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Ronch [10]
3 years ago
12

Please help me solve this! I’ve been stuck for ages! Thankyou

Mathematics
1 answer:
polet [3.4K]3 years ago
7 0

Answer:

y = sin(x- pi/2)

Step-by-step explanation:

Please see the attached image to see your graphs.

By simple inspection we can see that the sine is shifted pi/2 to the right.

We know this because sines are periodic functions with a period T = 2*pi

We can also see that the maximum point of the graph (y = 1) got shifted by a fourth of the period.

And finally, since we want to shift the graph to the right, we need to substract from the argument of the sine term.

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The two rectangles shown have equal areas. Find the value of x
Tema [17]

Answer:

x=18

Step-by-step explanation:

We need to find the areas of the rectangles

1st rectangle

A= l*w

A = (2x+4)*9

   = 18x+36



2nd rectangle

A = l*w

   = 15*(3x-30)

    = 45x-450


Since the area of the rectangles are equal, we set these two equations equal

18x+36 = 45x-450

Subtract 18x from each side

18x-18x+36 = 45x-18x-450

36 = 27x-450

Add 450 to each side

36+450 =27x

486 = 27x

Divide by 27 on each side

486/27 = 27x/27

18=x


7 0
3 years ago
Solve 3x + 5 ⩾ x + 17
Ugo [173]

Answer:

Step-by-step explanation:

Simplifying

3x + 5 = x + 17

Reorder the terms:

5 + 3x = x + 17

Reorder the terms:

5 + 3x = 17 + x

Solving

5 + 3x = 17 + x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x' to each side of the equation.

5 + 3x + -1x = 17 + x + -1x

Combine like terms: 3x + -1x = 2x

5 + 2x = 17 + x + -1x

Combine like terms: x + -1x = 0

5 + 2x = 17 + 0

5 + 2x = 17

Add '-5' to each side of the equation.

5 + -5 + 2x = 17 + -5

Combine like terms: 5 + -5 = 0

0 + 2x = 17 + -5

2x = 17 + -5

Combine like terms: 17 + -5 = 12

2x = 12

Divide each side by '2'.

x = 6

Simplifying

x = 6

5 0
3 years ago
Square root of 19.4 rounded to the nearest hundredth
photoshop1234 [79]

Answer:

there is none.

Step-by-step explanation:

19.4, the lowest is tenths, you need another digit down for hundredths.

hope I helped!

5 0
3 years ago
For f(x) = x2 + 2x + 3, and g(x) = x2 + 5, Find F(g(2)).
Paraphin [41]

Answer:

f(g(2)) = 102

Step-by-step explanation:

f(x) and f(g(2))

As we can see, we can find g(2) and substitute this value into

f(x)=x² + 2x + 3 instead of x.

g(x) = x² + 5,  g(2) = 2² + 5 = 9

f(x)=x² + 2x + 3

f(9)=9² + 2*9 + 3= 102

5 0
3 years ago
What is the equation of the line that is perpendicular to the given line and passes through the point (3, 4)?
Lady_Fox [76]

Answer:

<h2>y = 3x - 5</h2>

Step-by-step explanation:

\text{The slope-intercept form of an equation of a line:}\\y=mx+b\\m-slope\\b-y\ intercept

\text{The formula of a slope:}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}

\text{Let}\ k:y=m_1x+b_1,\ l:y=m_2x+b_2,\ \text{then}\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\l\ \parallel\ k\iff m_1=m_2\\=========================

\text{From the graph we have two points (-3, 2) and (0, 1).}\\\text{Calculate the slope of the given line:}\\\\m=\dfrac{1-2}{0-(-3)}=\dfrac{-1}{3}=-\dfrac{1}{3}.\\\\\text{Therefore the slope of the perpendicular line is:}\\\\m=-\dfrac{1}{-\frac{1}{3}}=3\\\\\text{Put it and the coordinates of the point (3, 4) to the equation of a line:}\\\\4=3(3)+b\\4=9+b\qquad\text{subtract 9 from both sides}\\-5=b\to b=-5\\\\\text{Finally:}\\\\y=3x-5

5 0
3 years ago
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