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DanielleElmas [232]
2 years ago
12

Solve. k + 6 > 19

Mathematics
1 answer:
Readme [11.4K]2 years ago
8 0

Answer:

k > 13

Step-by-step explanation:

k+6 > 19\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:k > 13\:\\ \:\mathrm{Interval\:Notation:}&\:\left(13,\:\infty \:\right)\end{bmatrix}

\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}

k+6-6 > 19-6

\mathrm{Simplify}

k > 13

Thus, the answer is k > 13

[RevyBreeze]

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What is equivalebt to 6/12
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3/6
 because 6 divided by 2 = 3 
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add 7. double the result. subtract 8. divide by 2. su tract the orginial selected number 1st nuber is 3 second number is 4 the t
sertanlavr [38]
Hi,


The equation looks like this...

n + 7 \times 2 - 8 \div 2 \\ 3 + 7 \times 2 - 8 \div 2 = 3 + 14 - 4 = 13 \\ 4 + 7 \times 2 - 8 \div 2 = 4 + 14 - 4 = 14 \\ 9 + 7 \times 2 - 8 \div 2 = 9 + 14 - 4 = 19 \\ 12 + 7 \times 2 - 8 \div 2 = 12 + 14 - 4 = 22

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r3t40
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3 years ago
Write an equation of a line whose graph is parallel to the graph of y = 3x – 10.
Nataly [62]

Answer:

y= -3x +4

Step-by-step explanation:

If the lines are parallel, the slopes are the same

so if a line is parallel to y =3x-10, the slope is also m=3

using y= mx+b

y = 3x+b

we can pick any b but -10 because that would make it the same line


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A circle has a diameter with endpoints at (6, 5) and (8, 5). Write the equation for the circle.
mario62 [17]

Answer:

(x-7)^2+(y-5)^2=1

Step-by-step explanation:

The two things that are required to formulate the equation of the circle is the center coordinate and the radius of the circle!

<u>Center of the circle:</u>

  • The center of the circle always lies at the midpoint of the endpoints of its diameter: Let's call the endpoints A(6,5) and B(8,5).

Using the midpoint formula we'll get:

(x_m, y_m) = \left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)

(x_m, y_m) = \left(\dfrac{6+8}{2},\dfrac{5+5}{2}\right)

(x_m, y_m) = (7,5)

This is the center coordinate of our circle.

<u>Radius: </u>

The radius of the circle is the distance from the center of the circle to any of the endpoints of the diameter (A or B)

We can use the distance formula:

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

r = \sqrt{(x_1-x_m)^2+(y_1-y_m)^2}

r = \sqrt{(6-7)^2+(5-5)^2}

r = \sqrt{1^2}

r = 1

<u>Equation of the circle: </u>

The equation is written as:

(x-a)^2+(y-b)^2=r^2

here, (a,b) are the center points of the circle

in our case this is (a,b)=(x_m,y_m)=(7,5)

and r = 1

(x-7)^2+(y-5)^2=1^2

(x-7)^2+(y-5)^2=1

This is the equation of the circle!

3 0
3 years ago
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