Find the value of x in the parallelogram.

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: 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:

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:

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:

[tex]\angle 1,\,\angle 2[/tex]

Step-by-step explanation:

"Interior"  -->  inside the triangle

"Remote" -->  away from angle 5

Answer:

The answers is B

y=5/4x-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:

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

Answer:

94.2

Step-by-step explanation:

Answer:

C = pie x diameter

= 3.14 x 30

= 94.2 units

Answer:

Area of field = 10 cm²

Step-by-step explanation:

Given field is a trapezium;

Parallel sides of given field are; 1¹/₂ cm and 3¹/₂ cm

Height of trapezium = 4 cm

Find:

Area of field

Computation:

Area of field = Area of trapezium

Area of trapezium = [Sum of Parallel sides / 2][h]

Area of field = [(1¹/₂ + 3¹/₂) / 2][4]

Area of field = [(5) / 2][4]

Area of field = [2.5][4]

Area of field = 10 cm²

Answer:

What you found were the x-intercepts of the quadratic function. Here's how you would write it- (2,0), (-9,0).

I think finding the zeroes of a function is equal to finding the x-intercepts, so I believe the two terms can be used interchangeably.

Hope I helped, have a nice day, also please correct me if I did anything wrong

Answer:

-9, 2

Step-by-step explanation:

f(x) = x^2 +7x -18

Set the function equal to zero

0 = x^2 +7x -18

Factor.  What two numbers multiply to -18 and add to 7

9*-2 = -18

9+-2 = -7

0 = (x=9) (x-2)

Using the zero product property

x+9=0    x-2 =0

x=-9   x=2

You can also write in coordinate pairs

(-9,0) and (2,0)

Step-by-step explanation:

(5.8 x 10⁴) + (7.17 × 10^6) =

(5.8 × 10⁴) + ( 717 × 10⁴)

= (5.8 +717) × 10⁴

= 722.8 × 10⁴

= 7.228 × 10^6

Answer:

no

Step-by-step explanation:

A circle will fail the vertical line test, which means a vertical lines intersects two or more points.  If it fails the vertical line test, it is not a function  

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: The answer is −  5  plus per centimeter

Hope this helps :)

OPTION D

log(20x²/y)

is the correct answer

the answer is D!

Step-by-step explanation:

have a nice day!!!

Answer:

254.34cm^2

Step-by-step explanation:

area=πr^2

area=3.14*9^2

area=3.14*81

area=254.34 cm^2

Answer:

y = 10/8 = 1.125 or 1 1/4

Step-by-step explanation:

Inverse proportion means

xy = a constant.

In this case, the constant is given by the example,

x = 2 when y=5, so

xy=10

when x = 8, then

y = 10/8 = 1.125 or 1 1/4

Answer:

y = 0.36

Step-by-step explanation:

Given y is inversely proportional to x² then the equation relating them is

y = [tex]\frac{k}{x^2}[/tex] ← k is the constant of variation

To find k use the condition y = 9 when x = 2 , then

9 = [tex]\frac{k}{2^2}[/tex] = [tex]\frac{k}{4}[/tex] ( multiply both sides by 4 )

36 = k

y = [tex]\frac{36}{x^2}[/tex] ← equation of variation

When x = 10 , then

y = [tex]\frac{36}{10^2}[/tex] = [tex]\frac{36}{100}[/tex] = 0.36

Answer:

You add the powers and multiply coefficients.

Answer:

9

Step-by-step explanation:

p-1=0

p=1

p10-1=?

1*10-1=?

10-1=9

Answer:

2, 4, 6, and 8, respectively

Step-by-step explanation:

The rule says that 2 times the x value, which we are given, equals to y, which we must find. So all we hve to do is multiply each of the given x values by two to get the y value.

Answer:

y=2x

Step-by-step explanation:'

Multiply the x times 2

[tex]\frac{1}{2}[/tex]                      [tex]\frac{2}{4}[/tex]                     [tex]\frac{3}{6}[/tex]                   [tex]\frac{4}{8}[/tex]        

2          4          6           8

Answer:

6

Step-by-step explanation:

y = f(x)

6 = a |1 |

6 = a. 1

a = 6/1

a = 6

Answer:

[tex] \displaystyle a = 6[/tex]

Step-by-step explanation:

we are given a absolute value function

[tex] \displaystyle f(x) = a |x| [/tex]

we want to figure out the value of a

since we are a point which is on the function we can figure out a by using the point i.e (1,6) this point tell us when x is 1 f(x) is 6 thus

substitute:

[tex] \displaystyle 6= a \cdot |1| [/tex]

absolute value of any integer is positive therefore,

[tex] \displaystyle 6= a \cdot 1[/tex]

simplify multiplication:

[tex] \displaystyle 6= a [/tex]

hence,

the value of a is [tex]\underline{\quad 6 \quad}[/tex]

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.

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.

Answer:

A = 68/5 ≈ 13.6

Step-by-step explanation:

If they're similar, the fraction between their sides have to be the same:

5/2 = 34/A

34•2/5 = A

A = 68/5 ≈ 13.6

3 black and 2 red balls, total number is 5

i) Both balls are black:

ii) Black and red balls:

22 boys and 18 girls, total number is 40

Combinations of 2 students:

Combination of 2 boys:

Combination of 2 girls:

Probability of selecting 2 students of the same sex: