Answer:
Explanation:
To find the difference (3c - d)² you should recognize that it is the square of a difference of two terms.
The square of the difference of two terms is a special case that you should remember: it is equal to the square of the first, minus twice the product of the first and second, plus the square of the second:
For the binomial (3c - d)² you have that:
Thus:
- (3c -d)² = (3c)² - 2(3c)(d) + d² = 9c² -6cd + d² ← answer
Answer:
5
Step-by-step explanation:
f(-4) = sqrt(2(4)^2 -7) (Plug in -4)
f(-4)= sqrt(2(16)-7) (Square 4 which is 16)
f(-4)=sqrt(32-7) (Multiply by 2)
f(-4)=sqrt(25) (Subtract 7)
f(-4)=+/- 5 (take the square root of 25 which is postive/negative 5)
Since this is a function there can only be one y to an x the positive 5 is the only answer
None of the options is correct, because the slope =(y2-y1)/(x2-x1) so the answer is: slope=(7-3)/(4-1) = 4/3
Answer:125.6 feet
Step-by-step explanation:
diameter=40 feet
π=3.14
Circumference= π x diameter
Circumference=3.14 x 40
Circumference=125.6
Answer:
(-2,3)
Step-by-step explanation:
y=x+5 y=−2x−1
Solve y=x+5 for y:
Substitute x+5 for y in y=−2x−1:
y=−2x−1
x+5=−2x−1
x+5+2x=−2x−1+2x (Add 2x to both sides)
3x+5=−1
3x+5+(−5)=−1+(−5) (Add -5 to both sides)
3x=−6
<u>3x </u> = <u>-6</u> (Divide both sides by 3)
3 3
x=−2
Substitute −2 for x in y=x+5:
y=x+5
y=−2+5
y=3 (Simplify both sides of the equation)
Therefore, x= -2 and y=3
