what is the solution set for the equation 2x^2-8x-42=0

look at png sorry i need to type 20 characters but the chart explains everything

simplify your answer but adding/subtracting like terms

Answer:

We note that the equation that is compatible with the given equation is the kinematic equation of free fall where;

t² = 39.2 × 2/9.81

From which we have;

The time it takes the snowball to reach the ground is approximately 2.83 seconds

Step-by-step explanation:

The height of the building from which the ball is dropped, h = 39.2 m

The equation of the dropped a snowball, is given as follows;

t² = 39.2 × 9.8

Using the From the equation of free fall, we have;

s = u·t + 1/2·g·t²

Where;

u = The initial velocity = 0 m/s

t = The time of flight

g = The acceleration due to gravity = 9.81 m/s²

Therefore, we get;

∴ s = The height from which the snowball is dropped = 39.2 m

Therefore, we get;

39.2 = 0×t + 1/2×9.81×t²

∴ t² = 39.2 × 2/9.81  ≈ 7.99

t = √(7.99) ≈ 2.83

The time it takes the snowball to reach the ground, t ≈ 2.83 s.

Answer:

2 seconds

Explanation:

I had to do this assignment that's the correct answer

Answer:

13°

Step-by-step explanation:

The reason is because the sum of all the angles in a triangle add up to 180°, so to find the last angle you add 81°+86°=167°

Subtract: 180°-167°=13°

Hope this helped!

Stay safe and have a wonderful day/night!

Your friend Bella was here :)

Answer:

Q'R'

Step-by-step explanation:

Given

Quadrilateral PQRS

Reflected over x-axis

Required

Congruent side to QR

This question has a missing attachment, but can still be solved without the attachment.

When a shape is reflected, the sides and the angles of the shape remain unchanged.

This means that when PQRS is reflected to give P'Q'R'S, the following sides will be congruent.

[tex]PQ = P'Q'[/tex]

[tex]QR = Q'R'[/tex]

[tex]RS = R'S'[/tex]

[tex]SP = S'P'[/tex]

Hence, QR will be congruent to Q'R'

Answer:

Selling price : $52

Step-by-step explanation:

First, find 30% out of 40.

x= (40)(30)=1200/ 100= 12

x=12

Add 30% to the original selling price.

So then you add $12 to $40 to get $52.

Answer:

A

Step-by-step explanation:

Slope-intercept form: y=mx+b

2x+3y = 12

3y = 12-2x

y = (12-2x)/3

y = 4-2/3x

Here we can see that the slope is -2/3 and y-intercept 4. We already got the answer so we dont need to try the other options.

Answer: [(3/4)π] in² or (0.75π) in²

Step-by-step explanation:

Here, we are asked to find the area of a sector. So we are going to use the formula: A=πr²(θ/360)

--------------------------------------------------------------

Given

r=3 in

θ=30°

Solve

A=πr²(θ/360)

A=π(3)²(30/360)

A=9π(1/12)

A=[(3/4)π] in²

A=(0.75π) in²

Hope this helps!! :)

Please let me know if you have any questions

Answer is option B.

[tex] \frac{ - 1}{ 25 } [/tex]

Explanation:

5 to the power -2 can be written as

[tex] {( {5}^{2})}^{ - 1} [/tex]

which will be

[tex] {25}^{ - 1} [/tex]

which will be

[tex] \frac{ - 1}{ 25 } [/tex]

Answer: m is the slope and b is the y-intercept.

Step-by-step explanation:

it is understandable that the x has a coefficient of 1, so the m is 1 . and the y-intercept( b ) is −4 .

Answer:

y = 2x + 7

Step-by-step explanation:

ALgebra is my best subject! Have a good day!

Answer:

The answer selected is correct

Step-by-step explanation:

Answer:

c) similar by the AA rule

Answer:

0.54

Step-by-step explanation:

An integer is a WHOLE number without any fractional parts. Integers can be negative as long as it's a whole number.

Answer:

25

Step-by-step explanation:

you might wanna use a calculator

Answer:

A boy can write one page in one minute

Answer:

5 minutesethhgdsyujjj

Answer: 1080

Step-by-step explanation:

Heres why:

SA is L*W*H as the same formula as volume.

Answer:

correct

Step-by-step explanation:

Angle-Side-Angle (ASA) Postulate:

If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

<C = <G

CA = GD

<A = <D

Triangle CAT = Triangle GDO are the two triangles that are congruent by the ASA Postulate.

the answer to the question is 0.1

Answer:

1/10 or 0.1

Step-by-step explanation:

You first rewrite the problem as 2/5÷4/1. Then you flip the second fraction for multiplication: 2/5*1/4. Now you multiply both numerators and denominators to get a final total of 2/20 which equals 1/10 or 0.1.

Answer:

Total Money= $250

Fence Price=$22.50/m

Metres can buy= $250/22.50= 11.11 metres

Answer:

option A

Step-by-step explanation:

(X - 2) is the answer

hope it helps

Answer:

[tex]a_{n}[/tex] = 3n + 77

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 80 and d = a₂ - a₁ = 83 - 80 = 3 , then

[tex]a_{n}[/tex] = 80 + 3(n - 1) = 80 + 3n - 3 = 3n + 77

Answer: Formula: ½ x base x height or ½ b x h or ½ bh The base is measured by length The height is measured by length The height and the base must form a 900 angle. 900 angle is a right angle.

Step-by-step explanation:

Answer:

x = 9

Step-by-step explanation:

By the property of intersecting secants:

[tex]4(x - 3 + 4) = 5(x - 6 + 5) \\ \\ 4(x + 1) = 5(x - 1) \\ \\ 4x + 4 = 5x - 5 \\ \\ 4x - 5x = - 5 - 4 \\ \\ - x = - 9 \\ \\ x = 9[/tex]

Answer:

Step-by-step explanation:

we can say the angle is also +45° going in the clock wise direction.  so take Tan(45)= 1

Cot(45) = 1

b/c  Tan(45) = Sin(45) /Cos(45) = ([tex]\sqrt{2}[/tex]/2) / ([tex]\sqrt{2}[/tex]/2)   ofc that's just 1

b/c Cot(45) = Cos(45) / Sin(45) , which is the same as above 1

Answer:

54

Step-by-step explanation:

The square in the middle = 36, as 6x6=36

There are 2 triangles on each side of the center square.

Since the base of the trapezoid is 12, and the base of the square is 6, that leaves 3 for the base of each triangle.

3x6=18x1/2 (As a triangle's area is b (base) x h (height) x (one half) 1/2

18x1/2 is 9.

Each triangle equals 9.

36+9+9=54

The final answer is 54