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Anastasy [175]
3 years ago
8

The coordinate plane has the following points A=(2, 1), B=(5, 1), C=(7,2), and 1 point

Mathematics
1 answer:
dusya [7]3 years ago
3 0

Answer:

<em>d = 3</em>

Step-by-step explanation:

Coordinate Plane

The image provided shows the four points given:

A=(2, 1), B=(5, 1), C=(7,2), D=(4,2).

It can be clearly seen the length of CD is just the difference of their x-coordinates:

CD = 7 - 4 = 3

We can also use the formula of the distance.

Given two points C(x,y) and D(w,z), the distance between them is:

d=\sqrt{(z-y)^2+(w-x)^2}

d=\sqrt{(2-2)^2+(7-4)^2}

d=\sqrt{0^2+3^2}

d=\sqrt{9}

d = 3

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Jason wanted to place all 540 marbles in the 3 newly bought boxes. If he wants to
kotegsom [21]

Answer:

The first box will have 90 marbles, the second 180 and the third 270.

Step-by-step explanation:

Division in a ratio of 1:2:3

1 + 2 + 3 = 6

So

The first box will have 1/6 of the marbles.

The second box will have 2/6 = 1/3 of the marbles

The third box will have 3/6 = 1/2 of the marbles.

First box:

One sixth, so:

(1/6)*540 = 540/6 = 90

Second box:

One third, so:

(1/3)*540 = 540/3 = 180

Third box:

One half, so:

(1/2)*540 = 540/2 = 270

The first box will have 90 marbles, the second 180 and the third 270.

7 0
2 years ago
Which of the x values are solutions to the inequality 4(2 – x) &gt; –2x – 3(4x + 1)? Check all that apply.
steposvetlana [31]
4(2 - x) > -2x - 3(4x + 1)
8 - 4x > -2x - 12x - 3
-4x + 2x + 12x > -3 - 8
10x > -11
x > -11/10
x > -1.1

Therefore, x = 0 and x = 10 zre solutions to the inequality.
4 0
3 years ago
Read 2 more answers
Percy solved the equation x2 + 7x + 12 = 12. His work is shown below. Is Percy correct? Explain.
antoniya [11.8K]
= > x² + 7x + 12 = 12

= > x² + ( 4 + 3 )x + 12 = 12

= > x² + 4x + 3x + 12 = 12

= > x( x + 4 ) + 3( x + 4 ) = 12

= > ( x + 4 ) ( x + 3 ) = 12


Percy did correct till this step. But by doing like this, Percy can't get the values of the variable x.



Percy should follow the following steps :

= > x² + 7x + 12 = 12


Add -12 on both sides,


= > x² + 7x + 12 - 12 = 12 - 12

= > x² + 7x = 0

= > x( x + 7 ) = 0

= > ( x = 0 ) or ( x + 7 = 0 )

= > ( x = 0 ) or ( x = - 7 )



Hence, required value(s) of x is 0 or -7
.
8 0
3 years ago
Read 2 more answers
Mr. Moore planted a tree in his backyard. His tree grew 3 1/3 feet over five years. if his tree grew at the same rate each year,
alina1380 [7]

Answer:

D. 2/3 per year.

Step-by-step explanation:

3 1

3

÷ 5

=  

10

3

÷ 5

=  

10

3

×  

1

5

=  

10 × 1

3 × 5

=  

10

15

=  

10 ÷ 5

15 ÷ 5

=  

2

3

4 0
2 years ago
SOMEONE PLEASE HELP ME IM STRESSED OUT I’ll GIVE OUT BRAINLIEST PLEASE DON’T ANSWER IF YOU DON’T KNOW
evablogger [386]

Answer:

Number 7: 40%

Number 8: 75%

Step-by-step explanation: Hope i helped mate

4 0
2 years ago
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