Answer:
let the other number be x.
then,X+5=10
X =10-5
X=5
Step-by-step explanation:
Answer:
See below for a graph
Step-by-step explanation:
Let's call the parent function g(x) = log₅(x), which has a vertical asymptote at x=0, and goes through the points (1, 0), (5, 1), (25, 2).
Then this function is
... f(x) = g(2(x+6)) +2
That is, the function is horizontally compressed by a factor of 2, shifted left 6 units, and shifted up 2 units. This moves the points listed above to ...
... (-5.5, 2), (-3.5, 3), (6.5, 4)
The graph shows the parent function and the listed points in blue, then the transformed function and the corresponding points in red.
Answer:
1.
a: 9
b: -39
2.
a: 186
b: 230
3.
A(-4, 6)
B(0, -7)
Step-by-step explanation:
The scale factor to convert Figure A to B is
(0.5)
Step-by-step explanation:
Step 1; To determine the scale factor, we need to know the dimensions of the shape before scaling and its dimensions after scaling. From the given diagram, figure A has a base length of 6 units while its height is 4 units. Figure B has a base length of 3 units and a height of 2 units.
Step 2; To find the scale factor, we divide a particular dimension from figure B with the same dimension in figure A.
The base length of figure B /the base length of figure A =
=
,
Similarly, the height of figure B / the height of figure A =
=
.
So by multiplying figure A with scale factor
we get figure B.