Which equation is equivalent to log3(x+5)=2
2 answers:
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<u>Answer:</u>
Height of cables = 23.75 meters
<u>Step-by-step explanation:</u>
We are given that the road is suspended from twin towers whose cables are parabolic in shape.
For this situation, imagine a graph where the x-axis represent the road surface and the point (0,0) represents the point that is on the road surface midway between the two towers.
Then draw a parabola having vertex at (0,0) and curving upwards on either side of the vertex at a distance of or
, and y at 95.
We know that the equation of a parabola is in the form and here it passes through the point
.
So new equation for parabola would be .
Now we have to find the height of the cable when
.
y = 23.75 meters
Answer:
Quadrilateral FSHB∼quadrilateral KTWJ.
Step-by-step explanation:
Given two quadrilaterals we have to prove these two similar.
The two quadrilaterals are similar if the corresponding sides of these are proportional then only the quadrilateral are proportional i.e
∴
If the above condition satisfied then the quadrilateral are similar.
Let us find these ratios
All ratios are equal.
Hence, the corresponding sides and angles of these two quadrilaterals are proportional implies that these two are similar i.e quadrilateral FSHB∼quadrilateral KTWJ.
Given series is 2.4,-4.8,9.6,-19.2
To find whether it has common difference or common ratio let us find few differences and few ratios of consecutive terms.
Common difference of first 2 terms = 2nd term - first term = -4.8-2.4 = -7.2
Common difference of 2nd and 3rd terms = 3rd term - 2nd term = 9.6-(-4.8) = 14.4
Since those common differences are not equal the given series does not have common difference at all.
To check if it has common ratio or not let us find few ratios of consecutive terms.
Common ratio of first 2 terms = =
Common ratio of 2nd and 3rd terms =
So, the given series has common ratio as -2.0