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scoray [572]
3 years ago
13

What is the equation of the line that passes through (-2,4) (-6,10)

Mathematics
1 answer:
Nata [24]3 years ago
7 0

Answer:

\large\boxed{y-4=-\dfrac{3}{2}(x+2)}\to\boxed{y=-\dfrac{3}{2}x+1}\to\boxed{3x+2y=2}

Step-by-step explanation:

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)

m - slope

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (-2, 4) and (-6, 10). Substitute:

m=\dfrac{10-4}{-6-(-2)}=\dfrac{6}{-4}=-\dfrac{6}{4}=-\dfrac{3}{2}\\\\y-4=-\dfrac{3}{2}(x-(-2))\\\\y-4=-\dfrac{3}{2}(x+2)

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If Q = {all perfect squares less than 30} and p={ all odd numbers from 1 to 10}
Soloha48 [4]

When Q = {all perfect squares less than 30} and p={ all odd numbers from 1 to 10) Q ∩ P = { 1, 9}

<h3>How to calculate the value?</h3>

Set theory simply means the branch of mathematical logic that deals with sets, that can be described as collections of objects.

It should be noted that perfect squares are the numbers that can be divided to give same number.

Q = {all perfect squares less than 30}. This will be 1, 4, 9, 16, 25

P ={ all odd numbers from 1 to 10}. This will be 1, 3, 5, 7, and 9.

In this case, the common numbers to set of P and Q are 1 and 9.

Therefore, the numbers are 1 and 9 since they're common to both sides.

Learn more about numbers on:

brainly.com/question/24644930

#SPJ1

If Q = {all perfect squares less than 30} and p={ all odd numbers from 1 to 10}. Find Q ∩ P.

3 0
1 year ago
(e) 3x2 + 10x + 3 by x + 3<br>​
kap26 [50]

Answer:

(3x+1)(x+3) is the factorised form for the expression.

Step-by-step explanation:

:3

x

2

+

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+

3

We can Split the Middle Term of this expression to factorise it.

In this technique, if we have to factorise an expression like  

a

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b

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c

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N

1

⋅

N

2

=

a

⋅

c

=

3

⋅

3

=

9

and,

N

1

+

N

2

=

b

=

10

After trying out a few numbers we get:

N

1

=

9

and  

N

2

=

1

9

⋅

1

=

9

, and  

9

+

(

1

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=

10

3

x

2

+

10

x

+

3

=

3

x

2

+

9

x

+

1

x

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3

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3

x

(

x

+

3

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+

1

(

x

+

3

)

(

3

x

+

1

)

(

x

+

3

)

is the factorised form for the expression.

is the factorised form for the expression.

8 0
2 years ago
Find the area of a rectangle with a base of 5 feet and a height of 9 1/2 feet​
gayaneshka [121]

The area of the rectangle is 47 1/2

7 0
2 years ago
Helppp meee pleasssseee!!!
aivan3 [116]

Answer:

19°

Step-by-step explanation:

Set up the equation (triangles add up to 180 degrees)(Right angles are 90 degrees).

39 + 90 + 2x + 13 = 180

142 + 2x = 180

2x = 38

x = 19

5 0
2 years ago
Read 2 more answers
Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 14 feet a
boyakko [2]

Answer:

Volume of Cylinder A is                          pi times the area of the base times the height

                                                             π r2 h = (3.1416)(4)(4)(15) = 753.98 ft3

Volume of Cylinder B is likewise             pi times the area of the base times the height

                                                             π r2 h = (3.1416)(6)(6)(7)   = 791.68 ft3

After pumping all of Cyl A into Cyl B

there will remain empty space in B         791.68 – 753.98 = 37.7 ft3  

The percentage this empty space is

of the entire volume is                            37.7 / 791.68 = 0.0476 which is 4.8% when rounded to the nearest tenth  

.

Guest Apr 26, 2020

Step-by-step explanation:

4 0
2 years ago
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