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sergey [27]
3 years ago
15

The equation for line t can be written as y = 4x - 8. Line u, which is perpendicular to line t,

Mathematics
1 answer:
xeze [42]3 years ago
8 0

Here, we are required to determine the equation of the line u which is perpendicular to the line t and passes through the point (8,8).

The equation of the line u is;. y = (-x/4) + 10.

First, the product of the slope of 2 perpendicular lines is negative 1 i.e -1.

M1 × M2 = -1

From observation, the slope of line t given by y = 4x - 8 is equal to 4.

  • Therefore, since M1 = 4,
  • Then, M2 = -1/4

To get the equation of a line,

Slope, M2 = (y - y1)/(x - x1)

where M2 = -1/4 , y1 = 8 and x1 = 8.

Therefore, -1/4 = (y - 8)/(x - 8).

Therefore, -x + 8 = 4y -32

Therefore, 4y = -x + 40.

Ultimately, the equation of the line u is ;

y = (-x/4) + 10.

Read more:

brainly.com/question/19506739

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Geometry, plz help!
astra-53 [7]

Answer:

17. surface area ≈ 441.84

04π m² or  1387.38  m²

18. Ratio of volumes = 8/27

19. volume of the smaller solid = 339 yards³

Step-by-step explanation:

17 .

To find the surface area of the sphere we have to find the radius of the sphere first.

volume of a sphere = 4/3πr³

volume = 1548π m³

r = ?

volume of a sphere = 4/3πr³

1548π = 4/3 × π × r³

multiply both sides by 3/4

1548π × 3/4 = πr³

4644π/4 = πr³

1161π = πr³

divide both sides by π

r³ = 1161

cube root both sides

r = ∛1161

r = 10.5101942

r ≈ 10. 51

surface area of a sphere = 4πr²

surface area = 4 × π × 10.51²

surface area = 4 × 110.4601  × π

surface area = 441.8404π m²  

surface area = 441.8404 × 3.14 = 1387.378856  m² ≈ 1387.38 m²

18

If two figure or solid are similar with scale factor or ratio of x/y then the ratio of their volume is (x/y)³. If the ratio of of two similar prism is 2 : 3 the volume will be (2/3)³ = 8/27 .

19

If two solids are similar then the ratio of their surface area is the squared of the scale factor.

121/361 = (x/y)²

square root both sides

x/y = 11/19

If two solids are similar then the ratio of their volume is the cube of the scale factor.

(11/19)³ = a/1747

1331/6859  = a/1747

cross multiply

6859a = 2325257

divide both sides by 6859

a = 2325257/6859

a = 339.008164455

a ≈ 339 yards³

volume of the smaller solid ≈ 339 yards³

4 0
3 years ago
I’m so confused! Can someone help me with this? Please and thank you!
ludmilkaskok [199]

Answer:

D.

Step-by-step explanation:

1) the domain is x∈[0;+∞);

2) the solution is:

\sqrt{x}\leq 10; \ => \ x\leq 100;

3) finally, the solution with the domain is:

x∈[0;100].

7 0
2 years ago
Thank u :)!! for the help
Simora [160]

Answer:

$0.75

Step-by-step explanation:

Consider any one of the values given in the table.

Cost of 5 tickets = $3.75

So, cost of 1 ticket

= $3.75/5

= $0.75

Verification:

Verify the answer by other values.

Cost of 10 tickets = $7.50

So, cost of 1 ticket

= $7.50/10

= $0.75

Cost of 15 tickets = $11.25

So, cost of 1 ticket

= $11.25/15

= $0.75

Cost of 20 tickets = $15.00

So, cost of 1 ticket

= $15.00/20

= $0.75

The cost of 1 ticket is same in all cases.

Hence, verified.

5 0
3 years ago
Convert the following unsigned binary number to unsigned decimal.<br><br> 110011.101
tangare [24]

Answer:

51.625

Step-by-step explanation:

Given a unsigned binary number, to calculate the unsigned decimal:

first, starting at dot, you list the positive powers of 2 from right to left beginning in 2^{0}  that is equal to “1”.  Increase by one the exponent in every power until you complete the total quantity of digits from the unsigned binary number. In this case, since dot to the left, the binary number has six digits (110011). That is to say that you get the followings powers: 2^{5}  2^{4}  2^{3} 2^{2}  2^{1}  2^{0}.

Second, do the same from dot to the right but this time, you list the negative powers of 2 from left to right beginning in 2^{-1} that is equal \frac{1}{2} = 0.5. so you get:    2^{-1}  2^{-2}  2^{-3}

Now, join two parts and you get:

2^{5}      2^{4}     2^{3}      2^{2}      2^{1}       2^{0}    2^{-1}      2^{-2}      2^{-3}

1        1       0       0       1       1.        1        0        1

Then, you write the equivalent of each of the power below from corresponding binary digit, like that:

2^{5}      2^{4}     2^{3}      2^{2}      2^{1}       2^{0}    2^{-1}      2^{-2}      2^{-3}

1        1       0       0       1       1.        1        0        1

|         |        |         |        |        |         |         |         |  

32    16      8       4       2       1       0.5   0.25   0.125  

Finally, you write under the line the equivalent of each power that corresponding to “1” and write “0” under the line, the one that corresponding to “0”, and you sum each one of finals values. Like that:

2^{5}      2^{4}     2^{3}      2^{2}      2^{1}       2^{0}    2^{-1}      2^{-2}      2^{-3}

1        1       0       0       1       1.        1        0        1

|         |        |         |        |        |         |         |         |  

32    16      8       4       2       1       0.5   0.25   0.125  

_______________________________________  

32    16      0       0       2       1       0.5     0      0.125  

32 + 16 + 0 + 0 + 2 + 1 + 0.5+ 0 + 0.125 = 51.625

So that the equivalent from unsigned binary number 110011.101 to unsigned decimal is 51.625

5 0
4 years ago
Eric paints 8 rooms in 3 days for 600$ about how many rooms could Eric paint in 6 days?
Marianna [84]

Answer:

16 rooms

Step-by-step explanation:

8 0
3 years ago
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