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3 years ago

If AB = 2x–8 and AC = x+9, What is the length of BC?

Mathematics

2 answers:

Virty [35]3 years ago

4 0

Answer:

Step-by-step explanation:

2x-8=x+9

x=17

scZoUnD [109]3 years ago

3 0

ANSWER

BC=17 units

EXPLANATION

The given triangle is an isosceles triangle.

We have

AC=AB

This implies that,

$x + 9 = 2x - 8$

Group similar terms and simplify to get:

$2x - x = 9 + 8$

$x = 17$

Side BC is x units. But x=17

Therefore BC is 17 units.

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3 years ago

Joe can weed the garden twice as fast as his sister Janet. Together they can weed the garden in 2 hours. How long would it take

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3 years ago

Model Exponential Growth Question :A sample of bacteria is growing at a continuously compounding rate. The sample triples in 10

Iteru [2.4K]

Answer:

The number of bacteria $B$ after $d$ days is given by

$B = B_0 (3)^{\frac{1}{10} d}$

where $B_0$ is the initial number of bacteria.

Step-by-step explanation:

The number of bacteria $B$ in the sample triples every 10 days, this means after the first 10th day, the number of bacteria is

$B = B_0 *3,$

where $B_0$ is the initial number of bacteria in the sample.

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$B = (B_0 *3)*3$

after the 3rd day,

$B =( B_0 *3*3)*3$

and so on.

Thus, the formula we get for the number of bacteria after the <em>n</em>th 10-days is

$B = B_0 (3)^n$

where $n$ is is the <em>n</em>th 10-days.

Since, $n$ is 10 days, we have

$d =10n$

$n =\dfrac{1}{10}$

Substituting that into $B = B_0 (3)^n$ , we get:

$\boxed{ B = B_0 (3)^{\frac{1}{10} d}}$

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3 years ago