5. Evaluate the quadratic function f(x) = 5(x-3)(x-2) when x = 9​

Answer:

B(x, y) = (-2, -2)

Step-by-step explanation:

Given: AB: AC (m₁: m₂) = 1 : 2, A (x₁, y₁) = (-5, 2) and B(x₂, y₂) = (4, -10)

To find: Coordinates of B (x, y)

Using section formula:

Therefore Coordinates of B (x, y) is (-2, -2).

Step-by-step explanation:

Answer:

x = 2, P = 22 cm, A = 21 cm²

Step-by-step explanation:

The 2 legs of the triangle are congruent , then

6x - 4 = 8 ( add 4 to both sides )

6x = 12 ( divide both sides by 6 )

x = 2

perimeter = 8 + 8 + 6 = 22 cm

Area = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here b = 6 and h = 7 , then

A = [tex]\frac{1}{2}[/tex] × 6 × 7 = 3 × 7 = 21 cm²

Answer:

x = 2

Perimeter = 22 cm

Area = 21 cm²

Step-by-step explanation:

=> We know that the 2 side lengths of the given triangle are congruent, because of the congruency mark theorems, therefore to solve for x first, we can say;

6x - 4 = 8

6x = 8 + 4

6x = 12

x = 12/6

x = 2

Now that we know the side lengths of the triangles are 8, 8 and 6, we can find the perimeter;

Side 1 + Side 2 + Side 3 = Perimeter

8 + 8 + 6 = Perimeter

22 = Perimeter

Lastly to find the Area of the triangle, follow the formula of;

A = 1/2 (b * h)

A = 1/2 (6 * 7)

A = 1/2 (42)

Area = 21

Hope this helps!

Answer:

Er you just multiply by 9.

Step-by-step explanation:

1*9 = 9

3*9=27

1*9=9

27*9=243

The answer:

x: 9

y: 81, 3

x*3

y/3

Answer:

Hello! answer: 432

Step-by-step explanation:

12 × 8 = 96

12 × 8 = 96

12 × 6 = 72

12 × 6 = 72

8 × 6 = 48

8 × 6 = 48

Then you add them all up so...

96 + 96 + 72 + 72 + 48 + 48 = 432 therefore the surface area is 432 hope that helps!

Answer:

Two Complementary

Step-by-step explanation:

Answer:

32 $

Step-by-step explanation:

Answer:

Sine of C=?

Among the given options which is the correct one.

Step-by-step explanation:

Consider a right-angle triangle ABC.

[tex]angle B=90^{0}[/tex]

In a right angle triangle, one angle [tex]90^{o}[/tex].

The sum of all the angles is [tex]180^{o}[/tex].

[tex]angle A +angle B+angleC=180^{0}angleA+90^{0} +angle C=180^{0}\\angleA+angleC=180^{0} -90^{0} \\angleA+angleC=90^{0} \\angleA=90^{0} -angle C[/tex]

Consider the trigonometric ratios and use the traingle ABC.

[tex]SinC=\frac{AB}{AC}[/tex]

[tex]CosA=\frac{AB}{AC}[/tex]

[tex]angleA=angle(90-C)\\Hence,\\SinC=Cos(90-C)[/tex]

Answer:

OptionF).[tex]Sine of C=Cos(90^{0} -C)[/tex]

Answer:

The answer is 36. Say 42 + 42 is 84. Since one of the number is 6 more than the other, add 6 the first 42 and subtract 6 from the other number which will be 48 + 36 = 84. So the smaller of the two is 36.

Step-by-step explanation:

Answer:

0.6858 meters

Step-by-step explanation:

Answer:

6.3 is closest to the square root of 48

I bet you!

Answer:

6.9

Step-by-step explanation:

[tex]\sqrt{48}[/tex] =6.92820323

So, the closest is 6.9

Answer:

x ≥5  or  5 ≤x

Step-by-step explanation:

2x ≤ 5x - 15

Subtract 5x from each side

2x-5x ≤ -15

-3x ≤-15

Divide each side by -3, remembering to flip the inequality

-3x/-3 ≥ -15/-3

x ≥5

Check x=10

2*10 ≤5*10 -15

20 ≤50 -15

20 ≤35

True

Answer:

[tex]\frac{3x^{4}+10x^{2} }{5}[/tex]

Step-by-step explanation:

[tex]2x^{2} + x^{3}(\frac{6x}{10} )[/tex]

[tex]2x^{2} + x^{3}(\frac{3x}{5} )[/tex]

[tex]2x^{2} + \frac{3xx^{3}}{5}[/tex]

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

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

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

[tex]\frac{10x^{2} +3x^{4}}{5}[/tex]

[tex]\frac{3x^{4}+10x^{2} }{5}[/tex]

Answer:

x = 12.1532°

General Formulas and Concepts:

Trigonometry

Step-by-step explanation:

Step 1: Define

Identify variables

Angle θ = x

Opposite Leg = 4

Hypotenuse = 19

Step 2: Solve for x

Answer:

38

Step-by-step explanation:

Answers:

You may need to leave off the "square units" portion.

