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3 years ago

Which equation is a point slope form of the equation of this line

Mathematics

1 answer:

Jet001 [13]3 years ago

6 0

The answer is -2x+y+5=0

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Someone help me out pls

Leni [432]

Answer:

EF ≈ 3.8

Step-by-step explanation:

Using the Sine rule in Δ DEF

$\frac{EF}{sin75}$ = $\frac{DE}{sin50}$ , that is

$\frac{EF}{sin75}$ = $\frac{3}{sin50}$ ( cross- multiply )

EF × sin50° = 3 × sin75° ( divide both sides by sin50° )

EF = $\frac{3sin75}{sin50}$ ≈ 3.8

8 0

3 years ago

Consider a sequence given by the formula f(n)=3n-1 starting with n=1. Generate the first 5 terms of the sequence

Rufina [12.5K]

Answer:

The first 5 terms are 2, 5, 8, 11, 14.

Step-by-step explanation:

You use the formula to find out each term.
f(n)=3n-1 starting with n=1. If n=1 that is the 1st term, if n=2 that is the 2nd term, and so on. n means what number term it is.
Now to find each term:

n=1: f(1)= 3(1)-1= 3-1= 2 The 1st term is 2
n=2: f(2)= 3(2)-1= 6-1= 5 The 2nd term is 5
n=3: f(3)= 3(3)-1= 9-1=8 The 3rd term is 8
n=4: f(4)= 4(3)-1= 12-1= 11 The 4th term is 11
n=5: f(5)= 5(3)-1= 15-1= 14 The 5th term is 14

So the first 5 terms are 2,5,8,11,14

5 0

3 years ago

Expand<br> (2x - 3)4 <br><br> Can you help me expand this by using the binomial theorem?

saw5 [17]

The value of expanding (2x -3)^4 is 16x^4 + 96x^3 +216x^2 -216x + 81

<h3>How to expand the expression?</h3>

The expression is given as:

(2x -3)^4

Using the binomial expansion, we have:

$(2x -3)^4 = ^4C_0 * (2x)^4 * (-3)^0 +^4C_1 * (2x)^3 * (-3)^1 + ^4C_2 * (2x)^2 * (-3)^2 + ^4C_3 * (2x)^1 * (-3)^3 + ^4C_4 * (2x)^0 * (-3)^4$

Evaluate the combination factors.

So, we have:

$(2x -3)^4 = 1 * (2x)^4 * (-3)^0 + 4 * (2x)^3 * (-3)^1 + 6 * (2x)^2 * (-3)^2 + 4 * (2x)^1 * (-3)^3 + 1 * (2x)^0 * (-3)^4$

Evaluate the exponents and the products

$(2x -3)^4 = 16x^4 + 96x^3 +216x^2 -216x + 81$

Hence, the value of expanding (2x -3)^4 is 16x^4 + 96x^3 +216x^2 -216x + 81

Read more about binomial expansions at:

brainly.com/question/13602562

#SPJ1

8 0

2 years ago

The sales tax is 5 percent what is the tax on an item that cost $24

iris [78.8K]

Answer:

$25.20

Step-by-step explanation:

5% of 24 = 1.20

REASON: .05=5% (5÷100=.05because % means out of 100 or a ÷ sign)

24+1.20= 25.20

6 0

3 years ago

1/2(x-2)<3/4(1-3x) <-2

Nonamiya [84]

Answer:

$0.5x-1$

Step-by-step explanation:

$0.5(x-2)$

4 0

3 years ago