Choose the solutions to the quadratic equation
x2 - 8x - 9 = 0.
-21
ex? - 8x = 9 to
-1
9
29
DONE

Answer:

Step-by-step explanation:

SOH - CAH - TOA

Since the opposite side is given and we need to find the length of the adjacent side, we can use tangent to solve for x.

[tex]tan 21=\frac{opposite}{adjacent} \\tan 21 =\frac{8}{x} \\0.384 =\frac{8}{x} \\0.384x =8 \\x=\frac{8}{0.384} \\x=20.84[/tex]

Since the opposite side is given and we need to find the length of the hypotenuse, we can use sine to solve for y.

[tex]sin 21=\frac{opposite}{hypotenuse} \\sin21 =\frac{8}{y} \\0.358 =\frac{8}{y} \\0.358y=8 \\y=\frac{8}{0.358} \\y=22.32[/tex]

Answer:

42 ft

Step-by-step explanation:

4.2/1=4.2

4.2*10=42 ft

PLS GIVE BRAINLIEST

Answer:

42

Step-by-step explanation:

1 cm=10ft on the diagram

so the only thing we have to do is multiply.

4.2x10=42 make sure your answer is in FT not CM

so for example

42ft. Units are important XD

Answer:

-log_4

Step-by-step explanation:

The value of log1/4 rounded to the nearest hundredth is -0.60

Given the parameter which is needed for our Calculation:

Using a calculator, the value of log1/4 is -0.602059

Rounding to the nearest hundredth, is two digits after the decimal point.

Hence, we have ;

Therefore, log1/4 is -0.60

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Answer:

5

Step-by-step explanation:

the points is also given on graph

(6,5)

Answer:

Step-by-step explanation:

b) x^2 - 8x + 20 is always positive because in part a, you figured out that it could also be written as (x-4)^2 + 4.

You know that (x-4)^2 is greater than or equal to 0 so by adding 4, the result will always be positive

Step-by-step explanation:

3x+6+9x-12+6x-3=180

15x-9=180

x-9=12

x=21

Answer:d

D. 9 and 46/180

Step-by-step explanation:

Answer:

Ok thank you for your efforts

Step-by-step explanation:

The answer is D 9 46/180

Answer:

C or the graph with continuous acceleration (straight line)

Step-by-step explanation:

It's the right answer on edguinity

Answer:

c

Step-by-step explanation:

Answer:

0.7142857

Step-by-step explanation:

Let wholesale price = x

Retail price = 40% Markup of wholesale price

Retail price = (100 + 40)% of x

Retail price = 140% of x

Retail price = 140/100 * x

Retail price = 1.4x

Hence,

Wholesale price / retail price

x / 1.4x

= 0.7142857

Hence, wholesale price is 0.7142857 of the retailer price

Answer:

f(0) = 0.5

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = 0.5 - 2x²

x = 0

Step 2: Evaluate

Answer:

f ( 0 ) = 0.5

Step-by-step explanation:

Step 1:

f ( x ) = 0.5 - 2x²          Function

Step 2:

x = 0          Given

Step 3:

f ( 0 ) = 0.5 - ( 2 ( 0 ) )²         Multiply

Answer:

f ( 0 ) = 0.5

Hope This Helps :)

Answer:

91%

Step-by-step explanation:

we can use combinations:

Total probabilities = 12! / (4!8!) = 479,001,600 / 967,680 = 495

Probability of no defective unit = ₁₀C₄ = 10!/4!6! = 3,628,800 / 17,280 = 210

Probability of one defective unit = ₁₀C₃ · ₂C₁ = 10!/3!7! · 2!/1! = 120 · 2 = 240

Probability of no more than one defective unit = (210 + 240) / 495 = 450 / 495 = 91%

Answer:

10^4 or 3.5

Step-by-step explanation:

Answer:

1/6 lb

Step-by-step explanation:

2/3 * 1/4 = 2/12 = 1/6

Answer:

y = -2x + 5

Step-by-step explanation:

Given:

Passes through point (1, 3)

Perpendicular to x – 2y = -8

Solve:

x – 2y = -8

y = 1/2x + 4

The slope is m = 1/2

The slope of the perpendicular line is the inverse of the slope of the original equation.

The slope of the inverse equation is m = -2.

Making an inverse equation of y = -2x + a

Find a:

Use point, (1, 3) where (x, y):

3 = (-2)*(1) + a

a = 5

y = -2x + 5

Answer:

y=½x+5

Step-by-step explanation:

Passes through, (1,3)

Perpendicular to x-2y=-8.

Step 1

write the equation in form of y=mx+c

x-2y=8

-2y=-x+8

Dividing both sides of the equation by -2 we get;

y=-x/2+8

y=-½x+8

Thus the gradient is -½. Call it M1

Recall, The product of the gradients(slopes) of perpendicular lines is -1 i.e

M1 × M2= -1

Solve for M2

-½×M2=-1.

Dividing both sides by -½ we get

M2=-1×-2

Now, use this slope(M2) with the points (1,3) to find the new equation that is perpendicular to x-2y=-8

Note: Given two points (x1,y1) and (x2,y2) the the slope would be ∆x/∆y i.e (x1-x2)/(y1-y2).

Therefore, identify new point (x,y). Use this new point with point (1,3) and the slope M2 to get the new equation.

