Solve h = - 16t2 + 36 for the time t in seconds it takes for the height h to reach 0. Apply the square root method.

Answer:

1) x = -1 or x = -10 (either of them are both correct)

2) x = 3 or x = -5

Step-by-step explanation:

Let's solve your equation step-by-step.

x2 + 11x + 10 =0

Step 1: Factor left side of equation.

(x + 1)(x + 10) = 0

Step 2: Set factors equal to 0.

x + 1 = 0 or x +10 = 0

x = −1 or x = −10

Answer:

x = −1 or x = −10

2x^2 + 4x − 30 = 0

Answer:

x = 3 or x = −5

Answer:

A

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = (n - 2) 180° ← n is the number of sides → A

The sum of the interior angles of a polygon with n sides is (n - 2) 180°.

The sum of all interior angles of an ordinary polygon is calculated via the method S=(n-2) × 180°, where 'n' is the number of sides of a polygon.

A polygon is a closed-dimensional form this is formed by means of enclosing line segments. not less than 3 line segments are required to make a polygon.

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Answer:

[tex]k = 3[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 0.5x[/tex]

[tex]g(x) = 0.5x - k[/tex]

Required

[tex]Find\ k[/tex]

Initial expression of f(x) is [tex]f(x) = 0.5x[/tex]

From the question; we understand that f(x) was shifted down by 3 units;

This implies that

[tex]New\ f(x) = 0.5x - 3[/tex]

Also from the question; we understand that this new f(x) is equivalent to g(x);

In other words;

[tex]New\ f(x) = g(x)[/tex]

Substitute[tex]New\ f(x) = 0.5x - 3[/tex] and [tex]g(x) = 0.5x - k[/tex]

This gives

[tex]0.5x - 3 = 0.5x - k[/tex]

Subtract 0.5x to both sides

[tex]0.5x - 3 - 0.5x = 0.5x - k - 0.5x[/tex]

Rearrange

[tex]0.5x - 0.5x - 3 = 0.5x - 0.5x- k[/tex]

[tex]-3 = -k[/tex]

Multiply both sides by -1

[tex]-3 * -1 = -k *-1[/tex]

[tex]3 = k[/tex]

[tex]k = 3[/tex]

Answer:

B. [tex]\sqrt[9]{xy^2}[/tex]

Step-by-step explanation:

Answer:

[tex]x(\sqrt[9]{y^2} )[/tex]

Step-by-step explanation:

[tex]xy^{2/9}[/tex]

The power 2/9 is on the variable y.

[tex]x(y^{2})^{1/9}[/tex]

The power 1/9 can be written as the ninth root.

[tex]x(\sqrt[9]{y^2} )[/tex]

Answer:

The correct option is B. 3√2(cos(135°) + i·sin(135°))

Step-by-step explanation:

The complex number is given as : 3 - 3i

Now, comparing this with the standard for : a + bi

⇒ a = 3 and b = -3

Now, r = √a² + b²

⇒ r = √18

⇒ r = 3√2

Now, The polar form is represented by :

z = r(cosθ + i·sinθ)

⇒ z = 3√2(cos 135° + i·sin 135°)

Therefore, the correct option is B. 3√2(cos(135°) + i·sin(135°))

Step-by-step explanation:

Answer:

y>1.5x+3

Step-by-step explanation:

All you need to do is isolate y, no coefficients, using basic algebra.

3x-2y<-6

-3x both sides

-2y<-3x-6

divide by -2 and switch the comparing sign to the other direction.

y>1.5x+3

Answer:

y > 3/2x +3

Step-by-step explanation:

3x-2y<-6

Subtract 3x from each side

3x-3x-2y<-3x-6

-2y< -3x-6

Divide each side by -2, remembering to flip the inequality

-2y/-2 > -3/-2x -6/-2

y > 3/2x +3

Answer:

1/2(3)-2/3(8)

3/2-9/3

3-9

2.3

9-32

6

-23

6

the value of x is 2.7.

i hope it will help you

THANK YOU

Answer:

The slope of line passes (x1, y1) and (x2, y2) could be calculated by:

    slope = (y2 - y1)/(x2 - x1)

=>A line passes (5, 1) and (2, -2) has the slope:

    slope = (-2 - 1)/(2 - 5) = (-3)/(-3) = 1

Hope this helps!

:)

Answer:

w⁴ - 36

=> ( w² )² - ( 6 )²

=> ( w² + 6 ) ( w² - 6 )

=> w² + 6 = 0 and w² - 6 = 0

=> w = √-6 and w = √6

The value of w is √-6 and √6 .

An identity is an equation that is true for all values of the variables.

For example:

The above equation is true for all possible values of x and y, so it is called an identity.

According to question one such identity will be used

[tex]a^{2} - b^{2} = (a+b)(a-b)[/tex]

w⁴ - 36

= ( w² )² - ( 6 )²

= ( w² + 6 ) ( w² - 6 )

= w² + 6 = 0 and w² - 6 = 0

= w = √-6 and w = √6

Hence, w is a quadratic term so it have two value √-6 , √6 .

