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astra-53 [7]
3 years ago
8

 What is the distance from P(2, –5) to the line y = –8? a. –6 b. 3 c. 5 d. 10

Mathematics
1 answer:
hjlf3 years ago
7 0
Plotting that point puts us at a y value of -5 (the y coordinate of the point P). y=-8 is a straight horizontal line through y=-8, so the distance from -5 to -8 is 3.  Remember that distance is never negative.  Distance is measured using the absolute value of the numbers. So b is your choice.
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Step-by-step explanation:

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Which symbol is used to name a line with two points A and B
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Step-by-step explanation:

I think that's the answer

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Step-by-step explanation:

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2 years ago
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Please help me with this.
OLga [1]

Swapping rows alters the sign of the determinant:

\begin{vmatrix} x & y & z \\ -8 & 2 & -12 \\ u & v & w \end{vmatrix} = - \begin{vmatrix} x & y & z \\ u & v & w \\ -8 & 2 & -12 \end{vmatrix}

Multiplying a single row by a scalar scales the determinant by the same amount:

\begin{vmatrix} x & y & z \\ u & v & w \\ -8 & 2 & -12 \end{vmatrix} = -2 \begin{vmatrix} x & y & z \\ u & v & w \\ 4 & -1 & 6 \end{vmatrix}

Then

\begin{vmatrix} x & y & z \\ -8 & 2 & -12 \\ u & v & w \end{vmatrix} = -(-2) \begin{vmatrix} x & y & z \\ u & v & w \\ 4 & -1 & 6 \end{vmatrix} = 2\times(-6) = \boxed{-12}

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2 years ago
Fill in the blanks please
ycow [4]

Answer:

Step-by-step explanation:

MNOP is a parallelogram             Given

PM // ON                                     opposite sides of parallelogram are parallel

∠ NOM = ∠ONP                          Alternate angles theorem

MN // OP                                  opposite sides of parallelogram are parallel

∠NOP =∠ MNO                     Alternate angles theorem

ON = ON                               common to both triangles ΔOMN & ΔONP

ΔOMN ≅  ΔONP                   ASA congruent

PM ≅ ON                          CPCT -Corresponding Part of Congruent triangle

6 0
3 years ago
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