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Mandarinka [93]

3 years ago

8

Luke plots his favorite places to go in his town on a coordinate plane. His 4 favorite places, the skateboard park, the ice crea

m shop, the comic book store, and his best friend's house, make a rectangle. The skateboard park is located at the point (-3,5), the ice cream shop at (-3,6), and the comic book store at (4,6). At what point does his best friend live? A) (-3, 4) B) (4, 5) C) (5, 4) D) (5, 6)

2 answers:

raketka [301]3 years ago

7 0

We are given that:

The skateboard park is located at the point (-3,5),

the ice cream shop is located at the point (-3,6),

and the comic book store is located at (4,6).

We are also given that the four coordinates forms a rectangle.

Here we already have two matching x- coordinates as -3 and y coordinates as 6.

Now we must have two matching x and y coordinates too.

As shown in figure , if we have the last coordinate as (4,5), it will complete the rectangle.

So answer is option B) (4,5) is the last coordinate at which his best friend lives.

Nookie1986 [14]3 years ago

7 0

The answer is B) (4,5). In order to form a rectangle, there has to be two matching pairs of y coordinates.

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5. Jack has decided to give away 20% of his

Brrunno [24]

Answer:

1280

Step-by-step explanation:

7 0

2 years ago

Which equation is y = â€""6x2 3x 2 rewritten in vertex form?.

Ber [7]

The vertex form needed is :

$-6(x-0.25)^2 +2.375$

Given the equation:

$-6x^2 + 3x + 2\\$

The vertex form of $f(x) = ax^2 + b(x) + c$ is given by:

$f(x) = a(x-h)^2 + k$

Here, (h,k) is the vertex of the parabola equation given.

Conversion will go like this:

$-6x^2 + 3x + 2\\= -6(x^2 - 0.5x) + 2\\= -6(x^2 -0.5x + 0.0625 - 0.0625) + 2\\= -6(x^2 -0.5x + 0.0625) + 2 +0.375\\= -6(x-0.25)^2 + 2.375\\\\$

This is the resultant vertex form.

Thus the vertex form needed is :

$-6(x-0.25)^2 +2.375$

Learn more here:

brainly.com/question/15165354

6 0

2 years ago

I'm confused. Can someone help?

VARVARA [1.3K]

a.

The polynomial w^2+18w+84 cannot be factored

The perfect square trinomial is w^2+18w + 81

----------

The reason the original can't be factored is that solving w^2+18w+84=0 leads to no real solutions. Use the quadratic formula to see this. The graph of y = x^2+18x+84 shows there are no x intercepts. A solution and an x intercept are basically the same. The x intercept visually represents the solution.

w^2+18w+81 factors to (w+9)^2 which is the same as (w+9)(w+9). We can note that w^2+18w+81 is in the form a^2+2ab+b^2 with a = w and b = 9

================================================

b.

The polynomial y^2-10y+23 cannot be factored

The perfect square trinomial is y^2-10y + 25

---------

Using the quadratic formula, y^2-10y+23 = 0 has no rational solutions. The two irrational solutions mean that we can't factor over the rationals. Put another way, there are no two whole numbers such that they multiply to 23 and add to -10 at the same time.

If we want to complete the square for y^2-10y, we take half of the -10 to get -5, then square this to get 25. Therefore, y^2-10y+25 is a perfect square and it factors to (y-5)^2 or (y-5)(y-5)

8 0

2 years ago

PLEASE HELP!!!!!!!!

vfiekz [6]

Answer:

about 78 years

Step-by-step explanation:

Population

y =ab^t where a is the initial population and b is 1+the percent of increase

t is in years

y = 2000000(1+.04)^t

y = 2000000(1.04)^t

Food

y = a+bt where a is the initial population and b is constant increase

t is in years

b = .5 million = 500000

y = 4000000 +500000t

We need to set these equal and solve for t to determine when food shortage will occur

2000000(1.04)^t= 4000000 +500000t

Using graphing technology, (see attached graph The y axis is in millions of years), where these two lines intersect is the year where food shortages start.

t≈78 years

8 0

3 years ago

Read 2 more answers

Please help, easy geometry

iVinArrow [24]

Answer:

26 cm²

Step-by-step explanation:

The area of the rectangle whose dimensions are shown at the right and bottom is ...

(6 cm)(7 cm) = 42 cm²

The figure is smaller than that by the area of the space whose dimensions are shown at the right and in the middle left:

(4 cm)(4 cm) = 16 cm²

The figure area is then the difference ...

42 cm² - 16 cm² = 26 cm²

_____

<em>Alternate solution</em>

Draw a diagonal line between the lower right inside corner and the lower right outside corner. This divides the figure into two trapezoids.

The trapezoid at lower left has bases 7 and 4 cm, and height 6-4 = 2 cm. Its area is ...

A = (1/2)(b1 +b2)h = (1/2)(7 + 4)(2) = 11 . . . . cm²

The trapezoid at upper right has bases 6 cm and 4 cm and height 3 cm. Its area is ...

A = (1/2)(b1 +b2)h = (1/2)(6 + 4)(3) = 15 . . . . cm²

Then the area of the figure is the sum of the areas of these trapezoids, so is ...

11 cm² + 15 cm² = 26 cm²

_____

<em>Comment on other alternate solutions</em>

There are many other ways you can find the area of this figure. It can be divided into rectangles, triangles, or other figures of your choice. The appropriate area formulas should be used, and the resulting partial areas added or subtracted as required.

You can also let a geometry program find the area for you. (It is 26 cm².)

8 0

3 years ago