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kumpel [21]
3 years ago
9

What rations form a proportion ?

Mathematics
1 answer:
igomit [66]3 years ago
7 0
⅔ and 8/12 form a proportion.
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Find the solution in slope-intercept form y+7=-3(x-1) and 3x+y=-4
Svetach [21]

Answer:

The slope intercept form of both given equations is : y =  - 3 x - 4.

Step-by-step explanation:

Here, the given equations are:

y +7 = -3 ( x - 1 )

and 3 x + y = - 4

Now,the SLOPE INTERCEPT FORM of any given equation is given as:

y = m x + C : here, C = Y - intercept, m = Slope

Consider equation (1):

y +7 = -3 ( x - 1 )    ⇒ y + 8 = - 3 x  + 3

or, y = -3x + 3 - 7 = -3x - 4

 ⇒ y =  -3x  -4

Hence, the slope-intercept form of the given equation is y =  -3x  -4.

Consider equation (2):

3 x + y = - 4    ⇒ y  = -4  - 3 x

 ⇒ y =  -3 x  - 4

Hence, the slope-intercept form of the given equation is y =  -3x  -4.

6 0
3 years ago
If XY=18, YZ=14, and XZ=20, find the radius of each circle.
Pachacha [2.7K]
Let`s assume that points M, N and P are the touching points of those 3 circles:Then:Y M + M Z = 14,Z N + N X = 20X P + P Y = 18And also: M Z = ZN, Y M = P Y and N X = X P.Now we have a system of 3 equations ( Y M, M Z and X P  are the radii of each circle ):Y M + M Z = 14M Z + X P = 20X P + Y M = 18 Y M - M Z = - 14+X P  + Y M = 18 X P - M Z  = 4Y M - M Z = - 14+M Z + X P = 20 X P - Y M = 6  /* ( - 1 )X P  - M Z = 4 X P + Y M = - 6  X P - M Z = 4    Y M - M Z = - 2           Y M + M Z = 14            2 Y M = 12  =>  Y M = 6M Z - 6 = 2  =>   M Z = 8X P + 6 = 18 
 X P = 12
Radii of the circles are: 12, 8 and 6. 
8 0
3 years ago
An item costs $45.60. If there is a 30% discount on the item, what is the discounted cost of the item?
kondor19780726 [428]
Discounted Cost= Cost of Item - (Cost of Item * % Discount)


= $45.60 - ($45.60 * 30%)
convert % to decimal (30% ÷ 100)

= 45.60 - (45.60 * 0.30)
multiply in parentheses

= 45.60 - 13.68

= $31.92 discounted cost


ANSWER: The discounted cost of the item is $31.92 (savings of $13.68).

Hope this helps!  :)
6 0
3 years ago
(-3,2) and ( 2,-13) slope intercept equation
Georgia [21]

Given:

The points are (-3, 2) and (2, -13).

To find:

Slope-intercept form of the equation.

Solution:

Here x_1=-3, y_1=2, x_2=2, y_2=-13.

Slope of the line:

$m=\frac{y_2-y_1}{x_2-x_1}

$m=\frac{-13-2}{2-(-3)}

$m=\frac{-15}{5}

m = -3

Using point-slope formula:

y-y_1=m(x-x_1)

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

y-2=-3(x+3)

y-2=-3x-9

Add 2 on both sides.

y-2+2=-3x-9+2

y=-3x-7

Slope-intercept form of the equation is y = -3x - 7.

8 0
3 years ago
Tell me something <333 ^^
nexus9112 [7]

Answer:

Hi I hope you have a wonderful day!!

Step-by-step explanation:

I hope this makes your day :))!

4 0
3 years ago
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