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1 year ago

SOMEBODY HELP ME PLS!

Mathematics

1 answer:

babunello [35]1 year ago

3 0

Answer:

To find the value of y from a given value of x, find the position of x on the x-axis, then trace vertically until you meet the line. Once you meet the line, trace horizontally to the y-axis to find the corresponding value of y.

To find the value of x from a given value of y, find the position of y on the y-axis, then trace horizontally until you meet the line. Once you meet the line, trace vertically to the x-axis to find the corresponding value of x.

From inspection of the graph,

when x = 1, y = -1

when x = 0, y = 2

when x = 2, y = -4

Therefore,

$\begin{array}{| c | c |}\cline{1-2} x & y\\\cline{1-2} 1 & -1 \\\cline{1-2} 0 & 2 \\\cline{1-2} 2 & -4 \\\cline{1-2}\end{array}$

To find the equation of the line, find the slope:

$\sf slope\:(m)=\dfrac{change\:in\:y}{change\:in\:x}=\dfrac{2-(-1)}{0-1}=-3$

Then use one of the points and the found slope with the point-slope form of a linear equation: $y-y_1=m(x-x_1)$

$\implies y-2=-3(x-0)$

$\implies y=-3x+2$

So the equation of this line is: $y=-3x+2$

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Bethany and her family are attending the Funville Town Fall Festival, and the first thing they do is get in line for the Maize (

erik [133]

Answer:

Part 1: 31.4 feet

Part 2: 61 feet

Part 3: 99,000 stalks of corn

Step-by-step explanation:

Part 1:

Diagram attached.

You can follow the problem closely and draw a diagram like this. The RED LINE is the distance we are looking to find.

The red line is the hypotenuse of a right triangle we can create (see the dotted line). We can now use the pythagorean theorem to solve for the distance.

Pythagorean Theorem is hypotenuse^2 = leg^2 + leg^2

Let red line [what we want to find] be h and the other 2 sides are 10-5=5 ft & 25 + 6 = 31ft. So we have:

$h^2 = 31^2 + 5^2\\h=\sqrt{31^2 + 5^2} \\h=31.4$

Hence Bethany has to walk 31.4 feet

Part 2:

See 2nd diagram attached.

The blue line is the path of Bethany and the green line is path of Ben. The RED line is what we are looking to find, the shortest distance between them.

We use Pythagorean Theorem twice on the two triangles and add up the results.

Left Triangle:

If we make a triangle, we have base (one leg) = 30 and the other leg is 20-10=10. So we have:

$h^2=30^2 + 10^2\\h=\sqrt{30^2 + 10^2} \\h=31.62$

RightSide triangle:

two legs are 25 and 15 respectively, so we use the pythagorean theorem again:

$h^2=25^2 + 15^2\\h=\sqrt{25^2 + 15^2} \\h=29.15$

Thus, the shortest distance = 31.62 + 29.15 = 60.77 = 61 feet (rounded to nearest whole number)

Part 3:

The area of the Maize MINUS the area of the path is the Area of the Corn [what we are looking for].

Area of Maze:

100 * 100 = 10,000 sq. yd.

Area of Path = 1.5 * 3000 = 4,500 sq. yd.

Area of Corn = 10,000 - 4,500 = 5,500 sq. yard of land.

Now, each sq. yd. holds 18 stalks, so 5,500 sq. yd. will hold:

18 * 5,500 = 99,000 stalks of corn

7 0

3 years ago

Plz help with math and show your work

Inga [223]

26. 2x^2 +4x -10 = 0 (-4 + - (root(4^2 - 4*2*-10)))/2*2 =
(-4 + - (root(96)))/4
(-4 + (root(96)))/4 ≈ 1.45
(-4 - (root(96)))/4 ≈ -3.45

27. f(x) = 0 when any of the components that multiply together equal 0 for this function therefore x -2 = 0 x +3 = 0 x -5 = 0 so f(x) = 0 when x = 2, -3 or 5

28. It looks like it shows you how to do it

4 0

3 years ago

1. A hotel manager buys 30 pillow cases and 25 shower curtains for $375. The manager then buys another 28 pillow cases and 35 sh

skad [1K]

Answer:

For #2: It's C. 17 nickels and 15 quarters.

Step-by-step explanation:

17*5= 85

15*25= 375

375+85= 460

add in the decimal:

17* 5 cents= $.85

15* 25 cents= $3.75

$3.75+ $.85= $4.60

7 0

3 years ago

J.k. Rowling and R.L. Stone are both ready hunger games . J.k. Reads 35 pages every 2 hours and R.L. Reads 45 pages every 3 hour

san4es73 [151]

Answer:

The rate of change for each reader is :

For J K Rowling : 17 and a half pages per hour

For R L Stone : 15 pages per hour

Step-by-step explanation:

Here the reading rate of each reader is given as:

J.K. Reads 35 pages every 2 hours.

So, the number of pages read by J K in 2 hours = 35 pages

⇒ The number of pages read per hour = 35 / 2 = 17 . 5 pages

So, the pages read by J K Rowling in 1 hour is 17 and a half pages.

R L Stone reads 45 pages every 3 hours.

So, the number of pages read by R L in 3 hours = 45 pages

⇒ The number of pages read per hour = 45 / 3 = 15 pages

So, the pages read by R L Stone in 1 hour is 15 pages.

Hence, the rate of change for each reader is :

For J K Rowling : 17 and a half pages per hour

For R L Stone : 15 pages per hour

5 0

3 years ago

Y'all, please help a girl out. ಥ_ಥ This problem is driving me nuts, but it's simple but I can't get the answer and that's why I'

elixir [45]

Answer:

The perimeter is 22.

Step-by-step explanation:

If you turn this shape into a rectangle, the perimeter doesn't change.

The width is given, it is 7.5. The height is BC+DE = 3.5

Then the perimeter is twice the width plus twice the height:

7.5*2 + 3.5*2 = 15+7 = 22

8 0

2 years ago