Consider u = ⟨5, –2⟩ and v = ⟨10, –4⟩. What is the relationship between u and v?

The vectors point in the same direction.
The vectors form an acute angle.
The vectors form an obtuse angle.
The vectors point in opposite directions.

Answer:

this is hard

Step-by-step explanation:

is it trigonometry?

The Area Model is the model which is exceptionally good at modeling fraction multiplication. it works when partitioning is challenging and provides a visual of the size of the result.

Area Model:

In mathematics, an area model is a rectangular chart or model for multiplication and division problems, where the coefficients or quotients and divisors define the length and width of the rectangle. Numerical bindings can be used to divide a large rectangular area into several smaller boxes for easier calculations. Then add to get the total area which is the product or quotient.

To multiply two 2-digit numbers using the plane model:

For example, 27 as 20 and 7, 35 as 30 and 5.

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The distance between the coordinates R and S is 4 units and the distance between T and U is √26 units.

The distance formula is a formula used to find the distance between two points in a two- or three-dimensional space. The formula is:

\(d = \sqrt{((x_2-x_1)^2+(y_2-y_1)^2)}\)

Where d is the distance between the two points (x1,y1) and (2, 2),

Using the distance formula, we can find the distance between any two points in a two-dimensional space.

For example, to find the distance between points R(-1.0) and S(3.0), we can use the distance formula:

\(d= \sqrt{(3-(-1))^2+(0-0)^2)} = \sqrt{(16+0)}\\= \sqrt{(16)}\\=4\)

Therefore, the distance between R(-1,0) and S(3,0) is 4 units. Similarly, we can find the distances between any other pair of points using the distance formula.

Distance between T and U is -

T(2, -3), U(-3, -2)

\(=\sqrt{(-3-2)^2 + (-2 - (-3))^2} \\=\sqrt{25 + 1}\\= \sqrt{26}\\\)

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Find the distance between following points -

R(-1,0), S(3, 0)

T(2, -3), U(-3, -2);

Answer:

31536000 seconds in a year

Step-by-step explanation:

there are 365 days in a year, 24 hours in a day, 60 minutes in an hour, and 60 seconds in each minute. you have to multiply all of them

Answer:

the awnser is 3

Step-by-step explanation:

Answer:

285, 7392, 15708, are divisible by 3 but not by 9

Step-by-step explanation:

it's because of we add the sun of the digits, 285, 7392, 15708, they are divisible by 3. actually, except for 629, all of them are divisible by 3, but 5490 and 43695 are both divisible by 3 and 9

Answer:

1) (2, 1)

2) (2, -2)

3) (-1, -1)

4) (-5, -5)

Answer:

1. Pairs A(2, 5), B(6, 5), and C(6, 1)

missing coordinate is (2,1)

2. Pairs A(2, 3), B(7, 3), and C(7, -2)

missing coordinate is (2,-2)

3. Pairs A(-5, -1), B(1, -1), and C(1, -5)

missing coordinate is (-5,-5)

4. Pairs A(-1, 4), B(7, 4), and C(7, -1)

missing coordinate is (-1,-1)

Hope this is correct!! Have a nice day!!<3

Answer:

60 problems

Step-by-step explanation:

Find how many he got correct by multiplying 80 by 0.75:

80(0.75)

= 60

So, Bill got 60 problems correct

When Kayla was instructed to rewrite the polynomial expression x2 + 6x + 9, she wrote \(x^2+2 x-3+3^2=(x+3)^2\).

Factor \($ x^2+6 x+9: \quad(x+3)^2$\)

\($$x^2+6 x+9$$\)

Rephrase in the manner of \($a^2+2 a b+b^2$\) :

\($9=3^2$\)

\($6 x=2 x \cdot 3$\\$=x^2+2 x \cdot 3+3^2$\)

Using the Perfect Square Formula : \($\quad a^2+2 a b+b^2=(a+b)^2$\)

\($$\begin{aligned}& x^2+2 x-3+3^2=(x+3)^2 \\& =(x+3)^2\end{aligned}$$\)

An expression that solely uses the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables is said to be a polynomial. Variables, which are sometimes known as indeterminates, and coefficients make up a polynomial. x2 4x + 7 is an illustration of a polynomial of one uncertain x.

An expression with a single or a number of terms is referred to as a polynomial. The words "polynomial" and "nomial," which are two distinct phrases, are the origins of the term. Nominal is another word for many, while poly is another word for many. An algebraic expression with two or more algebraic terms is referred to as a polynomial.

