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3 years ago

Given b(x)=|x+4|, what is b(-10)? A.-10 b. -6 c. 6 d. 14

2 answers:

5 0

The equation that they have given is an absolute function meaning any outcome in this function will be POSITIVE no matter what.
For example
B(-6) = l-6 + 4l
B(-6) = l-2l or B(-6) = 2

YOUR ANSWER

B(-10) = l -10 + 4l
B(-10) = l-6l or B (-10) = 6

so therefore your answer is C. 6

maks197457 [2]3 years ago

4 0

$f(x)=\begin{cases} x \geq 0 \implies |x| = x \\ x \ \textless \ 0 \implies |x|=-x \end{cases} \\ \\ b(x)=|x+4| \\ \\ b(-10)=|-10+4| = |-6| = -(-6)=6$

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2 years ago

Find an equation of the plane consisting of all points that are equidistant from (-3, 5, -4) and (-5, 0, 4), and having -2 as th

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Answer:

-2x-5y+8z+4.5=0

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2 years ago

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The solution to #68 and #70

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The trick is to write appropriate equations and then solve the system of equations you've created.

"sum of two numbers is -5:" x + y = -5

"difference is -1:" x-y = -1

Add these two equations together. This will cause y to drop out, and you will be left with an equation in x alone:

2x = - 6, so x = -3. Subst. -3 for x in either equation, above, and find the corresponding y value.

Then write your solution as (-3, y ) (write in your value for y).

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3 years ago

Which statements about the relationship between the two triangles below are true? Check all that apply. Triangle A C D. Angle D

Karolina [17]

Answer:

Which statements about the relationship between the two triangles below are true

- Angle C is congruent to angle S (true)

- Angle D is congruent to angle T (true)

- Triangle D C A is similar to triangle T S R (true)

The rest are false.

Complete question;

Which statements about the relationship between the two triangles below are true? Check all that apply. Triangle A C D. Angle D is 60 degrees and angle A is 74.9 degrees. Triangle R S T. Angle R is 74.9 degrees and angle S is 45.1 degrees.

- Angle C is congruent to angle T

- Angle C is congruent to angle S

- Angle D is congruent to angle T

- Triangle D C A is congruent to triangle T S R

- Triangle D C A is similar to triangle T S R

- Triangle C A D is similar to triangle T R S

- Triangle C A D is congruent to triangle T R S

Step-by-step explanation:

See attached image for more information;

Angle C = 180 - (60+74.9) = 45.1°

Angle T = 180 - (74.9+45.1) = 60°

Therefore;

Angle C = Angle S = 45.1°

Angle D = Angle T = 60°

And

Triangle D C A is similar to triangle T S R

(Note the order of the letters)

The two triangles are not congruent because the length of their sides are not the same.

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2 years ago