Find the distance between the two points.
(-3,3)
(-1,-1)
✓ [?]
Enter the number that
goes beneath the
radical symbol.

Answer:

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

A. rectangle

B. square

C. parallelogram

D. trapezoid

Answer:

9kg

Step-by-step explanation:

Because it is said that Polly's mass is 3kg but, Barney's mass is 3 times more kg than Polly.

So we multiply 3 (Polly's mass) multiplied by 3(cuz it is said three times more). So 3*3 = 9kg

26. The length FE in the circle is 6 units

27. The arc AE has a measure of 64 degrees

From the question, we have the following parameters that can be used in our computation:

The circle

Given that the lengths from the center to either chords are equal

This means that

FE = 6 units

For the other circle, we have

BC = 58 degrees

AB = ED

The arc AE is calculated as

AE = 180 - BC - ED

Where

AB = ED = BC = 58 degrees

So, we have

AE = 180 - 58 - 58

Evaluate

AE = 64

Hence, the arc AE is 64 degrees

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Projectile B begins its descent 1 seconds before Projectile A does.

In Mathematics and Geometry, the y-intercept of any graph or table such as a quadratic equation or function, generally occurs at the point where the value of "x" is equal to zero (x = 0).

By critically observing the table shown in the image attached above, we can reasonably infer and logically deduce the following y-intercept of Projectile A:

y-intercept = (0, 44).

Maximum height = (4, 300).

When t = 0, the y-intercept of Projectile B can be calculated as follows;

h(t) = -16t² + 96t

h(0) = -16(0)² + 96(0)

h(0) = 0.

For the maximum height, we have:

h(t) = -16t² + 96t

h'(t) = -32t + 96

32t = 96

t = 96/32

t = 3

Difference in time = 4 - 3

Difference in time = 1 seconds.

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Answer:

10 miles

Step-by-step explanation:

Answer:

50 miles

Step-by-step explanation:

\(a^{2}\) + \(b^{2}\) = \(c^{2}\)

\(30^{2}\) + \(40^{2}\) = \(c^{2}\)

900 + 1600 = \(c^{2}\)

2500 = \(c^{2}\)

\(\sqrt{2500}\) = \(\sqrt{c^{2} }\)

50 = c

The given expression expressed in the form (x+A)^2+B is (x - 6)² + 65

A = -6 and B = 65

From the question, we are to express the given expression in the form (x + A)^2+B by completing the square

The given expression is

x² -12x + 101

Using the completing the square method

x² -12x + 101

Divide the coefficient of x by 2 and then square it

The coefficient of x is -12

Dividing by 2, we get

-12/2 = -6

Squaring

(-6)²

Now, add and subtract this value from the expression

x² -12x + (-6)² + 101 - (-6)²

Then, we can write that

(x - 6)² + 101 - (-6)²

(x - 6)² + 101 - 36

(x - 6)² + 65

Thus,

The given expression expressed in the form (x+A)^2+B is (x - 6)² + 65

By comparison,

A = -6

and

B = 65

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The equivalent ratios are 8: 6 and 12:9.    

Two ratios are equivalent if they represent the same proportion or relative size. To find an equivalent ratio, we can multiply both terms of the ratio by the same non-zero number. This doesn't change the condition between the two terms.  

Here we have 4:3

To find equivalent ratios, we can multiply both terms by the same number.

Multiplying by 2

=> 4 × 2 : 3 × 2

=> 8 : 6

Multiplying by 3

=> 4 × 3 : 3 × 3

=> 12: 9

Therefore,

The equivalent ratios are 8: 6 and 12:9.    

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Complete Question

What is the equivalent ratio for 4: 3

Calculating interest on the principal borrowed as well as any prior interest. $6,000 for six years at a daily compounded rate is None of these. No option is correct. The amount is $991.15.

Annual interest compounding adjective finance. If you borrow $100,000 at 5% interest compounded annually, you would owe $5,250 after the first year on a principal of $105,000. This method involves calculating and adding interest to an investment or loan once a year rather than for a longer period.

