Subtracting Two Vectors not at the Origin
Vector på has an initial point at (3, 3) and its terminal point is at (5, 7).
Vector Rs has an initial point at (4, -6) and its terminal point is at (1.-5).
What is the component form of vector PO - R$?

Answer:

The answer is in the link

Step-by-step explanation:

Brainliest pls

Answer:

B. Create the perpendicular bisector of BC. Then use the points of intersection of the perpendicular bisector with the circle, along with points B and C, to draw the square.

Step-by-step explanation:

The first row of a bank statement shows -

Option D : The account's balance at the beginning of the period.

What is bank statement?

A bank statement, also known as an account statement, is a record that summarises all of an account's transactions for a given month and is normally issued by the bank to the account holder each month.

The transactions for a bank account over a specific time period, typically monthly, are listed in a bank statement.

The statement provides the beginning and ending balances for the period along with deposits, charges, and withdrawals.

Every month, account holders typically analyse their bank statements to assist them keep track of their spending and costs and to check for any erroneous or fraudulent charges.

Therefore, the first row shows the balance at the beginning period.

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Answer:

C

Step-by-step explanation:

i just guessed but it was correct

Answer:

No. He was incorrect.

Step-by-step explanation:

10 4/5 = 10 8/10.

=> 10 7/10 < 10 8/10

The above inequality is correct.

Hoped this helped.

The inequality written by Frankie is incorrect. so 10 7/10 < 10 8/10 inequality is correct.

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solutions to that equation or inequality.

We have been given that Frankie and Gus swam for 10 minutes. When the time was up; Frankie completed 10 7/10 laps and Gus 10 4/5 had completed laps.

Since Frankie wrote the inequality to show who swam the longest distance as;

10 7/10 > 10 4/5

We can see that the fraction are;

10 4/5 = 10 8/10.

Thus, the inequality written by Frankie is incorrect.

So, 10 7/10 < 10 8/10

This inequality is correct.

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The area of the rectangle formed by the set of points are in the order :

Area of ABCD = 50 square units, Area of EFGH = 180 square units, Area of IJKL = 80 square units, Area of MNOP = 60 square units, Area of QRST = 100 square units and Area of UVWX = 300 square units.

Given are set of points which forms a rectangle.

We have to find the area of each rectangle.

A(-9, 8), B(-5, 5), C(1, 13), D(-3, 16)

Find the lengths of adjacent sides, that is AB OR CD and BC or AD.

Using the distance formula,

AB = \(\sqrt{(-5--9)^2+(5-8)^2}\) = 5

BC = \(\sqrt{(1--5)^2+(13-5)^2}\) = 10

Area of ABCD = 5 × 10 = 50 square units

E(30, 20), F(39, 29), G(49, 19), H(40, 10)

Using the distance formula,

EF = \(\sqrt{(39-30)^2+(29-20)^2}\) = √162

FG = \(\sqrt{(49-39)^2+(19-29)^2}\) = √200

Area of EFGH = √162 × √200 = 180 square units

I(-6, 2), J(2, 2), K(2, -8), L(-6, -8)

Using the distance formula,

IJ = \(\sqrt{(2--6)^2+(2-2)^2}\) = 8

JK = \(\sqrt{(2-2)^2+(-8-2)^2}\) = 10

Area of IJKL = 8 × 10 = 80 square units

M(5, 5), N(11, 5), O(11, -5), P(5. -5)

Using the distance formula,

MN = \(\sqrt{(11-5)^2+(5-5)^2}\) = 6

NO = \(\sqrt{(11-11)^2+(-5-5)^2}\) = 10

Area of MNOP = 6 × 10 = 60 square units

Q(10, 0), R(15, 5), S(25,-5), T(20, -10)

Using the distance formula,

QR = \(\sqrt{(15-10)^2+(5-0)^2}\) = √50

RS = \(\sqrt{(25-15)^2+(-5-5)^2}\) = √200

Area of QRST = √50 × √200 = 100 square units

U(0, 5), V(15, 20), W(25, 10), X(10, -5)

Using the distance formula,

UV = \(\sqrt{(15-0)^2+(20-5)^2}\) = √450

VW = \(\sqrt{(25-15)^2+(10-20)^2}\) = √200

Area of UVWX = √450 × √200 = 300 square units

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Answer:

225

Step-by-step explanation:

\(15^{2}\)

15×15

225

The system A has no solution.

