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3 years ago

What is the answer to this : Expand y(y + 10)

1 answer:

7 0

When expanding brackets, you have to multiply whatever is outside by everything on the inside
The calculations you would do are
y x y
y x 10

Whenever a value is multiplied by itself once, we describe it as the value squared (²)
y x y can be written as y²

y x 10 is the same as 10 lots of y
In algebra, we don't write multiplication signs as it can get confusing so we write the number directly in front of the letter 10y

When put together, y(y + 10) expanded is

y² + 10y

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Rasheed bought two kinds of candy bars, chocolate and toffee, that came in packages of 2 bars each. He handed out 2/3 of the cho

Contact [7]

Answer:

9 packages of chocolate bars

Step-by-step explanation:

Let he bought c packages of chocolate bars and t packages of toffee bars,

Since, he bought 1 fewer package of chocolate bars than toffee bars.

⇒ c = t - 1 -----(1)

Also, he handed out out $\frac{2}{3}$ of the chocolate bars and $\frac{3}{5}$ of the toffee bars,

If he handed out the same number of each kind of candy bar.

$\implies \frac{2}{3}\times c=\frac{3}{5}\times t$

$10c = 9t$ ( By cross multiplication )

$\implies t=\frac{10}{9}c$ ( Division property of equality )

From equation (1),

$c=\frac{10}{9}c-1$

$1=\frac{10}{9}c-c$

$1=\frac{10c-9c}{9}$

$1=\frac{c}{9}$

$\implies c = 9$

Hence, he bought 9 packages of chocolate bars.

4 0

2 years ago

Determine value of k

Ipatiy [6.2K]

72+k is equal to 180. So if you set up a equation if looks like:

72+k=180

Subtract 72 from both sides

K=108°

Your answer is 108°

3 0

3 years ago

Identify the coordinates of the vertices of each figure after the similarity transformation.

bija089 [108]

Answer:

After translation:

Translation: (x, y) → (x-6, y-8)

W'X'Y'Z' = W'(-10, 0), X'(-10, -8), Y'(-18, -4), Z'(-14, 8)

After dilation:

Dilation: (x, y) → (2x, 2y), centered at (0, 0)

W''X''Y''Z'' = W'' (-20, 0), X'' (-8, 0) , Y'' (-24, 8), Z'' (-16, 32)

Step-by-step explanation:

Given the vertices of the Quadrilateral WXYZ

W(-4, 8)

X(-4, 0)

Y(-12, 4)

Z(-8, 16)

As the rule of translation is given by

Translation: (x, y) → (x-6, y-8)

So, after the translation the vertices of Quadrilateral WXYZ will be translated as:

W(-4, 8) → (x-6, y-8) ⇒ (-4-6, 8-8) = W'(-10, 0)

X(-4, 0) → (x-6, y-8) ⇒ (-4-6, 0-8) = X'(-10, -8)

Y(-12, 4) → (x-6, y-8) ⇒ (-12-6, 4-8) = Y'(-18, -4)

Z(-8, 16) → (x-6, y-8) ⇒ (-8-6, 16-8) = Z'(-14, 8)

Therefore,

W'X'Y'Z' = W'(-10, 0), X'(-10, -8), Y'(-18, -4), Z'(-14, 8)

Next, the rule of dilation is given by

Dilation: (x, y) → (2x, 2y), centered at (0, 0)

W'(-10, 0) → (2x, 2y) ⇒ (2(-10), 2(0)) = W'' (-20, 0)

X'(-4, 0) → (2x, 2y) ⇒ (2(-4), 2(0)) = X'' (-8, 0)

Y'(-12, 4) → (2x, 2y) ⇒ (2(-12), 2(4)) = Y'' (-24, 8)

Z'(-8, 16) → (2x, 2y) ⇒ (2(-8), 2(16)) = Z'' (-16, 32)

Therefore,

W''X''Y''Z'' = W'' (-20, 0), X'' (-8, 0) , Y'' (-24, 8), Z'' (-16, 32)

8 0

2 years ago

Use the Distributive Property to write each expression as an equivalent expression. Then evaluate it.

Alla [95]

Distributive property means that you must multiply the number directly outside the parentheses to all the numbers inside the parentheses

Look at the image below for the work!

Hope this helped!

5 0

3 years ago

Please help yall I gotta pass this test

Stella [2.4K]

Answer:

12.05

is the answer I think

7 0

2 years ago