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VikaD [51]
3 years ago
14

Fill in the missing value to make the equations true.

Mathematics
1 answer:
Furkat [3]3 years ago
7 0

Answer:

a) 7/4 b) 5 c) 2

Step-by-step explanation:

Logrithmic Rule for a and b

Let a, M, N be positive real numbers.

a)  

logaM - logaN = loga(M/N)

log9(7) - log9(4) = log9 (7/4)

b)

logaM + logaN = logaMN

log2 (x) + log2(9) = log2(45)

x9=45

(x9)/9 = 45/9

x = 5

c)

Change of base formula.

logb​(x)=logd​(b)/logd​(x)​

x log6(5) = log6(25) divide each term by log6(5)

x log6(5) / log6(5) = log6(25) / log6(5)   Cancel common factor log6(5)

x = log6(25) / log6(5)

x = log6(5^2) / log6(5)

Expand log6(5^2) by moving 2 outside the logarithm.

x = 2log6(5) / log6(5) cancel the like term log6(5)

x = 2

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what is the equation of the line in standard form through each point? (3,1) & perpendicular to -4c + y - 1= 0
ad-work [718]
C = 1/4 y + -1/4 is the answer
5 0
3 years ago
Read 2 more answers
Give an example of a polynomial that has the asymptotes of x=5 and y=0.5
BaLLatris [955]
(x²+4x+3)/2(x²-10x+25)

the horizontal asymptote when the numerator and the denominator have the same degree (in this case, both of a degree of 2) is ration of the coefficients of the numerator and denominator. In this case, the coefficient for numerator x² is 1, and the coefficient for the denominator 2x² is 2, so the horizontal asymptote is y=1/2=0.5

the vertical asymptote is the x value. the denominator cannot be zero, if x²-10x+25=0, x would be 5, so the vertical asymptote is x=5 

this is just one example. There can be others:
(2x²+5x+2)/[(4x-7)(x-5)]  for another example, but this example has a second vertical asymptote 4x-7=0 =>x=7/4
5 0
3 years ago
True or false?is the point(16,4) included in this function: Y=2x or Y=x2 or y= x+12 or y=x-12
Gelneren [198K]

Answer:

True

Step-by-step explanation:

It is true because the graph of y=x-12 passes through the point (16,4)

x = 16

y = 4

Substitute

4 = 16 - 12

4 = 4

Therefore, the answer is true.

8 0
2 years ago
Sorry if its blurry im on my laptop
Kamila [148]

Answer:

Step-by-step explanation:

1 in=2 ft

Bedroom 1

scale

17.5 in ×12.5in

actual

(17.5×2)×(12.5×2)

or

35 ft×25 ft

Living Room

scale

17.5 in×17.5 in

actual

35 ft×35 ft

Bathroom 1

scale

12.5 in×12.5 in

actual

25 ft×25 ft

Kitchen

scale

17.5 in ×12.5 in

actual

35 ft×35 ft

Bedroom2

scale

12.5 in ×12.5 in

actual

25 ft×25 ft

Entryway

scale

12.5 in×12.5 in

actual

25 ft×25 ft

Bathroom 2

scale

12.5 in×5 in

actual

25 ft×10 ft

6 0
3 years ago
The length of a rectangular piece of land is 60 yard more than two times its width. The perimeter is 540 yard. Find its dimensio
babunello [35]

Answer:

l=200 yard

w=70 yard

Step-by-step explanation:

let  width =w

length l=2w+60

then perimeter P=2(l+w)=2(2w+60+w)=540

3w+60=270

3 w=270-60=210

w=70

l=2*70+60=200

4 0
3 years ago
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