The formula to determine how much an investment will grow to overtime when it is placed in an account for years during which it generates dollar-compound interest is:

A = P(1 +r/m) m t

The values for each of these variables are provided as follows, presuming that a year has 365 days: m =365 t=6r  8.5% = 0.085The investment's worth is then computed after six years, as illustrated below.

A =991.15

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The factors of the given polynomial is 3(x-2)(x+b). Therefore, option C is the correct answer.

The given polynomial expression is 3x² + 3bx - 6x - 6b.

The factors are the polynomials which are multiplied to produce the original polynomial.

The factors of given polynomial can be find using grouping method, that is

(3x² + 3bx) - 6x - 6b

=3x(x+b)-6(x+b)

=(x+b)(3x-6)

=3(x-2)(x+b)

The factors of the given polynomial is 3(x-2)(x+b). Therefore, option C is the correct answer.

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The students need to earn $182 per month in order to accomplish their goals.

Division is the process of dividing a number by a given number.

Given that, the total cost for the class to go to the observatory is $910 and the students need money in 5 months.

To collect $910 in 5 months, students must earn $910/5 per month.

910/5

= 182

Hence, the students need to earn $182 per month in order to accomplish their goals.

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Answer:

equation: 4x + 4 = 40

x = 9

Step-by-step explanation:

Given information:

• The perimeter of a square = 40

• Each side = x + 1

A square has 4 sides, and since each of the side lengths = x + 1, the perimeter is equal to 4(x + 1).

So, the perimeter is equal to 4x + 4, which is also equal to 40.

The equation that can be made to solve for x  is 4x + 4 = 40.

Now, to solve the equation:

4x + 4 = 40     Subtract both sides by 4 to isolate the variable.

4x = 36           Divide both sides by 4 to get the value of x.

x = 9

The value of x in this equation is x = 9.

The percent of the bags of chips weigh less than 176 grams is b 16%

From the question, we have the following parameters that can be used in our computation:

Mean = 180

Standard deviation = 4

Bags of chips weigh less than 176 grams

This means that

x = 176

So, the z-score is

z = (176 - 180)/4

Evaluate

z = -1

The percent of the bags of chips weigh less than 176 grams is represented as

P = P(z < -1)

Using a graphing calculator, we have

Percentage = 0.15866

So, we have

Percentage = 16%

Hence , the percentage is 16%

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The Angles (4x + 7)° and [5(x - 4)]° are pair of vertical opposite angles, whicg are equal .

therefore,

The value of x in the given expression of angles will be 27.

When two lines cross at a point, vertical angles are created. They are always on an equal footing. In other words, four angles are created anytime two lines cross or intersect. It is evident that two opposed angles are equal and are referred to as vertical angles.

Given that the two angles formed by the two intersecting lines are ( 4x + 7 ) and ( 5 ( x - 4 ). The value of x will be calculated as:-

The two angles are vertically opposite angles so they will be equal to each other.

( 4x + 7 ) =  ( 5 ( x - 4 )

4x + 7 = 5x - 20

5x - 4x = 20 + 7

x = 27

Therefore, the value of x in the given expression of angles will be 27.

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Solving a system of equations, we conclude that 35 tickets for movie a were sold

Let's define the variables:

Here we know that a total of 47 tickets were sold, then:

x + y = 47

And they sold for a total of $200, then:

x*$4 + y*$5 = $200

So we have a system of equations:

x + y = 47

x*$4 + y*$5 = $200

We want to solve this for x, then we need to isolate the variable y in one of the equations, doing that in the first one we get:

y = 47 - x

Now we can replace that in the other equation to get:

x*$4 + (47 - x)*$5 = $200

x*$4 + $235 - x*$5 = $200

$235 - x*$1 = $200

$235 - $200 = x*$1

$35 = x*$1

$35/$1 = x = 35

This means that 35 tickets for the movie a were sold.

