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ASHA 777 [7]
3 years ago
14

If f(x)=7-9x, find f^-1=(5).

Mathematics
1 answer:
vladimir1956 [14]3 years ago
4 0
<span> Replace f(x) with y 


 Swap x and y 


 Multiply both sides by y-2 


 Distribute</span>
You might be interested in
A telephone pole has a wire attached to its top that is anchored to the ground. the distance from the bottom of the pole to the
kirza4 [7]

The height of the pole is 96 feet

In mathematics, the Pythagorean theorem, or Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides. This theorem can be written as an equation relating the lengths of the legs a, b and the hypotenuse c, often called the Pythagorean equation:[1]

a^{2}+b^{2}=c^{2},

Create a diagram of the scenario first. You would have a right triangle with a hypotenuse (longest side) of h + 4, a longest leg of h - 68, and one leg of length h to represent the pole.

Set up the equation h^2 + (h - 68)^2 = (h + 4)^2 using the Pythagorean theorem (a^2 + b^2 = c^2).

h^2 + (h - 68)^2 = (h + 4)^2

On simplifying we get

h^2+h^2-136h+4624 = h^2+8h+16

2h^2-136h+4624=h^2+8h+16

h^2-144h+4608=0

Solving using quadratic formula

h_{1,\:2}=\frac{-\left(-144\right)\pm \sqrt{\left(-144\right)^2-4\cdot \:1\cdot \:4608}}{2\cdot \:1}  

h_1=\frac{-\left(-144\right)+48}{2\cdot \:1},\:h_2=\frac{-\left(-144\right)-48}{2\cdot \:1}

h1 = 96 feet , h2 = 48 feet

If height would have been 48 feet then the other side would have a negative value as as 48 - 68 = -20 .

Hence the height of the pole is 96 feet

Learn more about Pythagoras theorem here :

brainly.com/question/343682

#SPJ4

7 0
1 year ago
X+y=5 <br> 3x-y=7 <br> solve this equation
motikmotik
The intercepts for x+y=5
X= (5,0)
Y= (0,5)
Slope is 3 and y intercept is (0,7)
8 0
1 year ago
Use the relationship between the
motikmotik

The equation x° = 180° - (37°+ 53°) can be used to find the value of x.

Step-by-step explanation:

Step 1; There are three lines in the given diagram. There are a baseline and two other lines. Out of the other two lines, one extends above and below the baseline whereas the other extends only above. Since the baseline is horizontal and the others are at angles we have the sum of all the three angles as 180° i.e. 37°, x°, and 53°.

37° + x° + 53° = 180°.

Step 2; To solve the value of x, we keep the unknown value at the left-hand side whereas all the known values are taken to the right side of the equation.

x° = 180° - (37°+ 53°).

So the fifth option can be used to determine the value of x.

4 0
3 years ago
Carly left for school at 8:15.she left school at 2:45.if she arrived at 8:45,how many hours was she in the school
Ne4ueva [31]
She was in school for 6 hours.
3 0
2 years ago
What number is halfway between -15 and 20
ollegr [7]

Answer : 2.5

Solution:

To find the halfway number it means that you need to find the middle most value using the formula

Mid value = (X + Y) / 2

So in this case it would be,

Mid value =  (-15 + 20 ) / 2

Mid Value = ( 5 ) / 2

Mid Value = 2.5 answer

Hope this helps in understanding the question! :)

Note : do not forget the negative sign as it will change the answer and may cost you marks!

4 0
2 years ago
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