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3 years ago

2x + 2y = 6 3x − 2y = 29

Mathematics

1 answer:

Mazyrski [523]3 years ago

7 0

Answer:

x = 7

y = -4

Step-by-step explanation:

5x = 35

x=7

14 + 2y = 6

2y = -8

y = -4

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Write an equation, in point-slope form, for the line that goes through points (4,4) and (-4,-1).

Soloha48 [4]

Answer:

C.) Y= 5/8x + 1 1/2

Step-by-step explanation:

To write the equation of a line, calculate the slope between points (4,4) and (-4,-1). After, substitute the slope and a point into the point slope form.

$m = \frac{y_2-y_1}{x_2-x_1} = \frac{4--1}{4--4}= \frac{5}{8}$

Substitute m = 5/8 and the point (4,4) into the point slope form.

$y - y_1 = m(x-x_1)\\y -4 = \frac{5}{8}(x-4)\\y-4 = \frac{5}{8}x - \frac{20}{8} \\\y = \frac{5}{8}x - 2{1}{2} + 4 \\ y = \frac{5}{8}x + 1\frac{1}{2}$

3 0

4 years ago

Could you tell me the answer to this problem −54.9 − (−18.75)

trapecia [35]

The answer is -36.15

4 0

3 years ago

A rectangular parcel of land has an area of 6,000 ft2. A diagonal between opposite corners is measured to be 10 ft longer than o

Drupady [299]

Answer:

50ft by 120ft

Step-by-step explanation:

Area of a rectangle = L × W

6000ft² = L × W

L = 6000/W

When a diagonal line divides a rectangle into 2 right angled triangles, the diagonal line = Hypotenuse of either of the triangle and it is the longest side.

The formula for a right angle triangle =

a² + b² = c²( c = hypotenuse)

We are told in the question that:

A diagonal between opposite corners is measured to be 10 ft longer than one side of the parcel

Let us assume the side that the hypotenuse is longer than = Width

Hence, the Diagonal = (W + 10)²

Therefore

L² + W² = (W + 10)²

Since L = 6000/W

W² + (6000/W)² = (W + 10)²

W² + (6000/W)² = (W + 10) (W + 10)

W² + (6000/W)² = W² + 10W + 10W + 100

W² + (6000/W)² = W² + 20W + 100

W² - W² + (6000/W)² = 20W+ 100

6000²/W² = 20W + 100

6000² = W²( 20W + 100)

6000² = 20W³ + 100W²

20W³ + 100W² - 6000² = 0

20W³ + 100W² - 36000000 = 0

20(W³ + 5W² - 1800000) = 0

Factorising the quadratic equation,

20(W − 120)(W² + 125W + 15000) = 0

W - 120 = 0

W = 120

Therefore,

W(Width) = 120feet

Since the Width = 120 feet

We can find the length

6000ft² = L × W

L = 6000/W

L = 6000/120

L = 50 feet

The dimensions of the land, correct to the nearest foot is 50ft by 120ft

3 0

3 years ago

In order to set premiums at profitable levels, insurance companies must estimate how much they will have to pay in claims on car

Alex73 [517]

I hope someone sloves your problem :)

8 0

3 years ago

I don't understand plz help

Rasek [7]

Answer:

The equation that represent x, the height of the sign is;

$2a = 3x$

Step-by-step explanation:

Given that the area of the triangular yield is A square feet

and it has a base length of 3 feet.

also the height is represented by x;

$b = 3ft \\ h = x$

Recall that the area of a triangle can be written as;

$a = \frac{1}{2} bh$

substituting the given;

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

Therefore, the equation that represent x, the height of the sign is;

$2a = 3x$

8 0

3 years ago

Read 2 more answers