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The missing number in the expression (5 x 7) + (n x 4) = 5 x (7+ 4) is 5.

The GCF of two or more than two numbers is the highest number that divides the given two numbers completely.

We also know that distributive property states a(b + c) = ab + ac.

Given, An expression (5 × 7) + (n × 4) = 5 × (7 + 4).

Now, If we expand the RHS we have,

5×(7 + 4).

= (5 × 7) + (5 × 4).

Now, Writing the obtained RHS with LHS we have,

(5 × 7) + (n × 4) =  (5 × 7) + (5 × 4).

So, The missing number is 5.

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Answer:

Slope of the line through the pair of  points:  (6,7) and (-3,5) is \(\mathbf{-\frac{2}{3}}\)

Step-by-step explanation:

Find me shape of the line through the pair of

points:

1) (6,7) and (-3,5)

(Note: Correction. I assume there is spelling mistake and you need to find slope of line and not shape)

The slope of line can be found using formula: \(Slope=\frac{y_2-y_1}{x_2-x_1}\)

We are given points (6,7) and (-3,5)

We can write: x_1=6, y_1=7, x_2=-2, y_2=5

Now, putting values in the formula and finding slope

\(Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{5-7}{-3-(-6)}\\Slope=\frac{5-7}{-3+6}\\Slope=\frac{-2}{3}\)

So, the slope is \(-\frac{2}{3}\)

Therefore, Slope of the line through the pair of  points:  (6,7) and (-3,5) is \(\mathbf{-\frac{2}{3}}\)

You have the following equation for model the amount of money raised by selling concessions related to the number of fans:

y = 5.2x - 20

The previous equation has the form of a line y =mx + b, where m is the unit rate of change and b a constant value.

The first sentence is true because in the given situation m = 5.2 and it is the unit rate of change.

The second sentence is false because the constant -20 is independent of the number of fans.

The third sentence is true because if no fans are attended, then x=0 and

y = 5.2*0 - 20

y = -20

that is, there is a loss of money.

Answer:

......______.......

....._______..........

to get the LCD we should start by doing a quick prime factoring of each denominator, as you see in the picture below.

the factors in red are the common factors to all values, and they are used in the LCD only once, the other not common factors in blue, they're used in the LCD.

There are a total of 3 forwards on the team.

A fraction represents a part of the whole or group of objects.In a fraction, numerator and denominator are separated by a horizontal bar known as the fractional bar

Given:

2/8 of the players are forwards.

Total number of players on the team = 12

We will determine the total number of forwards on the team by multiplying the total number of players by the fraction representing the forwards.

Fraction representing the forwards:

= 2/8

= 1/4

Total forwards on the team:

= 12 * (1/4)

= 3.

Translated question:

Of the 12 players on the team, 2/8 are forwards. What are the total forward in the team?

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Answer:

Step-by-step explanation:

Pick 2 points then calculate the rise over run to get the slope.

Say (2,4) & (5,5)

The rise (y) value is +1. The run (x) is +3.

Putting the rise OVER the run gets you

1/3.

The slope is 1/3.

Answer:

The freezing point of water at a pressure of one atmosphere is 0°C (32°F); that of liquid nitrogen is -209.89°C (-345.8°F).

The number of each type of ad that the department can run each month are:

TV Ads = 32

Radio Ads = 12

News Ads =  20

x = number of tv ads

y = number of radio ads

z = number of news ads

Two formulas are indicated.

x + y + z = 64

1000x + 200y + 600z = 46400

they want as many tv ads as radio and news ads combined.

equation for that is x = y + z

since x = y + z, replace x with y + z in both equations to get;

y + z + y + z = 64

1000 * (y + z) + 200 * y + 600 * z = 46400

combine like terms and simplify to get:

2y + 2z = 64

1000y + 1000z + 200y + 600z = 46400

combine like terms again to get:

2y + 2z = 64

1200y + 1600z = 46400

Solving simultaneously gives:

y = 12

z = 20

Thus:

x = 12 + 20

x = 32

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Answer:

twenty three million ninety six thousand one hundered fourty five

Step-by-step explanation:

not needed

Kiet will make his another observation at every multiples of 6 until it reaches at 60 which is at 2 : 00 pm.

