Answer:
32 ft
Step-by-step explanation:
The length of the larger rectangle is double that of the smaller one. If we assume the rectangles are similar, the perimeter will be double as well:
2·(16 ft) = 32 feet . . . . perimeter of larger rectangle
__
The width of the larger one is 2·1.8 ft = 3.6 ft.
The function of the linear equation shows that the slope(m) = -7, the x-intercepts is (-1/7,0), and the y-intercepts is (0,-1)
<h3>What is the function of f(x) of a linear equation?</h3>
The function of a linear equation takes the form y = ax + b. In this situation, the values of y can be determined when x = 0, and the values of x can be determined when y = 0
From the given information:
y = f(x) = -7x - 1
We can determine the:
- Slope (m)
- x-intercepts, and
- y-intercepts.
y = -7x - 1
Slope (m) = -7
Set the values of y = 0 to determine the x-intercepts.
0 = -7x - 1
7x = - 1
x = -1/7
x-intercepts = (-1/7, 0)
Set the values of x = 0 to find the y-intercepts.
y = -7(0) - 1
y = - 1
y-intercepts = (-1, 0)
Learn more about the function of a linear equation here:
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Answer:
Step-by-step explanation:
Find the diagram attached. From the diagram, we can see that;
<USW = <TSR (vertically opposite angles)
Given
<USW = 7x-34
<TSR = 4x+29
Equate
7x-34 = 4x+29
7x-4x = 29+34
3x = 63
x = 63/3
x = 21°
Find <USW
<USW =7x-34
<USW =7(21)-34
<USW = 147-34
<USW = 113°
Hence the measure of <USW is 113°
Answer:
112
Step-by-step explanation:
Define the variables:
x = number of French students sent by the school
Write the equation:
x / 21 = 1 / 3
Solve:
x = 7
The school sent 7 French students and 21 German students, for a total of 28 students.
The other 3 schools also sent 28 students. So the total number of students sent is:
4 × 28 = 112
Answer:
24
Step-by-step explanation:
To figure out what the value of y is, we must isolate the variable. To do this, we need to use the division property of equality which says that when you divide on one side of the equal sign, you must also divide on the other side.
8y/8 = y
12/8 = 1.5
This tells us the value of y, so next we have to apply this into the problem
8(1.5) = 12
12 + 12 = 24
24 is your answer