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aliya0001 [1]
4 years ago
11

jay thinks that the inequality k< 3 implies the inequality k squared < 9 but val thinks otherwise. Who is right and why

Mathematics
1 answer:
telo118 [61]4 years ago
7 0

Answer:

  Val is right

Step-by-step explanation:

One of the solutions to k < 3 is k = -4. When you square that, you get ...

  k² = (-4)² = 16

which is not less than 9.

_____

k < 3 and k² < 9 will have the same solution set for |k| < 3, but their solution sets will differ for k ≤ -3.

When performing operations on inequalities, one needs to be aware of the order preserving/changing effects of the operation. Whether squaring a value preserves order or not depends on the relative magnitudes:

  • 2 > 1; 2² > 1²
  • -1 < 1; (-1)² = 1²
  • -2 < 1; (-2)² > 1²
  • -2 < -1; (-2)² > (-1)²
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Can somebody just give me the answer plz and if you know how to do geometry drop your insta along with the answer pleaseee
SSSSS [86.1K]

Answer:

x = 40

Step-by-step explanation:

3x + (x+20) = 180

8 0
3 years ago
Read 2 more answers
What is the answer to this?
amm1812

Answer:

<h2>40.1 cm</h2>

solution,

BC=8.4 cm

AB=12 cm

BD=4.1 cm

We have to find out: AC ,CD

using Pythagoras theorem:

In ∆ABC ,<B=90°

{(ac)}^{2}  =  {(ab)}^{2}  +  {(bc)}^{2} \\  {(ac)}^{2}   =  {(12)}^{2}  +  {(8.4)}^{2}  \\  {(ac)}^{2}  = 144 + 70.56 \\  {(ac)}^{2}  = 214.56 \\ ac =  \sqrt{214.56}  \\ ac = 14.64 \: cm

Similarly,

In ∆BCD, CB=90

cd =   \sqrt{ {(8.4)}^{2} +  {(4.1)}^{2}  }

=  \sqrt{70.56 + 16.81}  \\  =  \sqrt{87.37}  \\  = 9.34 \: cm

Perimeter:

AC+CD+AD

=14.64+9.34+(12+4.1)

=40.08

= 40.1 cm

Hope this helps...

Good luck on your assignment..

7 0
3 years ago
A circle has a circumference of 6. It has an arc of length
stiv31 [10]

Answer:

The circumference formula for a circle is C=πd where C is the circumference, d is the diameter of the circle and π is a constant. If you plug in 6 for C and solve the equation for d like:

6= πd and then divide both sides of the equation by π you get that d = 1.90

To find the central angle of an arc you would use the equation S = rθ where S is the length of the arc, r is the radius of the circle, and θ is the measure of the angle which in this case is unknown. So with S = 1 and r = d/2 = 1.90/2 = 0.9549 you would have an equation that looks like this:

1 = 0.9549θ.

If you divide both sides of the equation by 0.9549 you get θ = 1.047197 radians.

The question asked for the angle measure in degrees so you would need to convert the angle measure to degrees by multiplying the degree measurement by 180/π

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3 years ago
What is the solution to y=0.7x for the replacement set x=[2]?
professor190 [17]
If x equals the absolute value of 2, and 2 is already in absolute value... Then Y would equal 0.7(2)=1.4

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3 years ago
F(x)= |3x-4|+2, find f(-10)
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