The length of side ab is units. the length of side bc is units. the length of side ac is units.

The probability is 1/5.

There are 3 red marbles and 3 white marbles, for a total of 6.

The probability that the first marble is red is:

P(red) = 3/6

The probability that the second marble is also red is:

P(red') = 2/5 (because now there are 2 red marbles and a total of 5).

The joint probability is:

P = (3/6)*(2/5) = 1/5

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the translations is,

               C(-5,-1) → (-3,-3)

               D(-4,3) → (-2,1)

               E(-3,2) → (-1,0)

               F(-2,0) → (0,-2)

What is Translation ?

The changes in the value of the x and y  coordinates is known as translation.

Calculation:

The given points are C(-5,-1), E(-4,3), F(-3,2), F(-2,0).

according to the question (x,y)→(x+2,y-2)

 this means x coordinate changes by addition of 2

 And the y coordinate changes by subtraction of 2  

 Addition and Subtraction in the Coordinates,

             C(-5,-1) → (-5+2,-1-2) → (-3,-3)

             D(-4,3) → (-4+2,3-2) → (-2,1)

             E(-3,2) → (-3+2,2-2) → (-1,0)

             F(-2,0) → (-2+2,0-2) → (0,-2)

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The length of side OA in the given rhombus is: 5 units.

A rhombus is a quadrilateral that has four sides that are all of the same length. Therefore, in the image given, the length of AB equals the length of OA.

Given the following:

Length of AB = |8 - 3}

Length of AB = 5 units.

AB = OA = 5 units.

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Answer:

2(7x + 2)

Step-by-step explanation:

Perimeter of a Rectangle = 2 x Length + 2 x Width.

Given Length = 4x, Width = 3x + 2,

Perimeter of Rectangle = 2(4x) + 2(3x + 2)

= 8x + 6x + 4

= 14x + 4 (Degree one polynomial)

= 2(7x + 2)

Answer:

[tex]5\frac{6}{11}[/tex]

Step-by-step explanation:

Number of Values = 11.

Mean = Sum of values / Number of Values

= [tex]\frac{3+2+4+6+5+6+1+7+9+8+10}{11} \\=\frac{61}{11} \\= 5\frac{6}{11}[/tex]

Answer:

C

Step-by-step explanation:

Example
Find 55% of 200.

200 times 0.55 = 110

Answer: the answer is B

Step-by-step explanation:

if we want to find the percent of 700 people out of 4400 people, we would do 700/4400, which is equal to 0.16, or 16 percent.

The graph of g(x) is the graph of f(x) translated 2 units to the right and 6 units up.

Here we have:

[tex]f(x) = x^3\\\\g(x) = (x - 2)^3 + 6[/tex]

You can notice that if we take f(x), and we shift it 2 units to the right, we have:

g(x) = f(x - 2)

Then if we apply a shift upwards of 6 units, then we have:

g(x) = f(x - 2) + 3

Replacing f(x) by the cubic parent function, we have:

[tex]g(x) = (x - 2)^3 + 6[/tex]

So we conclude that the graph of g(x) is the graph of f(x) translated 2 units to the right and 6 units up.

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The height h of the triangle is 5.42 ft

The height of the triangle can be found using the formula below:

Area = 1 / 2 bh

where

Therefore,

A = √s(s - a)(s - b)(s - c)

Hence,

s = 14 + 7 + 11 / 2 = 32 / 2 = 16

A = √16(16 - 11)(16 - 7)(16 - 14)

A = √1440

A = 37.947331922

A = 37.95 ft²

37.95 = 1 / 2 × 14 × h

h = 37.95 / 7

h = 5.42104741743

h = 5.42 ft

Therefore, the height h of the triangle is 5.42 ft

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The triangles are congruent by SAS congruence theorem

From the figure, we have the following congruent sides

Also, both triangles share a common vertex at B

This means that:

<B = <B

Two sides and one angle are congruent in the triangles

Hence, the triangles are congruent by SAS congruence theorem

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Answer:

8 ×10=80

Step-by-step explanation:

because 1 time

8

10 times

add so

90

less

so that's it

80

The cross products of the proportion are equal.

According to the question, Sonny's equation can be written as follows.

16/x = 48/15

Now, the variable x is replaced by the constant 5. So the equation can now be written as follows.

16/5 = 48/15

When two fractions are equal to one another as shown above, the constants are cross multiplied with one another in order to form an equation.

16*15= 48*5

The values of both the products are equal which is 240.

Therefore, because the cross products of the proportion are equal.

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Answer: (2, 18)

Step-by-step explanation:

When x=2, [tex]f(2)=2(3)^{2}=18[/tex].

So, it should pass through (2, 18).

