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3 years ago

The diagram shows several points and lines.

Mathematics

1 answer:

Leya [2.2K]3 years ago

3 0

Answer:

B and E 2020

Step-by-step explanation:

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Please help thanks so much

Goshia [24]

Answer:

y = (-4/3)*x + 7

Step-by-step explanation:

The point-slope form of the equation of a line is: y = a*x + b

In the above equation, a is the slope of the line representing the equation in the graph and y is the function of x [y = y(x)]

The given line has a slope of -4/3, so that a = -4/3

=> The equation of this line has a form as following: y = (-4/3)*x + b (1)

As the line passes through the point (9; -5) (in which: x = 9; y = -5). Replace x =9 and y = -5 into the equation (1), we have:

y = (-4/3)*x + b

=> -5 = (-4/3)*9 + b

=> -5 = -12 + b

=> b = 7

So that the equation in point-slope form of the given line is:

y = (-4/3)*x + 7

6 0

3 years ago

The length of a 200 square foot rectangular vegetable garden is 4feet less than twice the width. Find the length and width of th

inna [77]

Answer:

Length = 18.099 ft

Width = 11.049 ft

Step-by-step explanation:

let the length of the field be x ft

and the width be y ft

as per the condition given in problem

x=2y-4 -----------(A)

Also the area is given as 200 sqft

Hence

xy=200

Hence from A we get

y(2y-4)=200

taking 2 as GCF out

2y(y-2)=200

Dividing both sides by 2 we get

$y(y-2)=100$

$y^2-2y=100$

subtracting 100 from both sides

$y^2-2y-100=0$

Now we solve the above equation with the help of Quadratic formula which is given in the image attached with this for any equation in form

$ax^2+bx+c=0$

Here in our case

a=1

b=-1

c=-100

Putting those values in the formula and solving them for y

$y=\frac{-(-2)+\sqrt{(-2)^2-4 \times (-1) \times 100}}{2 \time 1}$

$y=\frac{-(-2)-\sqrt{(-2)^2-4 \times (-1) \times 100}}{2 \time 1}$

Solving first

$y=\frac{2+\sqrt{4+400}{2}$

$y=\frac{2+\sqrt{404}{2}$

$y=\frac{2+20.099}{2}$

$y=\frac{22.099}{2}$

$y=11.049$

Solving second one

$y=\frac{-(-2)-\sqrt{(-2)^2-4 \times (-1) \times 100}}{2 \time 1}$

$y=\frac{2-\sqrt{4+400}{2}$

$y=\frac{2-\sqrt{404}{2}$

$y=\frac{2-20.099}{2}$

$y=\frac{-18.99}{2}$

$y=-9.045$

Which is wrong as the width can not be in negative

Our width of the field is

y=11.099

Hence the length will be

x=2y-4

x=2(11.049)-4

x=22.099-4

x=18.099

Hence our length x and width y :

Length = 18.099 ft

Width = 11.049 ft

4 0

3 years ago

You drop a ball from a height of 98 feet. At the same time, your friend throws a ball upward. The polynomials represent the heig

Lynna [10]

Answer: The polynomial is 92 - 46t

92,92,-46,46

Step-by-step explanation:

5 0

3 years ago

Solve the equation 18x - 9 = 5+ 12x

Hitman42 [59]

Answer:

$x = 2\frac{1}{3}$

Step-by-step explanation:

Try to get x alone on one side

Add nine to both sides

18x - 9 = 5 + 12x

+ 9 + 9

Subtract 12x from both sides

18x = 14 + 12x

-12x -12x

Now that you have x alone on one side divide both sides by 6

6x = 14

$\frac{6x}{6} = \frac{14}{6}$

$x = 2 \frac{2}{6} or 2 \frac{1}{3}$

8 0

3 years ago

A triangle has two sides of length 13 and 12. What is the smallest possible whole-number

Paraphin [41]

Answer:

idk sorry

Step-by-step explanation:

8 0

3 years ago