Answer:
The square root of 85
Step-by-step explanation:
The formula to find out the distance between the points is shown below:
The Distance is
![= \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}](https://tex.z-dn.net/?f=%3D%20%5Csqrt%7B%28x_2%20-%20x_1%29%5E2%20%2B%20%28y_2%20-%20y_1%29%5E2%7D)
where,
x_1 = -3
y_1 = -1
x_2 = 4
And, the y_2 = 5
Now place these values to the above formula
So, the distance is
![= \sqrt{(4+3)^2 + (5+1)^2} \\\\= \sqrt{49 + 36} \\\\= \sqrt{85}](https://tex.z-dn.net/?f=%3D%20%5Csqrt%7B%284%2B3%29%5E2%20%2B%20%285%2B1%29%5E2%7D%20%5C%5C%5C%5C%3D%20%5Csqrt%7B49%20%2B%2036%7D%20%20%5C%5C%5C%5C%3D%20%5Csqrt%7B85%7D)
= 9.22 units
Hence, the distance between points M and N is 9.22 units or the square root of 85
Hence, the second option is correct
Answer:
-1/8
Step-by-step explanation:
A perpendicular slope is the negative reciprocal, for example, if I had 2 as my slope, the perpendicular slope would be -1/2
Answer: 60 batches
Step-by-step explanation:
Let the number of batches be x
If 1 batch = 1/4 = 0.25tsp
x batches = 15tsp
0.25x = 15
x = 15/0.25=60
Answer:
28 cm²
Step-by-step explanation:
The area of Δ BDF is the area of the rectangle subtract the area of the 3 white triangles.
Since the area of the rectangle = 80 cm² and
area = length × breadth, then
breadth = 80 ÷ 10 = 8 cm
Thus CE = EF = 8 cm and CD = DE = BC = 4 cm
Area of Δ DEF = 0.5 × 10 × 4 = 20 cm²
Area of Δ ABF = 0.5 × 8 × (10 - 4) = 0.5 × 8 × 6 = 24 cm²
Area of Δ BCD = 0.5 × 4 × 4 = 8 cm²
Thus
area of Δ BDF = 80 - (20 + 24 + 8) = 80 - 52 = 28 cm²