A black racer snake travels 4.6 km in 2 hours. What is the speed in km/h?
2 answers:
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Answer:
- Slope:
- x - intercept:
.
- y intercept:
.
Step-by-step explanation:
<u>Simplify:</u>
- Simplify the equation by subtracting what is to the right of the equal sign from both sides of the equation:
- 10*x+2*y-(20)=0.
<u>Step 1:</u>
- Pull out like factors:
- 10x + 2y - 20 = 2 * (5x + y - 10)
<u>Step 2:</u>
- Equations which are never true:
- Solve:
- 2 = 0
- This can't be solved.
- A non-zero constant never equals 0.
- Equation of a straight line:
- Solve: 5x+y-10 = 0
- "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 5x+y-10 = 0 and calculate its properties
- Calculate the y-intercept:
- Notice that when x = 0 the value of y is 10/1 so this line "cuts" the y axis at y=10.00000
- y-intercept = 10/1 = 10.00000
- Calculate the x-intercept:
- Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 10.000 and for x=2.000, the value of y is -0.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -0.000 - 10.000 = -10.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
- Slope = -10.000/2.000 = -5.000
<u>Answers:</u>
- Slope = -10.000/2.000 = -5.000
- x-intercept = 10/5 = 2
- y-intercept = 10/1 = 10.00000
Answer:
1) Solving the term using F.O.I.L we get
2) solving the term using F.O.I.L we get
3) Solving using square of binomial we get
4) Solving using square of binomial we get
Step-by-step explanation:
1) (3x + 5)(2x - 3). Solve using the F.O.I.L.
F.O.I.L stands for First, Outer Inner Last
We have
First: 3x(2x)
Outer: 3x(-3)
Inner: 5(2x)
Last: 5(-3)
Solving we get:
So, solving the term using F.O.I.L we get
2) (x + 2)(x – 13). Solve using the F.O.I.L.
F.O.I.L stands for First, Outer Inner Last
We have
First: x(x)
Outer: x(-13)
Inner: 2(x)
Last: 2(-13)
Solving we get:
So, solving the term using F.O.I.L we get
3) (x + 5)^2. Solve using the square of Binomial.
The square of binomial is:
Solving:
So, solving using square of binomial we get
4) (x -3)^2. Solve using the square of Binomial.
The square of binomial used is:
Solving:
So, solving using square of binomial we get