What is the value of x in the equation 18-37x--42x+0.37​

Part (a)

The resultant vector is the vector formed by adding the two vectors a and b. So we effectively add the corresponding components.

You can use the parallelogram law as a visual alternative.

Adding a and b leads to

a+b = (3i-2j) + (pi-2pj)

a+b = (3i+pi) + (-2j-2pj)

a+b = (3+p)i - (2+2p)j

Define vector d to be d = a+b so we can use it later below.

Recall that parallel vectors point in the same direction. This means the ratio of their components or coordinates are equal.

We can say the following

(x coord of d)/(x coord of c) = (y coord of d)/(y coord of c)

(3+p)/(2) = (-(2+2p))/(-3)

Let's solve for p

(3+p)/(2) = (-(2+2p))/(-3)

(3+p)/(2) = (2+2p)/3

3(3+p) = 2(2+2p) .... cross multiply

9+3p = 4+4p

4p+4 = 3p+9

4p-3p = 9-4

p = 5

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

Part (b)

Since p = 5, from part (a), we can determine vector b

b = pi - 2pj

b = 5i - 2*5j

b = 5i - 10j

Then add vectors a and b to get

a+b = (3i-2j) + (5i - 10j)

a+b = (3i+5i) + (-2j - 10j)

a+b = (3+5)i - (2+10)j

a+b = 8i - 12j

Or we can say

a+b = (3+p)i - (2+2p)j  .... from part (a)

a+b = (3+5)i - (2+2*5)j ... plugging in p = 5

a+b = 8i - 12j

Note the ratio of the components of vector d and vector c are such

(x coord of d)/(x coord of c) = (y coord of d)/(y coord of c)

8/2 = -12/(-3)

4 = 4

This helps confirm the answer

You could also graph the vectors c = 2i - 3j and d = 8i - 12j to note the two lines produce the same slope -3/2. We can see that -12/8 = -3/2. Lines of the same slope are parallel lines

a.

The value of p is 5

Since vector a = 3i - 2j and vector b = pi - 2pj, the resultant of vectors a and b is R = a + b

= 3i - 2j + pi - 2pj

= (3 + p)i - 2(1 + p)j

Since R is aparallel to vector c = 2i - 3j, it implies that the cross product of R and c is zero.

The cross product of two vectors a and b is a × b = absinФ where a and b are the magnitudes of a and b and Ф is the angle between them.

So, R × c = [(3 + p)i - 2(1 + p)j] × [2i - 3j]

= (3 + p)i × 2i + (3 + p)i × (-3j) + (-2(1 + p)]j × 2i + (-2(1 + p)]j×(-3j)

= 0 - 3(3 + p)k - 4(1 + p)(-k) + 0

= -3(3 + p)k + 4(1 + p)k

= [-3(3 + p) + 4(1 + p)]k

= [-9 - 3p + 4 + 4p)]k

= [-9 + 4 - 3p + 4p)]k

=  [-5 + p]k

[-5 + p]k = RcsinФ.

Since R and c are parallel, Ф = 0°

So, Rcsin0° = Rc × 0 = 0

So,   [-5 + p]k = 0

-5 + p = 0

p = 5

The value of p is 5

b.

The resultant of vectors a and b is R = 8i - 12j

Since p = 5 and the resultant of vectors a and b is R = (3 + p)i - 2(1 + p)j

Substituting the value of p = 5 into r, we have

R = (3 + p)i - 2(1 + p)j

R = (3 + 5)i - 2(1 + 5)j

R = 8i - 2(6)j

R = 8i - 12j

So, the resultant of vectors a and b is R = 8i - 12j

Learn more about resultant of vectors here:

https://brainly.com/question/14358602

Answer:

The answer is x < -6

hope that helps

-3(5+5)>5x

-15+-15>5x

-30>5x

5x<-30

Divide both side by 5

5x÷5 < -30÷5

x<-6

Answer:

-15 is the incorrect answer the correct answer is x < --6

Step-by-step explanation: Simplify  5+55+5  to  1010.

-3\times 10>5x−3×10>5x

2 Simplify  -3\times 10−3×10  to  -30−30.

-30>5x−30>5x

3 Divide both sides by 55.

-\frac{30}{5}>x−

​5

​

​30

​​ >x

4 Simplify  \frac{30}{5}

​5

​

​30

​​   to  66.

