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madam [21]
3 years ago
7

Question 17 of 25

Mathematics
1 answer:
stepan [7]3 years ago
6 0
Ok so it’s pretty much be D. kinda hard to explain but i hope it helped
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Number of Packets
Alex

Answer:

13. D = 18

14. S = (x, y + 6)

Step-by-step explanation:

13.

Given

M = (-8,2)

S = (10,2)

Required

Determine the distance between M and S

Distance (D) is calculated using:

D = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}

Where

(x_1,y_1) = (-8,2)

(x_2,y_2) = (10,2)

D = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}

D = \sqrt{(10 - (-8))^2 + (2 - 2)^2}

D = \sqrt{(10 +8)^2 + 0^2}

D = \sqrt{18^2 + 0}

D = \sqrt{18^2}

D = 18

<em>Hence, the distance between M and S is 18 units</em>

<em></em>

14.

The coordinate of S and P are not given,

So, I'll just use (x,y) for P

i.e.

P=(x,y)

Required

Determine the coordinates of S

If S is 6 units above P, then the coordinates of S is

S = (x, y + 6)

<em>i.e. we add the units to the y coordinate of P.</em>

8 0
3 years ago
(d+5)^2=36 Please show all steps to find the solution set
Ivan

\sqrt{d + 5 =  \sqrt{36} }  \\ d + 5 =  +  - 6 \\ d  =  +  - 6 - 5 \\ d1 = 1 \\ d2 =  - 11
3 0
3 years ago
Factorise x 2 + 20 x + 100
S_A_V [24]

Answer:

(x+10)(x+10)

or (x+10)²

Step-by-step explanation:

this factories can use this

a² + 2ab + b²

; (a)² + 2(a)(10) + (b)²

= (a+b)²

hope it helps you ☺️

Any questions (ask me in comments)

6 0
2 years ago
A rectangle has one side that measures 3x + 1 and another that measures 4y + 3. Keith says that the perimeter of the rectangle i
mart [117]

Answer:

he added the dimensions of the rectangle. He used the wrong formula. the formula he used was length + breadth. He should have multiplied by 2

6x + 8y +8

Step-by-step explanation:

Perimeter of a rectangle = 2 x (L + B)

L = length

b = breadth

2 (3x + 4y + 4. ) = 6x + 8y +8

5 0
3 years ago
Question is: Solve -7(x+6)=4(x+6)
Alina [70]

\huge\boxed{x=-6}

Hey there! Our goal here is to isolate the variable on one side of the equation.

\begin{aligned}-7(x+6)&=4(x+6)&&\smash{\Big|}&&\textsf{Start with the original equation.}\\-7x+(-7)(6)&=4x+4(6)&&\smash{\Big|}&&\textsf{Distribute.}\\-7x-42&=4x+24&&\smash{\Big|}&&\textsf{Multiply.}\\-7x-4x&=24+42&&\smash{\Big|}&&\textsf{Move the terms.}\\-11x&=66&&\smash{\Big|}&&\textsf{Combine like terms.}\\x&=\boxed{-6}&&\smash{\Big|}&&\textsf{Divide both sides by $-11$.}\end{aligned}

8 0
2 years ago
Read 2 more answers
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