Answer:
1. 8
2. 4
3a. -6 and -4
3b. -1/2 and -5
Step-by-step explanation:
3a explanation:
Factor x^2+10x+24
(x+4)(x+6)
Set the factors equal to 0
x + 4 = 0
x + 6 = 0
-4 and -6
3b.
Factor left side of equation.
(2x+1)(x+5)=0
Set factors equal to 0.
2x + 1 = 0 or
x + 5 = 0
x = −1/2
x = -5
-5 and -1/2
Rewrite equations:
x+y=14;42x+25y=486
Step: Solvex+y=14for x:
x+y=14
x+y+−y=14+−y(Add -y to both sides)
x=−y+14
Step: Substitute−y+14forxin42x+25y=486:
42x+25y=486
42(−y+14)+25y=486
−17y+588=486(Simplify both sides of the equation)
−17y+588+−588=486+−588(Add -588 to both sides)
−17y=−102
−17y
−17
=
−102
−17
(Divide both sides by -17)
y=6
Step: Substitute6foryinx=−y+14:
x=−y+14
x=−6+14
x=8(Simplify both sides of the equation)
On Fri, Sep 20, 2019 at 12:08 PM ESQULESE BLACK wrote:
Answer:
24501.42 cubic meters
Step-by-step explanation:
Volume of a cylinder
= pi r^2 h
Given diameter = 34
radius r = diameter/2
= 34/2 = 17
So radius r = 17
Height h = 27
Pi = 3.14
Volume = 3.14 x (17)^2 x 27
= 3.14 x 17 x17 x 27
Multiply through
= 24501.42 cubic meters
Fold in half.
Fold in half again.
Answer:
x+6=y and 3x=12
Step-by-step explanation:
Let x be the distance traveled by Bryan and let y be the distance traveled by Sam then the first equation would be:
x+6=y (x plus 6 is equal to y, Bryan's distance plus 6 is equal to Sam's distance) and the second one is:
3x=12 (3 times x is 12, 3 times the distance travelled by Bryan is 12)
So our statements/equations are:
x+6=y and
3x=12 (we dont write this as x=4 as it asks us to give the statements we got from the information given, we only start simplifying once it tells us to solve)
