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Airida [17]
3 years ago
15

Write a proportion for each of the following equations and perform all changes: 2·9=3·6

Mathematics
1 answer:
AleksAgata [21]3 years ago
7 0

Answer:

1 : 3

Step-by-step explanation:

We are given an equation 2 × 9 = 3 × 6

So, we have to write a proportion for this equation performing all changes.

Now, we write the equation as follows:

2 × 9 = 3 × 6

⇒ \frac{2}{6} = \frac{3}{9}

Therefore, this is the proportion for this equation and this is 2 : 6 ≡ 3 : 9 ≡ 1 : 3 (Answer)

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Find the slope of the line passing through the points (7, -1) and (2, -8).
Ugo [173]

Answer:

\frac{4}{5}

Step-by-step explanation:

We have to use the slope formula: m = slope

(x1, y1) = coordinates of the first point in the line

(x2, y2) = coordinates of the second point in the line

Here, we'll plug into our given points to give; \frac{7--1}{2--8}

Solving this, we get, \frac{8}{10}, but we're not done, as this fraction can be reduced.

Diving both sides of the fraction by 2, we get our final answer of \frac{4}{5}.

8 0
3 years ago
Find the area of the figure <br><br> Please help :)
ASHA 777 [7]

9514 1404 393

Answer:

  372 m²

Step-by-step explanation:

A vertical line down the center of the figure will divide it into two congruent trapezoids, each with bases 13 and 18, and height 12.

The area of one of them is ...

  A = 1/2(b1 +b2)h

So, the area of the two of them together is ...

  A = (2)(1/2)(b1 +b2)h = (b1 +b2)h

  A = (13 m + 18 m)(12 m) = 372 m²

6 0
3 years ago
Please help ASAP need help
Svetllana [295]
What do you need help with ASAP?
7 0
3 years ago
What is the equation of the axis of symmetry of the graph of y + 3x – 6 = –3(x – 2)2 + 4?
asambeis [7]

ANSWER

x =\frac{3}{ 2}

EXPLANATION

The given equation is

y + 3x - 6 =  - 3(x - 2)^{2}  + 4

Expand the parenthesis:

y  + 3x - 6 =  - 3( {x}^{2}  - 4x + 4) + 4

y  + 3x - 6 =  - 3 {x}^{2}   + 12x +  - 12 + 4

Write in standard form:

y =  - 3 {x}^{2}   + 12x  - 3x+  - 12 + 4 + 6

y =  - 3 {x}^{2}   + 9x-2

where

a=-3,b=9,c=-2

The axis of symmetry is given by the formula:

x =  -  \frac{b}{2a}

Plug the values to get:

x =  -  \frac{9}{ 2(- 3)}

x =\frac{3}{ 2}

The equation of axis of symmetry is

x =\frac{3}{ 2}

7 0
3 years ago
Read 2 more answers
Write in slope intercept form of an equation of the line through (5,-2) with a slope of 3/5
aliina [53]
Hope it helps :))
Here is the working

5 0
3 years ago
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