-6>x−6>x

5 Switch sides.

x<-6x<−6

Step-by-step explanation:

A ={1,2,3,4,6,12}

B={4,6,8,10

[tex]A \cup B=[/tex]{1,2,3,4,6,8,10,12}

Answer:

Y intercept= (0,15)

X intercept= ([tex]\frac{3}{4}[/tex],0) , (5,0)

Vertex= -[tex]\frac{b}{2a}[/tex]

Step-by-step explanation:

PLEASE MARK BRAINLIEST

Answer:

A. By the Side-Side-Side (SSS) Congruence Theorem, ΔABC ≅ ΔDEF.

B. [tex] \overline{AB} \cong \overline{DE} [/tex]

[tex] \overline{BC} \cong \overline{EF} [/tex]

[tex] \overline{AC} \cong \overline{DF} [/tex]

Step-by-step explanation:

a. From the diagram given, it shows that all three sides of ∆ABC are congruent to all the three corresponding sides of ∆DEF.

Therefore, by the Side-Side-Side (SSS) Congruence Theorem, ΔABC ≅ ΔDEF.

b. The sides that are congruent in the ∆s given that applies to the SSS Congruence Theorem are:

[tex] \overline{AB} \cong \overline{DE} [/tex]

[tex] \overline{BC} \cong \overline{EF} [/tex]

[tex] \overline{AC} \cong \overline{DF} [/tex]

Answer:

x(x-8)(x+8)

Step-by-step explanation:

it ends with a negative 64 and the only one that also end with that would be C because -8×8 = 64

Answer:

96

Step-by-step explanation:

Total area = area of cube + area of triangle

A = 8² + [tex]\frac{8*8}{2}[/tex] = 64 + 32 = 96 in²

Answer:

96 square feet

to find the area of a triangle the formula is

A=1/2×b×h

8×8=64

1/2×8×8=32

32+64= 96

Answer:

13:  312yd squared

14: 907.5 rounded up but not rounded is 907.46

Step-by-step explanation:

this is because the formula is pi*r^2  so you'd

Step by step:

1. 20yd/2= 10 to get the radius for 13

2. substitute r in the formula pi*r^2 for 10 making it pi*10^2

3. multiply 10 by itself, 10*10=100

4. multiply pi by 100, 3.14*100= 314

314yd^2 is the answer for 13

14:

1. 34ft/2=17 to get the radius for 14

2. substitute r on the formula pi*r^2 for 17 making it pi*17^2

3. multiply 17 by itself, 17*17=289

4. multiply pi by 289, 3.14*289=907.46

5. round 907.46 to the nearest tenth, 907.5

907.5ft^2 is your answer

hope this helps :)

Answer:

I think your answer is B= 12.

Step-by-step explanation:

Its x times 1 .33333 = y

brainliest?

Answer:

Annual deposit= $8,271.94

Step-by-step explanation:

Giving the following information:

Future Value (FV)= $860,000

Number of periods= 29 years

Interest rate= 8% = 0.08

To calculate the annual deposit, we need to use the following formula:

FV= {A*[(1+i)^n-1]}/i

A= annual deposit

Isolating A:

A= (FV*i)/{[(1+i)^n]-1}

A= (860,000*0.08) / [(1.08^29) - 1]

A= $8,271.94

Answer:

slope of p= -7/12

slope of q= -3/6.8

slope of r= -16/6.4

slope of m= 6.2/15.5

slope of n= 6.8/17

Step-by-step explanation:

The slopes of the line are given as 2.5 for p and q and -2.5 for r, m and n respectively.

The slope of a straight line is the tangent of the angle formed by it with the positive x axis as the reference.

The negative slope indicates the rate of decrease while the positive shows the rate of increase.

The slope of the given lines can be obtained as follows,

(a) In order to find slope of line p,

Use the formula m = (x₂ - x₁)/(y₂ - y₁) and substitute the corresponding values to get,

m = (-3 - 8)/(0.4 - (-4))

⇒ m = -2.5

(b)  In order to find slope of line q,

Use the formula m = (x₂ - x₁)/(y₂ - y₁) and substitute the corresponding values to get,

m = (13 - 0)/(6.8 - 12)

⇒ m = -2.5

(c)  In order to find slope of line r,

Use the formula m = (x₂ - x₁)/(y₂ - y₁) and substitute the corresponding values to get,

m = (13 - (-3))/(6.8 - 0.4)

⇒ m = 2.5

(d) In order to find slope of line m,

Use the formula m = (x₂ - x₁)/(y₂ - y₁) and substitute the corresponding values to get,

m = (-15.5 - 0)/(0 - 6.2)

⇒ m = 2.5

(e)  In order to find slope of line n,

Use the formula m = (x₂ - x₁)/(y₂ - y₁) and substitute the corresponding values to get,

m = (-5 - 12)/(- 6.8 - 0)

⇒ m = 2.5

Hence, the slopes of first two lines are 2.5 and of the remaining three are 2.5.

