Solve for x: 6x-8=4x+12-x

Determine the equation of the graph and select the correct answer (-4,-1)

Snowcat [4.5K]

Answer:

(-4,-1)

Step-by-step explanation:

Assuming the graph is the one shown in the attachment.

The forward sloping line has a slope of 1 and a y-intercept of 3.

The equation of this line is y=x+3

The horizontal line has a slope of 0 and y-intercept of -1.

It's equation is y=-1

The two lines intersect at (-4,-1)

4 0

3 years ago

The coordinates of the vertices of a rectangle are (−3, 4) , (7, 2) , (6, −3) , and (−4, −1) . What is the perimeter of the rect

ki77a [65]

Answrer

Find out the what is the perimeter of the rectangle .

To prove

Now as shown in the figure.

Name the coordinates as.

A(−3, 4) ,B (7, 2) , C(6, −3) , and D(−4, −1) .

In rectangle opposite sides are equal.

Thus

AB = DC

AD = BC

Formula

$Disatnce\ formula = \sqrt{(x_{2} - x_{1})^{2} +(y_{2} - y_{1})^{2}}$

Now the points A(−3, 4) and B(7, 2)

$AB = \sqrt{(7- (-3))^{2} +(2- 4)^{2}}$

$AB = \sqrt{(10)^{2} +(-2)^{2}}$

$AB = \sqrt{100+4}$

$AB = \sqrt{104}$

$AB = 2\sqrt{26}\units$

Thus

$CD= 2\sqrt{26}\units$

Now the points

A (−3, 4) , D (−4, −1)

$AD = \sqrt{(-4 - (-3))^{2} +(-1- 4)^{2}}$

$AD = \sqrt{(-1)^{2} +(-5)^{2}}$

$AD = \sqrt{1 + 25}$

$AD = \sqrt{26}\units$

Thus

$BC = \sqrt{26}\units$

Formula

Perimeter of rectangle = 2 (Length + Breadth)

Here

$Length = 2\sqrt{26}\ units$

$Breadth = \sqrt{26}\ units$

$Perimeter\ of\ rectangle = 2(2\sqrt{26} +\sqrt{26})$

$Perimeter\ of\ rectangle = 2(3\sqrt{26})$

$Perimeter\ of\ rectangle = 6\sqrt{26}$

$\sqrt{26} = 5.1 (Approx)$

$Perimeter\ of\ rectangle = 6\times 5.1$

Perimeter of a rectangle = 30.6 units.

Therefore the perimeter of a rectangle is 30.6 units.

8 0

3 years ago

The reciprocal rule of division method is

I am Lyosha [343]

Answer:

B

Step-by-step explanation:

7 0

2 years ago

The cost for x number of gallons of heating oil can be represented by the function f(x)=4x+6 in the context of the problem expla

deff fn [24]

Answer:

This means that the cost of 2 heating oil gallons is 14.

Step-by-step explanation:

f(x) = 4x + 6 , where x is the number of heating oil gallons.

And f(x) = 4x + 6 is the equation for the cost of x gallons.

When the number of gallons are 2 then the cost is;

f(2) = 4(2) + 6 = 8 + 6 = 14

This means that the cost of 2 heating oil gallons is 14.

7 0

3 years ago

5,000 people visited a bookfair in the first week. The numbers increased by 10% in the second week. how many people visited the

lorasvet [3.4K]

Answer:

5500

Step-by-step explanation:

5000 + (10 / 100) x 5000 = 5000 + (1/10) x 5000 = 5000 +500= 5500 people visted the book fair in the second week

3 0

2 years ago