A football team must move the ball forward at least 10 yards from its starting point to make a first down if the team has 2 losses of 2 yards each and a gain of 12 yards does the tean make a first touchdown justify your answer

to get the equation of any straight line, we simply need two points off of it, let's use those points from the picture below.

[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{4}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{4}-\stackrel{y1}{(-2)}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{1}}} \implies \cfrac{4 +2}{3 -1} \implies \cfrac{ 6 }{ 2 }\implies 3[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-2)}=\stackrel{m}{3}(x-\stackrel{x_1}{1}) \implies y +2= 3 (x -1) \\\\\\ y+2=3x-3\implies {\LARGE \begin{array}{llll} y=3x\underset{(0~~,~~-5)}{\stackrel{\stackrel{y-intercept}{\downarrow }}{-5}} \end{array}}[/tex]

Answer:

1.48

Step-by-step explanation:

first find the half of 3 and then minus 2

Answer:

1.48 meters

Step-by-step explanation:

3.00-1.52= 1.48m

Answer: 462,864

Step-by-step explanation:

[tex]9614 \\x\\8\\\\\\=\\77144\\\\9643\\x\\4\\38572\\\\77144+38572 = 77144[/tex]

Using the given bar graph, it is found that 1675 calories per day are needed by females between 9 and 13 years old, with this lifestyle.

A bar graph shows the number of times that each observation appears in the data-set.

From the bar graph in this problem, the number of calories needed for females given the age is as follows:

Hence, 1675 calories per day are needed by females between 9 and 13 years old, with this lifestyle.

More can be learned about bar graphs at brainly.com/question/1417364

#SPJ1

Answer:

Suppose there are 1000 lockers in a school hallway and they are all closed. Only 50 students

come through the hallway and start opening and closing the lockers. The first student opened all

the lockers. The second student closed every second locker and so forth. The Third student

changes the state of every 3rd locker. The fourth student changes the state of every 4th locker,

the fifth student changes the state of every 5th locker and so on, until the 50th student.

a. What is the state of the following locker numbers: #91, #1505, #625, #1000?

i. How do you know? (please show how you know)

Step-by-step explanation:

x(x-4)(x+1) is a 3 degree polynomial in factored form with zeros 0,4 and -1

Just take each zero and change its sign, then stick an x in front of it to get the 3 factors

(x-0)(x-4)(x- -1) = x(x-4)(x+1)

= x(x^2-3x-4)

= f(x) = x^3 -3x^2 -4x

f(0) = 0

f(4) = 64-3(16)-4(4) = 0

f(-1) = -1 -3(-1)^2 -4(-1) = 0

graph the polynomial and it intersects the x axis in 3 places, the origin (0,0), (4,0) and (-1,0)

After the conversion of the given decimal number, the binary number is (1001001110100.11001101)₂.

For the decimal number 4724.80345, the binary number is (1001001110100.11001101)₂.

(Refer to the table given below for working)

Therefore, after the conversion of the given decimal number, the binary number is (1001001110100.11001101)₂.

Know more about binary numbers here:

https://brainly.com/question/16612919

#SPJ9

The correct question is given below:

Convert 4724.80345 base ten to a binary number.

The ladder needs to be 34.3m long from tree you to get to get the cat.

We must determine the hypotenuse in this right triangle, which is the side that is opposite the triangle's 90° angle. When the neighboring side is 23 meters away, the elevation angle is  54°

Suppose Hypotenuse equals h.

Given, the base is 23m

Using trigonometry,

tan θ = Base / hypotenuse

tan 54° = 23 / h

⇒ 0.67 = 23 / h

⇒ h = 23 / 0.67

⇒ h = 34.3

So, the ladder needs to be 34.3m away in order to reach cat.

To learn more about trigonometric problems from given link

https://brainly.com/question/24349828

#SPJ4

The total weight of the two animals is 1.3 x 10^4 lbs.

The given parameters are

Animal 1 = 4.23 x 103 lbs.

Animal 2 = 8.7 x 103 lbs.

Rewrite the parameters properly

Animal 1 = 4.23 x 10^3 lbs.

Animal 2 = 8.7 x 10^3 lbs.

The total weight of the two animals is calculated as

Total weight = Animal 1 + Animal 2

This gives

Total weight = 4.23 x 10^3 lbs + 8.7 x 10^3 lbs.

Factor out 10^3 lbs

Total weight = (4.23 + 8.7) x 10^3 lbs.

Evaluate the sum

Total weight = 12.93 x 10^3 lbs.

Rewrite as

Total weight = 1.293 x 10^4 lbs.

Approximate

Total weight = 1.3 x 10^4 lbs.

Hence, the total weight of the two animals is 1.3 x 10^4 lbs.

Read more about scientific notation at:

https://brainly.com/question/5756316

#SPJ1

Answer:

72

Step-by-step explanation:

when x = 6

then replace x with 6 in the equation

12x

= 12(6)

= 72

According to the given data set:

values10,11,12,13,14,17,17,18,18,19,19,19,21,23,23,25,26,27,27,27,31,32,33,33,36,37,37,38,38more than 20 and less than or equal to 29 values21,23,23,25,26,27,27,27more than 20 and less than or equal to 29 values.

