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3 years ago

Rewrite using the distributive property : 45 + 9

Mathematics

1 answer:

mel-nik [20]3 years ago

5 0

Answer: 9(5 + 1)

<u>Step-by-step explanation:</u>

Factor out the GCF (greatest common factor) of 45 and 9, which is 9.

$9\bigg(\dfrac{45}{9}+\dfrac{9}{9}\bigg)\\\\\\=\large\boxed{9(5+1)}$

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Which graph represents the function on the interval [-3 , 3] ?<br><br> f(x)= [x]-3

seropon [69]

Answer:

the graph that best corresponds to the function in the given interval is the down left graph.

Step-by-step explanation:

Given : f(x)= [x]-3 and graph .

To find : Which graph represents the function on the interval [-3 , 3] ?

Solution : Let's evaluate the extremes of the interval in given function f(x).

X= -3, f( -3 )= [ -3 ] - 3 .

f( -3 ) = -6 .

X= 3, f( 3 )= [ 3 ] - 3 .

f( 3 ) = 0.

Therefore, the graph that best corresponds to the function in the given interval is the down left graph.

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4 years ago

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The figure shown is a rectangle. The green shape in the figure is a square. The blue and white shapes are rectangles, and the ar

VikaD [51]

Answer:

A. (2 × 6) + (3 × 8) + 6²

72 sq. inches.

B. 9 in. by 8 in.

Step-by-step explanation:

The white shape has dimensions of 2 in. by 6 in. and the green shape is a square.

So, the dimension of the green shape is 6 in. by 6 in.

Therefore, the length of the blue shape is (6 + 2) = 8 in.

Now, given that the area of the blue shape is 24 sq. in.

So, the width of the blue shape is $\frac{24}{8} = 3$ in.

Now, if we consider the total figure, then area of the entire figure = area of the white shape + area of the green shape + area of the blue shape.

= (2 × 6) + (3 × 8) + 6² (Answer)

= 12 + 24 + 36

= 72 sq, inches. (Answer)

Now, the length of the entire figure is (6 + 3) = 9 in. and width of the entire figure is (2 + 6) = 8 in.

Therefore, the dimensions of the entire figure will be 9 in. by 8 in. (Answer)

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4 years ago

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Korolek [52]

Answer:

$0.80

Step-by-step explanation:

Find the unit rate

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2 years ago

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What is the distance between (−5,−4) and (-6,4)?

Helga [31]

The distance formula is: d = sqrt( (x2 - x1)2 + (y2 - y1)2 )

For this problem, let (-5, -4) be the "first" point, so x1 = -5 and y2 = -4

and let (-6, 4) be the "second" point, so x2 = -6 and y2 = 4.

Then: d = sqrt( (-6 - -5)2 + (4 - -4)2 ) = sqrt( (-1)2 + (8)2 ) = sqrt( 1 + 64 ) = sqrt( 65)

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You would get the same final answer if you let (-5, -4) be the second point and (-6, 4) be the first point.

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3 years ago

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B-5=16 ................

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3 years ago