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3 years ago

Find the point B on AC such that the ratio of AB to BC is 2:3

Mathematics

1 answer:

Virty [35]3 years ago

3 0

Answer:

B(4, - 3 )

Step-by-step explanation:

We have A(2, - 7) and C(7, 3 )

Using the section formula to calculate the coordinates of B

$x_{B}$ = $\frac{3(2)+2(7)}{2+3}$ = $\frac{6+14}{5}$ = $\frac{20}{5}$ = 4

$y_{B}$ = $\frac{3(-7)+2(3)}{2+3}$ = $\frac{-21+6}{5}$ = $\frac{-15}{5}$ = - 3

Hence B(4, - 3 )

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A car that normally sells for $20000 is on sale for $16000 The sales tax is 7.5%

Leno4ka [110]

Answer:

17,200

Step-by-step explanation:

7.5% of 16,000 is 1,200

16,000+1,200=17,200

6 0

2 years ago

Read 2 more answers

In 2003 a town’s population was 1431. By 2007 the population had grown to 2134. Assume the population is changing linearly.How m

sergiy2304 [10]

We will have the following:

First, we will have that the population change by:

$\Delta P=2134-1431\Rightarrow\Delta P=703$

So, the population changed by 703 people.

It took the follwoing number of years to change from 1431 to 2134:

$\Delta y=2007-2003\Rightarrow\Delta y=4$

So, it took 4 years to changes from 1431 to 2134.

$m=\frac{2134-1431}{2007-2003}\Rightarrow m=175.75$

The average population growth per year is of 175.75 people per year.

The population in 2000 would have been:

$P_{2000}=\frac{2000\cdot1431}{2003}\Rightarrow P_{2000}=1428.856715\ldots$

$\Rightarrow P_{2000}\approx1429$

So, the population in 2000 would have been approximately 1429 people.

We will have that the equation for the population would be:

$P=(\frac{2134-1431}{2007-2003})t+1429\Rightarrow P=\frac{703}{4}t+1429$

So, the equation would be:

$P=175.75t+1429$

Now, we predict the number of people of the town in 2014:

$P_{2014}=175.75(14)+1429\Rightarrow P_{2014}=3889.5$

$\Rightarrow P_{2014}\approx3890$

So, there will be approximately 3890 people of the town in 2014.

3 0

1 year ago

Not sure need help

Greeley [361]

29/90 use the hint:)

6 0

3 years ago

The parent function of a graph is f(x) = x2. The graph shifts a units to the left and down b units. Which function models the tr

Gnesinka [82]

<span>C) y = (x + a)2 - b </span>is the answer

8 0

3 years ago

Read 2 more answers

There are 45 new houses being built in a neighborhood. Last month 1/3 of them were sold. This month 2/5 of the remaining houses

polet [3.4K]

Answer:

total=45

1/3+2/5=11/15

remaining fraction of houses=1-11/15

=4/15

reamaimg houses=4/15×45=12houses

7 0

3 years ago