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charle [14.2K]
3 years ago
14

Factorise x squared - 12x + 36

Mathematics
1 answer:
slava [35]3 years ago
3 0

Answer:

(x-6)(x-6) or (x-6)^2

Step-by-step explanation:

x^2-12x+36=(x-6)(x-6)

Just find two numbers that when they multiply, you get the third term,

which is 36 in this case. And when they add up, you get the second term,

which is -12 in this case. You can also check the answer by multiplying.

(x-6)(x-6)=x^2-6x-6x+36=x^2-12x+36

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It costs Doug $30 to set up a cupcake stand. He charges $2 for every cupcake he sells. If Doug makes $48 of profit in one day, h
Lunna [17]

Answer:

It is 39 cupcakes.

Since he charges $2 per cupcake (39), it is 78.

He makes profit so subtract 30 from 78 and you get $48.

6 0
3 years ago
What is the perimeter P of △DEF to the nearest whole number?
schepotkina [342]

Answer:

perimeter of ΔDEF  ≈ 32

Step-by-step explanation:

To find the perimeter of the triangle, we will follow the steps below:

First, we will find the length of the side of the triangle DE and FF

To find the length DE, we will use the sine rule

angle E  = 49 degrees

e= DF = 10

angle F = 42 degrees

f= DE =?

we can now insert the values into the formula

=  

cross-multiply

f sin 49° = 10 sin 42°

Divide both-side by sin 49°

f = 10 sin 42° / sin 49°

f≈8.866

which implies DE ≈8.866

We will now proceed to find side EF

To do that we need to find angle D

angle D + angle E + angle F = 180°  (sum of interior angle)

angle D + 49° + 42° = 180°

angle D + 91° = 180°

angle D= 180° - 91°

angle D = 89°

Using the sine rule to find the side EF

angle E = 49 degrees

e= DF = 10

ange D = 89 degrees

d= EF = ?

we can now proceed to insert the values into the formula

=  

cross-multiply

d sin 49° = 10 sin 89°

divide both-side of the equation by sin 49°

d= 10 sin 89°/sin 49°

d≈13.248

This implies that length EF = 13.248

perimeter of ΔDEF = length DE + length EF + length DF

                                  =13.248   +  8.866  + 10

                                   =32.144

                                    ≈ 32 to the nearest whole number

perimeter of ΔDEF  ≈ 32

6 0
3 years ago
Find the value of x in the triangle shown below 4 3
Solnce55 [7]

Answer: 5

Step-by-step explanation: I took the test

8 0
3 years ago
What is the value of the function at x=−2? (98 points)
Archy [21]
The answer is c, y=2. if you look at the graph you can see that where x=-2 the line intersects the y axis at +2.
8 0
3 years ago
Please help it's for a test!
Tanya [424]

Answer:

0.2322   or    23.22 %

Step-by-step explanation:

We have to solve and find the area out of these limits

μ + 0,3 =  210 + 0,3   ⇒    210,3  and

μ - 0,3  =  210 - 0,3   ⇒    209.7

z(l)   = ( x - 210 ) / (2.8/√84)   ⇒  z(l) =  - (0.3 * 9,17)/ 2.8

z (l)  = - 1.195  

We need to interpole from z table

               1.19         ⇒     0.1170

              1.20       ⇒      0.1151

   Δ  ⇒     0.01     ⇒      0.0019

And between our point   1,195 and 1,19   the difference is  0.005

then        0.01          ⇒   0.0019

              0.005      ⇒      ?? (x)

we find x =  0.00095

to get the area for poin  z (l)  - 1.195 up to final left tail is from  z table

0,1170 - 0.00095 =  0.1161

And by symmetry  to the right is the same

So   0.1161 * 2   =  0.2322

We find the area out of the above indicated limits  the area we were looking for. This is the probability of finding shafts over and below the population mean and 0.3 inches

Step-by-step explanation:

5 0
2 years ago
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