By definition, the area of a rectangle is:
Where,
w: width of the rectangle
l: length of the rectangle
The total area is given by:
Where,
A1: rectangular wooden board 1
A2: rectangular wooden board 2
Substituting we have:
Rewriting we have:
Answer:
The width is given by:
B) y-intercept (0, 2)
Eliminate
C) x-intercept (-3, 0)
D) x-intercept (-1, 0)
Answer:
B
Step-by-step explanation:
x-intercepts:
factor the function
f(x)=(x+3)(x+1)
zeros at x=-3,-1
x-intercepts --> (-3,0),(-1,0)
y-intercepts:
set x=0 in f(x)
f(0)=(0)^2+4(0)+3=3
y-intercept --> (0,3)
find minimums and maximums
The max or min of a quadratic function occurs at x=-b/(2a). If a is negative, the max value of the function is f(-b/(2a)). if a is positive, the minimum value of the function is f(-b/(2a)).
f(x)=ax^2+bx+c
f(x)=x^2+4x+3
here a is positive so you are looking for a minimum,
x=-b/(2a)
x=-4/(2*1)
x=-2 ----> plug into f(x), f(-2)=(-2)^2+4(-2)+3=-1
Answer:B
Step-by-step explanation:
The fraction which is greater among or using the least common multiple is .
A fraction is defined as a part of a whole. The upper part of the fraction is called the numerator and the lower part is called the denominator.
The greater fraction can be calculated using the least common method of the denominators.
The least common multiple (LCM) of the denominators 3 and 5, is 15.
Convert to get the denominator of 15:
=
=
Convert to get the denominator of 15:
=
After the comparison of and , it is observed that is smaller than
Therefore, is the greater fraction.
Learn more about fractions here:
#SPJ4
2 - (-8)=
= 10
Answer:
Here's one way to do it
Step-by-step explanation:
You can use a number line for the subtraction of integers.
Subtracting a negative number is the same as adding its opposite; you move to the right on the number line.
The opposite of -8 is +8, so
2 - (-8) is the same as 2 + 8.
Start at 2 and move 8 units to the right.
See the number line below.
2 - (-8) = 10
Answer:
It is D
Step-by-step explanation:
I quickly skipped the question but i know it is D, it might be switched for you, but it is the longest sentence and says some things about intersection and stuff. ALSO I DID THIS ON USA TEST PREP
Answer:
You shifted up 3 units?