Answer:
a=15
Step-by-step explanation:
By pythagoras' theorem
25²=20²+a²
625=400+a² group like terms
a²=625-400
a²=225

therefore a=15
Answer:
Step-by-step explanation:
Given
w is the classmate's weight in pounds
h is the height
The general formula for the expression is y = MX+c where
m is the slope
c is the intercept
M is the change in y to change in x
Comparing with the given equation
w = 6.5h - 275, we will see that the slope of the equation is 6.5 and can be expressed as the change in the classmate's height to the classmate's weight
slope = dh/dw = 6.5
Answer:
The sequence is not geometric or arithmetic because there is no common difference or common ratio between each term.
Not a Geometric or Arithmetic Sequence
10) (9,-3); m=2
(a) y=2x-11
Plug in the variables that are constant on both the given line and the new one.
y=mx+b
-3=2(9)+b
Do not input b, as the y intercept is relative to the specific line, and not others.
-3=18+b
-3-18=b
-21=b
The y intercept of the new line is -21.
FINAL ANSWER::y=2x-21
(b) y=2x-21
Plug in the variables that are constant on both the given line and the new one.
y=mx+b
-3=2(9)+b
Do not input b, as the y intercept is relative to the specific line, and not others.
-3=18+b
-3-18=b
-21=b
The y intercept of the new line is -21
FINAL ANSWER::y=2x-21
Or equivalent to the original.
Hope this helps you solve the rest. ;)
1.1 Solve y-12x+7 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line y-12x+7 = 0 and calculate its properties
According to: https://www.tiger-algebra.com/drill/y=12x-7/