Ask question

Ask question

All categories

2 years ago

11

20. What is the equation of the line that passes through the points (–2, 2) and (0, 5)? A. y = x + 5 B. y = x – 5 C. y = –3/2x +

5 D. y = 3/2x + 5
PLEASE HELP!!!!!!!!

1 answer:

Vanyuwa [196]2 years ago

3 0

y=mx+b

first find the y intercept or b or x=0

b=5

now find the slope

y²-y¹/x²-x¹--> 5-2/0-(-2)

m=3/2

the equation is D. y=3/2x+5

You might be interested in

What is the probability of flipping 4 coins and having exactly three of them land on tails?

Elodia [21]

3/4 coins are heads:
THHH
HTHH
HHTH
HHHT

4 chances

2 options of heads/tails with 4 coins

2*2*2*2= 16

4/16 :)

4 0

2 years ago

hi, i dont undertand number 20 because i was absent in class today and i rerally need help, i will appraciate with the help, and

Mariulka [41]

Given:

The equation is,

$2\log _3x-\log _3(x-2)=2$

Explanation:

Simplify the equation by using logarthimic property.

$\begin{gathered} 2\log _3x-\log _3(x-2)=2 \\ \log _3x^2-\log _3(x-2)=2_{}\text{ \lbrack{}log(a)-log(b) = log(a/b)\rbrack} \\ \log _3\lbrack\frac{x^2}{x-2}\rbrack=2 \end{gathered}$

Simplify further.

$\begin{gathered} \log _3\lbrack\frac{x^2}{x-2}\rbrack=2 \\ \frac{x^2}{x-2}=3^2 \\ x^2=9(x-2) \\ x^2-9x+18=0 \end{gathered}$

Solve the quadratic equation for x.

$\begin{gathered} x^2-6x-3x+18=0 \\ x(x-6)-3(x-6)=0 \\ (x-6)(x-3)=0 \end{gathered}$

From the above equation (x - 6) = 0 or (x - 3) = 0.

For (x - 6) = 0,

$\begin{gathered} x-6=0 \\ x=6 \end{gathered}$

For (x - 3) = 0,

$\begin{gathered} x-3=0 \\ x=3 \end{gathered}$

The values of x from solving the equations are x = 3 and x = 6.

Substitute the values of x in the equation to check answers are valid or not.

For x = 3,

$\begin{gathered} 2\log _3(3^{})-\log _3(3-2)=2 \\ 2\log _33-\log _31=2 \\ 2\cdot1-0=2 \\ 2=2 \end{gathered}$

Equation satisfy for x = 3. So x = 3 is valid value of x.

For x = 6,

$\begin{gathered} 2\log _36-\log _3(6-2)=2 \\ 2\log _36-\log _34=2 \\ \log _3(6^2)-\log _34=2 \\ \log _3(\frac{36}{4})=2 \\ \log _39=2 \\ \log _3(3^2)=2 \\ 2\log _33=2 \\ 2=2 \end{gathered}$

Equation satifies for x = 6.

Thus values of x for equation are x = 3 and x = 6.

6 0

6 months ago

Find the length of the leg of the right triangle leave your answer in simplest radical form

erastova [34]

Answer:

a =12*sqrt(2)

Step-by-step explanation:

3. The Pythagorean theorem states

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

a^2 +21^2 = 27^2

a^2 +441 =729

Subtract 441 from each side

a^2 +441-441 = 729 -441

a^2 =288

Take the square root of each side

sqrt(a^2) = sqrt(288)

sqrt(xy) = sqrt(x)sqrt(y)

a = sqrt(144)sqrt(2)

a =12*sqrt(2)

7 0

2 years ago

How do you prove the Pythagorean Theorem with Similar Triangles using either a two-column, paragraph, or flow chart proof?

svetlana [45]

Answer:

i dont know

Step-by-step explanation:

5 0

2 years ago

Suppose Johnny invests $41,745 into an account, which has been earning interest for many years and he now has a total of $39,974

Dmitriy789 [7]

Answer:

A negative number would be reasonable in the solution of the rate of the investment. It would be reasonable because Johnny started out with $41,745 in his account and ended up with $39,974 which means that the rate has to be negative.

please rate and thank : )

7 0

2 years ago