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Oksana_A [137]
2 years ago
14

Solve the proportional equation 3/r = 5/r+3

Mathematics
1 answer:
romanna [79]2 years ago
6 0

Answer:

r=9/2 or 4.5

Step-by-step explanation:

First of all our goal is to get R by itself

by cross multiplying we get,

(r+3)*3=5r

by distributive property we get

3r+9=5r

substracting 3r from both sides we get

9=2r

by dividing by 2 in both sides we get

r=9/2 or 4.5

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An integer is three more than another integer. Twice the larger integer is two less
Amiraneli [1.4K]

Answer:

The integers are 4 and 7 or -2 and 1.

Step-by-step explanation:

You can make a system of equations with the description of the two integers.

1. x = y + 3

2. 2x + 2 = y^2

The simplest and the fastest way to solve this system in this case is substitution. You can substitute x for y + 3 in the second equation.

1. x = y + 3

2. 2(y + 3) + 2 = y^2

Now simplify and solve the second one. For convenience, I will just disregard the first equation for now.

2y + 6 + 2 = y^2

y^2 - 2y - 8 = 0

You can factor this equation to solve for y.

(y - 4) (y + 2) = 0

y = 4, y = -2

Now we can substitute the value of y for x in the first equation.

x = 7, x = 1

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3 years ago
How to solve stacked similar figures
Aleonysh [2.5K]

Answer:

Step-by-step explanation:

You can identify similar polygons by comparing their corresponding angles and sides. As you see in the following figure, quadrilateral WXYZ is the same shape as quadrilateral ABCD, but it’s ten times larger (though not drawn to scale, of course). These quadrilaterals are therefore similar.

similar polygons: For two polygons to be similar, both of the following must be true:

Corresponding angles are congruent.

Corresponding sides are proportional.

To fully understand this definition, you have to know what corresponding angles and corresponding sides mean. (Maybe you’ve already figured this out by just looking at the figure.) Here’s the lowdown on corresponding. In the figure, if you expand ABCD to the same size as WXYZ and slide it to the right, it’d stack perfectly on top of WXYZ.

4 0
2 years ago
What is 2/3 times 1/4
barxatty [35]
(2/3)(1/4)=
2/12=
1/6
multiply the numerators by the numerators, (top numbers)
and the denominators by the denominators, (bottom numbers)
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3 years ago
Find the equation of the axis of symmetry and the coordinates of vertex of the functions =2x^2+4x-3
SVEN [57.7K]
Hello,

Find the equation of the axis of symmetry is like find the maximum or minimum point of this function.

f(x)=2x^2+4x-3\\\\\alpha=-\dfrac{b}{2a}=-\dfrac{4}{4}=-1\\\\

The equation of the axis of symmetry is then :   x=-1

\beta=f(\alpha)=2(-1)^2+4(-1)-3=2-4-3=-5

Coordinates of vertex :   (\alpha,\beta)=(-1;-5)
8 0
3 years ago
Victor bought a Nintendo Game Boy that cost $68. He received $32 in change.
I am Lyosha [343]
68+32=100 he used a $100 bill
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3 years ago
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