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3 years ago

Given:2x-2+4(x+1)=50 prove:x=8

Mathematics

1 answer:

MArishka [77]3 years ago

6 0

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Find the distance from P to l.

ki77a [65]

$Equation\ of\ a\ line\ from\ 2\ points (x_1;\ y_1);\ (x_2;\ y_2):\\\\y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\(-4;\ 2)\ and\ (3;-5)\\subtitute:\\\\y-2=\dfrac{-5-2}{3-(-4)}\cdot(x-(-4))\\\\y-2=\dfrac{-7}{7}\cdot(x+4)\\\\y-2=-(x+4)\\\\y-2=-x-4\ \ \ |add\ x\ and\ 4\ to\ both\ sides\\\\x+y+2=0\\-------------------\\$

$Point-line\ distance\\l:Ax+By+C=0;\ (x_0;\ y_0)\\\\d=\dfrac{|Ax_0+By_0+C|}{\sqrt{A^2+B^2}}\\\\x+y+2=0\to A=1;\ B=1;\ C=2\\(1;\ 2)\to x_0=1;\ y_0=2\\subtitute\\\\d=\dfrac{|1\cdot1+1\cdot2+2|}{\sqrt{1^2+1^2}}=\dfrac{|1+2+2|}{\sqrt2}=\dfrac{|5|}{\sqrt2}=\dfrac{5}{\sqrt2}=\dfrac{5\cdot\sqrt2}{\sqrt2\cdot\sqrt2}\\\\=\boxed{\dfrac{5\sqrt2}{2}}$

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4 years ago

Which of the following correlation coefficients would generate the most benefit in terms of risk reduction for a 2-asset portfol

mart [117]

Answer:

Asset B generate most benefit.

Step-by-step explanation:

Correlation shows the strength of relation between two variables.

Greater the correlation coefficient greater the strength between two variables.

Since here It is given that Correlation Coefficient between risk reduction and Asset B is higher (i.e. 60%) than the Correlation Coefficient between risk reduction and Asset A (i.e. 40%).

Thus, Asset B generate most benefit.

8 0

3 years ago

Which of the following is the solution to the following system of inequalities?

jek_recluse [69]

Answer:

Step-by-step explanation:

for example point (2,0) is one of the solutions.

=> x + 2y <4

2+ 2(0) = 2 => 2< 4 (true)

=> 3x – y > 2

3(2)-0= 6 => 6>2 (true)

so, the option D is the correct one

7 0

3 years ago

Read 2 more answers

christian has 1/8 of a hershey's bar. Ellie has 1/3 of a hershey's bar. who has more, and how much more do they have

Genrish500 [490]

Answer:

Christian has more candy bar left because 1/8 is less than 1/3.

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

I WILL GIVE BRAINLIEST TO WHOEVER IS CORRECT

Likurg_2 [28]

2. Multiplication Property of Equality

3. Can be either x=10, or x-2=8

4. Addition Property of Equality

5. Can be either x=10, or x-2=8; Simplifying

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4 years ago