To know more about slope click on,

https://brainly.com/question/3605446

#SPJ2

Answer:

I believe it is B -4/5 I am sorry if I am wrong. If I am right hope this helps and please mark brainlist.

Answer:

3/4

Step-by-step explanation:

15/20 is 3/4. therefore, according to the previous data, it is 3/4.

P.S. I looked at your answers and you cannot just spam random answers. thats rude and it violated the honor code. how would you feel if you posted a question and the answer was just random letters. and then you failed your test. thats not nice. and you are on canvas, because i use it too, and i know what it looks like. you cannot cheat on a test, as this is not what Brainly is for. im just so dissapointed because you disrespect others.

Answer:

y= x ^3 - 4x

Step-by-step explanation:

Regroup terms.

y=x^3 +2x−6x

Simplify x^3 +2x−6x  to x^3 −4x.

AAAAANNNNNnnNNND the answer  is

y= x^3 - 4x

IN GRAPH

Answer:

the answer is -120

Step-by-step explanation:

trust :)

Answer:

84 degrees

Step-by-step explanation:

Vertical angles, then corresponding

Answer:

hi

Step-by-step explanation:

Answer:

I'm pretty sure its obtuse triangle

Answer:

The answer is J.

Step-by-step explanation:

50% of 800 is 400.

125+275=400

Answer:

Step-by-step explanation:

Take 125 and divide by 500 this equals 0.25 or 25%

Answer:

x=25

Step-by-step explanation:

[tex]\frac{125}{500} *\frac{x}{100}[/tex] this is just a typical percent equation

[tex]12500=500x[/tex]  cross multiply

x=25 divide by 500 to get the answer

Answer:

150

Step-by-step explanation:

maybe it could be like this

0.40x = 240

we could get x = 600

then 0.25x = 600 × 0.25 = 150

Step-by-step explanation:

2x+x=.3+.8

3x= 1.1/:3

x=0.366

Answer:

x = -2.566667

Step-by-step explanation:

simplify both sides

8 + 2x = 0.3 - x

8 + 2x = 0.3 + - x

2x + 8 = - x + 0.3

add x to both sides

2x + 8 + x = - x + 0.3 + x

3x + 8 = 0.3

subtract 8 from both sides

3x  + 8 - 8 = 0.3 - 8

3x = -7.7

divie both sides by 3

3x/3 = -7.7/3

x = -2.566667

Answer:

A

Step-by-step explanation:

You want to double the 3 into the right square. Then add 15. After that, move the 7 into the 10 square.And there you go. You got 19-

Answer:

Arranging from longest (at top) to shortest (at bottom)

DF

EF

DE

Step-by-step explanation:

We need to place the sides of triangle DE, DF and EF from longest to shortest.

The triangle has longest side that is opposite to the largest angle

We know two angles < E= 61° , <F= 59° we need to find <D

Sum of angles of triangle = 180°

So, 61°+59°+<D=180°

120°+<D=180°

<D=180°-120°

<D=60°

So, the largest angle is <E= 61°

The longest side must be opposite to <E so, the side is DF

The second largest angle is <D=60° so, second side will be EF

The smallest angle is <F=59° so, third (shortest) side will be DE

Arranging from longest (at top) to shortest (at bottom)

DF

EF

DE

Answer:

C. She used GF = 2BG, but the correct statement is BG = 2GF.

Step-by-step explanation:

credits to the other person!

Answer:

C.

Step-by-step explanation:

Edge 2021

Given:

Henry can type 3500 words in 70 minutes.

Colin can type 1500 in 30 minutes.

Brian can type 2200 words in 40 minutes.

To find:

The person who types at the fastest rate of words per minute.

Solution:

We know that,

[tex]\text{Rate of words per minute}=\dfrac{\text{Number of words}}{\text{Number of minutes}}[/tex]

Using this formula, we get

[tex]\text{Henry's rate of words per minute}=\dfrac{3500}{70}=50[/tex]

[tex]\text{Colin's rate of words per minute}=\dfrac{1500}{30}=50[/tex]

[tex]\text{Brian's rate of words per minute}=\dfrac{2200}{40}=55[/tex]

Since 55>50, therefore Brian's types at the fastest rate of words per minute.

Answer:

I think the answer is x= -7.

Answer:

10

Step-by-step explanation:

Acc to question, the workers have installed 240 chairs in 4 days which equals 60 chairs in 1 day.

So the will require 600 /60 =10 days from the start.