A data set is a group of figures or values related to a specific topic. A data set might include, for instance, each student's test results in a certain class. A data set is the number of fish that each dolphin consumes in an aquarium.

There are eight values that are both bigger than 20 and less than 29.The data collection has 12 values that are both higher than or equal to 30 and lower than or equal to 39.Values greater than nor equal to 30 and less than or equal to 3931,32,33,33,35,36,37,37,37,38,38The data collection has 12 values that are both higher than or equal to 30 and lower than or equal to 39.

To learn more about data set visit:

https://brainly.com/question/16300950

#SPJ4

The formula for y in terms of x is y = 3/x³.

Inversely Proportional:

When two variables are inversely proportional to each other, then the value of one quantity increases with respect to decrease in other or vice-versa.

So, it can be written as,

y = k/x

where,

y is inversely proportional to x and k is the constant of proportionality.

Given,

Y is inversely proportional to the cube of x.

Here we need to find the formula for y in terms of x.

We know that, y is inversely proportional to the cube of x.

So, it can be written as

=> y = k / x³

Where k is the constant.

To find the formula of y,

First we need to find the value of k,

By applying the value of x and y,

So,

=> 24 = k / (1/2)³

=> 24 = k / 1/8

=> 24/8 = k

=> k = 3

Therefore, the formula for y in terms of x is,

=> y = 3/ x³

To know more about Inversely Proportion Problems here.

https://brainly.com/question/14318761

#SPJ4

Answer:

40 days

Step-by-step explanation:

Let d be the number of days.

[tex]400 + 13d = 40 + 22d[/tex]

[tex]360 = 9d[/tex]

[tex]d = 40[/tex]

By additive property of line segments, the length of the line segment PR is equal to a length of 96 units.

According to geometry, the perimeter of a figure, closed or not, is the sum of the lengths of its sides, each represented by a line segment. In this question, we must determine the perimeter of two line segments, whose definition is found by additive property of line segments:

PR = PQ + QR           (1)

Where PR, PQ and QR are the lengths of the three line segments. If we know that PQ = 54 and QR = 42, then the length of the line segment PR is equal to:

PR = PQ + QR

PR = 54 + 42

PR = 96

Therefore, the length of the line segment PR is equal to a length of 96 units.

To learn more on perimeters: https://brainly.com/question/6465134

#SPJ1

Answer:

I did this and I got it wrong  so i did some so it said x=10 so im suggesting interpolation

Answer:

thanks for the points

Step-by-step explanation:

thanks for the points

x=5 is the required equation of straight line

The steepness of a line is determined by its slope. The slope is m in the equation for a line that is typically used, y = mx + b. The term "rise over run" is also frequently used to describe it and describes how much the y-value changes as the x-value does.

According to the given value;

slope of line is Y₂-Y₁/X₂-X₁

hence slope for given line will be

3-(-2)/5-5 =5/0 = ∞

slope is infinity means straight line is vertical in nature and vertical lines are of the form x=a where a is some constant

now we can observe that 5 is constant in both the given points so x=5 is the required line which passes through (-2,-6),(-2,5)

Hence,x=5 is the required equation of straight line .

To know more about Slope of line , visit

https://brainly.com/question/24810955

#SPJ9

Answer:

245 + 35x = 560

Step-by-step explanation:

35 x 7 = 245 (for monday)
Then the equation should be

245 + 35x = 560

It looks like you solved it too, your answer is correct btw! Lmk if you need help with the steps, or anything

Also, how you make this equation is this, you put how much he earned for monday, and then add it to 35x (x being the amount of cars he did) make sure to do = 560 at the end so you can solve it :)

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

Step-by-step explanation:

Since he gets  35$ for every car he washes and washed seven cars on Monday, he got 35*7=245. Now, you can minus the amount from it to 315. 315/35 is 9, so nine is your answer.

To phrase it into an equation, you can do when x=amount of cars washed, 35x=560-7*35.

Hope this helped!

The equation for the plane consisting of all points that are equidistant from the points (−7, 1, 1) and (3, 3, 5) is 20x + 4y + 8z = -9.

In order to determine the distance of this plane (x, y, z) with the given points, we would use the distance formula.

Mathematically, the distance between three (2) points that are on a coordinate plane can be calculated by using this formula:

Distance = √[(x₂ - x₁)² + (y₂ - y₁)² + (z₂ - z₁)²]

For these points (x, y, z) and (−7, 1, 1), the distance is given by:

Distance = √[(x₂ - x₁)² + (y₂ - y₁)² + (z₂ - z₁)²]

Distance = √[(x₂ - (-7))² + (y₂ - 1)² + (z₂ - 1)²]

Distance = √[(x₂ + 7)² + (y₂ - 1)² + (z₂ - 1)²]

By using the algebraic formulas, the expanded expression is given by:

(a - b)² = a² - b² - 2ab

(a + b)² = a² + b² + 2ab

Distance = √[(x² + 14x + 49) + (y² - 2y + 1) + (z² - 2z + 1)]   .......equation 1.