Slope=∆x/∆y

M2=(x-1)/(y-3)

but M2 is 2

2=(x-1)/(y-3)

2/1=(x-1)/(y-3) Note: 2= 2/1

Cross multiplying we get:

2(y-3)=1(x-1)

Open the brackets

2y-6=x-1

Solve for y so as to write the equation in form of y=mx+c

2y=x-1 +6

2y=x+5

Divide both sides of the equation by 2

y=x/2+5

Answer:

Step-by-step explanation:

N sei

Answer:

C |p| = 4

Step-by-step explanation:

If a player wins 4points during each turn, then, the total points will be +4points

If the player looses 4points, total points lost will be -4points

The total number of point p the player can have will be represented as;

|p| = 4 (since is both positive and negative 4 )

Note that the nodulus of a variable will return both positive and negative value of that variable

Answer:

260?

Step-by-step explanation:

I used the equation (4)13+(16)13 and plugged it into my calculator and got 260.

The sum of 4 thirteens and 16 thirteens is 260.

What is the meaning of sum?

You add up all the numbers to arrive at the sum. When you summarise something, you pay attention to all of its crucial components. A specific sum of money can also be referred to using the word sum. You might have to spend a sizable sum of money on a new car. However, you might be able to justify spending so much if you add up or total all of its advantages. When you add up the costs of everything you ordered, the total on a restaurant bill is determined. Sum need not be restricted to numbers. When you summarise something, you're providing a summary or overarching statement about it.

Here, 4 thirteens = 4 × 13 = 52

16 thirteens = 16 × 13 = 208

Sum of 4 thirteens and 16 thirteens = 52 + 208 = 260

Hence, 260 is the correct answer.

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Answer:

For the first part

1.) Negative

2.)zero

3.) undefined

4.) positive

The point slope formula is y-y1=m(x-x1). It is best to use if you already know the slope and one other point on the line. It is used to find another point on the line.

The slope-intercept form is used to show a line. To use this form, you need to know the slope and the y-intercept.

The slope formula is y=mx+b. M is the slope while b is the y-intercept.

Answer:

-7/4

1/8

Step-by-step explanation:

1. If the problem is; (1 3/4) / (1/2 - 1 1/2)^(3)

(a). Convert to improper fractions;

(7/4) / (1/2 - 3/2)^3

(b). Simplify;

(7/4) / (-2/2)^3

(7/4) / (-1)^3

(7/4) / (-1)

-7/4

2. If the problem is; ((1 3/4) / (1/2)) - (1 1/2)^3

(a). Convert to improper fractions;

((7/4)/ (1/2)) - (3/2)^3

(b). Simplify;

((7/4)/ (1/2)) - (3/2)^3

((7/4)*(2/1)) - (27/8)

(7/2) - (27/8)

(28/8) - (27/8)

1/8

Answer:

9

Step-by-step explanation:

12 / 4 = 3

3 x 3 = 9

Answer:

-125

Step-by-step explanation:

Note: As you missed to add the graph of mentioning the complete question.

So, I am solving your concept based on an assumed graph which I have attached. It would anyways clear your concept.

Answer:

Please check the explanation!

Step-by-step explanation:

Given the attached graph below, it is clear that the right angle triangle ABC is shown.

Here are some of the information we can get from the right angle triangle ABC such as:

We have to determine the unknown side 'x' using the trigonometric ratios

As

tan Ф = opp/adjacent

From the diagram it is clear that

Ф = 30°

opp=8

adjacent = BC = x

so

tan Ф = opp/adjacent

tan 30 = 8/x

1/√3 = 8/x

x = 8×√3

x = 13.9

Therefore, the missing length will be: x = 13.9

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

slope formula: [tex]\frac{y{2}-y{1} }{x{2}-x{1}}[/tex]

x1 and y1 are (-2, -1)

x2 and y2 are (4, 3)

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

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

[tex]\frac{4}{6}[/tex]

[tex]\frac{2}{3}[/tex]

Answer:

[tex]T_{10} = 0.05078125[/tex]

[tex]S_{18} = 51.9998016358[/tex]

Step-by-step explanation:

Given:

Sequence = 26, 13, 6.5 ....

Solving (a): The 10th term

The sequence is a geometric progression and the nth term will be solved using:

[tex]T_n = ar^{n-1}[/tex]

In this case:

[tex]n = 10[/tex]

[tex]r = \frac{T_2}{T_1}[/tex] --- Common Ratio

[tex]r = \frac{13}{26}[/tex]

[tex]r = 0.5[/tex]

[tex]a = 26[/tex] --- First term

So, [tex]T_n = ar^{n-1}[/tex] becomes

[tex]T_{10} = 26 * 0.5^{10-1}[/tex]

[tex]T_{10} = 26 * 0.5^{9}[/tex]

[tex]T_{10} = 26 * 0.001953125[/tex]

[tex]T_{10} = 0.05078125[/tex]

Solving (b): The sum of first 18 terms

This will be calculated using:

[tex]S_n = \frac{a(1 - r^n)}{1 - r}[/tex]

Substitute values for n, a and r

[tex]S_{18} = \frac{26 * (1 - 0.5^{18})}{1 - 0.5}[/tex]

[tex]S_{18} = \frac{25.9999008179}{0.5}[/tex]

[tex]S_{18} = 51.9998016358[/tex]

Hence, the sum of first 18 terms is 51.9998016358

Answer:

[tex]Volume = 4.325 L[/tex]

Step-by-step explanation:

Given

[tex]Initial = 3.85L[/tex]

[tex]Additional= 0.475L[/tex]

Required

Determine the volume of the chocolate milk

Since, the mixture produces a chocolate milk, then the volume is the addition of milk in the pitcher and the chocolate syrup.

i.e.

[tex]Volume = Initial + Additional[/tex]

[tex]Volume = 3.85L + 0.475L[/tex]

[tex]Volume = 4.325 L[/tex]

Hence, there are 4.325 liters of chocolate milk in the pitcher

Answer:

C. a +2 = a - 2

Step-by-step explanation:

a + 2 = a - 2

a + 4 = a

4 = 0