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Answer:

R;2 B;1 P;

Step-by-step explanation:

R is red there are 2 reds

B is blue there are 1 blues

P is purple there are 1 purples

Answer:

23. Similar as well as congruent triangle

25. Conguent triangle

Step-by-step explanation:

Answers:

23. Not enough information

25. Congruent (by the HL theorem)

HL = hypotenuse leg

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

Explanation for problem 23.

Check out figure 1 shown below.

I have marked the given diagram with light blue and light pink to show which angles are congruent.

Because lines UN and TC are parallel, we know the following alternate interior pairs are congruent.

Therefore, we can establish one link of paired congruent angles of the triangles LNU and TCH. However, we cannot determine any other angle pairings. Why not? Because we don't know if segment UL is parallel to segment TH. If they were parallel, then we could establish something like angle LUN = angle CHT as one alternate interior pairing.

But again, we don't know if UL is parallel to TH. The arrow markers aren't shown for these segments.

Therefore, we simply don't have enough information to determine if the triangles are similar or congruent.

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

Explanation for problem 25.

Luckily this problem will provide sufficient info to prove the triangles KSR and ISR are congruent.

We start with the given info that KR = SI due to the identical tickmarks. This represents one node in the flowchart (see figure 2).

Another node is angle RKS = angle RIS because both are right angles, aka 90 degree angles.

A third node is SR = SR because of the reflexive property.

Those three nodes then feed into the final conclusion node that triangle KSR = triangle ISR. The reasoning is "HL theorem" where HL = hypotenuse leg. This theorem works for right triangles only.

Take note how I structured the proof so that it flows from top to bottom. The three nodes side by side are related so they share the same row.

There are many other ways to make the flowchart, so don't feel obligated to use this format. Use whatever works best for you.

Answer: Total cost would be 10,320

Step-by-step explanation: Hope this helps

Answer:

x > -5, so the correct answer is C.

Answer:

yes

Step-by-step explanation:

All you need to do for this really is use a calculator and confirm answers are correct and they are. After that you need to show your work to prove the answers are correct.

The system of inequalties on the graph is:

x  + 4y ≤ 15

y ≥ 0

First, we can see a solid line at y = 0 and we have the region above that line shaded, so one of the inequalities is:

y ≥ 0.

The other inequality is a solid line with a negative slope and the shaded region is below the line.

The only option that has these characteristics is:

x  + 4y ≤ 15

4y ≤ - x + 15

y ≤ (-1/4)x + 15/4

Then the system of inequalities is:

x  + 4y ≤ 15

y ≥ 0

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Answer:

4/-7 would be the slope

Step-by-step explanation:

Line with slope\($\mathrm{m}=\frac{3}{2}$\) and passing through \($(13,-8): \quad y=\frac{3}{2} x-\frac{55}{2}$\).

What is Line?

A line is an object in geometry that is indefinitely long and has neither breadth nor depth nor curvature. Since lines can exist in two, three, or higher dimensional environments, they are one-dimensional things. The term "line" may also be used to describe a line segment in daily life that contains two locations that serve as its endpoints.

Compute the line equation\($\mathbf{y}=\mathbf{m x}+\mathbf{b}$\) for slope \($m=\frac{3}{2}$\) and passing through (13,-8)

Compute the y intercept:\($\quad b=-\frac{55}{2}$\)

Construct the line equation y=m x+b where \(m=\frac{3}{2}$ and $b=-\frac{55}{2}$\)

\(y=\frac{3}{2} x-\frac{55}{2}$$\)

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Answer:

Step-by-step explanation:

(6,3) m = 1/2

b = y - (m)(x)

b = -3 - (1/2)(6)

b = -3 - 3

b = -6

y = 1/2x - 6

The exponential growth model for the baseball player's earnings, in millions of dollars, t years after 2015 is\(y = 3 \times (1.04)^t,\)  with a base of 1.04.

To model the exponential growth of the baseball player's earnings, we can use the formula:

\(y = a \times (1 + r)^t\)

where:

y represents the earning in millions of dollars

a represents the initial earning in millions of dollars (in this case, $3 million)

r represents the growth rate per year (4%, which can be expressed as 0.04)

t represents the number of years after 2015

In this case, we want to find the earning y (in millions of dollars) t years after 2015.

Since the initial earning in 2015 is $3 million, we can substitute a = 3.

Therefore, the exponential growth model for the player's earnings is:

\(y = 3 \times (1 + 0.04)^t\)

Simplifying the expression further, we have:

\(y = 3 \times 1.04^t\)

The base of the model is 1.04, which is the decimal representation of the growth rate (4%).

Using this model, we can calculate the player's earnings for any year after 2015 by plugging in the value of t.

