Find the cubic unit make sure to put cubic units after your answer

Tell whether you can reach each type of conclusion below using coordinate

Korvikt [17]

The answer to all of them is yes.

6) The lengths of AB and CD using the distance formula. (because congruent segments have equal length)

7) The slopes of AB and CD are equal using the slope formula. (because parallel segments have equal slopesL

8) The slopes of AB and CD are negative reciprocals using the slope formula. (because perpendicular lines have slopes that are negative reciprocals)

9) The two segments that CD is split into by AB have equal length using the distance formula. (because a segment bisector splits a segment into two congruent segments, and congruent segments have equal length)

10) Angles CAB and DAB have the same measure using the angle between two lines formula. (Because an angle bisector splits an angle into two congruent angles, and congruent angles have equal measure)

11) Angles A and B have the same measure using the angle between two lines formula. (Because an angle bisector splits an angle into two congruent angles, and congruent angles have equal measure)

12) The lines that form angle A have slopes that are negative reciprocals using the slope formula. (because perpendicular lines have slopes that are negative reciprocals, and perpendicular lines form right angles)

13) The lengths of AB and AC combined equal the length of AC using the distance formula.

14) Two sides of triangle ABC have equal length using the distance formula.

15) All four sides of ABCD have the same length using the distance formula.

16) Letting AB and CD meet at E, the distance formula says AE=BE and CE=DE.

7 0

2 years ago

What equation results from completing the square and then factoring? x2+4x=7

Musya8 [376]

Answer:

(x+2) ^2 =11

Step-by-step explanation:

x^2+4x=7

To complete the square, take the coefficient of the x term, 4

Then divide by 2, 4/2 =2

Then square it 2^2 =4

Add that to both sides

x^2 +4x+4 = 7+4

The left hand side can be rewritten as (x+b/2) ^2 where b is the coefficient of the x term

(x+2) ^2 =11

7 0

3 years ago

Which expressions are equivalent to z + (z + 6)z+(z+6)z, plus, left parenthesis, z, plus, 6, right parenthesis ?

bagirrra123 [75]

Answer:

5 lolsjjhgjh h h gh h h hh f ggugy

4 0

3 years ago

Multiply the polynomials (x + 3) (2x - 4). What is the product in the form ax2 + bx + c? Enter your answers in the boxes.

Anvisha [2.4K]

The answer is 2x2+2x-12

3 0

3 years ago

A quality-control manager for a company that produces a certain soft drink wants to determine if a 12-ounce can of a certain bra

tensa zangetsu [6.8K]

Answer:

We conclude that the average calorie content of a 12-ounce can is greater than 120 calories.

Step-by-step explanation:

We are given that a quality-control manager for a company that produces a certain soft drink wants to determine if a 12-ounce can of a certain brand of soft drink contains 120 calories as the labeling indicates.

Using a random sample of 10 cans, the manager determined that the average calories per can is 124 with a standard deviation of 6 calories.

Let $\mu$ = average calorie content of a 12-ounce can.

So, Null Hypothesis, $H_0$ : $\mu \leq$ 120 calories {means that the average calorie content of a 12-ounce can is less than or equal to 120 calories}

Alternate Hypothesis, $H_A$ : $\mu$ > 120 calories {means that the average calorie content of a 12-ounce can is greater than 120 calories}

The test statistics that would be used here One-sample t test statistics as we don't know about the population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample average calories per can = 124 calories

s = sample standard deviation = 6 calories

n = sample of cans = 10

So, test statistics = $\frac{124-120}{\frac{6}{\sqrt{10} } }$ ~ $t_9$

= 2.108

The value of t test statistics is 2.108.

Now, at 0.05 significance level the t table gives critical value of 1.833 at 9 degree of freedom for right-tailed test. Since our test statistics is more than the critical values of t as 2.108 > 1.833, so we have sufficient evidence to reject our null hypothesis as it will in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that the average calorie content of a 12-ounce can is greater than 120 calories.

7 0

3 years ago