A basketball is thrown with an initial upward velocity of 23 feet per second from a height of 7 feet above the ground. The equation h=−16t2+23t+7h=−16t2+23t+7 models the height in feet t seconds after the basketball is thrown. After the ball passes its maximum height, it comes down and then goes into the hoop at a height of 10 feet above the ground. About how long after it was thrown does it go into the hoop? Select one: a. 1.29 seconds b. 1.44 seconds c. 1.70 seconds

(2x+7)*5 = 6x+11

10x+35 = 6x+11

4x+35 =11

4x=-24

x=-6

 the number is -6

Answer: The correct option is 4, i.e., translation.

Explanation:

It is given that the triangle DEF is congruent to GHJ by the SSS theorem.

From the given figure it is noticed that the triangle DEF and GHI are isosceles triangle.

Reason for correct option:

In transition the side and angles of the shape are not effected and the figure transfers from one place to another place without making any other change.

Since the both triangle are congruent and the position of all sides and angles are same, therefore option 4 is correct.

Reason for incorrect option:

In dilation the size of the figure is either stretched or compressed according to the scale factor k. But in the given figure the size of both triangles are same it means option A is incorrect.

In reflection the distance of all the point in preimage and all the image are same from the central line. Any central line does not exist in given figure. SO, the option B is incorrect.

In rotation the side length and angles are not affected but the position are not same, therefore the option C is incorrect.

Answer: Translation

Step-by-step explanation:

Given: Triangle DEF is congruent to GHJ by the SSS theorem.

From the given picture two sides of both triangles are equal therefore, the triangle DEF and GHI are isosceles triangle.

We know that a transition is a kind of rigid motion used in geometry to trace a function that moves an object a particular distance that maps produces images.

Since the both triangle are congruent and just position of triangle GHJ is shifted to the right and down.

Therefore, the  transition is rigid transformation which is required to map DEF onto GHJ

The probability that the lock code will begin with the number 5 is:

The probability that the lock code will not contain the number 0 is:

This refers to the use of permutations to find the possible occurrence of events.

The total number of elements is 10

Hence, the total codes is 5040.

P(five)= n(first number)/n(all codes)= 1/10= 0.1

Next,

P(codes without zero)= n(codes without zero)/n(all codes)

(9*8*7*6)/(10*9*8*7)=6/10=0.6

=0.6

Read more about probability here:
https://brainly.com/question/24756209

Hence, the volume of pyramid is:

3x^2 cm^3

We know that a volume(V) of a oblique square pyramid with height 'h' and base area A is given by the help of formula:

[tex]V=\dfrac{1}{3}\times (Ah)[/tex]

Now, according to the ques we have:

The base edge of an oblique square pyramid is represented as x cm.

The height is 9 cm.

Hence, the base area (A) is calculated as:

[tex]A=x^2[/tex]

( Since the base is in the shape of a square and we know that the area of square with side length s is given as:

[tex]Area=s^2[/tex] )

So, the volume of the pyramid is calculated as:

[tex]V=\dfrac{1}{3}\times (x^2\times 9)\\\\V=3x^2 \ cm^3[/tex]

Hence, the volume of pyramid is:

3x^2 cm^3

A pyramid is a solid shape with several triangles and a base. The volume of the pyramid in terms of x is 3x^2 cm3

The volume(V) of an oblique square pyramid with height 'h' and base area A is expressed according to the formula:

V = Bh/3

B is the base area = x * x = x^2

h is the height = 9cm

Substitute

V = x^2*9/3

V = 3x^2cubic cm

Hence the volume of the pyramid in terms of x is 3x^2 cm3

Learn more on volume of pyramid here: https://brainly.com/question/218706

In this case, to flip any of the points to map up accurately to the other points, we would have to do a transformation of reflection about the y-axis. The reason behind this is that out of other transformation process, we can only achieve the image of triangle ∆A’B’C’ through reflection.

Dilation will not work since it only changes the size of the object. The shape and position will not affected.

