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zepelin [54]
2 years ago
6

Evaluate the indicated function for f(x)=x2- 6 and g(x)=x+ 4. (fg (1)

Mathematics
1 answer:
Naily [24]2 years ago
4 0

Answer:

I think that is going to be x-3

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The diagram shows the entrance to a tunnel.
gladu [14]

Step-by-step explanation:

it filled up half the circle (up to the center point) - if we had a full circle. but a little bit is cut off (below AB).

what we see is that the shaded area is the sum of the area of the triangle AOB and 2 equally sized circle segment areas left and right of AOB.

since we are dealing with a half-circle, we have 180° in total. 120° are taken by AOB, so, that leaves us with 180-120 = 60° for both circle segments (so, one has an angle of 30°).

and 2×30° = 1×60°, so we can calculate the area of one 60° segment instead of two 30° segments.

AOB is an isoceles triangle (the legs are equally long, and therefore also the 2 side angles are equal).

the area of this triangle AOB is

1/2 × a × b × sin(C) = 1/2 × 3 × 3 × sin(120) =

= 3.897114317... m²

a circle segment area of 60° is 60/360 = 1/6 of the full circle area (as a full circle = 360°).

so, it's area is

pi×r² × 1/6 = pi×3²/6 = pi×3/2 = 4.71238898... m²

so, the total area of the shaded area is

3.897114317... m² + 4.71238898... m² =

= 8.609503297... m²

5 0
2 years ago
Can someone please help me, ty!! (Will mark brainliest)
Aleks04 [339]

Answer:

im gonna say 4 if im wrong its my fault

8 0
3 years ago
3/4x=-18 what is the answer?
Afina-wow [57]

Answer:

X= 24

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    3/4*x-(18)=0

Step by step solution :

Step  1  :

           3

Simplify   —

           4

Equation at the end of step  1  :

  3        

 (— • x) -  18  = 0

  4        

Step  2  :

Rewriting the whole as an Equivalent Fraction :

2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  4  as the denominator :

         18     18 • 4

   18 =  ——  =  ——————

         1        4  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

3x - (18 • 4)     3x - 72

—————————————  =  ———————

      4              4  

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  3x - 72  =   3 • (x - 24)

Equation at the end of step  3  :

 3 • (x - 24)

 ————————————  = 0

      4      

Step  4  :

When a fraction equals zero :

4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 3•(x-24)

 ———————— • 4 = 0 • 4

    4    

Now, on the left hand side, the  4  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  3  •  (x-24)  = 0

Equations which are never true :

4.2      Solve :    3   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

4.3      Solve  :    x-24 = 0

Add  24  to both sides of the equation :

                     x = 24

One solution was found :

                  x = 24

6 0
3 years ago
-25 - 30 + 2 = pls help
Galina-37 [17]

Answer:

7

Step-by-step explanation:

Do addition first, so 30 plus 2, and then subtract, 32 minus 25. It is seven.

5 0
2 years ago
Complete a b and c if you do one it would mean alot
victus00 [196]

Answer: I don't see what your talking about here, so I can't help you.

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
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