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3 years ago

WILL MAKE BRAINLIEST!!! what is the slope of each line?

Mathematics

2 answers:

Pavel [41]3 years ago

5 0

Answer:

The line has a slope of 2.

Step-by-step explanation:

We can see that this line intersects (-3, -4) and (-1, 0), so it's slope, Δy/Δx, will be:

(-4 - 0) / (-3 - (-1))

= -4 / -2

= 2

Scorpion4ik [409]3 years ago

4 0

The correct answer is d, 2

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Let A = {x : 2x² + 3x - 2 = 0} and B = {x : x² + 3x - 4 = 0 } find (A U B) × (A Π B)

ivann1987 [24]

Given :

A = {x: 2x² + 3x - 2 = 0 }
B = {x : x² + 3x - 4 = 0 }

To find :

(A U B ) × (A Π B )

Solution :-

The first set is ,

A ={x : 2x² + 3x - 2 = 0}

Solving the Quadratic equation ,

2x² + 3x - 2 = 0
2x² + 4x - x - 2 = 0
2x( x + 2) -1( x + 2 ) = 0
(2x -1) ( x + 2) = 0
x = 0.5 , -2

Hence ,

A ={0.5, -2}

The second set is ,

B ={ x :x² + 3x - 4 = 0 }

Solving the Quadratic equation ,

x² + 3x - 4 = 0
x² + 4x - x - 4 = 0
x( x + 4)-1 ( x +4) = 0
(x + 4) ( x -1) = 0
x = 1 , -4

Hence ,

B ={1,4}

Now ,

A U B = { 0.5 , 1 , 4 , -2}
A Π B = {∅ }

Since AΠ B is a null set , hence ,

A × B = {∅}

8 0

3 years ago

What is the radius of this circle?

Blababa [14]

Answer:

9in

Step-by-step explanation:

radius is half the diameter

18/2 is 9 so the radius is 9in

3 0

3 years ago

A taxi cab charges a $3.50 flat fee plus a $1.20 fee mile. Write an equation for the total cost, y, after riding for x miles

oksian1 [2.3K]

y = $3.50 + ($1.20/mile)x

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3 years ago

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The equation for a circle is x^2 − 8x + y^2 - 2y - 8 = 0

Ivanshal [37]

Answer:

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

To obtain this form use the method of completing the square

Given

x² - 8x + y² - 2y - 8 = 0 ( add 8 to both sides )

x² - 8x + y² - 2y = 8

add ( half the coefficient of the x/y terms )² to both sides

x² + 2(- 4)x + 16 + y² + 2(- 1)y + 1 = 8 + 16 + 1

(x - 4)² + (y - 1)² = 25 → B

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3 years ago

Whats three and one half minus four and one half

liubo4ka [24]

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