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MissTica
3 years ago
12

giving 20 points! can someone explain to me what a proportional relationship is? and an example on how to solve it

Mathematics
2 answers:
Novosadov [1.4K]3 years ago
6 0

A proportional relationship is one in which two quantities vary directly with each other. The variable y varies directly as x if y=kx. For some constant k, is also called the constant of proportionality. I hope this helps!

jonny [76]3 years ago
5 0

A proportional relationship is one in which two quantities vary directly with each other. We say the variable y varies directly as x if:

y=kx

for some constant k , called the constant of proportionality .

(Some textbooks describe a proportional relationship by saying that " y varies proportionally with x " or that " y is directly proportional to x .")

This means that as x increases, y increases and as x decreases, y decreases-and that the ratio between them always stays the same.

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69 points!!!
Amiraneli [1.4K]

Answer:

C)  The solution for the given system of equations are A(0,-5) and B(-4,3)

Step-by-step explanation:

The given system of equation are : x^{2}  + y^{2}  = 25\\2x  + y  = -5

from equation 2, we get   y = -5 - 2x .

Put the above value of y in the equation (1).

We get: x^{2}  + y^{2}  = 25  \implies x^{2}  + (-5-2x)^{2}  = 25

By ALGEBRAIC IDENTITY:

(a+b)^{2}   = a^{2}  +  b^{2}  + 2ab\\ (-5-2x)^{2} = (-5)^{2}  +  (-2x)^{2}  + 2(-5)(-2x)

or, x^{2}  + (-5-2x)^{2}  = 25  \implies x^{2} + (25  +  4x^{2}  + 20x)  = 25

or, 5x^{2}  + 20x = 0  \implies x(5x + 20) = 0

⇒ x = 0 or,   x  = -20/5 = -4

So, the possible values for x are: x  = 0 or  x  = -4

If x  = 0, y = -5-2x = -5-2(0) = -5

and if x = -4, y = -5 -2(-4)   = -5 + 8  = 3

Hence, the solution for the given system of equations are A(0,-5) and B(-4,3)

8 0
3 years ago
Remember to eat and drink water. Have an amazing day, I love you!
AveGali [126]

Answer:

Nice picture

Step-by-step explanation:

utoo............

5 0
3 years ago
Read 2 more answers
What is the x-intercept of the line that passes though the point (5, 3) with a slope of - 2/5?
lukranit [14]
Point/Slope Form of an equation!

(5,3)

slope of -2/5

x= 5
y = 3

y - y1 = m(x-x1)

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

y - 3 = -2/5x + 2

y = -2/5x + 5

x intercept of 5
4 0
3 years ago
Which equation can be used to solve for in the following diagram?
g100num [7]

Answer:

Choice C should be the answer

Step-by-step explanation:

Because all of them adds up to 180 since it is a straight angle.

6 0
3 years ago
​how many meters is the circumference of a circle with a radius of 20 cm?
Harman [31]
First find the circumference of the circle.
Circumference: 2 \pi r

Plug in 20 for the radius (r).
2 \pi20 = 125.66 

The circumference of the circle is 125.66 cm.
Now to find this in meters... there are 100 centimeters in 1 meter.

Divide 125.66 by 100 to find how many meters this is.
125.66 ÷ 100 = 1.26

The circle's circumference is 1.26 meters.
4 0
4 years ago
Read 2 more answers
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