6% - 18 = 4(2x - 3) - (2x + 6)

Solving the quadratic equation, it is found that it took 2.5 seconds for the ball to hit the ground.

It is given by:

h(t) = -8t² + 18t + 5.

It hits the ground when h(t) = 0, hence:

-8t² + 18t + 5 = 0.

Which has coefficients a = -8, b = 18, c = 5, then:

[tex]\Delta = 18^2 - 4(-8)(5) = 484[/tex]

[tex]x_1 = \frac{-18 + \sqrt{484}}{2(-8)} = -0.25[/tex]

[tex]x_2 = \frac{-18 - \sqrt{484}}{2(-8)} = 2.5[/tex]

It took 2.5 seconds for the ball to hit the ground.

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Answer:

2

General Formulas and Concepts:

Step-by-step explanation:

Step 1: Define expression

(2x - 2) - (2x - 4)

Step 2: Simplify

Answer:

4.3 x 10^-9

Step-by-step explanation:

Convert to base 10 and move decimal 9 to right

Answer:

1/3(x+y-5)=y-z=2x- 11=9-(x+2z)

Step-by-step explanation:

1/3(x+y-5)=y-z=2x-11=9-(x-2z)

We know, distance between two points A( p,q) and B(r,s) is given by :

[tex]AB=\sqrt{(p-r)^2+(q-s)^2}[/tex]

So, distance between P an Q is :

[tex]PQ=\sqrt{(-7-4)^2+(6-6)^2}\\\\PQ=11\ units[/tex]

Distance between Q and R is :

[tex]QR=\sqrt{(4-4)^2+(6-(-6))^2}\\\\QR=12\ units[/tex]

Distance between R and S is :

[tex]RS=\sqrt{(4-6)^2+(-6-(-6))^2}\\\\RS=\sqrt{4}\\\\RS = 2\ units[/tex]

Therefore, total distance is 11 + 12 + 2 = 25 units.

Hence, this is the required solution.

Answer:

m∠ABD = 126°

Step-by-step explanation:

if both angles make a linear pair then their sum equals to 180°

you can solve for x

m∠ABD + m∠CBD = 180

6x-12 + x+31= 180

7x + 19 = 180

7x = 161

x=23; now solve for

m∠ABD = 6x - 12 = 6(23) - 12 = 126°

The required measure of m ABD is 23.

In geometry, a linear pair of angles is a pair of adjacent angles formed when two lines intersect each other.

Now it is given that,

m ABD = 6x - 12 and m CBD = x + 31

Since, ABD and CBD form a linear pair

m ABD + m CBD = 180°

6x - 12 + x + 31 = 180°

7x + 19 = 180°

⇒ 7x = 180° - 19

⇒ 7x = 161

⇒ x = 161/7

⇒ x = 23

Thus, the required measure of m ABD is 23.

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Answer:

-42

Step-by-step explanation:

t^2^=-9

4x-9=-36

-36-6=-42

Answer:

30

Step-by-step explanation:

4(-3)^2-6

4(9)-6

36-6

30

Answer:

1.50x=18

x=12

Step-by-step explanation:

You have to divide 1.50 on both sides and 1.50x/1.50= x and 18/1.50=12 so x=12

Answer:

18dividedby1.50=x

x=12

Step-by-step explanation:

Answer:

It is graph C

Step-by-step explanation:

Answer: Graph C

Step-by-step explanation: On Edge

Percentage of part time employees = (part-time employees/total employees) * 100 = (6/60) * 100 = 1/10 * 100 = 10%

Yes it's a linear function

Answer:

Yes since x only equals y, which is one solution.

Step-by-step explanation:

Answer:

the slope is zero

Step-by-step explanation:

Answer:

I think that: slope (m) = 0

Step-by-step explanation:

the equation of slope is m = y2-y1/x2-x1

so, y2 = -4, y1 = -4, and x2=-12, and x1= -6

Just substitute them into the equation:

m = -4 - -4 / -12- -16

m = 0

The slope is equal to 0

I hope this helps!

Answer:

The top one on the left

Step-by-step explanation:

Answer:

1.slope = 4/2x  2.slope= -5/4x  3.slope=7/5x

Step-by-step explanation:

Have a great night

Answer:

the answer would be

Step-by-step explanation:

i hope this helped

If you add all four together, you get a %400 increase

Answer:

minimum

Step-by-step explanation:

it has a minimum value because it is positive so the graph will show a U shape

Answer: pretty sure its A

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Anything times 0 or divided by 0 is 0

Answer:

15

Step-by-step explanation:

y=21 x 5 = 105

x=3 x 5 = 15

130-49 = 81

Answer 81/130

The probability that the bag has buttons is 0.38.

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favorable outcomes/Total number of outcomes.

Given that, a company makes 130 bags.

Here, the number of favorable outcomes = 49 and the total number of outcomes =130

Now, probability of an event = 49/130

= 0.38

Therefore, the probability that the bag has buttons is 0.38.

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Answer:

x = 3.4

Step-by-step explanation:

recall that for a right angle with an internal angle θ,

cos θ = adjacent length / hypotenuse

in our case,

θ = 55 deg

adjacent length = x units

hypotenuse = 6 units

substitute these into the formula above

cos θ = adjacent length / hypotenuse

cos 55 = x / 6    (multiply both sides by 6)

x = 6 cos 55 (use calculator)

x = 3.4415

x = 3.4  (rounded to nearest tenth)

Answer:

company 1 final price: $148.5

company 2 final price: $168

company 3 final price: $132

thus, the best choice is company 3 because it costs the least and all services are the same

Step-by-step explanation:

company 1 is offering 25% off the price of their service

company 2 is offering $30 off the price of their service

company 3 is offering a 1/3 discount off the price of their service

the price of the cleaning is $198

company 1: 25% discount = 75% of the original price $198, which would be $198 * 3/4, or $148.5

company 2: $30 dollars off, which means $198 - $30 or $168

company 3: 1/3rd discount, meaning the product after the discount is only 2/3rd of the original price. 2/3rd of $198 is $132, so the final price after the discount is $132

Answer:

17×15=255

Step-by-step explanation:

you do base times height

Answer:

<1 and <8 are alternate exterior angles

<4 and <6 and same said interior angles

<3 and <6 are alternate interior angles

Step-by-step explanation:

The correct options are 1) ∠ 1 and ∠ 8 are alternate exterior angles, 2) ∠ 4 and ∠ 6 are same side interior angles, 4) ∠ 2 and ∠ 8 are corresponding angles and 5) ∠ 3 and ∠ 6 are alternate interior angles, this is true.

The amount of space between two straight lines that have a common end point is called angle. Two angles can be related if certain conditions are met.

Given that, lines m and n are intersected by a transversal l, making angles 1, 2, 3, 4, 5, 6, 7 and 8

∠ 1 and ∠ 8 are alternate exterior angles, this is true.

∠ 4 and ∠ 6 are same side interior angles, this is true.

∠ 5 and ∠ 7 are vertical angles, no this is not true because these are making a linear pair angles.

∠ 2 and ∠ 8 are corresponding angles, this is true.

∠ 3 and ∠ 6 are alternate interior angles, this is true.

Hence, the correct options are 1, 2, 4, and 5

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Answer:

Step-by-step explanation:

Here, we want to write the equations in the form of matrix

To do this we simply make sure that the coefficients of any given variable are on the same side of the matrix to first form a 2 by 2 matrix

Then we proceed to use the variables to form a 1 by 1 matrix by side and then finally the results forming another 1 by 1 matrix by the side

Please check attachment for complete representation