Given that,

Kiet needs to observe a science experiment every 6 minutes for one hour.

He makes his first observation at 1:00 p.m.

Now he needs to make the observation every 6 minutes.

This means that his second observation will be at 1:06 pm.

Third observation will be at 1:12 pm.

Fourth will be at 1:18 pm.

It goes on like this for every multiples of 6.

His last observation will be at 2:00 pm which is at the 60th minute after 1.

Hence Kiet will make his observations at every multiples of 6 until it reaches 60.

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Answer:

x = - \(\frac{3}{4}\) , x = 1

Step-by-step explanation:

4x² = x + 3 ← subtract x + 3 from both sides

4x² - x - 3 = 0 ← in standard form

consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 4 × - 3 = - 12 and sum = - 1

the factors are - 4 and + 3

use these factors to split the x- term

4x² - 4x + 3x - 3 = 0 ( factor the first/second and third/fourth terms )

4x(x - 1) + 3(x - 1) = 0 ← factor out (x - 1) from each term

(x - 1)(4x + 3) = 0 ← in factored form

equate each factor to zero and solve for x

4x + 3 = 0 ( subtract 3 from each side )

4x = - 3 ( divide both sides by 4 )

x = - \(\frac{3}{4}\)

x - 1 = 0 ( add 1 to both sides )

x = 1

solutions are x = - \(\frac{3}{4}\) , x = 1

To find the limit of a convergent sequence, we can simply take the limit as n approaches infinity. Let's calculate the limits for each of the given sequences:

A. \(\sf\:\lim_{n \to \infty} \frac{5n}{n+7} \\\)

To find the limit, we divide the leading terms by n:

\(\sf\:\lim_{n \to \infty} \frac{5n/n}{(n+7)/n} = \frac{5}{1} = 5 \\\)

Therefore, the limit of the sequence A is 5.

B. \(\sf\:\lim_{n \to \infty} \frac{4-7n}{8+n} \\\)

Again, divide the leading terms by n:

\(\sf\:\lim_{n \to \infty} \frac{4/n - 7}{8/n + 1} = \frac{0 - 7}{0 + 1} = -7 \\\)

So, the limit of sequence B is -7.

C. \(\sf:\lim_{n \to \infty} \frac{8n - 500\sqrt{n}}{2n + 800\sqrt{n}} \\\)

Divide the leading terms by n:

\(\sf\:\lim_{n \to \infty} \frac{8 - 500\sqrt{n}/n}{2 + 800\sqrt{n}/n} \\\)

As n approaches infinity, the terms involving \(\sf\:\sqrt{n}/n \\\) tend to 0:

\(\sf\:\lim_{n \to \infty} \frac{8 - 500(0)}{2 + 800(0)} = \frac{8}{2} = 4 \\\)

Therefore, the limit of sequence C is 4.

To summarize:

A. The limit of sequence A is 5.

B. The limit of sequence B is -7.

C. The limit of sequence C is 4.

Answer:

13

Step-by-step explanation:

16/1 -3/1 = 16-3

= 13answer is unknow no.

Answer:

\(x = \frac{\sqrt{70} }{10}, - \frac{\sqrt{70} }{10}\)

Answer:

Time: 40 miles per hour

Distance: 1.5 minutes per mile

Step-by-step explanation:

The unit rates above are for the unit distance and unit time meaning, per mile or per hour.

To find the per hour, we have to make the 3 hours a hour, which we can do by dividing by 3. We also have to do that to the 120 miles. 120 miles divided by 3 is 40 miles. So the unit rate for time is 40 miles per hour.

To find the per mile, we have to make the 120 miles a one mile, which we can do by dividing by 120. We also have to do that to the 3 hours, which is equal to 180 minutes. 180 minutes divided by 120 is 1.5 minutes per mile.