Given:
The equation of the curve is:

To find:
The gradient (slope) of the given curve at point (2,7).
Solution:
We have,

Differentiate the given equation with respect to x.


Now we need to find the value of this derivative at (2,7).




Therefore, the gradient (slope) of the given curve at point (2,7) is 19.
The area of the Rhombus is 162√3 sq.unit , Option A is the correct answer.
<h3>What is a Rhombus ?</h3>
A rhombus is a polygon , which has four equal sides , its diagonal bisect each other at 90 degree.
Let x be the half of the other diagonal.
tan 60 = x / 9
x = 9 tan 60
x = 9√3
Area of the Rhombus = (d1 * d2 /2 )
d1 and d2 are the length of the diagonal.
Area of the Rhombus = (9*2)(2 *9√3)/2
Area of the Rhombus =162√3 sq.unit
To know more about Rhombus
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Answer:
Her final answer should have been x = 1/2.
Step-by-step explanation:
Her 2 errors were that she didn't distribute the 2x to both 4 and -17 and that she made the 13 positive instead of negative when she added 4 and -17 together.
Correct solution:
8(x-3)+7=2x(4-17)
8x-24+7=8x-34x
-17=-34x
The negatives on both sides cancel each other out
x = 1/2
Answer:
a. 35 *gh or 35 gh
b. 60 *mn or 60 mn
Step-by-step explanation:
The fewest number of symbols and characters can be obtained by multiplying the constant numbers with the constant numbers and variables with the variables.
a. The co efficients 5 and 7 are multiplied to get 35 and g is multiplied with h to get gh. So the answer is 35*gh. It can be further simpliefied into 35 gh
b. The co efficients 3,4 and 5 are multiplied to get 60 and m is multiplied with n to get mn. The answer is 60* mn. On further simplificaation we get 60 mn.
Answer: Because Point A is negative and the same distance below 0 on the number line as Point B is above it, Point B is both positive and the opposite of Point A.