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4 years ago

When do two ratios form a proportion?

Mathematics

2 answers:

Karo-lina-s [1.5K]4 years ago

8 0

A proportion is when two ratios are equal.

For example the ratio 10:5 is equal to the ratio 2:1, therefore this is a proportion.

umka21 [38]4 years ago

5 0

when they are equal

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The vertex of this parabola is at (-2,-3). When the y-value is -2, the x-value is -5. What is the coefficient of the squared ter

ra1l [238]

Answer:

The coefficient of the squared term of the equation is 1/9.

Step-by-step explanation:

We are given that the vertex of the parabola is at (-2, -3). We also know that when the y-value is -2, the x-value is -5. Using this information we want to find the cofficient of the squared term in the parabola's equation.

Since we are given the vertex, we can use the vertex form:

$\displaystyle y=a(x-h)^2+k$

Where a is the leading coefficient and (h, k) is the vertex.

Since the vertex is (-2, -3), h = -2 and k = -3:

$\displaystyle y=a(x-(-2))^2+(-3)$

Simplify:

$y=a(x+2)^2-3$

We are also given that y = -2 when x = -5. Substitute:

$(-2)=a(-5+2)^2-3$

Solve for a. Simplify:

$\displaystyle \begin{aligned} -2&=a(-3)^2-3\\ 1&=9a \\a&=\frac{1}{9}\end{aligned}$

Therefore, our full vertex equation is:

$\displaystyle y=\frac{1}{9}(x+2)^2-3$

We can expand:

$\displaystyle y=\frac{1}{9}(x^2+4x+4)-3$

Simplify:

$\displaystyle y=\frac{1}{9}x^2+\frac{4}{9}x-\frac{23}{9}$

The coefficient of the squared term of the equation is 1/9.

3 0

3 years ago

The number of chocolates sold can be determined by the equation: P=$.63c, where P is the price and c is the number of chocolates

balu736 [363]

Answer:

p = price

0.63 = price of each piece of chocolate

c = number of pieces of chocolate

just multilply the number of pieces of chocolate by 0.63 to get the total price

Step-by-step explanation:

5 0

4 years ago

Read 2 more answers

2 over 5 x= 10 solve for x show your work

Sphinxa [80]

$\frac{2}{5}x= 10$

We need to solve for x

To get x alone we need to remove the denominator 5

To remove denominator 5 we multiply by 5 on both sides

$5*\frac{2}{5}x= 10*5$

2x = 50

2x means 2 times x

2 is multiplied with x. so to remove 2 we divide by 2

$\frac{2x}{2}= \frac{50}{2}$

So x= 25

8 0

3 years ago

Read 2 more answers

0.6w = 0.48 how u do this

vovangra [49]

A variable next to any number means to multiply, so we would do the inverse operation -- We would divide 0.48 by 0.6, which is 0.8. Therefore, W=0.48. To check your work, multiply 0.6 by 0.8, and what do you know? It's 0.48! :)

3 0

3 years ago

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For the pair of similar triangles, find the value of x.

RUDIKE [14]

Answer: 26

Step-by-step explanation:

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2 years ago