This is from the last question

Answer:

  (4, -2)  (see attached)

Step-by-step explanation:

Vector addition on a graph is accomplished by placing the tail of one vector on the nose of the one it is being added to. The negative of a vector is in the direction opposite to the original.

__

The components of the vectors are ...

  u  = (1, -2)

  v = (-6, -6)

Then the components of the vector sum are ...

  2u -1/3v = 2(1, -2) -1/3(-6, -6) = (2 +6/3, -4 +6/3)

  2u -1/3v = (4, -2)

The sum is shown graphically in the attachment. Vector u is added to itself by putting a copy at the end of the original. Then the nose of the second vector is at 2u.

One-third of vector v is subtracted by adding a vector to 2u that is 1/3 the length of v, and in the opposite direction. The nose of this added vector is the resultant: 2u-1/3v.

The resultant is in red in the attachment.

The answer is (4, -2) hope this helps!

Answer: [tex]-x^3-x^2+11x\\[/tex]

Step-by-step explanation:

Combine Like Terms:

[tex]=3x+2x^3+-5x^2+4x+6x+-2x+-3x^2+7x^2+-3x^3\\\\=(2x^3+-3x^3)+(-5x^2+-3x^2+7x^2)+(3x+4x+6x+-2x)\\\\=(-x^3)+(-8x^2+7x^2)+(7x+4x)\\\\=-x^3-x^2+11x\\[/tex]

Answer:

z⁴

Step-by-step explanation:

(z x z x z x z x z x z) / (z x z)

z⁶ / z² = z⁴

Multiply -1/4 by -7/9 ((To do this, multiply the numerator by the numerator and the denominator by the denominator.)

[tex]\bf{\dfrac{-1(-7)}{4\times9)} \ \ \to \ \ \ Multiply }[/tex]

Do the multiplications in the fraction -1(-7) / 4 x 9.

[tex]\bf{\dfrac{7}{36} \ \ \Rightarrow \ \ \ Answer }[/tex]

We know that if (x,y) lies on the graph of a function, then (y,x) lies on the graph of its inverse.

This means you need to draw the segment with endpoints (9,1) and (2,3).

Option B is correct for the given system of equations.

The given system of equations 13(v-w)=52 and 12(v+w)=72.

In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.

Now, 13(v-w)=52⇒v-w=4-----(1) and 12(v+w)=72⇒v+w=6------(2).

By adding (1) and (2), we get

v-w+v+w=4+6⇒2w=10⇒w=5

By substituting w=5 in equation (1), we get v-5=4⇒v=9.

Thus, the statement "Andy flew his model aeroplane at full speed straight into the wind for 13 seconds before turning it around and flying directly with the wind for 12 seconds. The aeroplane flew 72 yards on the way out and 52 yards on the way back" is correct for the given system of equations.

Therefore, option B is correct for the given system of equations.

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9) Diagonals of a parallelogram bisect each other, so KN=NM. Thus, KM=13.5+13.5=27 cm

10) Opposite sides of a parallelogram are congruent, so LM=KJ=17 cm

11) Based on Question 9, MN=13.5 cm

The radius of the circle is

[tex] \sqrt{ {1}^{2} + {( - 3)}^{2} } = \sqrt{10} [/tex]

meaning that

[tex] \sin( \theta ) = \frac{ - 3}{ \sqrt{10} } [/tex]

Thus,

[tex] \csc \theta = - \frac{ \sqrt{10} }{3} [/tex]

The value of csc θ is  √10/ (-3).

Trigonometry is a branch of mathematics that studies relationships between the sides and angles of triangles.

As,

(1,−3) is in quadrant 4 and csc is negative.

Using Pythagoras,

H=√ 1² + (-3)²

H= √10

So, cosec θ= H/P

                  = √10/ (-3)

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Answer:

DeltaMath allows teachers to create free online accounts and assign their students automatically-graded, interactive problems from a long list of modules sorted by level – from middle school Common-Core-aligned math to AP Calculus.

Step-by-step explanation:

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The Recursive formula for an Arithmetic Sequence is a1 = -3, an = an-1 + 6.

An arithmetic sequence is a sequence where each term increases by adding/subtracting some constant k.

Given:

an = -3 + 6(n – 1)

a1= -3

a2= 3

a3 = 9

Here the common difference is 6 and first term is -3

Hence, the recursive formula is a1 = -3, an = an-1 + 6.

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Answer:

36 inches but im really not sure though because you got to times them together and then divide by 2

Answer:

this is the answer

Step-by-step explanation:

6x+1=0

6x=-1

x=-1/6

x=0,166

7x=7×x

Answer: Nth term = 5

Explanation:

An = a + ( n - 1 ) d

a = first term and

d = the difference

An = 1 + ( n - 1 ) 6

= 1n - 1 + 6

CLT

N = -1+6

N = +5 /5

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Answer:

Formula To Find: [tex]a_{n} = 3n^2 - 2n[/tex]

Step-by-step explanation:

Answer:

8 feet

Step-by-step explanation:

you have to calculate :(19+2x)(6+2x)=770

you will get X1=8,X2= negetive some value but measurement cant be negative .if you put X=8 you'll find LHS=RHS

Answer:

[tex]x= \frac{-25}{4}+\frac{1}{4} \sqrt{3705}[/tex]  or  [tex]x= \frac{-25}{4} + \frac{-1}{4}\sqrt{3705}[/tex]

Step-by-step explanation:

So first you need to find the area of the swimming pool:

19*6 = 114

Next you add the area of the swimming pool and the area of the walkway:

114 + 770 = 884

After this you solve for x using this equation:

(19 +2x) * (6 + 2x) = 884

This would normally find the area of the whole swimming pool area and the walkway but because we know that we can use it to solve for x.

