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inysia [295]
3 years ago
15

What does it mean for an equation to be linear? What kind of relationships can be modeled by equations in the form y=mx?

Mathematics
2 answers:
olga55 [171]3 years ago
8 0
An equation that is linear:
1. When graphed, linear equations make a [straight] line (hence the name linear).
2. Have x exponents raised to the first power (in other words, if the x-value obtains exponents that are not 1 [Note: having 1 as an exponent is just like not having an exponent given that a number raised to the first power is still that number], it isn't linear) 

Proportional relationships can be modeled in the form y = mx where m equals the slope, or constant rate of change. 


just olya [345]3 years ago
4 0
It means an equation between two variables that gives a straight line when plotted on an graph.

HOPE THIS HELPS!
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1. what’s the distance between (-8, -6) and (4, 10)?
charle [14.2K]

Use the formula of a distance between two points:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

(-8,\ -6),\ (4,\ 10)\\\\d=\sqrt{(4-(-8))^2+(10-(-6))^2}=\sqrt{12^2+16^2}\\\\=\sqrt{144+256}=\sqrt{400}=\boxed{20}\\\\(5,\ 14),\ (-3,\ -9)\\\\d=\sqrt{(-3-5)^2+(-9-14)^2}=\sqrt{(-8)^2+(-23)^2}\\\\=\sqrt{64+529}=\boxed{\sqrt{593}\approx24.35}

7 0
3 years ago
Please Help me solve this (Who ever answers correctly will get brainlest)
erastovalidia [21]

Answer:

$38.50

Step-by-step explanation:

We are told the cost of the fabric per meter, so we first need to convert 250 cm into meters.

1 meter = 100 cm

Therefore, 250 cm = 250 ÷ 100 = 2.5 meters

cost of fabric = $15.40 per meter

To calculate the total cost, mulitply the length in meters by 15.40:

2.5 x 15.40 = 38.50

7 0
1 year ago
Read 2 more answers
If the product of two positive fractions a and b is 15/56, find three pairs of possible values for a and b
Andrews [41]

Answer:

First possible pairs = (3/7)*(5/8) = 15/56

second possible pairs = (3/4)*(5/14) = 15/56

third possible pairs = (1/2)*(15/28) = 15/56

Step-by-step explanation:

According to the question,

a x b = 15/56

three possible pairs will be as follows:

Before proceeding to make possible pairs, we have to know the prime factorization of the numbers -

15 = 1, 3, 5, 15

56 = 1, 2, 4, 7, 8, 14, 28, 56

As we need three possible pairs, we have to check which pairs take us to 15/56. Again, since the fraction is positive, therefore, the fractions will be proper. Therefore, 3/2, or 5/4 will not be counted. Therefore,

First possible pairs = (3/7)*(5/8) = 15/56

second possible pairs = (3/4)*(5/14) = 15/56

third possible pairs = (1/2)*(15/28) = 15/56

fourth possible pairs = (3/8)*(5/7) = 15/56

So, we can get those four possible pairs. Among those, first 3 pairs are different. Therefore, those are possible pairs.

4 0
2 years ago
the direction angle for vectors 135° the X component of the vector is -3 what is the Ywhat is what what is the Y component of th
blagie [28]
Well, the X component (assuming x is the horizontal) is equal to RCosZ

Where Z is the angle and R is the size of the resultant

Substitute into formula :

X component = RcosZ
-3 = Rcos135°
R = -3/cos135°
R = 4.24264...
R = 4.24 (2dp)

The vertical component (or Y component) is equal to RSinZ

Vertical component = RSinZ
= 4.24264... × Sin135°
= 3

The answer is 3

Please feel free to ask any questions you have
3 0
3 years ago
I don’t really understand how you figure out the points of a figure on rotation, please explain!
Basile [38]
To rotate a figure
90 degrees(-y,x)
180 degrees(-x,-y)
270 degrees(y,-x)
If your original point is (1,2) or example and you want to rotate it say 270 degrees the final point would be (2,-1)
Hope this helped!!!!!
6 0
2 years ago
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