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dmitriy555 [2]
3 years ago
11

Given the parent function

Mathematics
2 answers:
lozanna [386]3 years ago
7 0

Answer:

Option c is right.

Step-by-step explanation:

Given is a parabola y =x^2

From that transformation is done to get parabola as

y =(0.2x)^2

We find that instead of x here we use 0.2x

i.e. New x = 5 times old x

Hence there is a horizontal expansion of scale factor 5.

We can check with any point also

When y =4, x=2 in the parent graph

But when y =4 , we have x = 10 in the new graph

i.e. there is a horizontal expansion of scale factor 5.

Marianna [84]3 years ago
4 0
<h2>Answer:</h2>

<u>The correct option is </u><u>B Expanded vertically by a factor of 10</u>

<h2>Step-by-step explanation:</h2>

The function is a parabola

If wee see the original graph of parent function is shown as red in the figure attached and the graph of related function is in blue color so we can clearly see that the function is expanded vertically by a factor of 10.

See the attached figure for comparison

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10 pounds of soil are needed to
Wewaii [24]

Answer:

40/3

Step-by-step explanation:

w = weight of soil needed

f = number of flower beds

a = constant value

w = a * f

<em>substitute</em>

10 = 6a

<em>simplify</em>

5/3 = a

w = (5/3)f

<em>plug in 8</em>

w = (5/3)(8)

<em>simplify</em>

w = 40/3

3 0
3 years ago
7. Find an equation of the line containing (- 4,5) and perpendicular to the line 5x - 3y = 4.
bagirrra123 [75]

The equation of the line containing (- 4,5) and perpendicular to the line 5x - 3y = 4 is y = -3 / 5 x + 13 / 5

<h3>How to find the equation of a line?</h3>

The equation of a line can be represented as follows:

y = mx + b

where

  • m = slope
  • b = y-intercept

Therefore, the equation passes through (-4, 5) and perpendicular to 5x - 3y = 4

Hence,

perpendicular lines follows the rule below:

m₁m₂ = -1

Hence,

5x - 3y = 4

5x - 4 = 3y

y = 5/ 3 x - 4 / 3

m₁ = 5 / 3

5/3 m₂ = -1

m₂ = - 3 / 5

Hence,

using (-4, 5)

5 = - 3 / 5 (-4) + b

5 = 12 / 5 + b

b = 5 - 12 / 5 = 25 - 12 /5 = 13 / 5

Therefore,

y = -3 / 5 x + 13 / 5

learn more on equation of a line here: brainly.com/question/10727767

#SPJ1

6 0
2 years ago
Read 2 more answers
Find the vector projection of B onto A if A = 5i + 11j – 2k,B = 4i + 7k​
valkas [14]

Answer:

\frac{3}{13} i+\frac{11}{130} j-\frac{6}{65} k\\

Step-by-step explanation:

Given A = 5i + 11j – 2k and B = 4i + 7k​, the vector projection of B unto a is expressed as proj_ab = \dfrac{b.a}{||a||^2} * a

b.a = (5i + 11j – 2k)*( 4i + 0j + 7k)

note that i.i = j.j = k.k  =1

b.a = 5(4)+11(0)-2(7)

b.a = 20-14

b.a = 6

||a|| = √5²+11²+(-2)²

||a|| = √25+121+4

||a|| = √130

square both sides

||a||² = (√130)

||a||²  = 130

proj_ab = \dfrac{6}{130} * (5i+11j-2k)\\\\proj_ab = \frac{30}{130} i+\frac{11}{130} j-\frac{12}{130} k\\\\proj_ab = \frac{3}{13} i+\frac{11}{130} j-\frac{6}{65} k\\\\

<em>Hence the projection of b unto a is expressed as </em>\frac{3}{13} i+\frac{11}{130} j-\frac{6}{65} k\\<em></em>

7 0
3 years ago
One day in January the temperature dropped steadily from 3 degrees to negative 3 degrees. What was the change in temperature
AveGali [126]
6 degrees. ddrrgtexc7ehdb
6 0
3 years ago
Slope, m= -3/8. y-intercept, b= 1/4. Write an equation in slope-intercept form.
Ilia_Sergeevich [38]
Slope Intercept form: y=-3/8m+1/4.
7 0
3 years ago
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