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Marat540 [252]
3 years ago
13

Solve |3k-2|=2|k+12|

Mathematics
1 answer:
Stella [2.4K]3 years ago
7 0

Answer:

k = 26   or   k = -\dfrac{22}{5}

Step-by-step explanation:

|3k - 2| = 2|k + 12|

\dfrac{|3k - 2|}{|k + 12|} = 2

|\dfrac{3k - 2}{k + 12}| = 2

3k - 2 = 2(k + 12)   or   3k - 2 = -2(k + 12)

3k - 2 = 2k + 24   or   3k - 2 = -2k - 24

k = 26   or   5k = -22

k = 26   or   k = -\dfrac{22}{5}

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What is the area of the figure below?
Scorpion4ik [409]

Answer:

rectangle: 30 in^2

triangle:  12 in^2

composite: 42 in^2

Step-by-step explanation:

area of a rectangle: length times width

area of a triangle: \frac{AB}{2}

composite area: break the area up by shapes you can find the area of, then add it back together

3 0
3 years ago
Someone pls help me ill give out brainliest pls don’t answer if you don’t know
Alex_Xolod [135]

Answer:

Rectangle shaped cross section is formed by intersection of plane and prism.

Step-by-step explanation:

Given: A rectangular Prism.

To find: Shape of Cross Section when a plane intersect the prism diagonally

A plane intersect the Rectangular prism .i.e, Cuboid diagonally which means plane passes from top edge of cuboid to edge on bottom on opposite side.

Figure is attached.

In this way we get a Rectangular shaped Cross section which includes edges of cuboid and diagonals of the side faces.

Therefore, Rectangle shaped cross section is formed by intersection of plane and prism.

6 0
3 years ago
Britany has a bag with 2 mint sticks, 4 jelly treats, and 14 fruit tart chews. If she eats one piece every 9 minutes, what is th
zheka24 [161]
That "9 minutes" doesn't affect the outcome!

How many pieces of candy are in the bag at the beginning?  How many of those are "fruit tart chews?"  Write a fraction involving these 2 counts.  Remember that Britany immediately eats what she draws from the bag, so the 2nd time around, there are only 19 pieces, not 20.  What is the prob. that she will pick a jelly treat on her second draw?
Because these experiments are independent, you can find the joint probability by multiplying the 2 probabilities together.  Please show your work.
3 0
3 years ago
Twelve toy turtles run a race. Each turtle is numbered from 1 to 13. A turtle can move forward one step whenever their number is
Fofino [41]

The turtle that would most likely win the race is the turtle 7

<h3>How to determine the turtle with the most chance?</h3>

The turtles are given as:

Turtle = 1 to 13

When two dice are rolled and the sum of the outcomes are taken, the sample space is:

<u>Outcome   Frequency</u>

2                    1

3                    2

4                    3

5                   4

6                   5

7                    6

8                    5

9                    4

10                   3

11                    2

12                    1

The outcome 7 has the highest frequency of 6

This means that the turtle 7 has the highest chance of winning the race

Read more about probability at:

brainly.com/question/25870256

#SPJ1

4 0
2 years ago
A water balloon is catapulted into the air so that it's height, in meters, after t seconds is h = -4.9t^ +27t +2.4
zysi [14]
h = -4..9t^2+27t+2.4\ for\ t=3

Just replace t with 3 and solve.

h = -4.9*3^2 + 27*3 + 2.4 \\ h = -4.9*9 + 27*3 + 2.4 \\ h=-44.1 + 81 + 2.4 \\ \boxed{h=39.3}
6 0
4 years ago
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