Length of a river 27km 7m 170cm 270mm

<img src="https://tex.z-dn.net/?f=4x%20-%205y%20%3D%20%20-%205%20%20%5C%5C%20y%20%3D%20x" id="TexFormula1" title="4x - 5y = - 5

kykrilka [37]

Answer:

y=1 + $\frac{4x}{5}$

x=- $\frac{5}{4}$ + $\frac{5y}{4}$

7 0

3 years ago

Write an equation of the line that passes through (3,2), and is perpendicular to the line

frutty [35]

Step-by-step explanation:

step 1. perpendicular lines have negative reciprocal slopes

step 2. perpendicular to m = 1/3 is the slope m = -3/1 or m = -3

step 3. a line through (3, 2) with m = -3 is y - 2 = -3(x - 3)

step 4. y - 2 = -3x + 9

step 5. y = -3x + 11.

8 0

3 years ago

What is the equation of a line that passes through the point?

Artist 52 [7]

<h3>Answer: 3x-2y = 5 (choice A)</h3>

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

Explanation:

The given graph passes through (0,2) and (2,5)

The slope of this line is

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

m = (5-2)/(2-0)

m = 3/2

Since the y intercept is b = 2, we go from y = mx+b to y = (3/2)x+2, which is the equation of the graphed line shown.

Any parallel line will have the same slope, but a different y intercept.

-------------------

The parallel line must pass through (x,y) = (3,2). We'll use these coordinates along with m = 3/2 to find the y intercept b

y = mx+b

2 = (3/2)(3)+b

2 = 9/2+b

2-9/2 = b

4/2 - 9/2 = b

-5/2 = b

b = -5/2 ... is the new y intercept

The equation of the parallel line is y = (3/2)x-5/2, which is in slope intercept form

-------------------

Let's convert to standard form

y = (3/2)x-5/2

2y = 3x-5 .... multiply everything by the LCD 2 to clear out fractions

2y+5 = 3x

3x = 2y+5

3x-2y = 5 ... is the equation in standard form of the parallel line

-------------------

As a check, we can plug (x,y) = (3,2) into that last equation above to get

3x-2y = 5

3*3-2*2 = 5 ... replace x with 3, replace y with 2

9-4 = 5

5 = 5

Confirming that (x,y) = (3,2) is on the line.

3 0

3 years ago

-4x + 11y = 15<br> X = 2y <br><br> Solve using substitution <br><br> X = <br><br> Y=

Virty [35]

-4(2y)+11y=15, -8y+11y=3y=15: y=5

X=2(5)=10

To check your work -4(10)+11(5)=15
15=15

8 0

2 years ago

The area of a square for on a scale drawing of 100 square centimeters and the scale drawing to 1 cm: 2 feet what is the area of

lilavasa [31]

Answer:

1. $\boxed{\text{400 ft}^{2}}$ ; 2. $\boxed{\frac{1}{3716}}$

Step-by-step explanation:

Step 1. Calculate the area of the floor

If the area A₁ of a square floor on the scale drawing is 100 cm², the length of a side is 10 cm.

The side length l of the actual floor is

l = 10 cm × (2 ft/1 cm) = 20 ft

The area A₂ of the floor is

A = l² = (20 ft)² = $\boxed{\text{400 ft}^{2}}\\$

Step 2. Calculate the area ratios

We must express both areas in the same units.

Let's express the area of the room in square centimetres.

l = 20 ft × (12 in/1 ft) = 240 in

l = 240 in × (2.54 cm/1 in) = 609.6 cm

A₂ = l² = (609.6 cm)² = 371 612 cm²

The area A₁ on the scale drawing is 100 cm².

The ratio of the areas is

$\frac{A_{1}}{ A_{2}} = \frac{100}{371612} = \frac{1 }{3716}\\$

The ratio of the area in the drawing to the actual area is $\boxed{\frac{1}{3716}}$

8 0

3 years ago