g[ x]=x^2-8x-20
is it 2 solutions
1 solution or 2 imaginary solutions

Answer:

Step-by-step explanation:

we are given opposite, adjacent and hypotenuse

and said to find cos(B)

recall trigonometric identity [tex]\cos(\theta)=\dfrac{adj}{hypo}[/tex]

let adj and hypo be 9 and 41 respectively

so

[tex] \displaystyle \: \cos( \beta ) = \frac{9}{41} [/tex]

hence our answer is b

Answer:

A 303.66

Step-by-step explanation:

b1+b2÷2×h is the formula.

So step by step.

29.2+19=48.2

48.2÷2=24.1

24.1×12.6=303.66

The area of a trapezoid is 303.66 square in having a height of 12.6 in and its long and short bases are 29.2 in and 19 in respectively.

It is given that the trapezoid has a height of 12.6 in and its sides 19 in, 29.2 in, and 14.5 in respectively.

It is required to find the area of a trapezoid.

It is defined as the quadrilateral having a four-sided closed shape with two sides parallel to each other.

We know the formula for the area of a trapezoid:

[tex]\rm Area = \frac{a+b}{2} \times h[/tex]   Where 'a' is the long base, 'b' is the short base and 'h' is the height.

We have a = 29.2 in

               b = 19 in

               h = 12.6

By putting these values in the formula, we get:

[tex]\rm=\frac{a+b}{2} \times h\\\\=\frac{29.2+19}{2} \times 12.6\\\\=\rm \frac{48.2}{2} \times 12.6\\\\\rm= 24.1 \times 12.6\\\\\rm= 303.66 \ in^2[/tex]

Thus, the area of a trapezoid is 303.66 square in having a height of 12.6 in and its long and short bases are 29.2 in and 19 in respectively.

Learn more about the trapezoid here:

https://brainly.com/question/4758162

Answer:

1. Combine the like terms from all 3 sections then subsite for X.

2. You can subsitue X in and solve the areas for each section, then adding up the 3 areas.

Step-by-step explanation:

The two ways to find the total area of the park are:

Add the Areas of Each Section

Use Geometric Shapes

Both methods should give us the same total area of 3x² + 175x + 1200 ft².

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Method 1:

Add the Areas of Each Section

We can find the total area of the park by adding the areas of each section. Therefore, the total area is:

Total Area = Game field + Picnic field + Recreation area

Total Area = (x² + 95x + 450) + (x² + 45x + 450) + (x² + 35x + 300)

Total Area = 3x² + 175x + 1200 ft²

Method 2:

Use Geometric Shapes

Another way to find the total area of the park is to use geometric shapes that represent each section.

We can see that the Game field and Picnic field have the same area of

x² + 95x + 450 ft², which we can represent as a rectangle.

The Recreation area has an area of x² + 35x + 300 ft², which we can represent as a triangle.

Therefore, the total area of the park is the sum of the areas of the rectangle and triangle.

Total Area = Area of Rectangle + Area of Triangle

Total Area = (x + 15)(x + 30) + (1/2)x(x + 35)

Total Area = 3x^2 + 175x + 1200 ft^2

Thus,

Both methods should give us the same total area of 3x² + 175x + 1200 ft².

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Answer:

large intestine

in the large intestine there are 3 parts that are caecum colon and rectum. good is stored in the rectum until excreted

Answer:

yes

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

3*7+4=25

5*7-10=25

Answer:

y= 3x + 5

Step-by-step explanation:

The +5 represents the starting 5 action figures, and the 3x represents the 3 action figures he collects each month.

Answer:

36cm

IM TYPEING RANDOM WORDS CUZ IT SAYS ITS TOO SHORTTTTTTTTTTT

Answer:

Slope (m) =

ΔX = 5 – 3 = 2

ΔY = -2 – 1 = -3

Distance (d) = √ΔX2 + ΔY2 = √13 = 3.605551275464

Equation of the line:: y = -1.5x + 5.5

Number 9 answer_ y=-1.5x+5.5

Number 10::

I'm not positive of the exact answer, only thing i found was that both equations graphed the same line

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

you need to multiplau with is 12x+9-42

Answer: 22.5°

Step-by-step explanation:

Complementary angles are the angles that when we add them together, they're equal to 90°.

Let the smaller angle be represented by x.

Then, the larger one will be 3 × x = 3x

We then add both angles together and equate them to 90°. Therefore,

x + 3x = 90°

4x = 90°

x = 90/4

x = 22.5°

The smaller angle is 22.5°

Answer:

y < 1

Step-by-step explanation:

the value of y in the whole part is less than or equal to 1.

Answer:

5/12 ounces

Step-by-step explanation:

If each tube holds 1/3 oz of paint, the you multiply 1/3 by the number of tubes that she used. 1/3oz/tube(1.25 tubes)= 5/12 ounces

Answer:

14587676

Step-by-step explanation:

Answer:

1680.25

Step-by-step explanation:

Answer:

The triangles are similar by Angle-Angle-Angle similarity

both triangles vertexes are 60°, 53°, and 67°

Step-by-step explanation:

Answer:

Step-by-step explanation:

ΔCDE ,

∠C + ∠D + ∠E = 180    {angle sum property of triangle}

60 + 53 + ∠E = 180

       113 + ∠E = 180

               ∠E = 180 - 113

             ∠E =  67

ΔFGH ,

∠F + ∠H + ∠G = 180    {angle sum property of triangle}

60 +  67  + ∠G = 180

      127 + ∠G = 180

               ∠G = 180 - 127

             ∠G =  53

∠C = ∠F

∠E = ∠H

∠D = ∠G

ΔCDE ~ ΔFGH   ------ AA similarity

Answer:

Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24...

