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shtirl [24]
3 years ago
11

PLS HELP SHOW ALL YOUR WORKING OUT THANK YOU IN ADVANCE :D

Mathematics
2 answers:
Anna35 [415]3 years ago
5 0

Answer:

AB =3 \sqrt{5}  = 6.708203932...

Step-by-step explanation:

A( - 1,6) \:,\: B(5,3)\\ AB =  \sqrt{{(x1 - x2)}^{2}  +  {(y1 - y2)}^{2} }  \\ AB  =  \sqrt{ {( - 1 - 5)}^{2} +  {(6 - 3)}^{2}  }  \\ AB =  \sqrt{ {( - 6)}^{2}  +  {(3)}^{2} }  \\ AB =  \sqrt{36 + 9}  \\ AB =  \sqrt{45}  = 3 \sqrt{5}  = 6.708203932...

anygoal [31]3 years ago
4 0

AB=\sqrt{(5-(-1))^2+(3-6)^2}=\sqrt{36+9}=\sqrt{45}=3\sqrt5\approx6.71

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Expand the number 1120 into its corresponding exponential form. 25 · 5 · 7 52 · 8 22 · 53 · 7 2 · 5 · 7
Eduardwww [97]

Answer:

(A) 2^{5} * 5 * 7

Step-by-step explanation:

Your question formatting made it very complicated to understand the possible answers.  Please use some notation or the equation editor next time.

So, the exponential form a way to write a number using multiplications and powers.

Let's examine the various options (if I read them correctly)

(A) 2^{5} * 5 * 7 - YES!

2^{5} is 32, so 32 * 5 * 7 = 160 * 7 = 1120

(B) 5² · 8  - NO

= 25 * 8 = 200

(C) 2² * 5³ * 7 - NO

= 4 * 125 * 7 =500 * 7 = 3500

(D) 2 · 5 · 7 - NO

= 10 * 7 = 70

5 0
3 years ago
Suppose z is proportional to the square root of x. If z = 717 when x = 9, find the proportionality constant k.??
Dahasolnce [82]

Answer:

  239

Step-by-step explanation:

Write the equation. Fill in the given values, and solve for the unknown,

  z = k√x

  717 = k√9

  k = 717/3 = 239

The constant of proportionality is 239.

8 0
2 years ago
Read 2 more answers
The equation of a linear function in point-slope form is y – y1 = m(x – x1). Harold correctly wrote the equation y = 3(x – 7) us
Yanka [14]

Answer:

The point is (7,0).

Step-by-step explanation:

The equation of a linear function in point-slope form is as follows :

y-y_1=m(x-x_1) ...(1)

Where

(x₁,y₁) are the coordinates of the point which  the line passes through it and (x,y).

Harold correctly wrote the equation y= 3(x–7)

or we can write it as :

y-0=3(x-7) ...(2)

Comparing equations (1) and (2), we get :

x₁ = 7 and y₁ = 0

So, the point is (7,0).

The correct option is (c).

7 0
3 years ago
Mr. Hartman, the school librarian, is ordering new keyboards and mice for all of the school's computer labs. Each keyboard costs
mario62 [17]

Answer:

3 * 20s

Step-by-step explanation:

In order to find out how much Mr. Hartman will spend in total we first need to multiply the price of the keyboard and mouse by the number of computers in a single computer station. Once we have these products we add them together. Finally, we multiply this new value by 3 since there are a total of 3 computer stations. If we turn this into an expression it would be the following...

3 * (13.50s + 6.50s)

We can even simplify this by first adding the cost of the keyboard and mouse and then multiplying by s

3 * 20s

6 0
3 years ago
Find the slope given the two points. (2, -6) and (2, 3)
kifflom [539]

Answer: Undefined

The x coordinates are the same, so a vertical line forms. All vertical lines have undefined slopes.

We can see it through the slope formula

m = (y2-y1)/(x2-x1)

m = (3-(-6))/(2-2)

m = (3+6)/(2-2)

m = 9/0

We cannot divide by zero, so the result is undefined.

5 0
3 years ago
Read 2 more answers
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