For this case what you should know is that the vector ab will be given by:
ab = b-a
We have then:
ab = (3, 5) - (- 2, 4)
ab = ((3 - (- 2)), (5-4))
ab = (5, 1)
Equivalently the vector is:
ab = 5i + 1j
Answer:
ab = 5i + 1j
Answer:

Step-by-step explanation:
<u>Equation of a line</u>
A line can be represented by an equation of the form

Where x is the independent variable, m is the slope of the line, b is the y-intercept and y is the dependent variable.
We need to find the equation of the line passing through the point (7,2) and is perpendicular to the line y=5x-2.
Two lines with slopes m1 and m2 are perpendicular if:

The given line has a slope m1=5, thus the slope of our required line is:

The equation of the line now can be expressed as:

We need to find the value of b, which can be done by using the point (7,2):

Operating:

Multiplying by 5:

Operating:

Solving for b:

The equation of the line is:

The equation y=mx+b
Slope= m
y-intercept= b
y= 2x+0 so y=2x
The answer would be 137 degrees because of supplementary angles of x and 43 degrees. Then the angle opposite of x (z) is the same as x.
Answer:
The area in factored form is
.
The area in standard form is
.
Step-by-step explanation:
The area of a rectangle is length times width.
So the area here is (x+2)(x-5).
They are probably not looking for A=(x+2)(x-5) because it requires too little work.
They probably want A in standard form instead of factored form.
Let's use foil:
First x(x)=x^2
Outer: x(-5)=-5x
Inner: 2(x)=2x
Last: 2(-5)=-10
---------------------Adding together:
.
The area in factored form is
.
The area in standard form is
.