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2 years ago

Find the x coordinate of the point.

Mathematics

1 answer:

Olegator [25]2 years ago

3 0

Answer:

x= -17

Step-by-step explanation:

When we have 2 points, we can find the slope using

m = (y2-y1)/(x2-x1)

Substituting what we know

1/5 = (0-3)/(x--2)

1/5 = -3/(x+2)

Using cross products

1*(x+2) = 5*(-3)

x+2 = -15

Subtract 2 from each side

x+2-2 = -15-2

x=-17

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105,000,000 written in scientific notation would be:

Natali5045456 [20]

Answer:

1.05 x 10 to the 8th power

Step-by-step explanation:

5 0

2 years ago

5 less than one fourth of x is y

alexgriva [62]

5 less = 5 minus
one forth of x = 1/4x
is y = =y

5-1/4x =y

6 0

3 years ago

The Garden Task

Igoryamba

If the perimeter of the garden is (14x - 32) ft and has a side length of (x + 2) ft:

the perimeter = 24 ft
the area = 36 sq. ft
if the perimeter of the garden is doubled, the perimeter of the new garden = 48 ft
if the area of the garden is doubled, the area of the new garden = 72 sq. ft

Recall:

A square has equal side lengths
Perimeter of a square = 4(side length)
Area of a square = $(side $ length)^2$

Given:

Perimeter of square (P) = $(14x - 32) $ ft$

Side length (s) = $(x + 2) $ ft$

First, let's find the value of x by creating an equation using the perimeter formula:

Perimeter of a square = 4(side length)

Plug in the values

$(14x - 32) = 4(x + 2)$

Solve for x

$14x - 32 = 4x + 8\\\\14x - 4x = 32 + 8\\\\10x = 40\\\\x = 4$

Find how much fencing would be needed (Perimeter of the fence):

Perimeter of the fence = $(14x - 32) $ ft$

Plug in the value of x

Perimeter of the fence = $14(4) - 32 = 24 $ ft$

Find the area of the garden:

Area of the garden = $(side $ length)^2$

Area = $(x + 2)^2$

Plug in the value of x

Area = $(4 + 2)^2 = 6^2 = 36 $ ft^2$

Find the perimeter if the garden size is doubled:

Perimeter of the new garden = 2 x 24 = 48 ft

Find the area if the garden size is doubled:

Perimeter of the new garden = 2 x 36 = 72 sq. ft

In summary, if the perimeter of the garden is (14x - 32) ft and has a side length of (x + 2) ft:

the perimeter = 24 ft
the area = 36 sq. ft
if the perimeter of the garden is doubled, the perimeter of the new garden = 48 ft
if the area of the garden is doubled, the area of the new garden = 72 sq. ft

Learn more here:

brainly.com/question/13511952

4 0

1 year ago

Name:

qaws [65]

Answer:

Width of the rectangle = 5 inches

Length of the rectangle = 20 inches

Step-by-step explanation:

Let us assume the width of the rectangle = m in

So, the length of the rectangle = 4 (Width) = (4 m) in

Perimeter of the rectangle = 50 inches

Now, Perimeter of the Rectangle = 2 (LENGTH + WIDTH)

⇒ 2( m + 4m) = 50

or, 2(5m) = 50

⇒ 10m = 50 or, m = 50/10 = 5

⇒ m = 5

So, the width of the rectangle = 5 inches

and the length of the rectangle = 4 m = 4 x 5 = 20 inches

8 0

2 years ago

Hexagon DEFGHI is translated on the coordinate plane below to create hexagon D'E'F'G'H'I': Hexagon DEFGHI and Hexagon D prime E

MatroZZZ [7]

(x, y)→(x − 8, y − 7) is the correct translation. Take point D for example. The coordinate of D is (2, 5). The coordinate of D' (after translation) is (-6, -2). Since 2-8=-6, 5-7=-2, only the first choice is correct. You can also try other points and see why only this is the right translation.

4 0

2 years ago

Read 2 more answers