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Verdich [7]
3 years ago
12

Graph f(x) = log5 (x-3).

Mathematics
1 answer:
Natali5045456 [20]3 years ago
6 0

Step-by-step explanation:

We want to graph:

f(x) =\log_{5}(x - 3)

We first graph the parent function

g(x) =\log_{5}(x)

This parent function has x-intercept at (1,0) and it is asymptotic to the y-axis.

We then shift the graph of the parent function 3 units right, to obtain the graph of

f(x) =\log_{5}(x - 3)

The new x-intercept will be (4,0) and vertical asymptote will now be x=3.

See attachment.

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Point Q' is the image of Q(-7, -6) under the translation (x, y) + (x + 12, y + 8).
Lina20 [59]

Answer:

The co-ordinates of Q' is (5,2).

Step-by-step explanation:

Given:

Pre-image point

Q(-7,-6)

To find Image point Q' after following translation.

(x,y)\rightarrow (x+12,y+8)

Solution:

Translation rules:

Horizontal shift:

(x,y)\rightarrow (x+k,y)

when K>0 the point is translated k units to the right.

when K the point is translated k units to the left.

Vertical shift:

(x,y)\rightarrow (x,y+k)

when K>0 the point is translated k units up.

when K the point is translated k units down.

Given translation (x,y)\rightarrow (x+12,y+8) shows the point is shifted 12 units to the right and 8 units up.

The point Q' can be given as:

Q'=(-7+12,-6+8)=(5,2)

So, the co-ordinates of Q' is (5,2). (Answer)

7 0
3 years ago
Find the value of the expression (3x−12)−(12xy−10)(3x-12)-(12xy-10) for x=3x=3 and y=6y=6
Rina8888 [55]
Hi!

Put in the values for x and y.

(3 · 3 - 12)-(12 · 3 · 6 - 10)

Solve

(9 - 12)-(216 - 10)
-3 - 206
-209

The answer is -209

Hope this helps! :)

4 0
3 years ago
Read 2 more answers
12. In the diagram below…
aniked [119]
It is number 3 why beacseu if u don’t have the length them u can’t do the equation
4 0
2 years ago
Secants ⎯⎯⎯⎯⎯⎯⎯⎯ and ⎯⎯⎯⎯⎯⎯⎯⎯⎯ intersect in the exterior of a circle. The measures of ⏜ and ⏜ are 112.54° and 26.32°, respective
Veseljchak [2.6K]

Answer:

C. 43.11°

Step-by-step explanation:

The formula to use in finding m<BCD = ½ the difference of the intercepted arcs AE and BD

Thus:

m<BCD = ½(AE - BD)

m<BCD = ½(112.54 - 26.32)

m<BCD = ½(86.22)

m<BCD = 43.11°

5 0
3 years ago
This is the last question somebody help.
arlik [135]
5(7)-5
———-
3(7)-16

= 54
3 0
2 years ago
Read 2 more answers
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