A translation will not work because although the shape can move, it still needs to flip to achieve triangle ∆A’B’C’.

A rotation will also not work because when you rotate it, the shape will still not map over the new one.

Therefore the only answer to this question would be to reflect triangle ∆ABC about the y-axis.

For the table, y = 25x.
When x = 12, y = 25*12 = 300

For the graph, y = 30x
When x = 12, y = 30*12 = 360

When x = 12, the value of y on the graph is 60 more than its value in the table.

Answer:

The correct option is C. The value of y be on the graph than is 60 more than the y value in the table when x = 12.

Step-by-step explanation:

If a line passing through two points then the equation of line is

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

From the given table it is clear that the line passing thought the points (4,100) and (5,125).

[tex]y-100=\frac{125-100}{5-4}(x-4)[/tex]

[tex]y-100=25(x-4)[/tex]

[tex]y-100=25x-100[/tex]

[tex]y=25x[/tex]

The value of this function at x=12 is

[tex]y=25(12)=300[/tex]

From the given table it is clear that the line passing thought the points (0,0) and (2,60).

[tex]y-0=\frac{60-0}{2-0}(x-0)[/tex]

[tex]y=30x[/tex]

The value of this function at x=12 is

[tex]y=30(12)=360[/tex]

The difference between y value in the graph and in the table at x=12 is

[tex]360-300=60[/tex]

The value of y be on the graph than is 60 more than the y value in the table when x = 12. Therefore the correct option is C.

Answer:

1.6

Step-by-step explanation:

The slope is the change in y divided by the change in x.

The slope is the ratio of rise to run.

Answer:

the answer is -10

Answer:

No solution

Step-by-step explanation:

[tex]2x-7=y[/tex]

[tex]y=2x+3[/tex]

To solve the system of equations, we use substitution method

Lets substitute the second equation y=2x+3 for y in the first equation and solve for x

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

Lets solve for x

subtract 2x on both sides

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

[tex]-7=+3[/tex] is false

So, no solution for this system of equations

Answer:

3552

Step-by-step explanation:

Hello : let  A(-1,3)    B(4,-2)
the slope is :   (YB - YA)/(XB -XA)
(-2-3)/(4+1)  = -1
an equation is : y=ax+b     a is a slope

y = -x +b

the line through point  B(4,-2) :  -2 = -1(4)+b
b = 2 
the equation is : y =-x+2

Answer:

Property's actual area  = 6400 m²

Step-by-step explanation:

Scale = 1 : 500

Side on map = 16 cm

Side of property = scale x side on map = 16 x 500 = 8000 cm

Area of property = 8000 x 8000 = 64000000 cm²

Area of property = 6.4 x 10⁷ cm² = 6.4 x 10³ m²

Property's actual area  = 6400 m²

Answer: The player needs 16 more points to tie the record.

Step-by-step explanation:

Let the number of points the player needs to tie the record be 'x'.

Number of points that a basketball player has already scored = 56

Number of points a team need for record in a game = 72

According to question, it becomes,

[tex]x+56=72\\\\x=72-56\\\\x=16[/tex]

Hence, the player needs 16 more points to tie the record.

you would need a function to determine whether to use a formula for 1 or 2 nights or a formula for more than 2 nights

T(x)={a if x <_ 2, b if x > 2}

 if it's 2 nights or less use option a, a = 75x

 if its longer than 2 days use option b, b= 50x + 50

Answer:

t = 75x  {x ≤ 2}

t = 150 + 50x {x > 2}

Step-by-step explanation:

A hotel chain charges $75 per night for first two nights.

If the number of nights of the stay are x then charges for x nights

= 75x where x ≤ 2

If the stay is for than 2 nights then charges for x nights

= Charges for two first 2 nights(@$75 per night) + charges for other than initial 2 nights (@$50 per night)

= (75×2) + 50x where x > 2

Therefore total cost of the hotel if represented by t then the function will be

t = 75x  {x ≤ 2}

t = 150 + 50x {x > 2}