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Pavlova-9 [17]
3 years ago
15

Is the inverse of the function shown below also a function?

Mathematics
1 answer:
ycow [4]3 years ago
7 0

Answer:

Yes

Step-by-step explanation:

Yes.  Here's why:  We can obtain the graph of the inverse of the function shown by reflecting the red graph about the line y = x.  The resulting graph is true for all x values and for all y values; it passes the vertical line test.

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Help me please please
harina [27]

Answer:

a)

  • EH = \sqrt{HG^2+EG^2} = \sqrt{4^2+6^2} = \sqrt{16+36} = \sqrt{52} = 2\sqrt{13}

b)

  • EG² = GH*GF
  • EG² = 4*12
  • EG² = 48
  • EG = √48 = 4√3
3 0
3 years ago
What is the y intercept of a graph containing the two points (3,1) and (7,-2)?
olasank [31]

The y intercept of a graph containing the two points (3,1) and (7,-2) is \frac{13}{4}

<em><u>Solution:</u></em>

Given points are (3, 1) and (7, -2)

<em><u>The equation of line in slope intercept form is given as:</u></em>

y = mx + c ------- eqn 1

Where, "m" is the slope of line and "c" is the y intercept

<em><u>Let us first find the slope of line</u></em>

The slope of line is given as:

m = \frac{y_2-y_1}{x_2-x_1}

Here the points are (3, 1) and (7, -2)

(x_1, y_1) = (3, 1)\\\\(x_2, y_2) = (7, -2)

Substituting in formula, we get

m = \frac{-2-1}{7-3}\\\\m = \frac{-3}{4}

To find the y intercept:

\text{Substitute } m = \frac{-3}{4} \text{ and } (x, y) = (3, 1) \text{ in eqn 1 }

1 = \frac{-3}{4} \times 3 + c\\\\1 = \frac{-9}{4} + c\\\\ \text{Simplify the above equation } \\\\1 = \frac{-9+4c}{4}\\\\4 = -9 + 4c\\\\13 = 4c\\\\\text{Divide both sides by 4 }\\\\c = \frac{13}{4}

Thus  y -intercept is \frac{13}{4}

5 0
3 years ago
Y+5=-(x+5) in standard form
swat32

1. y+5=-x-5

2. y=-x-5-5

3.y=-x-10

4. y=x-10

_______________________

1. distribute negative sign

2. move the constant to the right and change the sign

3. -5-5 equals -10, bring everything down

4. change the sign of the x to positive, the equation is in standard form

5 0
3 years ago
What is the greatest common factor of 4-6a
strojnjashka [21]

Answer:

The GFC of 5 and 6 is 2.

Step-by-step explanation:

Hope this helps :))

8 0
3 years ago
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Hatshy [7]

Answer:

The change in the area of the rectangle is 0 square feet

Step-by-step explanation:

To solve this problem we have to calculate the area of ​​the two rectangles that give us

first we have to know the formula to calculate the area of ​​a rectangle

a = area

l = length  = 12ft

w = width = 5ft

a = l * w

we replace the known walues

a = 12ft * 5ft

a = 60ft²

we do the same with the other rectangle, but first we have to calculate its sides

w = 5ft - (5ft * 20/100)

w = 5ft - 1ft

w = 4ft

l = 12ft + (12ft * 25/100)

l = 12ft + 3ft

l = 15ft

a2 = 15ft * 4ft

a2 = 60ft²

to calculate the change in the area we subtract (a - a2)

a - a2 =

60ft² - 60ft² = 0ft²

3 0
3 years ago
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