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1 year ago

In the diagram, AC=BD=17 and BC=3. The length of segment AD is

1 answer:

7 0

The length of ad would also have to be the three also. This is logically because ac and bd would be the two going across making them equal. This meaning to connect the lines together if they were parallel bc and ad lengths would be equivalent.

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The nth term of a sequence is 2n2 − 1 The nth term of a different sequence is 40 − n2 Show that there is only one number that is

allsm [11]

Answer:

Step-by-step explanation:

nth term of a sequence = 2n² - 1

Therefore, terms of the sequence will be,

1, 7, 17, 31, 49, ........... n terms

nth term of a different sequence = 40 - n²

Therefore, terms of the sequence will be,

39, 36, 31, 24, 15, 4, -9, -24 .......... n terms

Since, there is no negative number in the first sequence,

Therefore, out of 6 positive terms of second sequence only one number (31) is common in both the sequences.

5 0

1 year ago

A business breaks even when the production costs are equal to the revenue. The expression 120+4x represents the cost of producin

nika2105 [10]

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

The expression 120+4x represents the cost of producing x items. The selling price is $5 for each item.

<u>The net income formula:</u>

y= (5 - 4)x - 120

(5-4)= contribution margin per unit sold (x)

120= fixed costs

<u>To calculate the break-even point in units, we need to use the following formula:</u>

Break-even point in units= fixed costs/ contribution margin per unit

Break-even point in units= 120 / 1

Break-even point in units= 120 units

Prove:

y= 1*120 - 120

y= 0

5 0

1 year ago

3. You have a square plot of land that has an area of 144 square feet. You

ElenaW [278]

Answer:

113.04square feet

Step-by-step explanation:

square root of 144 is 12

use it as the dimensions of the plot.

the flower gardens largest possible diameter is 12

so divide 12 by a half

6=radius

3.14 times 6squared

you get 113.04

3 0

2 years ago

On Monday, 449 students went on a trip to the zoo. All 9 buses were filled and 8 students had to travel in cars. How many studen

mr_godi [17]

Answer:

Each bus could pick up 49 students

Step-by-step explanation:

(449-8):9=49

4 0

2 years ago

Read 2 more answers

Which statement justifies that 3x2 − 2x − 4 multiplied by 2x2 + x − 3 obeys the closure property of multiplication? The result 6

zalisa [80]

We have been given two polynomials $3x^2-2x -4 \text{ and } 2x^2+x-3$

Let us first multiply these polynomials.

$(3x^2 - 2x - 4)(2x^2 + x - 3)\\
\\
=3x^2(2x^2 + x - 3) -2x(2x^2 + x - 3)-4(2x^2 + x - 3)\\
\\
=6 x^4 - x^3 - 19 x^2 + 2 x + 12$

Now, we know that polynomials follows closure property of multiplication.

It means that when we multiply two polynomials, the result will be a polynomial.

Since, when we multiplied the given polynomials, we got $6 x^4 - x^3 - 19 x^2 + 2 x + 12$ which is a polynomial.

Therefore, the correct option is

The result $6 x^4 - x^3 - 19 x^2 + 2 x + 12$ is a polynomial.

4 0

1 year ago