- - Use the Quadratic Formula to solve the equation x2 – 2x = -9.​

Answer:

D. 48 feet

Step-by-step explanation:

Ladder (50 ft) = hypotenuse

Floor distance (14 ft) = b

Wall (unknown) = a

[tex]a^2+b^2=c^2[/tex]

[tex]a^2+14^2=50^2[/tex]

[tex]a^2+196=2500[/tex]

[tex]a^2=2500-196[/tex]

[tex]a=\sqrt{2304}[/tex]

[tex]a=48[/tex]

Hope this helps!

Answer:

48 feet

Step-by-step explanation:

Here,

c = 50 ft

b = 14 ft

To find : the height of the wall that the ladder reaches ( a ) = ?

Formula : -

a² + b² = c²

a² = c² - b²

= 50² - 14²

= ( 50 x 50 ) - ( 14 x 14 )

= 2500 - 196

= 2304

= 48 x 48

a² = 48²

a = 48 feet

Answer:

One pound of zucchini equals about 4 cups grated zucchini;

Step-by-step explanation:

2 cups of salted and squeezed zucchini; about 1 cup mashed zucchini; and 3 cups chunked zucchini.

Answer:

18.3% x 238 megabytes

0.183 x 238 = 43.554 megabytes = 43.6 megabytes (rounded to the nearest tenth) or 43.55 (rounded to the nearest hundredth).

Step-by-step explanation:

Answer:

47.6 euros

Step-by-step explanation:

68 x .70 = 47.6

.70 = 70%

70% of 68

of means multiply

You turn the percent into a decimal and multiply

Answer:

look at the picture i have attached and tell me what you think???

Step-by-step explanation:

parallel is two lines that go like this \\ or like this =

perpendicular is two lines that go like this +

which is it?

Answer:

they are parallel as gradient is the same because in first equation coefficient of x is -2 and in second equation after rearranging equation in form of y= mx + c, m is -2

Answer:

8+88+16x

4=x

Step-by-step explanation:

just reverse it lol

Answer:

x is less or equal to 30

the last Choice is correct.

Answer:

Last option D.

Step-by-step explanation:

IF it can be no more than 30, the 4th one says it can be equal to 30 or less than thirty.

Probability and statistics are two branches of mathematics that are used to calculate the possibility of occurrence of an event or trend of data.

Probability is a term to refer to the science that studies the measurement of the certainty of occurrence of an event. Generally, the probability of occurrence is associated with a value between 0 and 1, where an impossible event corresponds to zero and a certain event corresponds to one.

Statistics is a term to refer to a branch of mathematics that studies different phenomena related to data such as:

Another outstanding aspect of statistics is that it is a formal deductive science framed in the formal scientific method.

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Answer:

So it would be around 3.

Step-by-step explanation:

[tex]\sqrt{10}[/tex]= 3.16227766017

It looks like your question is incomplete. I believe you also have options to pick which graph is correct. However, I can still give you the information you are looking for.

The slope of the line is -1.2

The Y-intersect is (0, 4)

I have also attached an image of what the graph would look like.

Hope this helps.

If Aja was approved for a $185,000 mortgage is true Aja's closing costs are between $3,700 and $12,950.

This is the amount of money paid for the mortgage settlement or closing.

The closing costs are equal to 2-7% of the cost of the loan.

185,000 x 0.02 = $3700 (2%)

185,000 x 0.07 = $12,950 (7%)

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Answer:

In 2009

Step-by-step explanation:

If the wren population is going down by 40% each year, that means the following year's population is just 60% of what was in the previous year. This means that what we have to do is multiply the previous year's number by 0.6 to get the current year's population. If we take the data from 2004 as 100%, we have the following numbers:

2004 = 100%

2005 = 60 % (100 * .6)

2006 = 36 % (60 * .6)

2007 = 21.6 % (36 * .6)

2008 = 12.96 % (21.6 * .6)

2009 = 7.776% (12.96 * .6)

This means that 2009 will show that the wren population is less than 10% (7.776%) than what it was in the year 2004.

I hope this helps! :D

Answer:

2009

Step-by-step explanation:

On June 1, 2004 we can say that there were 100% of the wrens.

If the number decreases by 40% each year, then each year there will be 60% of the previous years number.  To find 60%, multiply by 0.6 (since 60% = 60/100 = 0.6)

June 1, 2004 = 100%

June 1, 2005 = 100% x 0.6 = 60%

June 1, 2006 = 60% x 0.6 = 36%

June 1, 2007 = 36% x 0.6 = 21.6%

June 1, 2008 = 21.6% x 0.6 = 12.96%

June 1, 2009 = 12.96% x 0.6 = 7.776%

Therefore, the census shows that the number of wrens is less than 10% in the year 2009.

Answer:

step by step explanation

please see photo

Algebra 1 Answer Key. ITEM 98. Find the equation that is equivalent to the quadratic equation shown. x2 – 8x – 8 = 0. A. x(x – 4) = 32. B. (x – 8)2 = 64.

