First one :
We divide it into two rectangles (the top one has dimensions 2in*4in)
The area of the top rectangle is 2*4=8 in^2
The second rectangle has dimensions 3*(5-3)=6 in^2
Hence the total area is 8+6=14 square inches
Second one :
We divide it into a rectangle (dimensions 11*17) and a triangle on the top.
The area of the rectangle is 11*17=187 m^2
The rectangle has dimensions 17 (base's length) and 23-11 (height) hence its area is 17*(23-11)/2=102 m^2
Hence the total area is 102+187=289 square meters
Answer and Step-by-step explanation: <u>Standard</u> <u>form</u> of a quadratic equation is expressed as: y=ax²+bx+c, while <u>vertex</u> <u>form</u> is written as:
y=a(x-h)²+k.
The similarities between standard and vertex forms is that they show if the graph of the equation has a <u>minimum</u> (when a>0) or <u>maximum</u> (a<0) and it's easier to determine the y-intercept: for standard, the value of c is the intercept; for vertex, the value k is the intercept.
The advantage of standard form is that you can determine the product and sum of the equation's roots, which is a method to determine them.
The advantages of vertex form are: easier to find the vertex of the graph, which is the pair (h,k) and the axis of symmetry, which is the value of h.
Abcissa is x, and ordinate is y.
In this case the x is positive, and the y is negative.
Therefore, the answer is "positive, negative"
Ask which two numbers add up to -11 and multiply to 30?
That would be; -6 and -5
Rewrite the expression using what you have above;
<u>(x - 6)(x - 5)</u>