For example, if we want to find the earnings 5 years after 2015, we substitute t = 5 into the equation:

\(y = 3 \times 1.04^5\)

This will give us the projected earnings in millions of dollars for that particular year.

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Answer:

It's 3 feet

Step-by-step explanation:

Because you are trying to reach the window that is 15 feet, so you would place the 18 foot ladder 3 feet from the house so then it would be at an angle and then it'll reach to the window properly.

Answer:

5 2/3

Step-by-step explanation:

Hope it helps plz give brainliest ! :D

Considering the definition of exponential function, the value of the car is 11,287.25 dollars.

An exponential function is one in which the independent variable x appears in the exponent and has a constant a as its base. Its expression is:

f(x)= aˣ

Being a a positive real, a > 0, and different from 1, a ≠ 1.

When 0 < a < 1, then the exponential function is a decreasing function and when a > 1, it is an increasing function.

In this case, the value of that car depreciates based on the function f(t)=12,000×\(0.96^{t}\) where t is measured in years after purchase.

After 3/2 years, the value of the car is calculated as:

f(3/2)=12,000×\(0.96^{3/2}\)

Solving:

f(3/2)= 11,287.25

Finally, the value of the car is 11,287.25 dollars.

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Answer:

It’s a ratio

Step-by-step explanation:

Is that the whole question?

Answer:

5, 6

Step-by-step explanation:

Answer:

Los números son:

6 y 5

Step-by-step explanation:

Planteamiento:

a * b = 30

a + b = 11

Desarrollo:

De la segunda ecuación del planteamiento:

a = 11-b    

Sustituyendo esta última ecuación en la primer ecuación del planteamiento:

(11-b)*b = 30

11*b + b*-b = 30

11b - b² - 30 = 0

-b² + 11b - 30 = 0

b = {-11±√((11²)-(4*-1*-30))} / (2*-1)

b = {-11±√(121-120)} /-2

b = {-11±√1} / -2

b = {-11±1} / -2

b₁ = {-11-1} / -2 = -12/-2 = 6

b₂ = {-11+1} / -2 = -10/-2 = 5

Comprobación:

6*5 = 30

6+5 = 11

is △ABC equilateral?  well, we dunno, however let's check for all sides' length.

\(~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ A(\stackrel{x_1}{-3}~,~\stackrel{y_1}{2})\qquad B(\stackrel{x_2}{-6}~,~\stackrel{y_2}{-2}) ~\hfill AB=\sqrt{(~~ -6- (-3)~~)^2 + (~~ -2- 2~~)^2} \\\\\\ ~\hfill AB=\sqrt{( -3)^2 + ( -4)^2} \implies AB=\sqrt{ 25 }\implies \boxed{AB=5}\)

\(B(\stackrel{x_1}{-6}~,~\stackrel{y_1}{-2})\qquad C(\stackrel{x_2}{0}~,~\stackrel{y_2}{-2}) ~\hfill BC=\sqrt{(~~ 0- (-6)~~)^2 + (~~ -2- (-2)~~)^2} \\\\\\ ~\hfill BC=\sqrt{( 6)^2 + ( 0)^2} \implies BC=\sqrt{ 36 }\implies \boxed{BC=6} \\\\\\ C(\stackrel{x_1}{0}~,~\stackrel{y_1}{-2})\qquad A(\stackrel{x_2}{-3}~,~\stackrel{y_2}{2}) ~\hfill CA=\sqrt{(~~ -3- 0~~)^2 + (~~ 2- (-2)~~)^2} \\\\\\ ~\hfill CA=\sqrt{( -3)^2 + (4)^2} \implies CA=\sqrt{ 25 }\implies \boxed{CA=5}\)

well, not quite.

Answer:

Step-by-step explanation:

To find the total length of both pieces of fabric in centimeters, we need to add the length of the first piece of fabric (142 cm) and the length of the second piece of fabric (2 meters).

However, we need to make sure that the units are consistent before we add the lengths. We can convert the length of the second piece of fabric from meters to centimeters by multiplying by 100. Therefore, the total length in centimeters is:

142 cm + 2 meters * 100 cm/meter = 142 cm + 200 cm = 342 cm

The option that correctly gives the answer is "Multiply 2 by 100, then add 142" (Option C).

Answer:

x = - 1

Step-by-step explanation:

P = \(\frac{x-2}{x+1}\)

the denominator of the rational function cannot be zero as this would make it undefined. Equating the denominator to zero and solving gives the value that x cannot be.

x + 1 = 0 ( subtract 1 from both sides )

x = - 1

P is undefined when x = - 1