Step-by-step explanation:

Multiple of any number is a number which can be divided exactly by that number. The Multiples of a number are formed by multiplyng it with other numbers like 1,2,3,etc.

Answer:

The speed of the plane is [tex]v=1.2\: m/s[/tex]

Step-by-step explanation:

The vector (5,6) represents a point in the coordinate system time-position.

So, we have that at t = 5 s the position is x = 6.

Let's recall that the slope of this vector is the speed, then using the tangent definition:

[tex]v=\frac{x}{t}=\frac{6}{5}[/tex]

[tex]v=1.2\: m/s[/tex]

I hope it helps you!

Answer:

[tex] - x - 3[/tex]

Step-by-step explanation:

1) regroup term.

[tex] - \frac{1}{2} (8x - 4) + 3x - 5[/tex]

2) Simplify 1/2 ( 8x - 4 ) to 8x - 4/2.

[tex] - \frac{8x - 4}{2} + 3x - 5[/tex]

3) Factor out the common term 4.

[tex] - \frac{4(2x - 1)}{2} + 3x - 5[/tex]

4) Simplify 4( 2x - 1 ) / 2 to 2( 2x - 1).

[tex] - 2(2x - 1) + 3x - 5[/tex]

5) Expand by distributing terms.

[tex] - (4x - 2) + 3x - 5[/tex]

6) Remove parentheses.

[tex] - 4x + 2 + 3x - 5[/tex]

6) Collect like terms.

[tex]( - 4x + 3x) + (2 - 5)[/tex]

8) Simplify.

[tex] - x - 3[/tex]

Therefor, the answer is -x - 3.

Answer:

d.  1.5%

Step-by-step explanation:

Given - The track and field coach records Ian's 400-meter race times during three practices.

Practice        1          2           3

Time (s)         63       60        58

To find - How much greater was the percent of change from Practice 1 to Practice 2 than from Practice 2 to Practice 3? Round to the nearest tenth.

a. 7.9%

b.  4.8%

c.  3.3%

d.  1.5%

Proof -

% change from Practice 1 to Practice 2 change = [tex]\frac{60 - 63}{63}. 100[/tex]%

                                                                           = [tex]-\frac{3}{63}.100[/tex]% = - 4.761904762 %

⇒% change from Practice 1 to Practice 2 change = - 4.762 %

Now,

% change from Practice 2 to Practice 3 change = [tex]\frac{58 - 60}{60}. 100[/tex]%

                                                                           = [tex]-\frac{2}{60}.100[/tex]% = - 3.334 %

⇒% change from Practice 2 to Practice 3 change = - 3.3334 %

So,

- 4.461904762% - (- 3.3334%) = -4.461904762 + 3.3334 % = -1.4285 % ≈ 1.5%

∴ we get

Value = 1.5%

The correct option is - d.  1.5%

Answer:a) $5.64  b)  21 ounces of tea leaves

Step-by-step explanation:

Step 1

5 ounces of tea leaves can be bought with  $2.35

1 ounce of tea can be bought with =$2.35/5 =$0.47

12 ounces at the same rate  can be bought with

=12 x $0.47 = $5.64

b) 5 ounces of tea leaves can be bought with  $2.35

? Ounces of tea leaves can be bought with $10

$2.35 =5 ounces of tea

$10 = ? ounces of tea

           = (10 x  5)/2.35

           =50/2.35

=21.27 rrounded to 21 ounces of tea leaves

:)

Answer:

x=10

Step-by-step explanation:

work in the photo

Answer:

x=10

Step-by-step explanation:

Subtract 3 from both sides

2x=23-3

Simplify 23-3 to 20

2x=20

Divide both sides by 2  

x=  2 0/2

Simplify 20/2 to 10

x=10

​  

Answer:

A2 = 120

A3 = 60

A5 = 60

A6 = 120

Step-by-step explanation:

Angle 1 and 2 are supplementary, so A2 = 180 - 60, which is 120.

Angle 1 and 3 are vertical angles, which are always the same measure.

Angle 5 is alternate interior angles with 3, which means it is also 60.

Angle 6 is alternate interior angles with 4, which means it is 120.

Answer:

madision be $12

Jasmine be $24

And, the devanie be $18

Step-by-step explanation:

The computation is shown below:

Madison be x

Jasmine be 2x

Devanie be x + 6

And, the total is $54

Now the equation is

x + 2x + x + 6 = $54

4x = $48

x = $12

So madision be $12

Jasmine be $24

And, the devanie be $18

Answer:x = 8.5

Step-by-step explanation:

1. Combine like terms

62+75+9 = 146

2.Set up equation

146+4x = 180

3. Subtract 146 to each side

146-146 + 4x = 180-146 = 34

4. Divide by 4

4x/4 = 34/4

X= 8.5

Answer:

30

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

all triangles have a sum of 180 degrees. so 115+35=150

180-150= 30