a) (x + y, x - y) = (4, 2)
please answer this question. Pleaseeee​

Answer:

2.1 s

Step-by-step explanation:

1. Write the equation

The formula for vertical displacement is

y =  h + v₀t - ½gt²

h = 50     ft

v₀ = 10     ft/s

g = 32.2 ft/s²

Insert the values

y = 50 + 10t - ½ × 32.2t²

y = 50 + 10t - 16.1t²

The graph below shows the height as a function of time.

2. Solve the equation

a = -16.1; b = 10; c = 50

[tex]\begin{array}{rcl}x & = & \dfrac{-b\pm\sqrt{b^2 - 4ac}}{2a}\\\\& = & \dfrac{-10\pm\sqrt{10^2-4(-16.1) \times 50}}{2(-16.1)}\\\\& = & \dfrac{-10\pm\sqrt{100 - (-3220)}}{-32.2}\\\\& = & \dfrac{-10\pm\sqrt{100 + 3220}}{-32.2}\\\\& = & \dfrac{-10\pm\sqrt{3300}}{-32.2}\\\\& = & \dfrac{-10\pm 57.62}{-32.2}\\\\\end{array}[/tex]

[tex]\begin{array}{rcl}x = \dfrac{-10 + 57.62}{-32.2}& \qquad & x = \dfrac{-10 -57.62}{-32.2}\\\\x = \dfrac{47.62}{-32.2}& \qquad & x = \dfrac{-67.62}{-32.2}\\\\x = -1.479& \qquad & x =\textbf{ 2.1 s}\\\\\end{array}\\\text{It takes the stunt double $\large \boxed{\textbf{2.1 s}}$ to reach the ground.}[/tex]

g = 9y

this is true because khan academy

The missing factor of the given equation is 9y.

The factors of the expressions are the simplified expression which when multiplied results in the original expression.

Divide 18y³ by 2y² to determine the missing factor.

G=18y³/2y²

Express the numerator and denominator in the factored form and simplify.

G=(2·3·3·y·y·y)/(2·y·y)

G=3·3·y

G=9y

So, the missing factor of the given equation is 9y.

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Answer:

Angle y measures 130 degrees

Step-by-step explanation:

Notice that the angles marked as "2x+18", and "4x-14" must be equal angles since they are generated on the same sector (top right) of the parallel lines by the transverse line "b".

Then by finding the value of "x" we can deduce the value of the actual angle these two angles measure:

[tex]2x+18=4x-14\\18+14=4x-2x\\32=2x\\x=16^o[/tex]

Now, we can find the actual value of these two angles, we use for example the first expression:

Top-right angle = [tex]2\,(16^o)+18^o=50^o[/tex]

Now, if these two angles measure [tex]50^o[/tex], then angle "y" (which is the supplementary angle (angle which added renders [tex]180^o[/tex] )  for them, must equal [tex]180^o-50^o=130^o[/tex]

Answer:

It's C. 130

Step-by-step explanation:

O just did the math and got it right on the test.

Answer:

-3/2

Step-by-step explanation:

pick any 2 points on the graph. I chose (80,10) and (60, 40) because they are easy to identify.

40- 10 = 30

60-80 = -20

slope = -30/20 or -3.2

Answer:

None

Step-by-step explanation:

In this case we must pass everything to the same unit of measure, we know that the total is 5 liters of soft drink and that each plastic cup has a capacity of 250 cubic meters.

We know that 1 liter is equivalent to 0.001 cubic meters, therefore we will pass the cubic meters of the plastic cup to liters, like this:

250 m ^ 3 * 1 L / 0.001 m ^ 3 = 250,000 L

Therefore we realize that the glass has a very large capacity, which suggests that there is an error in the statement, maybe it is not a cubic meter but a cubic centimeter, but as it is, it cannot serve any plastic cup because the capacity of this cup is very large with respect to the total amount of soft drink.

