When it has a slope of 3 it means y=3x+k
Given the condition that f(-2)=0
So,replace the y with 0 and x with -2
0=3*-2+k
0=-6+k
k=6
So the line is y=3x+6
when f(p)=3,
3x+6=3
3x=-3
X=-1
So,
p=-1
Slope = (5+8)/(8-4) = 13/4
y = mx + b
b= y - mx
b = -8 - (13/4) (4)
b = -8 -13
b = -21
equation
y = 13/4x - 21
Step-by-step explanation:
Arranging in ascending order, we get
13 , 22 , 30 , 33 , 40 , 54 , 55
no of data (N) = 7
Now Position of Median
= {(N +1 ) / 2}th item
= {(7+1) / 2 } that item
= 4 that item
So now exact median = 33
Answer:
the volume of the rectangular prism = 166.336 cubic cm
Hence, option C is correct.
Step-by-step explanation:
We can determine the volume of the rectangular prism using the formula given below.
The volume of the rectangular prism = Base area x Height
<u><em>Determining the Base area:</em></u>
Given
Area of the Base area = l × w
= 3.2 × 4.6
= 14.72 cm²
Thus, the area of the Base area = 14.72 cm²
As the height h = 11.3 cm
Thus,
The volume of the rectangular prism = Base area x Height
= 14.72 x 11.3
= 166.336 cubic cm
Therefore, the volume of the rectangular prism = 166.336 cubic cm
Hence, option C is correct.
Answer:
<u>∠IJG = 123° </u>
Step-by-step explanation:
Since AB║CD, EF ║GH, we can use the Corresponding Angles Postulate, for finding the following congruent angles:
∠IKL ≅ ∠EIJ and ∠EIJ ≅ ∠GJA
∠GJA and ∠IJG are supplementary, therefore:
∠GJA + ∠IJG = 180°
∠IJG = 180° - 57°
<u>∠IJG = 123°</u>
