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snow_tiger [21]
3 years ago
10

What is the equation of a line that passes through the points `\left(-2\ ,\ 9\right)`and `\left(-4\ ,\ -4\right)`?

Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
3 0

Answer:

y=(5/2)x+14

Use the slope formula and slope-intercept form y=mx+b to find the equation

You might be interested in
Which expression is equivalent to 4 square root 6 divided by 3 root 2?
saw5 [17]

Answer:

\sqrt[12]{55296}/2

Step-by-step explanation:

\sqrt[4]{6}/\sqrt[3]{2}=1.2422

\sqrt[12]{27}/2=0.66 <-- not matching with the top expression.

\sqrt[4]{24}/2=1.11<--not matching with the top expression.

\sqrt[12]{55296}/2=1.2422<-- matches!!

\sqrt[12]{177147}/3=0.91<-- not matching with the top expression.

5 0
3 years ago
Charlie invests £1200 at 3.5% per annum compound interest.
lbvjy [14]

Answer:

<h2>£1,330.46</h2>

Step-by-step explanation:

Using the compound interest formula A = P(1+\frac{r}{n} )^{nt}

A = amount compounded after n years

P = principal (amount invested)

r = rate (in %)

t = time (in years)

n = time used to compound the money

Given P =  £1200., r = 3.5%, t = 3years, n = 1 year(compounded annually)

A = 1200(1+0.035)^{3}\\ A = 1200(1.035)^{3}\\ A = 1200* 1.108717875\\A = 1,330.46

Value of Charlie's investment after 3 years is £1,330.46

6 0
3 years ago
Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks. At a historical la
Alborosie

Answer:

The number of candles will hold 2 candles

And large candle holder will hold 6 candles.

Step-by-step explanation:

Let the number of candles  small candle holder have x

And the number of candles large candle holder have y

So, according to the information given in the question:

17 small candle holders means 17 x

and 2 large candle holders means 2y

using a total of 46 candles means 17x+2y=46     (1)

Similarly, 8 small candle holders and 2 large candle holders, for a total of 28 candles gives:

8x+2y=28      (2)

We will solve equation (1) and (2) by elimination method:

Subtractijng the two equations we get:

9x=18

\Rightarrow x=2

Substitute x=2 in equation(2) we get:8(2)+2y=28

2y=12

\Rightarrow y=6

So, the number of candles will hold 2 candles

And large candle holder will hold 6 candles.

7 0
3 years ago
What is this problem ?
kvv77 [185]
5^4/5
Multiply the number by it's exponent
625/5
Divide
Final Answer: 125
5 0
3 years ago
Find the dimensions of the rectangle with area 289 square inches that has minimum perimeter, and then find the minimum perimeter
nalin [4]
 <span>To minimize the perimeter you should always have a square. 
sqrt(289) = 17 
The dimensions should be 17 X 17 

To see , try starting at length 1, and gradually increase the length. 
The height decreases at a faster rate than the length increases, up until you reach a square. 

Or if you want to use algebra, Say the width is 17-x 
Then the length is 289/(17-x) 

Now, this is bigger than 17+x, as shown here: 
289/(17-x) > 17+x 
289 > 289 - x^2 
which is true. 
so the perimeter would be bigger than 2 * (17- x + 17 + x) = 2 * (2 * 17) = 4 * 17 

Again, the dimensions should be a square. 17 X 17.</span>
4 0
3 years ago
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