Which of the following is a solution to the inequality below?

Answer:

Step-by-step explanation:

Use the formula of distance between the two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex],

Distance = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

1. Distance between A(3, 4) and B(8, 12),

  AB = [tex]\sqrt{(8-3)^2+(12-4)^2}[/tex]

  AB = [tex]\sqrt{25+64}[/tex]

        = [tex]\sqrt{89}[/tex]

        ≈ 9.43

2. Distance between C(-2, 10) and D(3, -2),

   CD = [tex]\sqrt{(3+2)^2+(-2-10)^2}[/tex]

         = [tex]\sqrt{25+144}[/tex]

         = [tex]\sqrt{169}[/tex]

         = 13.00

3. Distance between X(20, 4) and Y(17, 0),

    XY = [tex]\sqrt{(20-17)^2+(4-0)^2}[/tex]

          = [tex]\sqrt{3^2+4^2}[/tex]

          = [tex]\sqrt{25}[/tex]

          = 5.00

4. Distance between E(2, -1) and M(6, 9),

    EM = [tex]\sqrt{(2-6)^2+(-1-9)^2}[/tex]

          = [tex]\sqrt{16+100}[/tex]

          = [tex]\sqrt{116}[/tex]

          = 10.77

Answer:67.6

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

f(x)= -2(x²+8x+16)-5

[tex] -2 {x}^{2} - 16x - 32 - 5 \\ f(x)= - 2 {x}^{2} - 16x - 37[/tex]

Answer:

21 m

Step-by-step explanation:

1:2.5 = 8.4: x

8.4*2.5 = 21

Answer:

Lateral surface area means curved surface area

Total surface area means curved surface area + surface area of the bottom and top.

So i think its false

Step-by-step explanation:

Answer:

393

Step-by-step explanation:

(32)(12) + 9

This comes out to 384 + 9 = 393

Answer:

y = [tex]-\frac{7}{5} x - \frac{2}{5}[/tex]

Step-by-step explanation:

5y + 7x = -2

5y = -7x - 2

y = -(7x)/5 - 2/5 = [tex]-\frac{7}{5} x - \frac{2}{5}[/tex]

Answer:

1.2

Step-by-step explanation:

3. 0.3+0.2+0.1

Multiply 3 and 0.3 to get 0.9

0.9+0.2+0.1

Add 0.9 and 0.2 to get 1.1

1.1+0.1

Add 1.1 and 0.1 to get 1.2

1.2

Answer:

2

Step-by-step explanation:

rise/run 4/2

Answer:

f

Step-by-step explanation:

because it's less than mine not less nine

Answer:

the answer for the first is 22°

the answer for the second is 83°

Answer:

Step-by-step explanation:

1.

The sum of all the interior angles of a triangle is equal to 180°. So, 90°+29°+(39°+x) = 180°.

2.

For the triangle on the right, the measure of 1 angle is not given. To find that out, make use of the angle in 112°: 180°-112° = 68°.

Then, we are able to find x by angle sum of triangles.

68°+29°+x = 180°.

Answer:

59%

Step-by-step explanation:

37 over 60 besides a 1 over 100

37        1

     =

63       100

cross multiply

37(100)=63(1)

3700=63

3700 divided by 63 = 58.7301..... which you can round up to 59%

Answer:

i need points lol

Step-by-step explanation:

sorryyyyy

Answer:

x = ± [tex]\sqrt{\frac{y}{a} }[/tex]

Step-by-step explanation:

Given

y = ax² ( divide both sides by a to isolate x² )

[tex]\frac{y}{a}[/tex] = x² ( take the square root of both sides )

x = ± [tex]\sqrt{\frac{y}{a} }[/tex]

Answer:

B) -7°c

Step-by-step explanation:

Answer:

6 runners

Step-by-step explanation:

Complete question

A relay race covers 1 1/2 kilometers, and each runner on a team will run 1/4 of a kilometer.  How many runners are needed for a team?

Given that;

1 runner = 1/4 km

If a relay race covers  1 1/2 km, hence;

x runner = 1 1/2 km

Divide both expressions

1/x = (1/4)÷(1 1/2)

1/x = 1/4 ÷ 3/2

1/x = 1/4 * 2/3

1/x = 2/12

Cross multiply

2x = 12

x = 12/2

x = 6

Hence 6 runners are needed for the race

Answer:

4 is the diameter

Step-by-step explanation:

Given:

C = 4π

Formula for circumference:

C = 2πr

Work:

C = 2πr

4π = 2πr

r = (4π)/(2π)

r = 2

Diameter:

d = 2r

d = 2(2)

d = 4

Step-by-step explanation:

formula for the first question:

a^2+b^2=c^2

8^2+6^2= 100

√100 = 10cm

Answer:

the answer is 1 5/12

Answer:

g(x) is shifted left by two units

Answer:

y = 42x + 2

Step-by-step explanation:

The equation of a line is expressed as y = mx+b

Slope = y2-y1/x2-x1

Slope = 128 - 2/3-0

Slope m = 126/3

Slope = 42

Since the y intercept is (0, 2), hence b = 2

Get the equation;

Recall that y = mx+b

y = 42x + 2

This gives the required equation

Answer:

answer: 75

Hope that helps you!

