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3 years ago

Name a pair of fractions that use the least common denominator and are equivalent to 9/10 + 5/6

Mathematics

2 answers:

grin007 [14]3 years ago

6 0

The smallest common denominator is 30 in so
9/10=27/30 and 5/6=25/30 are your answers ; ]

adoni [48]3 years ago

5 0

The denominators 6 and 10 both have 30 in common. So lets get the common denominator.
it is 9/10=27/30 and 5/6=25/30.
It should be 27/30+25/30 which is 52/30 which can be simplified down to 26/15. This is your final answer

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X – 1 + 2x ≤ x + 3 --- --- 2 4

Paraphin [41]

X – 1 + 2x ≤ x + 3
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5 0

3 years ago

Which expression is equivalent to (7x+9y)2

Arada [10]

Answer:

$49x^2+126xy+81y^2$

Step-by-step explanation:

Use the square of a binomial theorem

$(a+b)^2$ = $a^2+2ab+b^2$

Now expand the given equation:

$(7x+9y)^2=49x^2+126xy+81y^2$

Hope this helps :)

Have a great day!

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2 years ago

The graph of a function, ƒ( x), is plotted on the coordinate plane. Select two of the following functions that would move the gr

Alex17521 [72]

Answer:

The following functions would move the graph of the function to the right on the coordinate plane.

C) $f(x-3)+1$

G) $f(x-5)$

Step-by-step explanation:

We need to check for those functions which shows a horizontal shift of graph to the right.

Translation Rules:

Horizontal shift:

$f(x)\rightarrow f(x+c)$

If $c>0$ the function shifts $c$ units to the left.

If $c$ the function shifts $c$ units to the right.

Vertical shift:

$f(x)\rightarrow f(x)+c$

If $c>0$ the function shifts $c$ units to the up.

If $c$ the function shifts $c$ units to the down.

Applying rules to identify the translation occuring in each of the given functions.

A) $f(x+2)-7$

Translation: $f(x)\rightarrow f(x+2)-7$

The translation shows a shift of 2 units to the left and 7 units down.

B) $f(x)-3$

Translation: $f(x)\rightarrow f(x)-3$

The translation shows a shift of 3 units down.

C) $f(x-3)+1$

Translation: $f(x)\rightarrow f(x-3)+1$

The translation shows a shift of 3 units to the right and 1 units up.

D) $f(x)+4$

Translation: $f(x)\rightarrow f(x)+4$

The translation shows a shift of 4 units up.

F) $f(x+6)$

Translation: $f(x)\rightarrow f(x+6)$

The translation shows a shift of 6 units to the left.

G) $f(x-5)$

Translation: $f(x)\rightarrow f(x-5)$

The translation shows a shift of 5 units to the right.

4 0

2 years ago

What is the area of the shape below

Bad White [126]

Answer:

The area of the shape is $A=886 \:cm^2$ .

Step-by-step explanation:

The shape in the graph is a composite figure is made up of several simple geometric figures such as triangles, and rectangles.

Area is the space inside of a two-dimensional shape. We can also think of area as the amount of space a shape covers.

To calculate the area of a composite shape you must divide the shape into rectangles, triangles or other shapes you can find the area of and then add the areas back together.

First separate the composite shape into three simpler shapes, in this case two rectangles and a triangle. Then find the area of each figure.

To find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle.

The area of the first rectangle is $A=34\cdot 16=544\:cm^2$