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3 years ago

Write the equation of a line in standard form that has x-intercept (P,0) and y-intercept (0,R).

Mathematics

1 answer:

ExtremeBDS [4]3 years ago

7 0

Answer:

$Rx+Py=RP$

Step-by-step explanation:

The points on the straight line are (P, 0) and (0, R).

The slope would be

$m=\frac{R-0}{0-P}=-\frac{R}{P}$

And $b=R$ , because the y-intercept is at (0, R).

So, the equation of this line would be

$y=-\frac{R}{P} x+R$

Where we multiply the equation by $P$

$Py=-Rx+RP$

Therefore, the equation that represents this line is

$Rx+Py=RP$

<h2>So, the right answer is B.</h2>

You might be interested in

locksmith larry charges $90 for a house cal plus $20 per hour. Locksmith Barry charges $50 for a house call plus $30 per house.

nadya68 [22]

Answer:

4 hours

Step-by-step explanation:

Equations :

Larry : y = 20x + 90

Barry : y = 30x + 50

Equate both to find the number of hours at which they both charge the same :

20x + 90 = 30x + 50
30x - 20x = 90 - 50
10x = 40
x = 4 hours

4 0

3 years ago

Based on the diagram shown, find θ to the nearest degree.

sattari [20]

Answer:

θ = 38°

Step-by-step explanation:

The lower right triangle is congruent to the upper left triangle, so we have θ and 20° being the two acute angles in the triangle. The law of sines tells you ...

sin(θ)/9 = sin(20°)/5

sin(θ) = (9/5)sin(20°)

θ = arcsin(9/5·sin(20°)) ≈ 38°

___

Another solution to the triangle is θ = 180° -38° = 142°. The diagram clearly shows θ as an acute angle, so we take this second solution to be extraneous.

8 0

3 years ago

A desk drawer is shaped like a rectangular prism. The height of the drawer is 7 inches. The bottom of the drawer has an area of

Gnom [1K]

Answer:

$Volume = 1470\ in^3$

Step-by-step explanation:

Given

$Height = 7in$

$Base\ Area = 210in^2$

Required

Determine the volume

The volume of the drawer is calculated as:

$Volume = Base\ Area * Height$

Substitute values for Base Area and Height

$Volume = 210\ in^2 * 7in$

$Volume = 1470\ in^3$

3 0

3 years ago

Factor the expression by grouping (show work/steps) -4x^3 - 12x^2 + 8x + 24

lisabon 2012 [21]

Factor out -4
-4(x^3+3x^2-2x-6
Factor out x^2
-4(x^2(x+3)-2x-6)
Factor out -2
-4(x^2(x+3)-2(x+3))
Factor out x+3
-4(x+3)(x^2-2)

5 0

3 years ago

The distance on the map between Yappy city and Quiet city is 23 cm.

jekas [21]

The actual distance between Yappy city and Quiet city when it is 23 cm in map is 9.2 miles.

What is scaling ?

It is the technique to resize drawing with comparing to actual size of object which uses proportion or ratio. For example, Mapping of earth, drawing prototype of automobiles.

It is given that :

The distance on the map between Yappy city and Quiet city is 23 cm

and,

5cm = 2 miles

now, for 1 cm on map it is equal to 2/5 miles of actual distance.

Therefore to find the actual distance of 23 cm in map we simply multiply 23 with 2/5 :

actual distance :

2/5 x 23 = 9.2 miles

Therefore, the actual distance between Yappy city and Quiet city is 9.2 miles.