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dusya [7]
3 years ago
14

Find the area of a square with a side measure of 3x − 6 feet. Question 5 options: 9x2−36x+36 sq. ft. 9x2−6 sq. ft. 9x2+36x+36 sq

. ft. 9x2+36 sq. ft.
Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
4 0

Answer:

9x^2 - 36x + 36 sq. ft.   (the first option).

Step-by-step explanation:

Area of a square of side  d = d^2.

So area of this square = (3x - 6)^2

=  (3x - 6)(3x - 6)

= 3x(3x - 6) - 6(3x - 6)

= 9x^2 - 18x - 18x + 36

= 9x^2 - 36x + 36 sq ft.

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Figures A and B at right are similar. Assuming that figure A is the original figure, find the scale factor and find the lengths
AnnZ [28]

The scale factor is: 1/5.

The missing sides of figure B are: 2.4, 3.6, and 4.

<h3>How to find Scale Factor?</h3>

Scale factor = dimension of new figure / dimension of original figure

The polygons given are shown in the diagram attached below.

Figure A is the original figure

Figure B is the new figure.

x, y, and z has been used to mark the missing sides of figure B.

One dimension of original figure = 15

Corresponding dimension of the new figure = 3

Scale factor = new/original = 3/15

Scale factor = 1/5

To find the missing sides of figure B, multiply each corresponding side lengths of Figure A by the scale factor:

x = 12 × 1/5 = 2.4

y = 18 × 1/5 = 3.6

z = 20 × 1/5 = 4

In summary:

The scale factor is: 1/5.

The missing sides of figure B are: 2.4, 3.6, and 4.

Learn more about scale factor on:

brainly.com/question/2826496

3 0
3 years ago
suppose there is a 1.1 degree F drop in temperature every thousand feet that an airplane climbs into the sky. if the temp on the
Aleks04 [339]

For this case, the first thing we must do is define variables.

We have then:

x: altitude of the plane in feet

y: final temperature

The equation modeling the problem for this case is given by:

y = - \frac{1.1}{1000} x + 59.7

Thus, evaluating the function for x = 11,000 ft. Height we have:

y = - \frac{1.1}{1000} (11000) +59.7

y = 47.6

Answer:

the temperature at an altitude of 11,000 ft is 47.6 F

4 0
3 years ago
Read 2 more answers
1.what is the slope of the line passing through the points (1,-5) and (4,1)?
hoa [83]

Answer:

C. 2

Step-by-step explanation:

Slope = (y2-y1) / (x2-x1) , (x1,y1) = (1,-5) , (x2,y2)=(4,1)

= (1-(-5)) / (4-1)

= (1+5) / 3

= 6/3

= 2

3 0
2 years ago
Evaluate the factorial.<br> 11!
Dafna11 [192]

Answer:

The factorial of 11! is exactly 39916800

The number of trailing 0s in 11! is 2

The number of digits in 11 factorial is 8.

The factorial of 11 is calculated as below:

11! = 11 • 10 • 9 • 8 • 7 ... 3 • 2 • 1

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Suppose an opaque jar contains 3 red marbles and 10 green marbles. The following exercise refers to the experiment of picking tw
kow [346]

Answer:

\frac{5}{13}

Step-by-step explanation:

Given,

Red marbles = 3,

Green marbles = 10,

So, the total marbles = 3 + 10 = 13,

\because \text{Probability}=\frac{\text{Favourable outcomes}}{\text{Total outcomes}}

Since, here replacement is not allowed,

Thus, the probability of getting a green marble and a red marble

= first red and second green + first green second red

=\frac{3}{13}\times \frac{10}{12}+\frac{10}{13}\times \frac{3}{12}

=2\times \frac{3}{13}\times \frac{10}{12}

=\frac{30}{78}

=\frac{5}{13}

Note : The probability of getting a green marble first and a red marble second

= \frac{10}{13}\times \frac{3}{12}

=\frac{30}{156}

=\frac{5}{26}

4 0
3 years ago
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