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lys-0071 [83]
3 years ago
5

Simplify the following expression -2(4-4n)+6n

Mathematics
2 answers:
NeX [460]3 years ago
8 0

Answer:

-8 + 14n

Step-by-step explanation:

-2(4-4n)+6n

Distribute the -2

-8 +8n+6n

Combine like terms

-8 + 14n

mariarad [96]3 years ago
6 0
-8 + 8n + 6n
-8 + 14n as your answer as the negative 2 can be distributed and flips negatives
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Which number line shows the solution to the inequality -3x - 5 < -2 ?
Inessa05 [86]
The answer to his is A
3 0
3 years ago
U divided by 25 =13 please do step by step and show work thanks :))
Anna71 [15]
Answer U/25=13
             U=13 divided 1/25
             U=13 multiply 25
             U=325
6 0
3 years ago
A 5-meter ladder is leaning against the side of a house. The foot of the ladder is pulled away from the house at a rate of 0.4 m
Flura [38]
<h2>The top of the ladder is descending at 0.3 m/s.</h2>

Step-by-step explanation:

By Pythagoras theorem we know that

              Hypotenuse² = Base² + Perpendicular²

                   h² = b² + p²

We have for ladder

                        h = 5 m

                        b = 3 m

                        5² = 3² + p²

                        p = 4 m

                        \frac{db}{dt}=0.4m/s\\\\\frac{dh}{dt}=0

Differentiating h² = b² + p² with respect to time

                    2h\times \frac{dh}{dt}=2b\times \frac{db}{dt}+2p\times \frac{dp}{dt}\\\\5\times 0=3\times 0.4+4\times \frac{dp}{dt}\\\\\frac{dp}{dt}=-0.3m/s

The top of the ladder is descending at 0.3 m/s.

3 0
3 years ago
Two Aps have the same first and last terms .The first Ap has 21 terms with a common difference of nine how many terms has the ot
Pani-rosa [81]

Answer:

46 terms

Step-by-step explanation:

a₁=b, a₂₁= bₙ, d₁=9, d₂=4

n=?

---------------

a₂₁= a₁+20d₁= a₁+20*9= a₁+180

bₙ= b₁+(n-1)d₂= a₁+4(n-1)

a₁+4(n-1)=a₁+180

4(n-1)=180

n-1= 180/4

n-1= 45

n=46

7 0
3 years ago
A hexagonal pyramid is cut by a plane as shown in the diagram. What is the shape of the resulting cross section? see diagram
Alenkasestr [34]

From the diagram you can see that plane cuts each lateral face of hexagonal pyramid and do not cut the base. A hexagonal pyramid has six lateral faces. The intersection of each of these lateral faces with given cutting plane is segment. The figure which consists of these segments is hexagon. This hexagon is not the same as base and even is not similar to the base because the cutting plane is not parallel to the base.

Answer: resulting cross section is a hexagon, correct choice is option 4.

9 0
4 years ago
Read 2 more answers
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