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Vaselesa [24]
3 years ago
5

If a point on the pre-image has coordinates (3.-4), and the coordinates of Its Image are (12,-16), what scale factor was

Mathematics
1 answer:
Ksenya-84 [330]3 years ago
3 0

Answer:

scale factor of 4

Step-by-step explanation:

3 times 4 equals 12

-4 times 4 equals -16

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Complete the ordered pair for the equation y = - 7x + 8.
Snowcat [4.5K]

Answer:y+7x=8

Step-by-step explanation:y=-7x+8

7x needs to be on the variable side

y+7x=8

5 0
3 years ago
Write an equation of a parabola that passes through (3,-30) and has x-intercepts of -2 and 18. Then find the average rate of cha
Nookie1986 [14]

Answer:

The equation of the parabola is y = \frac{2}{5}\cdot x^{2}-\frac{32}{5}\cdot x -\frac{72}{5}.  The average rate of change of the parabola is -4.

Step-by-step explanation:

We must remember that a parabola is represented by a quadratic function, which can be formed by knowing three different points. A quadratic function is standard form is represented by:

y = a\cdot x^{2}+b\cdot x + c

Where:

x - Independent variable, dimensionless.

y - Dependent variable, dimensionless.

a, b, c - Coefficients, dimensionless.

If we know that (3, -30), (-2, 0) and (18, 0) are part of the parabola, the following linear system of equations is formed:

9\cdot a +3\cdot b + c = -30

4\cdot a -2\cdot b +c = 0

324\cdot a +18\cdot b + c = 0

This system can be solved both by algebraic means (substitution, elimination, equalization, determinant) and by numerical methods. The solution of the linear system is:

a = \frac{2}{5}, b = -\frac{32}{5}, c = -\frac{72}{5}.

The equation of the parabola is y = \frac{2}{5}\cdot x^{2}-\frac{32}{5}\cdot x -\frac{72}{5}.

Now, we calculate the average rate of change (r), dimensionless, between x = -2 and x = 8 by using the formula of secant line slope:

r = \frac{y(8)-y(-2)}{8-(-2)}

r = \frac{y(8)-y(-2)}{10}

x = -2

y = \frac{2}{5}\cdot (-2)^{2}-\frac{32}{5}\cdot (-2)-\frac{72}{5}

y(-2) = 0

x = 8

y = \frac{2}{5}\cdot (8)^{2}-\frac{32}{5}\cdot (8)-\frac{72}{5}

y(8) = -40

r = \frac{-40-0}{10}

r = -4

The average rate of change of the parabola is -4.

3 0
3 years ago
Help with radicals homework answers pls (need for tomorrow)
FrozenT [24]
It is hard to see but the first one is 243xy^6/5

7 0
3 years ago
4x + 17 = 30<br> WHAT IS THE ANSWER
zimovet [89]

Answer:3.25

Step-by-step explanation:

30-17=13 13 divied by 4 = 3.25

6 0
2 years ago
Read 2 more answers
Luke has $21 more than Rachel and $48 more than Daniel. All together they have $
KengaRu [80]
This can be solve by 3 variable equation
let x be the money of luke
y money of rachel
z money of daniel
first equation
x = y + 21
second equation
x = z + 48
third equation
x + y + z = 168
solving simultaneously
x =79
y = 58
z = 31

3 0
3 years ago
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