Answer:

Step-by-step explanation:

Obtuse, greater than 90 degrees

Answer:

It should be an obtuse angle

Step-by-step explanation:

Well, it just is

The inverse of the equation y = x^2 + 9 is [tex]x = \sqrt{y - 9[/tex]

The equation is given as:

y = x^2 + 9

Subtract 9 from both sides

x^2 = y - 9

Take the square root of both sides

[tex]x = \sqrt{y - 9[/tex]

Hence, the inverse of the equation y = x^2 + 9 is [tex]x = \sqrt{y - 9[/tex]

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Answer:

y = (3/10)x + 1/10

Step-by-step explanation:

The general structure of an equation in slope-intercept form is:

y = mx + b

In this form, "m" represents the slope and "b" represents the y-intercept. First, we need to rearrange the given equation to determine the slope of the original line.

10x + 3y = 5                                <----- Original equation

3y = -10x + 5                               <----- Subtract 10x from both sides

y = (-10/3)x + 5                            <----- Divide both sides by 3

Now, we can tell that the slope of the original line is m = -10/3. The perpendicular line should have an opposite-signed, reciprocal slope to that of the original. Therefore, the new slope is m = 3/10.

We can find the value of "b" by plugging the new slope and values from the Point (3, 1) into slope-intercept form.

m = 3/10

x = 3

y = 1

y = mx + b                                  <----- Slope-intercept form

1 = (3/10)(3) + b                           <----- Insert values

1 = 9/10 + b                                 <----- Multiply 3/10 and 3

10/10 = 9/10 + b                          <----- Create common denominators

1/10 = b                                      <----- Subtract 9/10 from both sides

Now that we know the values for "m" and "b", we can construct the equation of the perpendicular line.

y = (3/10)x + 1/10

Answer:

3/5

Step-by-step explanation:

the chance of landing on an even number (2 or 4) is 2/5

the chance of landing on the unshaded section (3) is 1/5

add the 2 together since the problem said "or" to get 3/5

Answer:

see explanation

Step-by-step explanation:

the equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

here (h, k ) = (1, - 4 ) and a = 1 , then

y = (x - 1)² - 4 → b

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

given 3 sides of a triangle then an angle may be found using the cosine law. → b

if the 3 sides are a, b, c then

cosA = [tex]\frac{b^2+c^2-a^2}{2bc}[/tex] ← allowing ∠ A to be found

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

cosC = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{4}{5}[/tex] → a

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

since the triangles are similar then the ratios of corresponding sides are in proportion, that is

[tex]\frac{AB}{DE}[/tex] = [tex]\frac{BC}{EF}[/tex] ( substitute values )

[tex]\frac{x}{6}[/tex] = [tex]\frac{10}{4}[/tex] ( cross- multiply )

4x = 6 × 10 = 60 ( divide both sides by 4 )

x = 15 → b

Answer:

Step-by-step explanation:

There are a few algebraic, geometric, and trig relations you are expected to remember. These come into play in this set of questions.

When solving any problem, the first step is to understand what is being asked. The second step is to identify the relevant information and relationships that can help you answer.

You are asked for the equation of a parabola with a given vertex. The vertex form equation will be useful. We can assume a scale factor ('a') of 1.

For vertex (h, k) = (1, -4) and a=1, the vertex form equation is ...

  y = a(x -h)² +k

  y = 1(x -1)² +(-4)

  y = (x -1)² -4

You are given 3 sides and want to find an angle. The useful relation in this case is the Cosine Law. (If you wanted to use the Sine Law, you would already need to know an angle.)

The mnemonic SOA CAH TOA reminds you that the cosine relation is ...

  Cos = Adjacent/Hypotenuse

The side adjacent to angle C is marked 4; the hypotenuse is marked 5. The desired ratio is ...

  cos(C) = 4/5

The measure x is also the measure of side AB. The similarity statement lists those letters as the first two. It also lists the letters DE as the first two. The other given side in ΔABC is BC, corresponding to side EF in the smaller triangle. Corresponding sides are proportional, so we have ...

  AB/DE = BC/EF

  x/6 = 10/4

We can find the value of x by multiplying this equation by 6:

  x = 6(10/4) = 60/4

  x = 15

Please note that BC is the shortest side in ΔABC. This means x > 10. There is only one such answer choice. (No math necessary.)

The graphed inequality is:

[tex]y \geq \frac{1}{3}*x - 1[/tex]

We know that the line is solid, and the region above and to the left is shaded, then the inequality is of the form:

y  ≥ line.

Now we need to get the linear equation.

It is of the form;

y = a*x + b

Where a is the slope and b is the y-intercept. Because it passes through (0, -1), we know that the y-intercept is -1.

And knowing that the line passes through (0, -1) and (3, 0), the slope is:

[tex]a = \frac{- 1 - 0}{0 - 3} = \frac{1}{3}[/tex]

Then the inequality is:

[tex]y \geq \frac{1}{3}*x - 1[/tex]

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An equivalent ratio of the given ratio 6/7 is; 12/14

To find equivalent ratios, we will just multiply the given ratio by any number that is equivalent to 1 such as 2/2, 3/3, 4/4, 5/5 e.t.c

Now, we want to find equivalent ratio of 6/7. Applying the procedure above, we can say that;

Equivalent ratio = (6/7) * (2/2) = 12/14

Thus, an equivalent ratio of 6/7 is; 12/14

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1+3+5+7+9+11+13+15

=4+12+20+28

=16+48

=64

The new location is in Quadrant IV and The new location has a positive x-coordinate and a negative y-coordinate. Hence, option b and c are correct.

