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ololo11 [35]
3 years ago
11

In triangle ABC, W is the centroid and BE = 9. Find BW.

Mathematics
2 answers:
Nana76 [90]3 years ago
7 0
B. 6
Since 3 is too short and we know BW is longer than WE
pantera1 [17]3 years ago
5 0
B. 6 thatsjennsvsuskwnsbbdhdd
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What goes where. JdhshshHshxjancixd
valentina_108 [34]

Answer:

\boxed { \frac{7}{5}y } \to \: \boxed {y+ \frac{2}{5}y }

\boxed { \frac{3}{5}y } \to \: \boxed {y -  \frac{2}{5}y }

Step-by-step explanation:

We need to simplify

y +  \frac{2}{5}y

We collect LCM to get;

\frac{5y + 2y}{5}  =  \frac{7y}{5}

Therefore:

\boxed { \frac{7}{5}y } \to \: \boxed {y+ \frac{2}{5}y }

Also we need to simplify:

y -  \frac{2}{5}y

We collect LCM to get;

y -  \frac{2}{5}y =  \frac{5y - 2y}{5}  =  \frac{3}{5} y

Therefore

\boxed { \frac{3}{5}y } \to \: \boxed {y -  \frac{2}{5}y }

5 0
4 years ago
Jimmy invest $16,000 in an account that pays 7.03% compounded quarterly. How long (in years and months) will it take for his inv
Vladimir [108]
To solve this we are going to use the compound interest formula A=P(1+ \frac{r}{n})^{nt}
where:
P is the investment
r is the interest rate in decimal form
n is the number of times the interest is compounded per year
t is the time in years
A is the amount after t years 

First, lets convert the interest rate to decimal dividing it by 100%:
r= \frac{7.03}{100} =0.0703
Next, lets find n. Since we know that the interest is compounded every 4 months (quarterly), it will be compounded \frac{12}{4} =3 times in a year, so n=4.
We also know that A=23000 and P=16000, so lets replace all the quantities into our compound interest formula:
25000=16000(1+ \frac{0.0703}{3})^{3t}
25000=16000(1.0234)^{3t}

Notice that the the number of years t is in the exponent, so we have to use logarithms to bring it down. But first lets divide both sides by 16000 to isolate the  exponential expression:
\frac{25000}{16000} =(1.0234)^{3t}
(1.0234)^{3t} = \frac{25}{16}
ln(1.0234)^{3t} =ln( \frac{25}{16} )
t= \frac{ln( \frac{25}{16}) }{3ln(1.0234)}
t=6.43

Now that we know t=6.43, the last thing to do is convert 0.43 years to months:
(0.43 years)( \frac{12months}{1year} )=5.16months

We can conclude that Jimmy's investment will take 6 years and 5 months to reach $25,000.
6 0
3 years ago
5/14 divided by 3/4, what's the answer
DiKsa [7]
Rule:  (a/b)/(c/d)=(a/b)*(d/c)

(5/14)/(3/4)

(5/14)(4/3)

(5*4)/(14*3)

20/42

10/21
3 0
4 years ago
Read 2 more answers
A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the
Kisachek [45]

Answer:28.25

Step-by-step explanation:

Equation is: y = - 2x^2 + 113x - 497

In order to find out maximum of X, first step is to take derrivative of the function y = - 2x^2 + 113x -497.

When we do that, derrivative function is:

dy/dx = - 2 * 2 x + 113 * 1 = - 4x +113

At the maximum point derrvative function equals to zero.

So, - 4x + 113 = 0

-4x = -113

x = 28.25

So, the selling price should be 28.25

7 0
3 years ago
Read 2 more answers
Use distributive property to factor method 1. Use distributive property to expand method 2.
sasho [114]

Step-by-step explanation:

I guess method 1 means to deal with whole factors.

x + 5 = (x - 2)(x + 5)

for (x + 5) <> 0 we can divide both sides by this factor :

1 = x - 2

x = 3

for the second solution we deal with

x + 5 = 0

x = -5

so, for x = -5 and x = 3 both functions deliver the same output, and these are the intersection points.

method 2 : we multiply the expression out and solve it then

x + 5 = (x - 2)(x + 5)

x + 5 = x² + 5x - 2x - 10 = x² + 3x - 10

0 = x² + 2x - 15

the general solution to such a square equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = 2

c = -15

x = (-2 ± sqrt(2² - 4×1×-15))/(2×1) =

= (-2 ± sqrt(4 + 60))/2 = (-2 ± sqrt(64))/2 = (-2 ± 8)/2 =

= -1 ± 4

x1 = -1 + 4 = 3

x2 = -1 - 4 = -5

and you get the 2 solutions again. as expected, they are the same as with method 1, of course.

4 0
2 years ago
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