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3 years ago

Find the equation of the line. Use exact numbers.

Mathematics

2 answers:

horrorfan [7]2 years ago

7 0

Answer:

y = 2/3x + 4

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

The line is clearly linear, so the above applies

The points with x = 0 and x = 1 vary in y by 2/3, making the slope = 2/3. The y intercept in the graph is 4, making b = 4

Grace [21]2 years ago

4 0

The equation would be y=2/3x+4

So to finish the equation, you would need the slope and the y-intercept. The y-intercept is where the line hits the y-axis. So it hits the y-axis at (0,4), making the y-intercept 4.

Next find the slope. Do this by picking two points and plugging it into the equation

y2-y1/x2-x1

(0,4) (3,6)

6-4/3-0

2/3

So it would be y=2/3x+4

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Given f(x)=x^2+1 and g(x)=x. Which expression is not a polynomial?

diamong [38]

Answer:

i think its not a polynomial

Step-by-step explanation:

7 0

2 years ago

For each equation choose a value for x and then solve

ss7ja [257]

Answer:

Step-by-step explanation:

For each equation choose a value for x and then solve to find the corresponding y value that makes that equation true.

5 0

2 years ago

The length of a rectangle is 7 more than the width the area is 744 square centimeters find length and width of rectangle

andrezito [222]

Answer:

$l=31\ cm\\\\w=24\ cm$

Step-by-step explanation:

The formula that is used to calculate the area of a rectangle is:

$A=lw$

Where "l" is the lenght and "w" is the width.

You know that the area of that rectangle is:

$A=744\ cm^2$

And, according to the exercise, its lenght is 7 more than its width; then:

$l=w+7$

Then, you can make the corresponding substitution into the formula $A=lw$ :

$744=(w+7)w$

Simplify:

$744=w^2+7w\\\\w^2+7w-744=0$

Factor the equation. Find two numbers whose sum is 7 and whose product is -744. These are 31 and -24.

Then, you get:

$(w-24)(w+31)=0\\\\w_1=24\\\\w_2=-31$

The width of the rectangle is the positive value:

$w=24\ cm$

Then, the lenght is:

$l=24+7\\\\l=31\ cm$

8 0

2 years ago

Solve this inequality 5 x + 2 < 32

Hatshy [7]

Answer:

Here is your answer:

5x + 2 < 32

solution:

5x+ 2 < 32

or, 5x < 32-2

or, 5x < 30

or, 5x < 30/2

or, 5x < 15

or, x < 15/3

or, x < 5

therefore, x < 5 ans

Hope it will help you

7 0

2 years ago

Can someone plzz help me with these 2 questions. thanks!

Deffense [45]

9514 1404 393

Answer:

4. height: 5√3 cm; area: 25√3 cm²

5. 30√2 ft ≈ 42.43 ft

Step-by-step explanation:

4. The height of an equilateral triangle is (√3)/2 times the side length, so is ...

height = (√3)/2 × (10 cm) = 5√3 cm

The area is given by the formula ...

A = 1/2bh

A = 1/2(10 cm)(5√3 cm) = 25√3 cm²

5. The diagonal of a square is √2 times the side length, so the distance from 3rd to 1st base is ...

(30 ft)√2 ≈ 42.43 ft

The length of the diagonal of a square is something you should be familiar with. If you're not, you can figure the distance using the Pythagorean theorem.

d = √(30² +30²) = √1800 ≈ 42.43 . . . feet

6 0

2 years ago