Solution:

If the point were to reflect across the y-axis, it would fall into the fourth quadrant.

Additionally, the coordinates will be positive for the x-axis and negative for the y-axis.

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I hope you are trying to ask the question below:

Question

A point in Quadrant III is reflected across the y-axis. What is true about the new location? Check all that apply.

a. The new location is in Quadrant II.

b. The new location is in Quadrant IV.

c. The new location has a positive x-coordinate and a negative y-coordinate.

d. The new location has a negative x-coordinate and a positive y-coordinate.

e. The new location has negative x- and y-coordinates.

The complete statements are:

The complete question is added as an attachment

The roots are given as:

x = 0 second

and

x = 9.8 seconds

x = 0 implies that the height of the arrow was 0 meters above his bow after 0 seconds

x = 9.8 implies that  it takes approximately 9.8 seconds for the arrow to return to the height of the bow.

The x-value of the vertex is

x = (0 + 9.8)/2

Evaluate

x = 4.9

Approximate

x = 5

This means that the vertex is approximately 5 seconds

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Answer:

  h(x) = 2x² -8x -10

Step-by-step explanation:

In the US, a quadratic is in standard form when the terms are listed in order of decreasing degree.

In the UK, a quadratic is in standard form when it is written in vertex form.

__

The only function with terms in order of decreasing degree is ...

  h(x) = 2x² -8x -10

All of the functions except the last are written in vertex form:

__

Additional comment

Since the question asks about one function, we assume it is from the perspective of the US understanding of standard form. The point here is that "standard form" may vary from one tradition to another. (The "standard form" for numerical values varies by tradition, as well.)

The factorized form of the given function, f(x) = 2x⁴ - x³ - 18x² + 9x, is, f(x) = x(2x - 1)(x + 3)(x - 3), and the complete statement is, From left to right, function f has zeros at x = -3, x = 0, x = 1/2, and x = 3.

In the question, we are asked to find the factors of the function f, and complete the given statement.

The function f, given to us is:

f(x) = 2x⁴ - x³ - 18x² + 9x.

To factor the function, we first group the terms as follows:

f(x) = (2x⁴ - 18x²) - (x³ - 9x).

Now, we take common terms out of the group as follows:

f(x) = 2x²(x² - 9) - x(x² - 9).

Now, we again take common terms, as follows:

f(x) = (2x² - x)(x² - 9),

or, f(x) = x(2x - 1)(x + 3)(x - 3).

This is the factored form of the given function, f.

The statement given to us is:

From left to right, function f has zeros at x = _, x = _, x = _, and x = _.

To find the zeroes of the function, we equate the factorized form to 0.

x(2x - 1)(x + 3)(x - 3) = 0.

By zero-product rule, the zeroes are at:

x = 0,

2x - 1 = 0, or, x = 1/2,

x + 3 = 0, or, x = -3,

x - 3 = , or, x = 3.

Arranging these in ascending order, the zeroes are at: -3, 0, 1/2, and 3.

Thus, the factorized form of the given function, f(x) = 2x⁴ - x³ - 18x² + 9x, is, f(x) = x(2x - 1)(x + 3)(x - 3), and the complete statement is, From left to right, function f has zeros at x = -3, x = 0, x = 1/2, and x = 3.

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For the complete question, refer to the attachment.

Answer: Edmentum/plato

Step-by-step explanation:

Step-by-step explanation:

what is not clear that you cannot answer this by yourself ?

please let me know what you need explained.

1. Rhombus

2. rectangle

3. square

4. rhombus

5. square

6. rectangle

7. rhombus

8. parallelogram

Step-by-step explanation:

M=2G

M=J+10

G=J-8

2G=J+10

G=J-8

2(J-8)=J+10

2J-16=J+10

J=26

The modal and mean mark of the frequency distribution is 5 and 4.83 respectively.

Mode refers to a mark which reoccurs most in a frequency distribution.

The total number of students who wrote the test = 2 + 3 + 4 + 6 + 10 + 4 + 3 + 2 + 1 + 1

= 36 students

Mean mark = Total mark / Total students

= (2×1) + (3×2) + (4×3) + (6×4) + (10×5) + (4×6) + (3×7) + (2×8) + (1×9) + (1×10) / 36

= (2+6+12+24+50+24+21+16+9+10 / 36

= 174/36

= 4.83333333333333

Approximately,

Mean mark = 4.83

If 25% of students failed,

Number of students who failed = 25% of 36

= 25/100 × 36

= 0.25 × 36

= 9 students.

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The area and circumference of a circle are 12.56square feet and 12.56ft respectively

The formula for calculating the area and circumference of a circle is expressed as:

A = πr²

C = πd

where

r is the radius and d is the diameter

Area = 3.14 * (2)²

Area = 12.56ft²

For the circumference

C = 3.14(4)

C = 12.54ft

Hence the area and circumference of a circle are 12.56square feet and 12.56ft respectively

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