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2 years ago

Complete the equation of the line whose interpret is (9.0) and slope is -2. Remember to use y=mx+b format

Mathematics

1 answer:

kenny6666 [7]2 years ago

7 0

Answer:

y = - 2x + 18

Step-by-step explanation:

Step 1:

y = mx + b Slope Intercept Form

Step 2:

y = - 2x + b Input Slope Value

Step 3:

0 = - 2 ( 9 ) + b Input x and y values

Step 4:

0 = - 18 + b Multiply

Step 5:

b = 18 Add 18 on both sides

Answer:

y = - 2x + 18

Hope This Helps :)

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andrey2020 [161]

Answer:

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2 years ago

Find the 2th term of the expansion of (a-b)^4.

vladimir1956 [14]

The second term of the expansion is $-4a^3b$ .

Solution:

Given expression:

$(a-b)^4$

To find the second term of the expansion.

$(a-b)^4$

Using Binomial theorem,

$(a+b)^{n}=\sum_{i=0}^{n}\left(\begin{array}{l}n \\i\end{array}\right) a^{(n-i)} b^{i}$

Here, a = a and b = –b

$$(a-b)^4=\sum_{i=0}^{4}\left(\begin{array}{l}4 \\i\end{array}\right) a^{(4-i)}(-b)^{i}$

Substitute i = 0, we get

$$\frac{4 !}{0 !(4-0) !} a^{4}(-b)^{0}=1 \cdot \frac{4 !}{0 !(4-0) !} a^{4}=a^4$

Substitute i = 1, we get

$$\frac{4 !}{1 !(4-1) !} a^{3}(-b)^{1}=\frac{4 !}{3!} a^{3}(-b)=-4 a^{3} b$

Substitute i = 2, we get

$$\frac{4 !}{2 !(4-2) !} a^{2}(-b)^{2}=\frac{12}{2 !} a^{2}(-b)^{2}=6 a^{2} b^{2}$

Substitute i = 3, we get

$$\frac{4 !}{3 !(4-3) !} a^{1}(-b)^{3}=\frac{4}{1 !} a(-b)^{3}=-4 a b^{3}$

Substitute i = 4, we get

$$\frac{4 !}{4 !(4-4) !} a^{0}(-b)^{4}=1 \cdot \frac{(-b)^{4}}{(4-4) !}=b^{4}$

Therefore,

$$(a-b)^4=\sum_{i=0}^{4}\left(\begin{array}{l}4 \\i\end{array}\right) a^{(4-i)}(-b)^{i}$

$=\frac{4 !}{0 !(4-0) !} a^{4}(-b)^{0}+\frac{4 !}{1 !(4-1) !} a^{3}(-b)^{1}+\frac{4 !}{2 !(4-2) !} a^{2}(-b)^{2}+\frac{4 !}{3 !(4-3) !} a^{1}(-b)^{3}+\frac{4 !}{4 !(4-4) !} a^{0}(-b)^{4}$ $=a^{4}-4 a^{3} b+6 a^{2} b^{2}-4 a b^{3}+b^{4}$

Hence the second term of the expansion is $-4a^3b$ .

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3 years ago

What is the radius of the circle who’s equation is x^2 + y^2 = 9

Svetllana [295]

Answer:

r=3

Step-by-step explanation:

The equation of a circumference is $(x-a)^2+(y-b)^2=r^2$ .
Then , in this case $r^2=9$ , and then to know the value of r we just simply have to calculate the square root of 9, which is 3.

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3 years ago

Write the following sentence into an expression using x as your variable: Myrna and Tom collect stamps. Tom has four more than h

balandron [24]

Answer: f(x) = x/2 + 4.

where f(x) is the number of stamps that Tom has, and x is the number of stamps that Myrna has.

Step-by-step explanation:

The statement is:

"Tom has four more than half the stamps that Myrna has"

For how is written, we can model the number of stamps that Tom has as a function f(x).

f(x) represents the number of stamps that Tom has, and x is the number of stamps that Myrna has.

Then:

"four more than a number" is written as:

N + 4 (where N is the number)

"Half the stamps that Myrna has" is written as:

x/2.

Then the whole statement can be modeled as:

f(x) = x/2 + 4.

notice that we have x/2, and f(x) must be a whole number, so Myrna must have an even number of stamps (in that case x/2 will be integer)

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3 years ago

Complete the equation of the line whose interpret is (9.0) and slope is -2. Remember to use y=mx+b format￼

Complete the equation of the line whose interpret is (9.0) and slope is -2. Remember to use y=mx+b format