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Degger [83]
3 years ago
6

Solve the equation 2x-4=20

Mathematics
1 answer:
Marianna [84]3 years ago
3 0

Answer:

x=12

Step-by-step explanation:

2x-4=20

   +4  +4

2x+24

2x ÷2

24÷2=12

Therefore, x=12

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Determine the difference: 3.2 × 1010 – 1.1 × 1011 Write your answer in scientific notation.
tekilochka [14]

Answer:

-7.8*10^{10}

Step-by-step explanation:

we have

3.2*10^{10} -1.1*10^{11}

we know that

3.2*10^{10}=0.32*10^{11}

substitute

0.32*10^{11} -1.1*10^{11}=-0.78*10^{11}=-7.8*10^{10}

4 0
3 years ago
Please help me solve 5 and 6 for my homework
defon

Answer:

(5) The perpendicular height of the triangle is 8.48 mm.

(6) The 1184.86 cm far up the wall the ladder reach.

Step-by-step explanation:

Part (5):

When a perpendicular is drawn in an isosceles triangle then the perpendicular divided the base into 2 equal parts.

The figures is shown below.

In ΔABC,

CB = 6 mm

So,

CD = BD = 3 mm

Now calculating the perpendicular height of the triangle.

Using Pythagoras theorem in ΔADC:

(AC)^2=(CD)^2+(AD)^2\\\\(9)^2=(3)^2+(AD)^2\\\\81=9+(AD)^2\\\\(AD)^2=81-9\\\\(AD)^2=72\\\\AD=8.48mm

Thus, the perpendicular height of the triangle is 8.48 mm.

Part (6):

The figure is shown below.

Converting meter to centimeter:

1 m = 100 cm

So,

12 m = 1200 cm

Using Pythagoras theorem in ΔXYZ:

(XZ)^2=(YZ)^2+(XY)^2\\\\(1200)^2=(190)^2+(XY)^2\\\\1440000=36100+(XY)^2\\\\(XY)^2=1440000-36100\\\\(XY)^2=1403900\\\\XY=1184.86cm

Thus, 1184.86 cm far up the wall the ladder reach.

4 0
3 years ago
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Step-by-step explanation:

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Y=4+2x
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3 years ago
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