Answer:

$25.00

Step-by-step explanation:

well start of by using the rules of 3.

( always remeber that multiply is diagonal and divide left by one on the left)

Answer:

Step-by-step explanation:

?????????/

Answer:

theanswer is D.72

Step-by-step explanation:

this.is because she blocked 36 balls in the first 4 games

As per the given data, it can predict that after 8 games the number of blocks would be 72 balls. Option c is correct.

Given that,
Based on these results, which is the most reasonable balls she will have blocked after 8 games is to be determined.

The average of the values is the ratio of the total sum of values to the number of values.

Here,
Average balls blocked in 4 games = 8 + 12 + 9 + 7 / 4 = 36 / 4
                                                          = 9
For the 8 games the number of ball blocked would be  = 8 × 9 = 72

Thus, as per the given data, it can predict that after 8 games the number of ball blocks would be 72 balls. Option c is correct.

Learn more about averages here:

brainly.com/question/24057012

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Answer:

y = -1/2x + 8

Step-by-step explanation:

y = -1/2x + b

6 = -1/2(4) + b

6 = -2 + b

8 = b

Answer:

[tex]first \: answer \: is \: true[/tex]

Step-by-step explanation:

$182.50-$1.50=$181.00. Answer??

Answer:

4%

Step-by-step explanation:

Volume of sphere

v = (4/3)πr^3

Volume moon/ volume planet

We don't actually need the numeric value of the radius

just the 35% ratio

Radius of moon = .35 radius of planet

Vm/ Vp = (4/3)π(.35r)^3 / (4/3)π(r)^3

Cancel like terms

Vm / Vp = .35^3

Vm / Vp = 0.042875

Expressed as a percentage

Vm / Vp = 4.2875%

Rounded

Vm / Vp = 4%

Answer: A= 51.3 B= 18.2 C=110.5

Step-by-step explanation:

The missing elements in the triangle are A ≈ 3.992°, B ≈ 170.008°, and c ≈ 5.4 units

To find the missing angle 'A', we can use the law of cosines, which states that for any triangle with sides 'a', 'b', and 'c' and opposite angles 'A', 'B', and 'C', the following relationship holds:

c² = a² + b² - 2ab * cos(C)

Plugging in the known values, we get:

c² = 5² + 2² - 2 * 5 * 2 * cos(6)

Now, we can solve for 'c':

c² = 29 - 20 * cos(6)

c² ≈ 28.8178

c ≈ √28.8178

c ≈ 5.4 (rounded to the nearest tenth)

Now that we have the value of side 'c', we can find angle 'A' using the law of sines, which states that for any triangle:

sin(A) / a = sin(C) / c

Plugging in the known values:

sin(A) / 5 = sin(6) / 5.4

Now, solve for 'sin(A)':

sin(A) = 5 * sin(6) / 5.4 sin(A) ≈ 0.0698

Now, find the value of angle 'A' using the inverse sine (sin⁻¹) function:

A ≈ sin⁻¹(0.0698)

A ≈ 3.992° (rounded to the nearest tenth)

Finally, to find angle 'B', we can use the fact that the sum of angles in any triangle is 180 degrees:

B = 180 - A - C

B = 180 - 3.992 - 6

B ≈ 170.008° (rounded to the nearest tenth)

To know more about triangle here

https://brainly.com/question/8587906

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Answer:

[tex]Pr = \frac{1}{870}[/tex]

Step-by-step explanation:

Given

[tex]n =30[/tex]

Required

Probability of selecting 2 toys of different types

From the question, we understand that all toys are different i.e. 1 of each type.

And the selection is without replacement;

So, after the first toy is selected; there are n - 1 toys left.

So, the probability is:

[tex]Pr = \frac{1}{n} * \frac{1}{n - 1}[/tex]

Substitute [tex]n =30[/tex]

[tex]Pr = \frac{1}{30} * \frac{1}{30- 1}[/tex]

[tex]Pr = \frac{1}{30} * \frac{1}{29}[/tex]

[tex]Pr = \frac{1}{30*29}[/tex]

[tex]Pr = \frac{1}{870}[/tex]