The system B has the solution y=( 3-x )/3

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

System A:

x+3y=9..........(1)

-x-3y=9 ..........(2)

(1) => x=9-3y........(3)

Substitute (3) into (2)

(2) = >  - ( 9-3y ) - 3y = 9

          -9 + 3y - 3y = 9

          -9 =9

This is false.

So, the system has no solution.

System B:

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

x+3y=3..........(2)

(2) => x=3-3y........(3)

Substitute (3) into (1)

-(3-3y)-3y=-3

-3+3y-3y= -3

-3=-3

This is true,

So, the solution is:

x=3-3y

=> 3y= 3-x

=> y=( 3-x )/3

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\({\large\begin{gathered} { \underbrace{\boxed { \rm {\blue {Concept \: \: Using}}}}}\end{gathered}}\)

The angle sum property of a triangle:

Angle sum property of triangle states that the sum of interior angles of a triangle is 180°

\( \underline {\mathcal {{{\color{orange}{\bf \large \rightarrow \: \angle \: 1 \: + \: \angle \: 2 \: + \: \angle \: 3 \: = \: 180 \degree}}}}} \)

\({\large\begin{gathered} { \underbrace{\boxed { \rm {\blue {Solution}}}}}\end{gathered}}\)

.

\(\bf \large\longrightarrow \: \: 50 \degree \: + \: 70 \degree \: + \: x \: = \: 180 \degree\)

\(\bf \large\longrightarrow \: \:120 \degree \: + \: x \: = \: 180 \degree\)

\(\bf \large\longrightarrow \: \: x \: = \: 180 \degree \: - \: 120 \degree\)

\(\bf \large\longrightarrow \: \: x \: = \: 60\degree\)

\(\bf \large\longrightarrow \: \: x \: + \: 60 \degree \: + \: 60 \degree \: = \: 180 \degree\)

\(\bf \large\longrightarrow \: \: x \: + \: 120 \degree \: = \: 180 \degree\)

\(\bf \large\longrightarrow \: \: x \: = \: 180 \degree \: - \: 120 \degree\)

\(\bf \large\longrightarrow \: \: x \: = \: 60\degree\)

Answer:

B) 10, 15, 24

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Answer:

Step-by-step explanation:

heres the answer

Answer:

D

Step-by-step explanation:

if you go 6x and 34 y you get a point on the line.

There are 403,291,461,126,605,635,584,000,000 possible simple substitution ciphers.

A simple substitution cipher is an encryption technique where each letter in the original message is replaced by a corresponding letter from a fixed alphabet.

If we have an alphabet of 26 letters, there are 26! (26 factorial) possible ways to rearrange the letters. However, these arrangements include the identity permutation, where the letters are not rearranged at all, so we need to subtract 1 from the total number of arrangements:

26! - 1 = 403,291,461,126,605,635,584,000,000 - 1

(b) To determine the number of simple substitution ciphers that leave certain letters fixed, we can use the formula for permutations with repetition: n^r

Where n is the number of elements in the set (26 in this case) and r is the number of repeated elements.

The number of simple substitution ciphers that leave:

(i) No letters fixed is 15,511,210,043,330,985,984,000,000

(ii) At least one letter fixed is 387,780,251,082,275,304,600,000,000

(iii) Exactly one letter fixed is 26 * 15,511,210,043,330,985,984,000,000

(iv) At least two letters fixed is 365,268,041,039,246,319,600,000,000

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Answer

y=4x-3

m=4 or 4/1

b=-3

Answer:

1) 9x

2) 3b

3) 3m

4) 5a

5) 7x

6) 3a + 5b

7) 9x - 4

8) 2b + m

9) 13a + b + 6c

10) 9b + 1

11) 7p

12) 2a + b -10

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

R=red Y=yellow B=black

2(R)+4(B)

=6

2(Y)/6(R+B)

2/6 to get 50=50 or 3/6=1/2

you need 1 more yellow

Answer:

PQ AND SR on ED

Step-by-step explanation:

Based on vertical angle theorem, arcs that are congruent is option (B) arc P Q and arc S R is the correct answer.

The vertical angles theorem is a theorem that states that when two lines intersect and form vertically opposite angles, each pair of vertical angles has the same angle measures. A pair of vertically opposite angles are always equal to each other.

For the given situation,

Angles PTQ and STR are vertical angles and congruent.