Answer: 3.5

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Answer:

A ≈ 21.16m²

Step-by-step explanation:

Answer:

21.16 m^2

Step-by-step explanation:

If the perimeter is 18.4 m, then the length of a side is 18.4 m / 4, or 4.6 m.

Then the area of the square is (4.6 m)^2, or 21.16 m^2

Answer:

(4, -4)

Step-by-step explanation:

Since the point (4, -4) rests on the line y=-x, it does not change positions and stays in the same spot.

The answer is 10√2

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

4/1000

Step-by-step explanation:

the value of 4 is 0.004 which in fraction form is 4/1000

Answer:

The answer would be 116

Step-by-step explanation:

The angles X and Z would be equal at 32 so multiply them by 2 and you would get 64 subtract 64 from 180 and you would get 116

Answer:

Y =116

Step-by-step explanation:

We know that angle Z = angle X since they are base angles  and  the sides are the same length

The sum of the angles of a triangle are 180

X+Y+Z = 180

32+ Y + 32 = 180

64+Y=180

Y = 180-64

Y =116

Answer:

S: 1st quadrant

K:2nd quadrant

W:3rd quadrant

C: y-axis

Step-by-step explanation:

Answer:

8+92=100

Step-by-step explanation:

You can get that by subtracting 8 from 100 :)

Answer:

if the number ur adding it to is 991 and u add 8 you will get 1,000

Step-by-step explanation:

Answer:

-42.86%

Step-by-step explanation:

Mathematically, the percentage change is;

(new value -old value)/old value * 100%

According to this question

new value = 63

old value = 90

Inputing these values we have ;

(63-90)/63 * 100

-27/63 * 100%

= -3/7 * 100% = -42.86 #

Answer:

38.25 square inches

Step-by-step explanation:

Length = 9 inches

width = 4.5 inches

Area of Rectangle = Length × width

Area of Rectangle = 9 × 4.5 = 38.25

The airplane's path is an illustration of right-triangles

Represent the angle of descent with [tex]\theta[/tex]

The angle of descent, [tex]\theta[/tex] is then calculated using the following tangent identity

[tex]\tan(\theta) = \frac{35000\ feet}{150 \ miles}[/tex]

Convert feet to miles

[tex]\tan(\theta) = \frac{6.6287879\ miles }{150 \ miles}[/tex]

Divide

[tex]\tan(\theta) = 0.0442[/tex]

Take the arc tan of both sides

[tex]\theta = \tan^{-1}(0.0442)[/tex]

Evaluate the arc tan

[tex]\theta = 2.5[/tex]

Hence, the angle of descent is 2.5 degrees

Represent the plane's path with p

The plane's path is calculated using the following Pythagoras theorem

[tex]p^2 = (150\ miles)^2 + (35000\ feet)^2[/tex]

Convert feet to miles

[tex]p^2 = (150\ miles)^2 + (6.6287879\ miles)^2[/tex]

Evaluate

[tex]p^2 = 22543.940829[/tex]

Take the square roots

[tex]p = 150.15[/tex]

Hence, the plane's path is 150.15 miles

Read more about right-triangles at:

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Answer:

m= 4

Step-by-step explanation:

3m +2n= 16 -----(1)

m -2n= 0 -----(2)

From (2):

m= 2n -----(3) (+2n on both sides)

subst. (3) into (1):

3(2n) +2n= 16

6n +2n= 16

8n= 16 (simplify)

n= 16 ÷8

n= 2

subst. n=2 into (3):

m= 2(2)

m= 4

Answer:

y = -22/5

Step-by-step explanation:

-3+7y=5x+2y

Subtract 2y from each side

-3+7y-2y=5x+2y-2y

-3 +5y = 5x

Add 5 to each side

5y = 5x+3

Divide each side by 5

y = 5x/5 +3/5

y = x +3/5

Let x = -5

y = -5 + 3/5

y = -25/5 +3/5

y = -22/5

Answer:

[tex]y=-\frac{22}{5}[/tex]

Step-by-step explanation:

[tex]-3+7y=5x+2y\\x=-5[/tex]

Replace:

[tex]-3+7y=5(-5)+2y\\-3+7y=-25+2y[/tex]

Subtract -2y

[tex]-3+7y-2y=-25[/tex]

Add 3

[tex]7y-2y=-25+3[/tex]

Combine like terms;

[tex]5y=-22[/tex]

Divide by 5.

