Answer:
<h3>Q cuts the diagonal PA into 2 equal halves, since the diagonals of rhombus meet at right angles.</h3><h3>The value of x is 8.</h3>
Step-by-step explanation:
Given that Quadrilateral CAMP below is a rhombus. the length PQ is (x+2) units, and the length of QA is (3x-14) units
From the given Q is the middle point, which cut the diagonal PA into 2 equal halves.
By the definition of rhombus, diagonals meet at right angles.
Implies that PQ = QA
x+2 = 3x - 14
x-3x=-14-2
-2x=-16
2x = 16
dividing by 2 on both sides, we will get,
<h3>∴ x=8</h3><h3>Since Q cuts the diagonal PA into 2 equal halves, since the diagonals of rhombus meet at right angles we can equate x+2 = 3x-14 to find the value of x.</h3>
The line segment 
( since x=8)
<h3>∴
units</h3>
The line y = x + 3 has slope 1, so we look for points on the curve where the tangent line, whose slope is dy/dx, is equal to 1.
y² = x
Take the derivative of both sides with respect to x, assuming y = y(x) :
2y dy/dx = 1
dy/dx = 1/(2y)
Solve for y when dy/dx = 1 :
1 = 1/(2y)
2y = 1
y = 1/2
When y = 1/2, we have x = y² = (1/2)² = 1/4. However, for the given line, when y = 1/2, we have x = y - 3 = 1/2 - 3 = -5/2.
This means the line y = x + 3 is not a tangent to the curve y² = x. In fact, the line never even touches y² = x :
x = y² ⇒ y = y² + 3 ⇒ y² - y + 3 = 0
has no real solution for y.
Answer:
the number of vegetables did farmer bring in the market is 1764 vegetables
Step-by-step explanation:
The computation of the number of vegetables did farmer bring in the market is shown below:
= 18 bags × 42 kgs + 28 bags × 36 kgs
= 756 + 1008
= 1764 vegetables
Hence, the number of vegetables did farmer bring in the market is 1764 vegetables
Question 2: peaceful protests without violence
Step-by-step explanation:
Let A be the set of people who speak English.
B be the set of people who speak French.
A - B be the set of people who speak English and not French.
B - A be the set of people who speak French and not English.
A ∩ B be the set of people who speak both French and English.
Given
n(A) = 72 n(B) = 43 n(A ∪ B) = 100
Now, n(A ∩ B) = n(A) + n(B) - n(A ∪ B)
= 72 + 43 - 100
= 72 + 43 - 100
= 115 - 100
= 15
Therefore, Number of persons who speak both French and English
= 15
n(A) = n(A - B) + n(A ∩ B)
⇒ n(A - B) = n(A) - n(A ∩ B)
= 72 - 15
= 57
and n(B - A) = n(B) - n(A ∩ B)
= 43 - 15 = 28
Therefore, Number of people speaking English only = 57
Number of people speaking French only = 28