Line segments T P, T Q, T R, and T S are radii.

So, T P = T Q = T R = T S.

The two sides T P = T Q and T R = T S and \(\angle PTQ = \angle RTS\),

then by SAS similarity theorem two triangles,

Δ PTQ ≅ Δ STR.

When two triangles are congruent, then the corresponding arc are also congruent.

The congruent central angles intercept congruent arcs PQ and SR.

Hence we can conclude that based on vertical angle theorem, arcs that are congruent is option (B) arc P Q and arc S R is the correct answer.

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Answer:

Step-by-step explanation:

Soh Cah Toa

S stand for sine, C stand for Cosine and the T stand for Tangent

'o' is the opposite, 'a' stand for adjacent (next to) and h stand for hypotenuse (the longest length of the triangle)

\(sin(\theta)=\frac{opposite}{hypotenuse}\)

\(cos(\theta)=\frac{adjacent}{hypotenuse}\)

\(tan(\theta)=\frac{opposite}{adjacent}\)

We care about angle A and we want sine. So we will use the first equation.

The opposite from A is 3 and the hypotenuse is 5.

\(sin(A)=\frac{3}{5}\)

Answer:

Degree of freedom = 2

Expected frequency = 80%

Critical value, = 5.991

χ² statistic = 3.5

Step-by-step explanation:

Given the data :

Hong Kong New York Paris

Yes 86% 76% 78%

No 14% 24% 22%

The degree of freedom for the Chisquare statistic is given as :

(no of rows - 1) * (number of columns - 1)

Number of rows = 2

Number of columns = 3

. Degree of freedom = (2-1) * (3-1) = 1*2 = 2

Expected frequency = (Row total * column total) / grand total

The expected frequency of Hong Kong / Yes cell :

Row total = (86+76+78) = 240

Column total = (86+14) = 100

Grand total, N = (14+24+22)+240 = 300

Expected frequency = (240*100)/300 = 80%

The critical value :

At α - level = 0.05 ; df = 2

Critical value = 5.991

χ² = Σ(observed - Expected)² / Expected

The expected values :

80 80 80

20 20 20

Hence,

χ² = Σ(86-80)²/80 + (76-80)²/80 + (78-80)²/80 + (14-20)²/20 + (24-20)²/20 + (22-20)²/20

χ² statistic = 3.5

Answer:

-x^2(x + 5)(x - 5)

Step-by-step explanation:

x^2 is common to both terms of -x^4+25x^2:

x^2(-x^2 + 25)

and the binomial factor can be factored further:

x^2(x + 5)(-x + 5) or

-x^2(x + 5)(x - 5)

Answer:

540 and 50 respectively

Step-by-step explanation:

Let the speed of plane in still air be x and the speed of wind be y.

ATQ, (x+y)*7.5=4425 and (x-y)*7.5=3675. Solving it, we get x=540 and y=50

Answer:

2x-15

Step-by-step explanation:

Found it on a Phrase translator to equations.

Answer: 43.988

Step-by-step explanation: The formula for the circumference of a circle is the diameter multiplied by pi. Since the diameter is 14 and it is telling us to use 3.142 as pi, we can multiply the two and get the answer.

Answer:

True

Step-by-step explanation:

The normal form of equation of a line is the radius of p. Tangent to a circle is the line that touches one point on the circle. The radius is the circumference of the circle. The tangent line on the circle is always perpendicular to the radius. The statement is correct.

D. The function  {(4,1), (-7,0), (-12,2), (0,0), (-12,1)} has the given domain  {-12, -7, 0, 4, 12} and range  { 0, 1, 2}.

The domain is the set of all inputs which has an output or range.The range of a function is the set of all outputs form which the domain is defied.

According to the given question domain and range of a function are given they are { -12, -7, 0, 4, 12 } and { 0, 1, 2 }.

This can be written an an ordered pair as { (-12,0), (-12,1), (-12,2), (-7,0), (-7,1), (-7,2), (0,0), (0,1), (0,2), (4,0), (4,1), (4,2), (12,0), (12,1), (12,2) }.

From the given options we can observe that in option D. which has ordered pairs { (4,1), (-7,0), (-12,2), (0,0), (-12,1) }.

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The angle between the sides measuring 4 and 5 in the obtuse triangle is approximately 101.54 degrees.

