In the diagram below,

Answer:

y = (x - 2)² - 9    Vertex form

y = x² - 4x - 5   Standard form

Step-by-step explanation:

vertex = (h, k) = (2, -9)

Vertex form

y = a(x - h)² + k

y = a(x - 2)² - 9

find "a" using point (5, 0)

0 = a(5 - 2)² - 9

0 = a(3)² - 9

0 = 9a - 9

9 = 9a

a = 1

y = (x - 2)² - 9

Standard form

y = (x² - 4x + 4)  - 9

y = x² - 4x - 5

Answer:

3y5 + 8y4 – 8y3

Step-by-step explanation:

2y5 – 6y3 + 1 + y5 + 8y4 – 2y3 – 1

2y5 + y5 + 8y4 – 6y3 – 2y3 + 1 – 1

3y5 + 8y4 – 8y3

Answer:

0.99

Step-by-step explanation:

99% + 99% - 99% × 99% ÷ 99%

198% + 99% - 99% × 99% ÷ 99%

198% - 99%

99%

so, 99 / 100

= 0.99

Answer:

0.99

Step-by-step explanation:

99% + 99% - 99% × 99% ÷ 99%

Add 99% and 99%

198% + 99% - 99% × 99% ÷ 99%

Divide 99% × 99% by 99%

198% - 99%

Subtract 99% from 198%

99%

By defination :- p% = p / 100

so, 99 / 100

= 0.99

Answer:

4.

5.

arranging the values in ascending order

2, 2, 4, 4, 4, 5, 6, 6, 6, 8, 8, 9

[tex]mean = \frac{ sum \: of \: all \: observations}{total \: number \: of \: observations}[/tex]

[tex] = \frac{2+2+4+4+4+5+6+6+6+8+8+9}{12} [/tex]

[tex] = \frac{64}{12} \\ = \frac{16}{3} [/tex]

median = 1/ 2 [ n/2th term +{ (n/2)+ 1 }th term ]

for n is even

= 1/ 2 [ 6th + 7th term]

= 1/ 2 [5 + 6]

= 5.5

mode = value with highest frequency or the value that appears most frequently In a given set of data.

mode =4, 6

because both 4and 6 appear 3 times in the given set of data which is the highest frequency.

Answer:

Answer:

4.

this shows that the height of 13 year old females in one class is less variable than the other class.

this means that the height of students in class with range 6 may vary from person to person while that in class with range 3 maybe clustered around one another.

we're expected to see students of almost same height in class ,with range 3, more than the students in class with range 6.

5.

arranging the values in ascending order

2, 2, 4, 4, 4, 5, 6, 6, 6, 8, 8, 9

mean = \frac{ sum \: of \: all \: observations}{total \: number \: of \: observations}mean=

totalnumberofobservations

sumofallobservations

= \frac{2+2+4+4+4+5+6+6+6+8+8+9}{12} =

12

2+2+4+4+4+5+6+6+6+8+8+9

\begin{gathered} = \frac{64}{12} \\ = \frac{16}{3} \end{gathered}

=

12

64

=

3

16

median = 1/ 2 [ n/2th term +{ (n/2)+ 1 }th term ]

for n is even

= 1/ 2 [ 6th + 7th term]

= 1/ 2 [5 + 6]

= 5.5

mode = value with highest frequency or the value that appears most frequently In a given set of data.

mode =4, 6

because both 4and 6 appear 3 times in the given set of data which is the highest frequency.

Step-by-step explanation:

it might help you

============================================================

Explanation:

There are 8 identical triangles shown here (ignore the dashed vertical line). We know they are identical because of the phrasing "same size and same shape". In other words, the triangles are congruent.

Each triangle has base 12 cm and height 10.4 cm

So the area of each triangle is base*height/2 = 12*10.4/2 = 62.4 square cm.

In total, all 8 triangles combine to an area of 8*62.4 = 499.2 square cm which points us to choice D

Answer:

C

Step-by-step explanation:

step by step fr

Answer:

The graph below ^-^

Hope this helps!

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

The graph that represents the equation is given below.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

y = (-1/2) [tex]2^x[/tex]

The graph that represents the equation is given below.

Thus,

The graph that represents the equation is given below.

Learn more about equation of a line here:

https://brainly.com/question/23087740

#SPJ2

Step-by-step explanation:

first find the area of the semi circle

1/2πr²

1/2π(2ft)²

1/2π4ft²

6.2831853071795864ft²

area of shaded portion

area of a rectangle=length x width

4ftx2ft(2is half the diameter)

8ft²

subtract are of semi circle from the area of the rectangle

8ft²-6.2831853071795864ft²

1.7168146928204135ft²

Answer:

The answer is C

Step-by-step explanation:

In these questions you have to remember crawl before you walk. So x First then y match up the coordinates (-4,9) and such and the answer should reveal itself.

Regards,

Fellow 8th grader, Abdelmumen Nakoa

Answer: 57 degrees

Step-by-step explanation:

Angle ZXY = Angle YZV = 75 degrees (Alternate segment theorem)

Since angles on a straight line add upto 180 degrees:

Angle UZX = 180 - ( 75 + 48) = 57 degrees

Note: 75 is Angle YZV and 48 is Angle XZY

Answer:

You add the powers and multiply coefficients.