[tex]y=-\frac{22}{5}[/tex]

Proof

[tex]For x=-5, y=-\frac{22}{5}[/tex]

[tex]-3+7y=5x+2y[/tex]

[tex]-3+7(-\frac{22}{5} )=5(-5)+2(-\frac{22}{5} )[/tex]

[tex]-3-\frac{154}{5}=-25-\frac{44}{5}[/tex]

To make it easier to solve, add 154/5

[tex]-3=-25-\frac{44}{5}+\frac{154}{5}[/tex]

Now add 25

[tex]-3+25=-\frac{44}{5}+\frac{154}{5}[/tex]

Combine like terms;

[tex]22=\frac{110}{5} \\22=22[/tex]

Answer: The rate of change is 5.

Step-by-step explanation:

Our equation is:

f(x) = x^2 + 4x + 5

And we want to find the rate of change in the range −1≤ x ≤2

when we want to find the rate between x1 ≤ x ≤ x2

we have:

Rate = (f(x2) - f(x1))/(x2 - x1)

So we have:

Rate = ( f(2) - f(-1))/(2 - 1)

Rate = (2^2 + 4*2 + 5 - (-1)^2 - 4*(-1) - 5)/3 = 15/3 = 5

The rate of change is 5.

Answer:

Debit Salaries Expense $480 and credit Salaries Payable $480

Step-by-step explanation:

Firstly, we will need to calculate the salary expense of the company on these two employees.

Mathematically, that would be

2 employees * 2 days * 120/employee/day = 2 * 2 * 120 = $480

Thus, the month-end adjusting entry to record the salaries earned but unpaid is that salaries expense will be debited $480 and salaries payable will be credited $480

Answer:

Step-by-step explanation:

1, sec theta  * sin theta = 1/cos * sin = sin/cos =tan theta

2. cosec theta * cos theta = 1/ sin * cos = cos/sin = cot theta

3, tan theta * cosec theta =sin/cos * 1/sin = 1/cos

4, cot theta * sec theta = cos /sin * 1/cos= 1/sin

5, 1 - cos^2 theta = sin ^2 theta

6, sec^2 theta - 1 =tan ^2 theta

7 , cosec^2 theta - cot^2 theta = 1

8, 1 - sin^2 theta = cos^2

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Answer:

hypotenuse= 2[tex]\sqrt{5}[/tex]

Step-by-step explanation:

the triangle is equal tow side so it is two side =5 cm

then the hypotenuse by Phitagors theory the triangle hypotenuse =

[tex]\sqrt{5^{2} +5^{2} }[/tex] = 2[tex]\sqrt{5}[/tex]

Answer:

15 out of 100

Step-by-step explanation:

15 %= 15/100  it means 15 out of 100

Answer:

[tex]2a^2\sqrt{35a}[/tex]

Step-by-step explanation:

[tex]\sqrt{2a} .\sqrt{14a^3} .\sqrt{5a} \\=\sqrt{2a\times 14a^3\times 5a}\\=\sqrt{140a^5}\\=2a^2\sqrt{35a}\\[/tex]

Answer:

1. integers

2. rational no.

Answer:

surface area of cylinder= 2πrh + 2πr²

2×22/7×1×8+2×22/7×1×1

352. + 44

7. 7

= 50.3 + 6.25

= 56.55cm²

Answer:

y = -1/3x - 11/3

Step-by-step explanation:

line a: y = -1/3x - 5

3 = -1/3(2) - b

3 = -2/3 - b

3 + 2/3 = b

3/1 + 2/3 = b

9/3 + 2/3 = b

11/3 = b