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son4ous [18]
2 years ago
15

If x is the midpoint of wy, wx =3x-1and wy =10x-26 find xy

Mathematics
1 answer:
Firlakuza [10]2 years ago
4 0

Answer:

The length of XY is 17

Step-by-step explanation:

Given that X is midpoint of line WY

WX=3x-1

WY=10x-26

To find XY:

Given WY is straight line and X is midpoint of line WY

We can write as

WX+XY=WY

(3x-1)+XY=(10x-26)

XY=7x-25

Also, WX=XY

(3x-1)=(7x-25)

-1+25=7x-3x

4x=24

x=6

The length of XY is 7x-25=7(6)-25=42-25=17

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Crude oil Imports to one country from another for 2009-2013 could be approximated by the following model where t is time in year
Mashutka [201]

Answer:

  • Time = approximately mid 2012
  • Oil import rate = 3600 barrels

Step-by-step explanation:

<h3><em>Unclear part of the question</em></h3>
  • I(t) = −35t² + 800t − 1,000 thousand barrels per day (9 ≤ t ≤ 13)
  • According to the model, approximately when were oil imports to the country greatest?  t =  ?
<h3>Solution</h3>

Given the quadratic function  

  • <em>The vertex of a quadratic function is found by a formula: x = -b/2a</em>

<u>As per given function:</u>

  • b = 800, a = -35

<u>Then</u>

  • t = - 800/2*(-35) = 11.43 which is within given range of 9 ≤ t ≤ 13

This time is approximately mid 2012.

<u>Considering this in the function, to get oil import rate for the same time:</u>

  • l(11.43) = -35*(11.43)² + 800*11.43 - 1000 = 3571.4285

<u>Rounded to two significant figures, the greatest oil import rate was</u>:

  • 3600 barrels

7 0
2 years ago
Kayla has 24 yellow beads and 36 green beads a. what is the greatest number of necklaces she could make? b. how many yellow bead
creativ13 [48]
She can make 6 necklaces and these will be 4 yellow and 6 green on each necklace
7 0
2 years ago
D(-3+x)=kx+9 solve for x
Gnesinka [82]

d(-3 + x) = kx + 9

  • Distribute d inside the parentheses.

-3d + dx = kx + 9

  • Subtract kx from both sides.

-3d + dx - kx = 9

  • Add 3d to both sides.

dx - kx = 9 + 3d

  • Factor x out of dx - kx.

x(d - k) = 9 + 3d

  • Divide both sides by d - k.

x = \frac{9+3d}{d-k}

  • If you want to simplify this even more, factor 3 out of the numerator.
<h3>x = \frac{3(d + 3)}{d-k}</h3>
5 0
2 years ago
Gina is buying bags of apples at the grocery store. Each bag of apples has five apples in it. Which equation shows the relations
Nadya [2.5K]

Answer:

y=5x

Step-by-step explanation:

Given no of bags is x

No of apples in each bag is 5

Thus no of apples in x bags can be obtained by multiplying no of bags(x in this case)   with No of apples in each bag  (5 in this case).

Total no of apples in x bag = 5*x = 5x

As y represent relationship between number of apples and bag. 5x will be equal to y.

it can be represented as y = 5x

Thus equation A y=5x   shows the relationship between the number of apples, y, and the number of bags, x

6 0
2 years ago
Assume that triangle GHI is congruent to LMN. Which of the following congruence statement are correct? check all that apply
Airida [17]
If two triangles are congruent, then they have equal corresponding angles and also the sides.
Therefore, if GHI is congruent to LMN, then GH =LM, HI=MN and GI=LN, and also angle G=angle L, Angle H=angle M, while angle I = angle N, therefore the correct answers is a) ∠M= ∠H, c) ∠L=∠G. and e)IH=NM. 
5 0
2 years ago
Read 2 more answers
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