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2 years ago

Given Trinagle ABC with A(-4, -2), B(4,4), and C(18,-8), answer the following questions.

1 answer:

8 0

For the answer to the question above, the slope of segment AC is (-6/22) = -3/11.

The slopes of perpendicular lines are negative reciprocals, so
you know that the slope of the perpendicular bisector will be 11/3.

The midpoint of segment AC is (7, -5).

Now you have the slope of the perpendicular bisector, and a
point on it. You should be able to complete the equation now.

Notice how sneaky this question is. You don't need to know
point-B at all, and you don't even need to know that there's
any triangle. All you need to know is points A and C.

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What is the value of (7 + 2i)(3 - i)?

Harrizon [31]

There are two ways to work this out: normal variables or using "imaginary" numbers.

Normal variables:
$(7+2i)(3-i)\\(7*3)+[7*(-i)]+(3*2i)+[2i*(-i)]\\21-7i+6i-2i^{2}\\\\21-i-2i^{2}$

Imaginary numbers:
Using the result from earlier:
$21-i-2i^{2}$
Now since $i = \sqrt{-1}$ , then the expression becomes:
$21-i-2i^{2}\\21-i-2(\sqrt{-1})^{2}\\21-i+(-2)(-1)\\21-i+2\\\\23-i$

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2 years ago

Which of the sss-values satisfy the following inequality? 7-\dfrac s2\gt 3

Marysya12 [62]

Answer:

Step-by-step explanation:

Substitute 6 into place and solving the answer gives you 4 which is indeed bigger than 3. All the other numbers will give you an answer of something lower than 3 which is not what we're looking for in this case.

6 0

2 years ago

Read 2 more answers

Please, Help. the answer isn't 30°

vagabundo [1.1K]

The missing angle of the right triangle ABC has a measure of 30°. (Correct answer: A)

<h3>How to find a missing angle by triangle properties</h3>

Triangles are geometrical figures formed by three sides and whose sum of internal angles equals 180°. There are two kind of triangles existing in this question: (i) Right triangles, (ii) Isosceles triangles.

Right triangles are triangles which one of its angles equals 90° and isosceles triangles are triangles which two of its sides have equal measures.

According to the statement, we know that triangle BQR is an isosceles triangle, whereas triangles ABC, ANB and NBC are right triangles. Based on the figure attached below, we have the following system of linear equations based on right triangles ABC and NBC:

2 · x + 90 + θ = 180 (1)

(90 - x) + 90 + θ = 180 (2)

By equalizing (1) and (2) we solve the system for x:

2 · x = 90 - x

3 · x = 90

x = 30

And by (1) we solve the system for θ:

θ = 180 - 2 · x - 90

θ = 30

The missing angle of the right triangle ABC has a measure of 30°. (Correct answer: A) $\blacksquare$

To learn more on right triangles, we kindly invite to check this verified question: brainly.com/question/6322314

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2 years ago

What is the mean for this list of numbers? 19, 22, 24, 45

STALIN [3.7K]

Answer:

27.5

Step-by-step explanation:

To find the mean you basically just add all of the numbers then divide by how many there are.

So, for this problem, 19+22+24+45=110

110/4=27.5

Hope this helped!!

5 0

2 years ago

Which expression is the same as 57.142

densk [106]

57 wholes and 71 over 500

7 0

2 years ago