For these points (x, y, z) and (3, 3, 5), the distance is given by:

Distance = √[(x₂ - x₁)² + (y₂ - y₁)² + (z₂ - z₁)²]

Distance = √[(x - 3)² + (y - 3)² + (z - 5)²]

Distance = √[(x² - 6x + 9) + (y² - 6y + 9) + (z² - 10z + 25)]    .....equation2.

Since both distances are equidistant, we would equate eqn. 1 and eqn. 2 and then simplify:

√[(x² + 14x + 49) + (y² - 2y + 1) + (z² - 2z + 1)] = √[(x² - 6x + 9) + (y² - 6y + 9) + (z² - 10z + 25)]

(x² + 14x + 49) + (y² - 2y + 1) + (z² - 2z + 1) = (x² - 6x + 9) + (y² - 6y + 9) + (z² - 10z + 25)

x² + 14x + 49 + y² - 2y + 1 + z² - 2z + 1 = x² - 6x + 9 + y² - 6y + 9 + z² - 10z + 25

14x + 6x - 2y + 6y - 2z + 10z + 52 - 43 = 0

20x + 4y + 8z + 9 = 0

20x + 4y + 8z = -9.

Read more on equation for a plane here: https://brainly.com/question/20595341

#SPJ4

The excel statement to estimate the test average of these 4 grades is -

An average is the sum of many numbers divided by the total of numbers. It is also known as the arithmetic mean.

To know more about the Microsoft Excel, here

https://brainly.com/question/23501096

#SPJ4

Using it's concept and the graph of the function, the domain and the range are given as follows:

In a graph, the domain and the range are found as follows:

For this problem, the function is given by the following rule stated in the problem:

f(x) = (x² - 4x - 12)/(x + 2).

The graph of the function is given at the end of the answer. From it, we can see that the function unexpectedly devolves into a linear function. This is because -2 is a factor of x² - 4x - 12, hence (x² - 4x - 12) = (x + a)(x + 2), and x + 2 is simplified with the denominator.

The function is defined for all real values, and also assume all real values, hence:.

More can be learned about domain and range at https://brainly.com/question/10197594

#SPJ1

The likelihood that exactly 13 students will pursue arts in the coming year is 76.47%.

So, to find the probability:

Given:

We now want to calculate the likelihood that 13 students will pursue arts in the following year.

That is,

Therefore, the likelihood that exactly 13 students will pursue arts in the coming year is 76.47%.

Know more about probability here:

https://brainly.com/question/24756209

#SPJ4

each input is mapped into only one output, so this is in fact a function.

A relation is a function if and only if each input is mapped into only one output.

Remember that an ordered pair is of the form (x, y), where x is the input and y the output.

In this case, the relation is defined by the ordered pairs:

(6, -2), (2, 2), (4, 1), (-1, 1)

We can see that each input is mapped into only one output, so this is in fact a function.

If you want to learn more about functions:

https://brainly.com/question/2328150

#SPJ1

Answer:

8ft

Step-by-step explanation:

i believe it's eight feet?

Answer: Use Desmos Graphing Calc, helps for graph like these

Step-by-step explanation:

1. Place a point on (0,8)
2. Then go down -1/3

P.S: REMEMBER RISE OVER RUN

Type A car has the highest number of miles per gallon.

Given that the miles driven by a Type A car is 106 miles for 5 Gallons of Gasoline.

⇒ miles per gallon for a Type A car = 106/5 = 21.2 miles/gallon

Given that the miles driven by a Type B car are 204 miles for 10 Gallons of Gasoline.

⇒ miles per gallon for a Type B car = 204/10 = 20.4 miles/gallon

Given that the miles driven by a Type C car are 298 miles for 15 Gallons of Gasoline.

⇒ miles per gallon for a Type A car = 298/15 = 19.87 miles/gallon

(approximate to the two places of decimal value)

Given that the miles driven by Type D car are 392 miles for 20 Gallons of Gasoline.

⇒ miles per gallon for a Type D car = 392/20 = 19.6 miles/gallon

Therefore we have the following:

Type A - 21.2 miles/gallon

Type B - 20.4 miles/gallon

Type C - 19.87 miles/gallon

Type D - 19.6 miles/gallon

It is clear from the above data, that type A car has the highest number of miles per gallon.

Learn more at:

https://brainly.com/question/24787693

#SPJ9

Answer:

11/20

Step-by-step explanation:

Answer:

33/60 might be correct.

Step-by-step explanation:

1/4 hours is 15 minutes. 4/5 hours is 48 minutes

48-15=33 more minutes

The value of "r" in the given equation is -15.55.

To learn more about equations, visit :

https://brainly.com/question/10413253

#SPJ9