Answer:
Matt should have factored out the leading coefficient 2 on the second step before completing the square
Step-by-step explanation:
To complete the square, you must first factor the leading coefficient from the first two terms.
y = 2x² − 10x − 4
y = 2 (x² − 5x) − 4
y = 2 (x² − 5x + 25/4 − 25/4) − 4
y = 2 (x² − 5x + 25/4) − 25/2 − 4
y = 2 (x − 5/2)² − 33/4
Answer:
The ratio of planet B's volume to planet A's volume is 1:512 or 1/512
Step-by-step explanation:
Volume of sphere = 4/3 π r^3
r = d/2
Radius of palnet A = 8/2 = 4
Radius of planet B = 1/2
Since 4/3 π is same in both volumes so, they cancel out when finding ratio.
Now ratio depends on radius cube of both planets
Volume of Planet B : Volume of Planet A
4/3 π(1/2)^3 : 4/3 π(4)^3
Cancelling 4/3 π on both sides
1/8 : 64
Multiply 8 on both sides
1 : 512
So, The ratio of planet B's volume to planet A's volume is 1:512 or 1/512
Answer:
Step-by-step explanation:
Methyl formate sometimes is also known as methyl methanoate. The removal of an anion from formate result in formic acid. So, we can simply say that methyl formate is a methyl ester of formic acid. Esters are named as alkyl derivates. Methyl formate is a colorless volatile liquid with a pleasant smell that is slightly soluble in water.
However, a dihedral angle is an angle that exists between pairs of chemical bonds separated by a third bond.
From the images attached below, we will see how methyl formate connects to the plane at an angle of 0° and 180°.
Answer:
x=1/4
Step-by-step explanation:
x-9=-15+7x (add x to both sides)
-9=-15+8x (Add 15 to both sides)
6=8x (divide by 8 from both sides)
.75=x in fraction 1/4
x=1/4
