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serious [3.7K]
3 years ago
6

Simplify to create to an equivalent expression 8k−5(−5k+3)

Mathematics
2 answers:
Alexeev081 [22]3 years ago
6 0

Answer:

33k - 15

Step-by-step explanation:

=> 8k-5(-5k+3)

=> 8k+25k-15

=> 33k - 15

Reika [66]3 years ago
3 0

Answer:

33k - 15

Step-by-step explanation:

8k - 5 (-5k + 3) distribute the -5 into the parenthesis

8k + 25k - 15 then add the 8 and 25

33k - 15. Answer

Hope my answer has helped you and if not I am sorry.

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3 years ago
Prove that the triangle EDF is isosceles. Give reasons for your answer.
Gekata [30.6K]

Answer:

\triangle EDF is isosceles.

Step-by-step explanation:

Please have a look at the attached figure.

We are <u>given</u> the following things:

\angle EDF = y

\text{External }\angle DFG = 90 +\dfrac{y}{2}

Let us try to find out \angle E and \angle DFE. After that we will compare them.

<u>Finding </u>\angle DFE<u>:</u>

Side EG is a straight line so \angle GFE = 180

\angle GFE is sum of internal \angle DFE and external \angle DFG

\angle GFE = 180 = \angle DFE  + \angle DFG\\\Rightarrow 180 = \angle DFE + (90+\dfrac{y}{2})\\\Rightarrow \angle DFE = 180 - 90 - \dfrac{y}{2}\\\Rightarrow \angle DFE = 90 - \dfrac{y}{2} ....... (1)

<u>Finding </u>\angle E<u>:</u>

<u>Property of external angle:</u> External angle in a triangle is equal to the sum of two opposite internal angles of a triangle.

i.e. external \angle DFG = \angle E + \angle EDF

\Rightarrow 90+\dfrac{y}{2} = \angle E + y\\\Rightarrow \angle E = 90+\dfrac{y}{2}  -y\\\Rightarrow \angle E = 90-\dfrac{y}{2} ....... (2)

Comparing equations (1) and (2):

It can be clearly seen that:

\angle DFE = \angle E =90-\dfrac{y}{2}

The two angles of \triangle EDF are equal hence \triangle EDF is isosceles.

8 0
3 years ago
A book is on sale for $6 off of the regular $24 price. What percent is the discount?
Vika [28.1K]
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Read 2 more answers
Wanna be the Brainiest
masha68 [24]

Answer:

156cm^3

Step-by-step explanation:

V= 1/2 a*c*h

a=3

c=8

h=13

3*8*13=312

312/2=156

5 0
3 years ago
The first five terms of a sequence are 2, 5/3, 3/2, 7/5 and 4/3. what is the explicit formula?
katen-ka-za [31]

Answer:

  an = (n+3)/(n+1)

Step-by-step explanation:

The sequence can be written as ...

  4/2, 5/3, 6/4, 7/5, 8/6, ...

where the first numerator is n+3 and the first denominator is n+1. Each numerator and denominator increase by 1 from term to term, so the explicit formula can be written

  an = (n+3)/(n+1)

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3 years ago
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