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padilas [110]
4 years ago
11

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

Mathematics
2 answers:
RideAnS [48]4 years ago
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]4 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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In the coordinate plane, the point A, 4− 2 is translated to the point A′, 1− 5. Under the same translation, the points B, 7− 4 a
Inga [223]

Answer:

The coordinates of B' and C' are B'(x,y) = (4, -7) and C'(x,y) = (-1, -8), respectively.

Step-by-step explanation:

From the Linear Algebra, we define the translation of a given point as:

O'(x,y) = O(x,y) + T(x,y) (1)

Where:

O(x,y) - Original point, dimensionless.

T(x,y) - Translation vector, dimensionless.

O'(x,y) - Translated point, dimensionless.

If we know that A'(x,y) = (1, -5) and A(x,y) = (4,-2), then the translation vector is:

T(x,y) = A'(x,y)-A(x,y) (2)

T(x,y) = (1,-5)-(4,-2)

T(x,y) = (-3,-3)

If we know that B(x,y) = (7,-4), C(x,y) = (2,-5) and T(x,y) = (-3,-3), then the translated points are, respectively:

B'(x,y) = B(x,y)+T(x,y) (3)

B'(x,y) = (7,-4) +(-3,-3)

B'(x,y) = (4, -7)

C'(x,y) = C(x,y) +T(x,y)

C'(x,y) = (2,-5) + (-3,-3)

C'(x,y) = (-1, -8)

The coordinates of B' and C' are B'(x,y) = (4, -7) and C'(x,y) = (-1, -8), respectively.

5 0
3 years ago
If SU and VX are parallel lines and mUTW = 131°, what is mVWT?
TiliK225 [7]

<u>Answer:</u>

∠VWT = 131°

<u>Explanation:</u>

∠VWT is equal to ∠UTW because they are Alternate inner angles. Since they are equal, we know that the measure of ∠VWT is 131°.

Hoped this helped!

4 0
3 years ago
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Vlada [557]

Answer:

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Step-by-step explanation:

(-4)(5)+(-3)(-2)

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