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

Explanation:

For now, ignore the smaller rectangle and its dimensions. The larger rectangle has sides 3x and x+5, which I'll call the length and width.

L = 3x

W = x+5

The perimeter of any rectangle is P = 2(L+W). Plug in those values of L and W, and also the given perimeter P = 66. Isolate x.

P = 2(L+W)

2(L+W) = P

2(3x+x+5) = 66

2(4x+5) = 66

8x+10 = 66

8x = 66-10

8x = 56

x = 56/8

x = 7

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

Now that we know x, we can find the area of the rectangles.

As you probably can guess, the shaded region is the difference of the two areas.

A = area of larger rectangle

A = (length)*(width)

A = (3x)*(x+5)

A = (3*7)*(7+5)

A = 252

B = area of smaller rectangle

B = (x+3)*(x+2)

B = (7+3)*(7+2)

B = 90

C = area of shaded region

C = A - B

C = 252 - 90

C = 162 square units is the area of the shaded region.

Answer:

y = 3x + 1.

Step-by-step explanation:

The slope is 3 and the y-intercept is at y = 1.

Answer:

y = 3x + b

Step-by-step explanation:

Essentially the question is asking us to find the equation of the line in slope intercept form

Slope intercept form: y = mx + b

Where m = slope and y = y intercept

First let's find the slope

Slope = change in y over change in x

Looking at the line as y goes up 3 x goes up 1

hence slope (m) = 3/1 or just 3

Now let's find the y intercept

The y intercept is equal to the y value of the point where the line passes the y axis

The line passes the y axis at ( 0 , 1 ) and the y value of that point is 1

Hence, y intercept (.b ) = 1

Finally we substitute 3 for m and 1.for b in y = mx + b to get the equation of the line

We get y = 3x + 1.

Answer:

Option "D" is the correct answer to the following question.

Step-by-step explanation:

Given:

Length of painting = 25 inch

Height of painting = 16 inch

Width of frame = w inch

Find:

Area of Picture with frame

Computation:

New length of painting = 25 + w + w

New length of painting = 25 + 2w inch

New height of painting = 16 + w + w

New height of painting = 16 + 2w

Area = l x b

So,

Area of Picture with frame = [25 + 2w][16 + 2w]

Area of Picture with frame = 400 + 50w + 32w + 4w²

Area of Picture with frame = 4w² + 82w + 400

Answer:

Cost Price = $1800

Step-by-step explanation:

Let cost price (CP) be x

Selling price(SP) = 1998

Profit = Selling price - cost price = 1998 - x

  [tex]profit \% = \frac{SP - CP}{CP}[/tex]

       [tex]\frac{11}{100} = \frac{1998-x}{x}[/tex]

     [tex]0.11 = \frac{1998}{x} - 1\\\\1 + 0.11 = \frac{1988}{x}\\\\1.11 = \frac{1998}{x}\\\\x = \frac{1998}{1.11} = 1800[/tex]

Answer:

3.4 × 10^6

Step-by-step explanation:

Answer:

the following is a proper fraction

4/5

Answer:

4/5 is correct answer as numerator is smaller than denominator

Answer:

B and D are correct

Step-by-step explanation:

Imagine if c, b, and k were equal to 5.  Then, multiply to figure out how much Mia earned.  Solve the rest of the equations while still using 5 in place of the variables.  If they are the same as your first answer, it is right

Answer:

x = log 7

Step-by-step explanation:

10^x=7

Take the log base 10 on each side

log10 (10^x)=log10 (7)

We dont need to write the 10, it is implied

log(10^x)=log (7)

The exponent  goes out front since log a^b = b log a

x log 10 = log 7

log 10 = 1 since the base is 10 log10(10) =1

x = log 7

Answer:

Answer:

21

Step-by-step explanation:

Given that :

Number of rooms = 3

Variants of paint available = 7

Since the rooms will be painted with different colors :

Hence,

Number of possible paintings for kitchen = 7 (7 different paints)

This also applies to the other 2 rooms

Hence,

We have 3 * 7 = 21 color arrangements possible.

Answer:

B. ∠EYL and ∠AYS

D. ∠SYL and ∠EYA

Step-by-step explanation:

A vertical angles are the pair of angles on the opposite sides of intersecting lines

In the given figure, the pair of intersecting lines are;

Line AYL and line SYE

The vertical angles formed by the lines [tex]\overline{AYL}[/tex] and [tex]\overline {SYE}[/tex] are;

From East to West (left to right direction) angles ∠EYL and ∠AYS

From the direction of 'H' ∠SYL and ∠EYA

Therefore, the correct options are;

B. ∠EYL and ∠AYS and D. ∠SYL and ∠EYA.

Answer:

it would be 17 if you round the answer or 17.69.

Answer:

Step-by-step explanation:

Hope this helps u!!

Answer:

15. A. Communtative

18. A. (n . 60) + (n . 5)

Step-by-step explanation:

15. Commutative property states that, if the order of positions of number is changed while performing addition or multiplication, the result remains unchanged.

18. n.65 = (n.60) + (n.5)