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GarryVolchara [31]
2 years ago
11

Which of the following points does not lie on the line y = -2x +5?

Mathematics
2 answers:
saw5 [17]2 years ago
8 0

Answer:

C (3, 1 )

Step-by-step explanation:

To determine if a point lies on the line, substitute the x- coordinate of the point into the equation and if the value obtained equals the y- coordinate of the point then it lies on the line, otherwise not on line.

A (4 , - 3)

y = - 2(4) + 5 = - 8 + 5 = - 3 ← lies on line

B (- 2, 9 )

y = - 2(- 2) + 5 = 4 + 5 = 9 ← lies on line

C (3, 1 )

y = - 2(3) + 5 = - 6 + 5 = - 1 ≠ 1 ← not on line

D (- 1, 7 )

y = - 2(- 1) + 5 = 2 + 5 = 7 ← lies on line

E (2, 1 ) = - 2(2) + 5 = - 4 + 5 = 1 ← lies on line

Thus (3, 1 ) does not lie on the line → C

igor_vitrenko [27]2 years ago
6 0

Answer:

C and E are not on the line.

Step-by-step explanation:

Just substitute for the x and the y and see which ordered pair fits and which does not:

If Left side of the equation = right side then the point fits.

A.   y = -3

-2x+5 = -2(4) + 5 = -3  So A is on the line

B. y = 9

-2(-2) + 5 = 9 So this point does lie on the line.

C. y = 1

-2(3) + 5 = -1   No.

D. y = 7

-1(-1) + 5 = 7  YES.

E. y = 1

-2(1) + 5 = 3 NO.

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LenaWriter [7]

Answer: 27/36

Step-by-step explanation: It says there are 36 bikes (18 pairs), meaning that there are 2 bikes per pair because 18 multiplied by 2 is 36.

1 pair (2 bikes) are yellow.

3 pairs (6 bikes) are red.

For purple, add yellow and red together: 2 + 6 = 8. Subtract the total number of bikes from this: 36 - 8 = 28 purple bikes.

If you take out 1 purple bike, this leaves you with 27. The probability of choosing a purple bike out of the total (36), is 27/36.

Please let me know if this is correct or wrong.

8 0
3 years ago
Bacteria vary somewhat in size, but a diameter of 1.5 μ m is not unusual.
Dmitrij [34]

Answer:

a) 1.8 × 10^-12 cm³ or 1.8 × 10^-12 cubic meters

b) 7.1 × 10^-6 mm² or 7.1 × 10^-6 square millimeters

Step-by-step explanation:

a) We are assuming that the shape of the bacteria is a sphere.

Hence, Volume of the Sphere(Bacteria) = 4/3 × π × r³

Diameter = 1.5 μm

Radius = Diameter/2 = 1.5μm/2

= 0.75μm

We are told that the volume should be in cubic centimeters

Converting 0.75μm to centimeters

1 μm = 1 × 10^-4 cm

0.75 μm =

Cross Multiply

= 0.75 μm × 1 × 10^-4 cm/ 1 μm

= 0.000075cm

Volume of the Sphere(Bacteria) = 4/3 × π × r³

= 4/3 × π × (0.000075)³

= 1.767145867 × 10^-12 cm³

Approximately as 2 significant figures = 1.8 × 10^-12 cm³

b) The formula for the Surface area of a Sphere = 4πr²

Diameter = 1.5 μm

Radius = Diameter/2 = 1.5μm/2

= 0.75μm

We are told that the surface area should be in square millimeters

Converting 0.75μm to millimeters

1 μm = 0.001 mm

0.75 μm =

Cross Multiply

= 0.75 μm ×0.001mm/ 1 μm

= 0.00075mm

Surface Area of a Sphere

= 4 × π × r²

= 4 × π × 0.00075²

= 7.06858 ×10^-6 mm²

Approximately to 2 significant figures

= 7.1 × 10^-6 mm²

6 0
3 years ago
The product of two consecutive positive integers is 132. What are the integers?
alina1380 [7]

Answer:

The integers are 11 and 12

Step-by-step explanation:

11 and 12 are consecutive positive integers, and 11 x 12 = 132.

5 0
3 years ago
If C = 1+ p2 + 3p and B = 2p + 6p, find an expression that equals 2C – – B in
drek231 [11]

Answer:

2p² + 14p + 2

Step-by-step explanation:

Given that;

C= 1+p²+3p

B=2p+6p

The expression that equals to : 2C - -B will be;

2{1+p²+3p} - {-2p-6p}

2+2p²+6p + 2p + 6p

2p² + 6p +2p +6p +2

2p² + 14p + 2

4 0
2 years ago
Which number line represents the solution set for the inequality –4(x + 3) ≤ –2 – 2x?
Delicious77 [7]

Answer:

–4(x + 3) ≤ –2 – 2x

>>.....-4x -12 ≤ -2 -2x

>>  -12 +2 ≤ +2x  

>> - 10 ≤ 2x

>> -5 ≤ x............>> x >= -5  

Step-by-step explanation:

you didn't post any number lines...

3 0
3 years ago
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