To find the measure of the angle between the sides measuring 4 and 5 in an obtuse triangle with side lengths 4, 5, and 7, we can use the Law of Cosines. The Law of Cosines states that in a triangle with side lengths a, b, and c, and an angle opposite to side c, the following equation holds:

\(c^2 = a^2 + b^2 - 2ab*cos(C)\)

In this case, we have side lengths a = 4, b = 5, and c = 7. We want to find the angle C, which is opposite to side c. Substituting these values into the Law of Cosines, we get:

\(7^2 = 4^2 + 5^2\)- 2(4)(5)*cos(C)

49 = 16 + 25 - 40*cos(C)

49 = 41 - 40*cos(C)

40*cos(C) = 41 - 49

40*cos(C) = -8

cos(C) = -8/40

cos(C) = -0.2

To find the measure of angle C, we can take the inverse cosine (arccos) of -0.2:

C = arccos(-0.2)

Using a calculator, we find that C ≈ 101.54 degrees.

Therefore, the measure of the angle between the sides measuring 4 and 5 in the obtuse triangle is approximately 101.54 degrees.

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Answer:

Step-by-step explanation:

Based on the information provided, the residual plot makes sense based on the scatter plot.

In the given scatter plot, the points are plotted with horsepower on the x-axis and observed MPG (miles per gallon) on the y-axis. The scatter plot shows the relationship between horsepower and MPG for the motorcycles.

The residual plot, on the other hand, shows the differences between the observed MPG values and the predicted MPG values based on the regression line or model. Residuals represent the vertical distances between the observed data points and the regression line.

Looking at the residual plot, we can see that the residuals are scattered randomly around the zero line. Some residuals are positive, while others are negative, indicating that the observed MPG values deviate both above and below the predicted MPG values.

Given this information, option A is the correct answer: "The random residual plot makes sense because the scatter plot appears to have a linear relationship." The scatter plot does not necessarily suggest a positive or negative relationship between horsepower and MPG. It simply shows the general trend or pattern. The random distribution of residuals in the residual plot indicates that the regression model is capturing the relationship adequately, and the variations or deviations from the regression line are random, which is expected in a good regression model.

The residual plot created by Jorge does make sense as it reflects the negative relationship between horsepower and miles per gallon present in the original scatter plot. As the horsepower increases, the miles per gallon decreases which is depicted accurately in the residual plot made.

The best answer for this is B. The random residual plot makes sense because the scatter plot appears to have a negative relationship. A residual plot is a graph that is used to examine the goodness of fit in regression and ANOVA analysis. It is the differences between the observed and predicted values of data. The points in a residual plot are randomly dispersed around a horizontal axis if the corresponding regression model is appropriate for the data.

In this case, the scatter plot demonstrates a negative relationship between the horsepower of motorcycles and miles per gallon. As the horsepower increases, the miles per gallon decrease. This negative relationship is reflected in the pattern of residuals, which fluctuates around the zero line on the y-axis of the residual plot. Consequently, the random distribution of residuals on Jorge's plot does make sense given the scatter plot data.

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Step-by-step explanation:

Unless Loll has agreed to credit terms in writing, payment shall be made in advance and by cash, cashier's check, credit card, wire transfer or irrevocable letter of credit in a form acceptable to Loll. All payments due from Buyer shall be made without any set-off or deductions for any reason whatsoever.

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Step-by-step explanation:

Since lines p || q are parallel to one another, let us find all the 8 angles,

        1 and 7 are vertically opposite angles and they are equal;

    since angle 1 is 75°, then angle 7 is 75°

 Also, angle 7 and 5 are corresponding angles, corresponding angles are equal;

    So,

         angle 5  = 75°

 Angle 5 is vertically opposite to angle 3,

   So,

       angle 3  = 75°

To find angle 4,

    angle 4 and angle 5 are angles on a straight line;  

       sum of angles on a straight line = 180°

     angle 4 + angle 5  = 180°

     angle 4 = 180 - 75 = 105°

Angle 2 and Angle 4 are corresponding angles and they are equal;

    So angle 2 = 105°

Angle 4 and angle 6 are vertically opposite and they are equal;

   angle 6  =  105°

Angle 6 and 8 are corresponding angles, they are equal;

     angle 8 =  105°

Answer:

$11,580.31

Step-by-step explanation:

turn 41% into a decimal:

0.41

$28,244.66 * 0.41

11,580.31

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