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satela [25.4K]
3 years ago
6

Segment AE is a median for Triangle ABC.

Mathematics
1 answer:
Shalnov [3]3 years ago
4 0

Step-by-step explanation:

BC = BE + CE...(\because B-E-C)  \\  \\  \therefore \: BC = 3x - 5 + x + 1 \\  \\ \therefore \: BC = 4x - 4 \\  \\  \huge \red{ \boxed{ \therefore \: BC = 4(x - 1)}}

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1/(x+4)(x-2)(x-5) excluded values
UNO [17]

Answer:

see explanation

Step-by-step explanation:

The excluded values are any values of x that make the function undefined

Given

\frac{1}{(x+4)(x-2)(x-5)}

The denominator of the rational function cannot be zero as this would make it undefined. Equating the denominator to zero and solving gives the values that x cannot be.

(x + 4)(x - 2)(x - 5) = 0

Equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

x - 2 = 0 ⇒ x = 2

x - 5 = 0 ⇒ x = 5

x = - 4, x = 2, x = 5 are the excluded values

4 0
3 years ago
Amanda and her group of friends spent a total of $35.50 on 7 hot dogs and 6 cheese burgers. Greg and his group of friends spent
Alexeev081 [22]
7h + 6b = 35.50
5h + 6b = 30.50

The difference between the 2 totals spent is $5, and there were the same number of burgers, but 2 fewer hotdogs. So $5/2 = $2.50, the cost of a hot dog. Substitute that into the equations to solve for burgers (b)

5(2.50) + 6b = 30.50
12.50 + 6b = 30.50
6b = 18
b = 3

Check the work:
7(2.50) + 6(3) =
17.50 + 18 = 35.50
8 0
3 years ago
How do you do: -6(6a-5)=-2(8-5a)
devlian [24]

Answer:

a = 1

Step-by-step explanation:

1. distribute the -6 on the left into the parentheses. you should get -36a + 30.

2. on the side right of the =, distribute the -2 to get -16 + 10a.

now it should look like -36a + 30 = -16 + 10a.

3. move the terms over to isolate the a value. subtract 30 to the right side to get -46 (-36a=-46+10a)

4. move the 10a on the right to the left by subtracting it to the other side.

(-46a=-46)

5.divide by -46 to get a=1

7 0
3 years ago
Every spring the grade four students play the grade five students in softball. The graph shows their scores.
bezimeni [28]

Answer:

B

Step-by-step explanation:

3 0
3 years ago
How many different 6-letter arrangements are possible using the letters in ALTUVE?
marshall27 [118]

The answer is 32 because there are 5 in the actual one

6 0
3 years ago
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