Answer:
a=4, b=144
Step-by-step explanation:
Let's take two random points of X and y and simplify the equation containing a and b; let's go,
Points (4,-5); (6,0)
For (4,-5)
-5= a -b/ (4 x4)
-5= a- b/16; -80= 16a - b[ by multiplying through by 16]
For (6,0);
0= a -b/ ( 6x6) ; 0=a- b/36
Multiplying through by 6, we have:
0= 36a-b; 36a=b;
So the modified equation of a and b are;
b=36a
b=16a+ 80[ modifying the derived expression moving b to the left]
So if we equate both expressions,
We have:
36a=16a+80;
36a-16a=80, 20a= 80; a= 80/20= 4;
a=4;
Substituting the value of a into any expression for b; we have
b= 36a= 36x4 =144
Hence a=4, b= 144
Y=a-b/x².
Using first column: x=1, y=140
140=a-b
Using last colimn: x=6, y=0
0=a-b/36, b=36a
140=a-b=a-36a=-35a
a=-140/35=-4
b=36a=36×(-4)=-144
Answer: a=-4, b=-144
Approximate circumference of a semicircle with a radius of 30 centimeters is 94.2 centimeter
Solution:
Given semicircle with a radius of 30 centimeters
To find: approximate circumference of a semicircle
To find circumference of semicircle we can divide the circumference of circle by 2
circumference of semicircle = circumference of circle 2
Substituting the given radius = 30 cm,
Thus approximate circumference of a semicircle with a radius of 30 centimeters is 94.2 centimeter
Answer:
94.2
Step-by-step explanation:
For girls: 12/30 = 4/10 = 2/5
For boys: 16/40 = 4/10 = 2/5
The ratios of the number of students on the team to the number of students trying out for both boys and girls are the same since 12/30 = 16/40...
(1 pt)
What is the area of the rectangle?
A.
0.9416 mi²
B.
1.8832 mi²
C.
1.95 mi²
D.
3.90 mi²
2.
(1 pt)
What is the area of the rectangle?
A.
40 km2
B.
40 m2
C.
26 km2
D.
26 m2
3.
(1 pt)
What is the area of the rectangle?
A.
1.125 yd²
B.
2.250 yd²
C.
4.50 yd²
D.
11.25 yd²
4.
(1 pt)
What is the area of a rectangular playground with a length of 84.5 ft and a width of 53 ft?
A.
137.5 ft²
B.
275 ft²
C.
4478.5 ft²
D.
44,785 ft²
5.
(1 pt)
Which measurement is the closest approximation of the rectangle’s area?
A.
16 m²
B.
32 m²
C.
65 m²
D.
70 m²
B. (8, 1), (-5, 4), (2, 1), (8, 2)
C. (2,4), (-5, 2), (8, 1), (-6, 2)
D.
(2,0).(-5, 3), (8, 1), (-5,5)
Answer: OPTION C
Step-by-step explanation:
A relation is a function when each input value has one and only output value.
For option A:
(2,4), (-5, 6), (2, 3), (-6, 2)
You can observe that the input value "2" has two output values. Then it is not a function.
For option B:
(8, 1), (-5, 4), (2, 1), (8, 2)
You can observe that the input value "8" has two output values. Then it is not a function.
For option C:
(2,4), (-5, 2), (8, 1), (-6, 2)
You can observe that each input value has only one output values. Then it is a function.
For option D:
(2,0).(-5, 3), (8, 1), (-5,5)
You can observe that the input value -5 has two output values. Then it is not a function.
For a set of data to be a function each x value has to have different y values.
A. (2,4), (-5, 6), (2, 3), (-6, 2)
B. (8, 1), (-5, 4), (2, 1), (8, 2)
D.(2,0).(-5, 3), (8, 1), (-5,5)
The bolded coordinates are the ones of each data set that makes it not a function. As you can see the x values all have different y values.
This leaves C. as the answer!
Hope this helped!
Answer:
1024
Step-by-step explanation:
9216/9=1024