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yuradex [85]
3 years ago
6

What is the image of (-5,1) after a dilation by a scale factor of 5 centered at the origin?

Mathematics
1 answer:
ankoles [38]3 years ago
5 0

AnswStep-by-step explanation:

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Find parametric equations and symmetric equations for the line. (Use the parameter t.) The line through (4, −5, 2) and parallel
Nataliya [291]

Answer:

Step-by-step explanation:

From the given information, the symmetric equations for the line pass through(4, -5, 2) i.e (x_o, y_o, z_o) and are parallel to \dfrac{x+5}{1} = \dfrac{y}{2}= \dfrac{z-3}{1}

The parallel vector to the line i + zj+k = ai + bj + ck

Hence, the equation for the line is :

x = x_o + at \\ \\ x = y_o + bt \\ \\ x = z_o + ct

x = 4 + t

y = -5 + 2t

z = 2 + t

Thus, x, y, z = ( 4+t, -5+2t, 2+t )

The symmetric equation can now be as follows:

\begin  {vmatrix} x = 4+ t   \\ \\  \dfrac{x-4}{1} = t  \begin {vmatirx} \end {vmatrix}\begin {vmatrix} y = - 5+2t  \\ \\ \dfrac{y+5}{2}  =t      \end {vmatrix}\begin {vmatrix} z =2+t  \\ \\ \dfrac{z-2}{1}  =t      \end {vmatrix}

∴

\dfrac{x-4}{1}= \dfrac{y+5}{2}=\dfrac{z-2}{1}

8 0
3 years ago
The real part of the complex number –5 + 3i is
photoshop1234 [79]

Answer:

-5

Step-by-step explanation:

The real part of -5 + 3i is -5, and the imaginary part is 3.

7 0
2 years ago
The science class is taking a field trip. There are a 20 students and a unknown number of adults. The bus holds 35 people at mos
AveGali [126]
It would be 15 because the 35 people at most minus the 20 students equals 15 so that would be the greatest number of adults allowed to be there.
5 0
3 years ago
Read 2 more answers
Part A: A graph passes through the points (0,2), (1,3), and (2,4). Does this graph represent a linear function or a non-linear f
ad-work [718]

Answer:

  A) linear

  B) y = x is linear; y = 1/x is non-linear

Step-by-step explanation:

A) The points lie on the same straight line, so the function is linear.

__

B) Any function that has x to a power other than 1 will be non-linear.

  linear function: y = x

  nonlinear function: y = x^-1 = 1/x

6 0
3 years ago
Is a linear model or a quadratic model a better fit
Tamiku [17]

Answer:

Quadratic

Step-by-step explanation:

Linear equations are straight lines while quadratics are curved in a "u" shape. These points have a vertex and go up on both sides, a quadratic would be able to better fit this since their y values repeat, unlike linear models.

7 0
3 years ago
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