The balance point of the dataset is the mean of the dataset

The balance point of the dataset is 20

From the dataset, we have the following frequency table

Data (x)     Frequency (f)

15                    2

24                   1

26                  1

The balance point of the dataset is the mean value of the dataset, and the mean is calculated as:

[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]

This gives

[tex]\bar x = \frac{15 * 2 + 24 * 1 + 26 *1}{2 +1+1}[/tex]

Evaluate the sum

[tex]\bar x = \frac{80}{4}[/tex]

Evaluate the quotient

[tex]\bar x = 20[/tex]

Hence, the balance point of the dataset is 20

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Answer:

d

Step-by-step explanation:

The explicit rule for this sequence in simplified form is,

⇒ [tex]a_{n}[/tex] = 500n + 30,000

Where, n is number of months.

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

Mr. Red's first year salary is $30,000 and it increases by $500 each year.

Now, Let number of months = n

We can formulate explicit rule for this sequence in simplified form as,

⇒ [tex]a_{n}[/tex] = 500n + 30,000

Therefore, The explicit rule for this sequence in simplified form is,

⇒ [tex]a_{n}[/tex] = 500n + 30,000

Where, n is number of months.

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Answer:

7m

Step-by-step explanation:

product means multiplication

7×m = 7m

Answer: 24%

Step-by-step explanation:

for these problems you can use this equation: [tex]\frac{x}{n} *100=p[/tex]

where x=given quantity, n=total amount, and p is your answer.

for this problem x=18 (regular sodas)

we add the amount of regular and diet sodas to get n=75 (18+57)

when we plug it in we have [tex]\frac{18}{75} *100[/tex] which gives us our answer, p, 24%

hope this helped ♡

Answer: 4

Step-by-step explanation:

4 times 2 is 8 if you make 4 eighths you will get 1/4 a

Answer:

381 feet cubed

Step-by-step explanation:

You need to divide the shape into 2.

I would divide the shape so that 8.5ft, 6ft, and 3ft are one.

Now do Length times Width times Height for the first one.

8.5 ft x 6 ft x 3 ft = volume for shape 1

The volume for shape 1 is 153 feet cubed

Now onto the second one.

Since you divide the other shape to have 8.5 feet the measurements are:

4ft, 9.5ft, and 6ft.

Do the formula lwh.

4ft x 9.5ft x 6ft = volume for shape 2

The volume for shape 2 is 228 feet cubed

Finally, you have to add shapes 1 and 2 due to the fact it's a composite figure.

153ft + 228ft = 381ft cubed

Answer:

15 unit that is the answer

Step-by-step explanation:

hope it is help you

The length of the line segment BC is 15 units

In order to determine the length of BC, we will use the Pythagoras theorem as shown;

AB² = AC² + BC²

Substitute the given parameters

17² = 8² + BC²

BC² = 289 - 64

BC² = 225

BC=. 15 units

Hence the length of the line segment BC is 15 units

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Answer:

62.25=35+3x

62.25-35=27.25

27.25=3x

divide both sides by 3

x=9.08 or just 9

Answer: 800

Step-by-step explanation:

Based on the rate at which all three computers process bills, the time taken for the computers to process 1,780 bills is 4 minutes.

First find the number of bills left when the third computer joined:

= 1,780 - (160 x 1.5 mins) - (160 x 1.5 mins)

= 1,300

Then the average speed of all three computers is:

= 160 + 160 + 200

= 520 bills per minute

The time taken to finish up the other bills would be:

= 1,300 / 520

= 2.5 minutes

Add this to the minutes already elapsed before the third computer was used:

= 2.5 + 1.5

= 4 minutes

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Answer:

Option a!

Step-by-step explanation:

inverse means opposite:

First part of the statement:

If I studied for it

(opposite)

If I did not study for it

Second:

I did well on the exam

(opposite)

I did not do well on the exam

Hope this makes sense.

- profparis

Given that points Q, R, S lies between O and P meaning that the points are between 0 and 3

Draw a number line and find three equal points

so points:

Answer:

[tex]\sf Q=\dfrac34, \ R=\dfrac32, \ S=\dfrac94[/tex]

Step-by-step explanation:

Given information:

Therefore, there are 4 segments of equal distance between points O and P.    

Length of OP = 3 - 0 = 3

⇒ Length of each segment = 3/4

To find the point of Q, R and S, add 3/4 to each point:

   Point O = 0

⇒ Point Q = 0 + 3/4 = 3/4

⇒ Point R = 3/4 + 3/4 = 3/2

⇒ Point S = 3/2 + 3/4 = 9/4

   Point P = 9/4 + 3/4 = 3

Therefore,

[tex]\sf Q=\dfrac34, \ R=\dfrac32, \ S=\dfrac94[/tex]

Answer:

Step-by-step explanation:

y + 47° = 90°  {Complementary angles}

        y = 90° - 47°

        y = 43°

x = y   {Vertically opposite angles}

x = 43°

Answer:

x = 43°

Step-by-step explanation:

Substract 47° from both sides

since X and y are vertically opposite angles

Answer:

not sure about the equation or answer