Answer:

.66

Step-by-step explanation:

Answer:

vertex = (- 1, - 4 )

Step-by-step explanation:

Given a parabola in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

x = - [tex]\frac{b}{2a}[/tex]

y = x² + 2x - 3 ← is in standard form

with a = 1, b = 2 , then

x = - [tex]\frac{2}{2}[/tex] = - 1

Substitute x = - 1 into the equation for corresponding value of y

y = (- 1)² + 2(- 1) - 3 = 1 - 2 - 3 = - 4

vertex = (- 1, - 4 )

Answer:

To find the answer, we need the measurement of the sides. However just by looking at the triangle I would say it is a Isosceles triangle.

Step-by-step explanation:

An Isosceles triangle has has 2 side that are the same length. Looking at the picture the bottom appears to be longer than the sides of the triangle.

Answer:

-16x

Step-by-step explanation:

6x + ? = -10x

Subtract 6x from each side

6x + ?  -6x= -10x-6x

? = -16x

Answer:

[tex]4( {x}^{2} - 1) - ( {x}^{2} - 8x - 5)[/tex]

[tex]4 {x}^{2} - 4 - {x}^{2} + 8x + 5[/tex]

[tex]3 {x}^{2} + 8x + 1[/tex]

Step-by-step explanation:

a. 960÷15=64

check:64×15 = 960

Answer:

Step-by-step explanation:

The discriminant is found in

[tex]b^2-4ac[/tex] which is part of the quadratic formula. In

[tex]4x^2+10x-16=0[/tex], a = 4, b = 10, c = -16. Filling in for the discriminant:

[tex]10^2-4(4)(-16)=100+256=356[/tex]

It's positive so we know we have real roots; it's not a perfect square, so our solutions are 2 complex rational.

In [tex]-16x^2-7x+3=0[/tex], a = -16, b = -7, c = 3. Filling in for the discriminant:

[tex](-7)^2-4(-16)(3)=49+192=241[/tex]

It's positive and not a perfect square so the 2 solutions are complex rational

Answer:

Area = w x (5+ 8 w)

Step-by-step explanation:

Recall the formula for the area of a rectangle:   Area=with x length

You are suggested to use "w" to represent the width of the pen.

Now, they give you information about the length of the pen in word form.

We are converting those words into an algebraic expression:

"The length of the pen is 5 more than 8 times the width of the pen"

Length = 5 + 8  w

So we replace the length of the pen with this expression in the area formula:

Area = w x (5+ 8 w)

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

Have a great rest of ur day :)

Step-by-step explanation:

Answer: 154

Step-by-step explanation:

The mean is calculated by adding up all the numbers and dividing by the number of observations added up.

The above can therefore be expressed as:

(88 + 55 + 99 + x) / 4 = 99

242 + x = 99 * 4

242 + x = 396

x = 396 - 242

x = 154

Answer:

mark me

Step-by-step explanation:

x+y=3

x=3-y

putting the value of x

in this

x²+y²=5

(3-y) ²+y²=5

9-6y+y²+y²=5

2y²-6y+9-5=0

2y²-6y+4=0

2y²-4y-2y+4=0

2y(y-2)-2(y-2)=0

(2y-2) (y-2) =0

2y-2=0 or y-2=0

y=1 or y=2

so x=2 or 1

so x×y=2×1 or 1×2=2

I HOPE THIS WILL HELP YOU MARK ME BRAINLIEST

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

A = [ -1, 2, -3, 4]

B = [ -2, 3, -2, 4]

C = [ 3, -4, -2, 4]

Answer:

1200cm²

Step-by-step explanation:

(½*20cm*10cm)*2 + (½*20cm*50cm)*2

Answer:

60 * 40 / 2 = 120cm²

try to puzzle the triangles together to rectangles in your head

Answer:

Standard deviation = 12.8 Approx.

Step-by-step explanation:

Given series;

88, 65, 88, 49, 60, 71, 56, 87, 64, and 52.

Find:

Standard deviation

Computation:

Assume mean (a) = 60

x        d(x - a)    d²

88        28       784

65         5        25

88        28       784

49        -11        121

60         0         0

71          11        121

56        -4         16

87        27        729

64         4         16

52        -8        64        

      Σd = 80   Σd² = 2,660

So,

Standard deviation = √[Σd² / N] - [Σd / N]²

Standard deviation = √[2260 / 10] - [80 / 10]²

Standard deviation = √226 - 64

Standard deviation = √162

Standard deviation = 12.8 Approx.

Answer: The answer is −  5  plus per centimeter

Hope this helps :)

Answer:

v=2

Step-by-step explanation:

add five to the other side and: -8v=(-21+5)

divide -16 by -8: v= -16/-8

v=2

Answer:

72

Step-by-step explanation:

20 got 4 added to it and the only number that gives you 24 when you multiply it is 4x6 and we can prove that to be right because the one before it is 4x5 and it gives us 20. Now that we know the multiplier is 5 and 6 we can ask ourselves, "What do I multiply by 5 that gives me 60?" And that is 12. So 12x6 is 72 for x.

9514 1404 393

Answer:

  D.  $101,000 – $120,000

Step-by-step explanation:

The bar graph is not completely labeled, but in the context of the question it seems safe to assume that the vertical scale can be considered to represent relative frequency.

So, the shortest bar is the one with the lowest frequency. The horizontal scale identifies that as 101-120. If we assume that is salary in thousands of dollars, then Choice D is appropriate.