The step-by-step is this:

[tex]4x^{2} +50x+114=884[/tex]

[tex]4x^2+50x+114-884=884-884[/tex]

 [tex]4x^2+50x+114-884=0[/tex]

Now we'll use the quadratic formula to simplify it farther:

[tex]x= \frac{-(50) + \sqrt{(50)^2-4(4)(-770)} }{2(4)}[/tex]

[tex]x=\frac{-50 + or - \sqrt{14820} }{8}[/tex]

[tex]x= \frac{-25}{4}+\frac{1}{4} \sqrt{3705}[/tex] or [tex]x= \frac{-25}{4} + \frac{-1}{4}\sqrt{3705}[/tex]

Answer:

A line traveling to the left with an open dot on x=1.

Explanation:

The inequality x < 1 basically means "less than 1." On number lines, the further left you go, the smaller the number becomes, and the further right you go, the larger the number becomes. So we know that because it's less or smaller than 1, then the line will be to the left. On the other hand, the inequality does not have a line under it to indicate a "less than or equal to 1," just "less than." Therefore, the dot is open. If there were a line under the inequality, then it would indicate "less than or equal to 1" and the dot would be closed.

Answer:

The first one

Step-by-step explanation:

[tex]n^{2} - 6n + 9 = (n-3)^{2}\\\\[/tex]

The expression removes the first 9 terms of the summation so the summation goes from 10 to 19

Answer:

1) 8 m^3

2) 125 + 25

3) 8

Step-by-step explanation:

1) It's a cube shape => length = width = height = 2 m

Volume = length × width × height = 2 × 2 × 2 = 8 m^3

2) 5^2 + 5^3 = 150

25 + 125 = 150

3) Now she is 8 years old (8 = 2^3)

Next year she'll be 9 years old (9 = 3^2)

Answer:

[tex]1\frac{1}{5}[/tex]

Step-by-step explanation:

3 = 3/1

(multiply top and bottom separately for fractions)

[tex]\frac{3}{1}[/tex] × [tex]\frac{2}{5}[/tex] = [tex]\frac{6}{5}[/tex]

[tex]\frac{6}{5} = \frac{5}{5}+\frac{1}{5}= 1\frac{1}{5}[/tex]

Answer:

Step-by-step explanation:

multiplying three (3) and two(2) and express the product of three and two over five.

five can enter in six three times , remainder 1

The fraction in lowest terms is one whole number , one over five.

The slopes of perpendicular lines are negative reciprocals is proved.

An equation of a straight line is given by

y = mx +c

It is given that

Line PQ is rotated 90° counterclockwise to form line P’Q’. The lines are perpendicular.

Line PQ contains the points (a, b) and (c, d). Line P’Q’ contains the points (–b, a) and (–d, c).

The slopes of lines PQ and P’Q’ can be determined using the formula

[tex]\rm m = \dfrac{ v _2 - v _1 }{ x _2 -x _1 }[/tex]

The product of these slopes is -1 .

This product shows that the slopes are negative reciprocals

Therefore , The slopes of perpendicular lines are negative reciprocals is proved,

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Answer: B. 55°

Step-by-step explanation: A single line is 180°. There are two of those lines that are both marked, meaning that they are equal. If this is true, then that must be the same for the other side. We would just have to find the angle for that.

180°- 125° = 55°

Therefore, the answer is B. 55°.

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The sample proportion denoted [tex]\hat{p}[/tex] is given by the formula [tex]\hat{p} = \frac{x}{n}[/tex], where, x is the number of individuals with a specified characteristic in a sample of n individuals.

A sample proportion can be defined as the proportion of individuals in a sample that have a specified characteristic or trait.

Mathematically, sample proportion can be calculated by using this formula:

[tex]\hat{p} = \frac{x}{n}[/tex]

Where:

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Answer:

C

Step-by-step explanation:

you need to re arrange like terms

Answer:

90 liters

Step-by-step explanation:

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Answer:

C=1

Step-by-step explanation:

5x^4+7x^3-2x^2-3x+1 / (x+1)
-1/ 5 7 -2 -3 1
    5 2 -4 1 0
Remainder of 0 indicates that x=-1 is a solution.

Answer:

D.

Step-by-step explanation:

Answer: Choice C

[tex]x < -2 \text{ or } x \ge 4[/tex]

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

Reason:

The portion on the left represents [tex]x < -2[/tex] because of the open circle at -2 and shading pointing to the left. This represents all numbers smaller than -2.

The portion on the right represents all values that are 4 or larger; hence [tex]x \ge 4[/tex]. Note the use of a closed circle at 4 to include this value.

We connect those two inequalities with the keyword "or" because x can only pick one of those options, but not both at the same time.

Answer:

333.33 miles

Step-by-step explanation:

Let x be the number of miles Mike and Juan drive.

They only have $300, however, so let's set an equation that will tell us how many miles, x, does it take to result in a total bill of $300.  The mileage fee will be ($0.75/mile)*(x miles driven).   Start with the $300 and subtract both the fixed fee of $50 and the mileage fee of 0.75x and set the result to zero, the point at which they spend $300.

$300 - $50 - ($0.75)x = 0

$250 - ($0.75)x = 0

- ($0.75)x = -$250

x = -($250)/(-$0.75)

x = 333.33 miles

CHECK:

Would Mike and Juan spend $300 on the rental car if they drove 333.33 miles?

                                            Rental Fee:     $50

Mileage:  ($0.75/mile)*(333.333 miles) = $250

                                             Total Cost:   $300  YES

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