Answer:
40 in
Step-by-step explanation:
A= l x w
2 x 9 = 18
2 x 11 = 22
Then add together because the shape is together:
18 + 22 =
40
Answer:
15
Step-by-step explanation:
Answer: 100(pi)/9
Step-by-step explanation:
We use the equation (theta/360)(2)(pi)(r)
Theta = 100 (100 degrees of a 360 degree circle)
r = 10 (not 20 because that is the whole needle, we need half of 20 for the radius)
Plugging this in: 100/360 (2)(pi)(10)
2,000(pi)/360
Divide by 20 to simplify:
The system of linear equations 3x + 7y = 22 and 12x + 28y = 88 actually represents the same line, indicating that there are infinite solutions. Any pair of (x, y) that satisfies one equation will satisfy the other.
To solve the system of linear equations 3x + 7y = 22 and 12x + 28y = 88, let's use substitution or elimination method. Here, the elimination method works best since the equations are multiples of each other. Divide the second equation by 4, you get 3x + 7y = 22, which is exactly the same equation as the first equation.
This means both equations represent the same line, so there are infinite solutions. Any x, y that satisfy one equation will satisfy the other. Therefore, the system is dependent.
Example of such solutions (x, y) can be obtained by isolating y in the first equation:
7y = 22 - 3x
y = (22 - 3x) / 7 or y = 9 + 3x
#SPJ12
The given system of equations has infinitely many solutions.
To solve for x and y in the given system of equations:
3x + 7y = 22
12x + 28y = 88
Multiply the first equation by 4 to eliminate the y variable:
12x + 28y = 88
12x + 28y = 88
Subtract the second equation from the first equation:
12x + 28y - 12x - 28y = 88 - 88
0 = 0
Since both variables have been eliminated, the equations are dependent and have infinitely many solutions. The solution is any pair of (x, y) values that satisfies the original equations.
#SPJ12
True or False
The given statement is a False statement.
We know that the center of a hyperbola is the mid-point of the transverse axis of the hyperbola.
If the curves of hyperbola opens up and down such that the center is (h,k) then the symmetry of hyperbola is:
y=k
and if the curve opens to the right and to the left and the center is at (h,k) then the symmetry of hyperbola is:
x=h
Hence, the statement:
The symmetry of a hyperbola with a center at (h, k) only occurs at y = k.
is FALSE.
Answer:
range is -3, 5.9 , 8.3
Step-by-step explanation:
{(3.2, –3), (7.6, 5.9), (1.4, –3), (–9.1, 8.3)}
We are given with set of ordered pairs (x,y)
In each ordered pair, x is the domain and y is the range
for domain , take all the x values (first number) from the ordered pairs
for range, take all the y value (second number) from the ordered pairs
y values of the ordered pairs are -3, 5.9, -3, 8.3
So range is -3, 5.9 , 8.3
Answer:
{(3.2, –3)}
Step-by-step explanation:
The domain is the set of all the values of
x .The range is the set of all the values of y .
Domain: { 3.2 , 7.6 , 1.4 , − 9.1 }
Range: { − 3 , 5.9 , 8.3 }