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Answer:

C

Step-by-step explanation:

5/8 y-3/8 y + 2y=

2/8 y +2y     common denominator

2/8 y + 16/8 y =

18/8 y =9/4 y

Answer:

Step-by-step explanation:

Suppose

[tex]\left. { S = a _ { 1 } \frac { 1 - 5 ^ { 6 } } { 1 - 5 } } \\\\ { \Leftrightarrow S = \frac { a _ { 1 } } { 4 } ( 5 ^ { 6 } - 1 ) } \\\\ { \Leftrightarrow a _ { 1 } = \frac { 4 S } { 5 ^ { 6 } - 1 } } \right.[/tex]

then a1 = (4×15 624)÷(5^(6)-1)

            = 4

Answer:

A

Step-by-step explanation:

y-int. = 2

Slope m= rise/run = 1/2

The line has an equation y = (1/2)x +2

Shading is under the line, so y≤(1/2)x +2. Answer is A.

Answer:

Im confused on how its wrote down

Step-by-step explanation:

Answer:

x = 24.

Step-by-step explanation: given lines s and t are parallel and line m is a bisector, we can conclude that (2x+27) is an opposite exterior angle and congruent to the angle adjacent to (4x+9).  Defining those 2 angles are supplementary, they = 180 degrees.  Therefore, 2x+27+4x+9=180.  Subtract 36 (27+9) from the left side of the equation as well as from the right side (180-36) you get 2x+4x=144.  Add the x's you get 6x.  So, 6x=144.  Divide both sides by 6 and you get x=24.

Hope that helps

Answer:

answer is 24

Step-by-step explanation:

Answer:

F. and D.

Step-by-step explanation:

square root of 81 is 9 because 9 is a number which produces a specified quantity when multiplied by itself.

Answer:

64pi

Step-by-step explanation:

To find the raidus we divide the diameter by 2

Radius = 16/2 = 8

Area = pi*8^2 = 64pi

Answer:

64pi

Step-by-step explanation:

Answer:

1/13

Step-by-step explanation:

There are 4 king cards:

King of Hearts

King of Diamonds

King of Clover

King of Spades

This is 4 cards in a standard deck of 52. Set as a fraction 4/52.

Simplify:

(4/52)/(4/4) = 1/13

1/13 is the probability of drawing a KIng card.

~

Answer:

AD=17

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

area of a square = side^2

area of a cube = 6 x side^2

let the side be a .

6a^2 = 600

=> a^2 = 600/6

=> a^2 = 100

Hence the area of one of its faces is 100 square inches.

or in plain terms without using those formulas,

6 faces of the cube have 600 square inches

=> 1 face of the cube has 600/6 = 100 square inches

Answer:

The next step is to find the point on the circle which makes a tangent line that passes through the outside point.

Step-by-step explanation:

A tangent line to a circle is a line that touches the circle at exactly one point. You need two points to draw a line. You already have one point and the circle, then you need the other point, which lies on the circle. These two points have to lie on the same line. Notice that there are two possible tangent lines.

Answer:

connect the center of the circle to the point outside the circle

Step-by-step explanation:

Answer:

1.8

Step-by-step explanation:

Answer:

Missing value is -4/3 and whole solution can be written as  ( 8,-4/3)

Step-by-step explanation:

Given equation 2x+3y=12

solution ( 8,)

solution is form (x,y) hence in (8,) x is given as 8 while y  is missing to find y

we will plug 8 as value of x in equation  2x+3y=12. From this equation we will find the missing value.

2x+3y=12

=> 2*8+3y=12

=> 16 + 3y = 12

=> 3y = 12-16= -4

=> y = -4/3

Thus, missing value is -4/3 and whole solution can be written as  ( 8,-4/3)

Answer:

hope this helps you

Answer: B.

Step-by-step explanation:

Polynomials cannot have negative exponenets because x^-3 can be written as 1/x^3 and terms containing fractional exponents are not considered polynomials

Answer:

1) 114

2) 120

3) 35

4) 92

5) 83=10x+3

x=8

6) 2x+4+130=180

2x=46

x=23

7) 92+8x=180

x=11

8) 3x+8=35

x=9

9) 16x+4=180

16x=176

x=11

10) 76+x+104=180

x=0

The angle at which the pizza slices were cut would be 39.75°. The round-off to the nearest whole number would be 40°.

To find out the angle at which the pizza slices were cut, we need to first find out the angle of each slice of the pizza.

As per the question,

The total area of the pizza= 34 square inch

The total angle of the pizza= 360 degrees

We already know the area of a pizza= [tex]\pi r^2[/tex]

[tex]\pi[/tex]= 3.14

The diameter of the pizza, given= 14 inch

Therefore, the radius of the pizza= 7 inch

Area of the pizza= [tex]3.14*7^2[/tex]

=153.94

Now, the angle of the slice can be determined by:

The angle of the slices= (Area of each slice/Area of the pizza)* Total angle

The angle of the slices= (34/153.94)*360

=79.51

Since you ate 2 slices,

the angle of one slice = 79.51/2

=39.75 or the round-off would be 40.

Therefore, the angle at which the pizza slices were cut is 40°.

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