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3 years ago

P and q are points on the line 2y-5x=10

Mathematics

1 answer:

schepotkina [342]3 years ago

7 0

Answer:

$2y-5x =10\\when \ x = 0, \ 2y = 10 => y = 5\\\\\\when \ y = 0, -5x =10 => x =-2\\\\Therefore \ the \ coordinates \ of \ the \ points \ p \ and \ q\ are \ (0, 2) \ and \ (-2, 0)$

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Find the equivalent fraction to next expression 3b^2 + 2(a+5.4b) -2.4b + 1.5a - 2b^2 a 2b2 + 3.5a + 8.4 b b b2 +3.5a + 8.4b c 2b

Neporo4naja [7]

Answer:

b²+3.5a+8.4b

Step-by-step explanation:

Given the expression

3b^2 + 2(a+5.4b) -2.4b + 1.5a - 2b^2

Expand

3b^2 + 2a+10.8b -2.4b + 1.5a - 2b^2

Collect the like terms

= 3b²-2b²+2a+1.5a+10.8b-2.4b

= b²+3.5a+8.4b

Hence the equivalent expression is b²+3.5a+8.4b

7 0

3 years ago

What is the distance, to the nearest whole number, from K(5,6) to P(1,-4)

yarga [219]

Answer:

The distance between the two points is approximately 11 units

Step-by-step explanation:

Here, we are to give the distance between the given two points to the nearest whole number;

To calculate the distance, we shall be using the distance formula;

D = √(x2-x1)^2 + (y2-y1)^2

(x1,y1) = (5,6)

(x2,y2) = (1,-4)

D = √(1-5)^2 + (-4-6)^2

D = √((-4)^2 + (-10)^2

D = √(16+100)

D = √(116)

D = 10.77 units which is approximately 11 units

8 0

3 years ago

Simplify.<br><br> −6x+8/6−3/2x−1/2+5/2x

mario62 [17]

Answer:

Okay!

Step-by-step explanation:

5 (6x - 1)

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

8 0

3 years ago

Read 2 more answers

Put the numbers in order from least to greatest.

koban [17]

Answer:

$0.5\times{10}^{-5}$ ,

0.00025,

$3.5\times{10}^{-4}$ ,

$1.45 \times {10}^{-3}$ ,

$25.4 \times {10}^{ - 4}$ ,

0.025,

$1.25\times {10}^{-1}$ ,

$0.025 \times10$

Step-by-step explanation:

We can do it this way.

First, let us clear off the powers by multipying each number by

${10}^{5}$

This implies that,

$1.25 \times {10}^{ - 1} = 1.25 \times {10}^{ - 1} \times {10}^{5}$

$\implies \: 1.25 \times {10}^{ - 1} = 125 \times {10}^{ - 2} \times {10}^{ - 1} \times {10}^{5}$

$\implies \: 1.25 \times {10}^{ - 1} =125 \times {10}^{( - 2 - 1 + 5)}$

$\implies \: 1.25 \times {10}^{ - 1} =125 \times {10}^{2}= 125 \times 100 = 12500$

$0.00025 = 25 \times {10}^{ - 5} \times {10}^{5}$

$\implies0.00025 = 25 \times {10}^{ - 5 + 5} = 25$

$0.025 = 25 \times {10}^{ - 3}=25 \times{10}^{ - 3}\times {10}^{5}$

$\implies0.025 = 25 \times {10}^{ - 3}=25 \times{10}^{ - 3 + 5}$

$\implies0.025 = 25 \times {10}^{ - 3}=25 \times{10}^{2} = 25 \times 100 = 2500$

$0.025 \times 10=25 \times {10}^{ - 3} \times10 \times {10}^{5}$

$\implies0.025 \times10=25\times{10}^{(- 3 + 1 + 5)}=25\times{10}^{3}$

$\implies0.025\times10=25\times1000 = 25000$

$0.5\times {10}^{-5}=0.5\times {10}^{ - 5} \times {10}^{5}$

$0.5\times{10}^{-5}=0.5\times {10}^{(- 5+5)}=0.5$

$1.45 \times {10}^{-3} = 145 \times {10}^{ - 2} \times {10}^{ - 3} \times {10}^{5}$

$\implies1.45 \times {10}^{-3} = 145$

$25.4 \times {10}^{ - 4} = 254 \times {10}^{-1} \times {10}^{ - 4} \times {10}^{5}$

$\implies25.4 \times {10}^ {-4} = 254$

$3.5 \times{10}^{-4}=35 \times {10}^{-1} \times {10}^{ - 4} \times {10}^{5}$

$\implies3.5 \times{10}^{-4}=35$

Arranging in order from the smallest, we have;

0.5,25,35,145,254,2500,12500,25000

Hence,

$0.5\times{10}^{-5}$ ,

0.00025,

$3.5\times{10}^{-4}$ ,

$1.45 \times {10}^{-3}$ ,

$25.4 \times {10}^{ - 4}$ ,

0.025,

$1.25\times {10}^{-1}$ ,

$0.025 \times10$

5 0

3 years ago

A point of symmetry is a point around which a shape can be rotated without changing any of its characteristics. A. True B. False

frozen [14]

Answer:

The answer is A. True

Step-by-step explanation:

7 0

3 years ago