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3 years ago

Differentiation. questions 1 and 2

Mathematics

1 answer:

drek231 [11]3 years ago

4 0

For 11, we start by plugging 1 in, getting 2(1)^2+1-5=-2=y

Plugging 1+m instead, we get 2(1+m)^2+1+m-5=2(1+2m+m^2)+1+m-5
= 2+4m+2m^2+1+m-5= 2m^2+5m-2. We have to find the difference between that and -2, so 2m^2+5m-2 -(-2)=2m^2+5m

Differentiating 12, we use the Power Rule to get -6x^2+14, and plugging x=1 into it, we get -6(1)^2+14=-6+14=18

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I really am confused on how to write a proof.

kvasek [131]

Since ABCD is a parallelogram, the opposite sides will be parallel and equal,

$\begin{gathered} AB=CD \\ BC=AD \end{gathered}$

Consider that AC acts as a transversal to the parallel lines AB and CD, so we can write,

$\begin{gathered} \angle CAD=\angle ACB\text{ (Alternate Interior Angles)} \\ BC=AD\text{ (Opposite sides of parallelogram)} \\ \angle ADB=\angle CBD\text{ (Alternate Interior Angles)} \end{gathered}$

So by the ASA criteria, the triangle AED is congruent to the triangle CEB,

Then the corresponding parts of the triangles will be equal,

$\begin{gathered} AE=CE \\ BE=DE \end{gathered}$

Hence Proved.

8 0

1 year ago

Simplify the following algebraic expression:<br> 4+3 [6z - 5(6 +2z)]

Tatiana [17]

$\huge\text{Hey there!}$

$\huge\text{4+3 [6z - 5(6 +2z)]}$

$\huge\text{4+(3)(6z)+(3)(-5(6+2z))}\\\\\rightarrow\huge\text{4+18z+(-30z)+(-90)}$

$\huge\text{\bf{Combine the like terms if you have any.}}$

$\huge\text{Like term \#1: 10z \& -30z}\\\\\\\huge\text{Like term \#2: 4 \& -90}$

$\huge\text{18z + (-30z) + (4 + (-90))}$

$\huge\text{18z + (-30z) = -12z}\\\\\\\huge\text{4 + (-90) = -86}$

$\boxed{\boxed{\huge\text{Answer: -12z + (-86)}}}\huge\checkmark$

$\text{Good luck on your assignment and enjoy your day!}$

~ $\frak{LoveYourselfFirst:)}$

5 0

3 years ago

Read 2 more answers

What is the square root of 24.

Tpy6a [65]

Answer:4.898979486

Step-by-step explanation:

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2 years ago

Read 2 more answers

Find the sum of 4.5 x 10^-1and the quotient of 7x10^-4 and 8x10^-3

eduard

Answer:

4.5=9+8=10 cause we subbed

8+9=17

Step-by-step explanation:

5 0

2 years ago

Gabrielle is 3 times older than mikhail. the sum of their ages is 80. how old is mikhail

skelet666 [1.2K]

The sum of their ages equals 80.
Gabrielle is 3 times older than Mikhail

Two numbers that have a sum of 80, with one number being 3 times the other are:
Gabrielle’s age: 60
Mikhail’s age: 20

60 + 20 = 80
20 x 3 = 60

Mikhail is 20 years old.

4 0

3 years ago