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Kay [80]
4 years ago
7

If ƒ(a) = K, then which of the following must be true?

Mathematics
2 answers:
Flauer [41]4 years ago
7 0
Number 2 is the correct answer
Basile [38]4 years ago
4 0
F(a)=k
means
when you input a, in f(x), you get k

lets see
1., this is false, unless f(x)=x which is not always true
2. this is the inverse, this is the sme function but input and output are switched
f(a)=k turns to f⁻¹(k)=a
true

3. this is true only if f(x)=x


2 is the right answer
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How do i find the radius? please help :(
Rus_ich [418]

Answer:

r = 40/π   exact answer

r = 12.7 decimal approximation

Step-by-step explanation:

arc length formula

s = (∅/360) * 2πr

s = (∅/180) * πr

--------------------------------

Plug in the givens

10 = (45/180) * πr

10 = .25πr

Divide both sides by .25

40 = πr

divide both sides by π

40/π = r

r = 40/π   exact answer

r = 40/3.14

r = 12.7 decimal approximation

8 0
3 years ago
15/3 = ?/1. what's the missing unit rate ​
tamaranim1 [39]
The unit rate is 5/1

15/3=5
3/3=1
7 0
3 years ago
Read 2 more answers
How do you start this and find the weight of each shape? I do not remember doing this in class.
suter [353]
Let's say   make the shapes, some variable name

say   

⛁    ⚪     ◽    ▯
a     b      c     d

so.. if take those are the shapes provided

then we can take a look at the first set and we can say that

2a + b + c = 20

a + 4d + b = 19

a + c = 9

3c + d + a = 19 

thus     \bf \begin{cases}
2a + b + c = 20\\
a + 4d + b = 19\\
a + c = 9\\
3c + d + a = 19 
\end{cases}\\\\
-----------------------------\\\\
a+c=9\implies \boxed{c}=9-a\qquad thus
\\\\\\
2a+b+\boxed{9-a}=20\implies \underline{b}=11-a\impliedby thus
\\\\\\
a+4d+\underline{11-a}=19\implies d=\cfrac{8}{4}\implies d=2\\\\
-----------------------------\\\\
then\qquad 3\left(\boxed{9-a } \right)+\boxed{2}+a=19\implies 27-3a+2+a=19
\\\\\\
10=2a\implies 5=a

and surely you can find the other two

4 0
3 years ago
( x, y) satisfies both equations y+18=x(x-3) and x=y+6
antoniya [11.8K]

Answer:

(- 2, - 8 ) , (6, 0 )

Step-by-step explanation:

y + 18 = x(x - 3) ← distribute

y + 18 = x² - 3x → (1)

x = y + 6 → (2)

Substitute x = y + 6  into (1)

y + 18 =(y + 6)² - 3(y + 6) ← expand parenthesis using FOIL

y + 18 = y² + 12y + 36 - 3y - 18

y + 18 = y² + 9y + 18 ( subtract y + 18 from both sides )

0 = y² + 8y = y(y + 8)

Equate each factor to zero and solve for y

y = 0

y + 8 = 0 ⇒ y = - 8

Substitute these values into (2) and evaluate for x

y = 0 : x = 0 + 6 = 6 ⇒ (6, 0 )

y = - 8 : x = - 8 + 6 = - 2 ⇒ (- 2, - 8 )

3 0
3 years ago
I don’t really understand what 2:3 means and how do I find the answer?
Gelneren [198K]
It is a ratio so basically their is no real anwser for it
7 0
4 years ago
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