Answer:
y = x - 5
Step-by-step explanation:
Given the point, (10, 5), and the slope, m = 1:
Substitute these values into the <u>slope-intercept form</u> to solve for the y-intercept, <em>b</em>:
y = mx + b
5 = 1(10) + b
5 = 10 + b
Subtract 10 from both sides to isolate b:
5 - 10 = 10 - 10 + b
-5 = b
The y-intercept of the line is: b = -5. This represents the y-coordinate of the y-intercept, (0, -5), which represents the point on the graph where it crosses the y-axis. Along the y-axis, the value of x = 0. Hence, the y-intercept is (0, -5).
Therefore, given the slope, m = 1, and the y-intercept, b = -5:
The equation of the line in slope-intercept form is: y = x - 5.
Answer: 1.25
Step-by-step explanation:
Answer:
perimeter of rectangle= 2(l+w)
34=2(l+6.5)
34= 2l+13
2l=34-13
<u>2l</u>=<u>21</u>
2. 2
l= 10.5 units
Answer (the system of equations input doesn't work, so there is no brace):
x = 1.5y
x + y =800
Step-by-step explanation:
First, identify the vital information:
- 800 total students
- 1.5 times as many boys as girls
So, if x = number of boys and y = number of girls, we can agree that:
x = 1.5y
And because there are 800 kids in total, we can agree that:
x + y = 800
There are 320 girls and 480 boys. (see below)
Since you have the value of x, 1.5y, you can plug-in the value:
x + y = 800
1.5 + y = 800
2.5y = 800
y = 320 girls
Plug-in the y-value into the equation for the number of boys:
x = 1.5y
x = 1.5(320)
x = 480 boys
To double-check:
320 + 480 = 800 ☺
Answer:
Scientific notation is a way of expressing, and handling, a mathematical expression used to represent a decimal number between 1 and 10 (multiplied by ten), so large numbers can be made with using less digits. An example would be writing 4 x 10³ for 4,000.
Step-by-step explanation:
