i(1+i)^n}$

where i=periodic interest rate=annual rate divided by number of payment periods

A is the amount to pay after downpayment

P is the loan monthly payment amount

n=number of periodic payments=payments per year times number of years

⇒In this question you find the discount factor then divide the amount remaining to pay with the discount factor to get monthly payments

Given;

Cost of boat=$32000

Down payment=$14000

Loan to pay=$32000-$14000=$18000

Annual rate=5.5%=i=5.5%÷12=0.458%⇒0.00458

Periodic payments, n=4×12=48

Finding the discount factor D;

$D=\frac{(1+i)^n-1}{i(1+i)^n} \\\\\\D=\frac{(1+0.00458)^{48} -1}{0.00458(1+0.00458)^{48} } \\\\\\D=\frac{1.2455-1}{0.005703} \\\\\\D=\frac{0.2455}{0.005703} =43.05$

To get the amount to pay monthly divide the loan to pay with the discount factor

$=\frac{18000}{43.05} =418.14$

Monthly payments=$418.14

Total amount will be=down payment + 48×$418.14

$14000+$20070.84=$34070.84

8 0

3 years ago