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4 years ago

(12y2+17y-4)+9y2-13y+3)

Mathematics

1 answer:

Flura [38]4 years ago

7 0

$(12y^2+17y-4)+(9y^2-13y+3)=12y^2+9y^2+17y-13y-4+3=\\\\=21y^2+4y-1$

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If the areas of two similar decagons are 625 ft^2 and 100 ft^2, what is the ratio of the perimeters of the decagons? tf is a dec

const2013 [10]

$\text{Answer: }\frac{\text{ Perimeter of first decagon}}{\text{ Perimeter of second decagon}}=\frac{5}{2}$

Step-by-step explanation:

Since we have given that

Area of two similar decagons are 625 ft² and 100 ft² ,

As we know the relation of area of similar figures, i.e.

$\frac{\text{ Area of first decagon}}{\text{ area of second decagon}}=\frac{625}{100}=\frac{a^2}{b^2}$

Now, we also know that ,

$\frac{\text{ Perimeter of first decagon}}{\text{ Perimeter of second decagon}}=\frac{a}{b}=\frac{\sqrt{625}}{\sqrt{100}}=\frac{25}{10}=\frac{5}{2}$

Hence,

$\frac{\text{ Perimeter of first decagon}}{\text{ Perimeter of second decagon}}=\frac{5}{2}$

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4 years ago

A direct variation function contains the points (-9, -3) and (-12,4). Which equation represents the function?

Triss [41]

Answer:

$y = -\frac{7x}{3} - 24$

Step-by-step explanation:

We can model this function using the equation of a line:

$y = ax + b$

Where a is the slope of the line and b is the y-intercept.

To find the values of a and b, we can use the two points given:

(-9, -3):

$-3 = a * (-9) + b$

$-9a + b = -3$

(-12, 4):

$4 = a * (-12) + b$

$-12a + b = 4$

If we subtract the second equation from the first one, we have:

$-12a + b - (-9a + b) = 4 - (-3)$

$-12a + 9a = 4 + 3$

$-3a = 7$

$a = -7/3$

Then, finding the value of b, we have:

$-12a + b = 4$

$28 + b = 4$

$b = -24$

So the equation is:

$y = -\frac{7x}{3} - 24$

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3 years ago

A recipe for sabayon calls for 2 egg yolks, 3 tablespoons of sugar, and 1⁄4 cup of white wine. After cracking the eggs, you star

Annette [7]

Answer:

Step-by-step explanation:

A recipe for sabayon calls for 2 egg yolks, 3 tablespoons of sugar, and ¼ cup of white wine. After cracking the eggs, you start measuring the sugar, but accidentally put in 4 tablespoons of sugar. How can you compensate?

Note that we put in 4/3 more sugar than we wanted, because 3(4/3) = 4

So we need to increase eveything else by 4/3

So 2(4/3) = 8/3 = 2 +2/3 egg yolk and (1/4)(4/3) =4/12 = 1/3 cup of wine

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4 years ago

Tatiana had 20 followers on insta last week. now she has 16 followers. what is the percent of change?

Levart [38]

Answer:

20-16

4/16*100

=25%

Step-by-step explanation:

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3 years ago

Zane is putting the strings on 555 harps. Each harp has 484848 strings.

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576577 is the right answer and the right to

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3 years ago