The midpoint of AB is M(2, 0) If the coordinates of A are (-3, 3) what are the coordinates of B

Answer:

20

Step-by-step explanation:

This equation is in slope-intercept form which is y=mx+b where m is the slope and b is the y-intercept. Therefore, the slope is 20

[tex]\bold{\huge{\green{\underline{Solution}}}}[/tex]

[tex]\bold{\underline{ To\: Find }}[/tex]

[tex]\bold{\underline{ Let's \: Begin }}[/tex]

Here,

Therefore,

According to parallelogram law of resultant vector

If two vectors are represented by two adjacent sides of a parallelogram drawn from a point , the their resultant is equal to the diagonal of the parallelogram.

That is,

[tex]\sf{ R = AC^{2}= A^{2}+ B^{2}}[/tex]

But, we have to calculate the magnitude of the resultant vector

[tex]\sf{ | R |= √A^{2}+ B^{2}+ 2ABCos{\theta} }[/tex]

Subsitute the required values,

[tex]\sf{ | R |=\sqrt{ (10)^{2} + (15)^{2} + 2× 10 × 15 × cos 60{\degree}}}[/tex]

[tex]\sf{ | R | =\sqrt{ 100 + 225 + 20 × 15 × 1/2}}[/tex]

[tex]\sf{ | R | = \sqrt{100 + 225 + 10 × 15 }}[/tex]

[tex]\sf{ | R | = \sqrt{335 + 150 }}[/tex]

[tex]\sf{ | R | = \sqrt{485 }}[/tex]

[tex]\sf{\red{ | R | = 22.02 \: km}}[/tex]

Hence, The magnitude of the car resultant vector is 22.02 km.

Answer:

322 ft²

Step-by-step explanation:

Trapezoid area formula:

[tex]A=\frac{a+b}{2} *h[/tex]

Given:

a = 11

b = 35

h = 14

Work:

[tex]A=\frac{a+b}{2} *h\\\\A=\frac{11+35}{2} *14\\\\A=\frac{46}{2} *14\\\\A=23*14\\A=322[/tex]

Answer:

322 ft^2

Step-by-step explanation:

for a trapezoid A= base 1+ base 2 divided by 2, multiplied by the height

(35+11/2)*14= 322

Answer:

-1/2d + f

Step-by-step explanation:

cmon fam I know you know how to do this just find the least common denominator and subtract like terms (numbers with the same variable) and then simplify the fractions

Answer:

$13.80

Step-by-step explanation:

if it's only asking how much he had after buying the oil pastels, it's just 20-6.20 which is 13.80

Answer:

C=70b

Step-by-step explanation:

multiply each number in b by 70  to get the correct answer of c

Answer:

Tessa receives £60

Step-by-step explanation:

The ratio is 5:3 so 5+3=8 which is then what you use to divide 96

96/8=12

12x5(the 5 comes from the ratio for Tess) is 60 therefore she receives £60

Answer:

Step-by-step explanation:

Tesa and Vivienne share £96 in the ratio 5:3. How much does Tesa receive?​

96 : (5 + 3) = 12

12 * 5 = 60

Answer:

y = -11/12x + 4

Step-by-step explanation:

(-12,15) and (0.4)

4 - 15 = -11

0 -(-12) = 12 (since minus a negative = positive)

-11/12

Then just put the numbers.

15 = -11/12(-12)

15 = 11 + b

4 = b

Additional Information:

Slopes are really fun to do, but they get tricky and confusing. By the way, I am 14 years old and I did slopes, and I'm not the best at this, so I might be wrong. :( Don't hate me.

Answer:

  -11/12

Step-by-step explanation:

The slope of the line is the difference in y-values divided by the difference in x-values. It is ...

  m = (y2 -y1)/(x2 -x1)

  m = (4 -15)/(0 -(-12)) = -11/12

The slope of the line through the given points is -11/12.

Answer:

true? i think

Answer:

c letter is correct I think....

Answer:

y=6x-4

Step-by-step explanation:

First find the slope using the coordinates of (-1,-10) which will be your first pair x1 and y1. And (3,14) will be x2 and y2. To find the slope use this formula: m= y2-y1/x2-x1

Put the numbers of the coordinates in the formula and you get a fraction of

24/4 = 6 this is the slope

m=6

Then to find the y-int

Pick a coordinate they both will give the same answer. Put it into the point slope formula: y-y1=m(x-x1)

Only use y1, x1, and m which is 6 And solve

y-14=6(x-3) distribute the 6 this gives you
y-14=6x-18 to get y by itself, ADD 14 to both sides of the equal sign

Leaving you with y=6x-4

(-4,7) 180 counterclockwise is

(4,-7)

Answer:

B) (20,8) , (30,13) , (40,18)

Step-by-step explanation:

To check: (20,8)

y = 1/2x - 2

8 = 1/2(20) - 2

8 = 10 - 2

8 = 8

This is true, which makes our point true.

To check: (30,13)

y = 1/2x - 2

13 = 1/2(30) - 2

13 = 15 - 2

13 = 13

This is true, which makes our point true.

To check: (40,18)

y = 1/2x - 2

18 = 1/2(40) - 2

18 = 20 - 2

18 = 18

This is true, which makes our point true.

Hope that helps!

Step-by-step explanation:

A can do 1/(t+2) of the task in 1 hour.

B can do 1/(t+18) of the task in 1 hour.

t×1/(t+2) + t×1/(t+18) = t/t = 1 (the full task is done)

t + t×(t+2)/(t+18) = t+2

t×(t+18) + t×(t+2) = (t+2)(t+18)

t² + 18t + t² + 2t = t² + 20t + 36

2t² + 20t = t² + 20t + 36

2t² = t² + 36

t² = 36

t = 6

Step-by-step explanation:

Substitute t = -9:

[tex]g( - 9) = 3( - 9) - 5[/tex]

Solve:

[tex]g( - 9) = - 27 - 5[/tex]

[tex]g( - 9) = - 32[/tex]

Answer:

y= 3/4x -7

Step-by-step explanation:

equation of a line

y= mx+b

the slope is m

and the y intercept is b

in this case it would be

y= 3/4x -7

Answer:

Step-by-step explanation:

y = mx + b

y = 3/4x - 7

Hope this helps!

Answer:

Radius=10cm

Diameter=20cm

Hope this helps :))))

Answer:

PC = 8

Step-by-step explanation:

BF and CE are medians of the triangle.

On each median the distance from the vertex to the centroid P is twice as long as the distance from the centroid to the midpoint, then

PC = 2 × EP = 2 × 4 = 8

Answer:

Company A makes more for one purchase, and Company B makes more for ten purchases. Company C makes less for one purchase and Company A makes less for ten purchases.

Step-by-step explanation:

Company A: y = -3/5x + 65

Company B: y=1/2x + 62

Company C: 11/25x + 57

Make sure x is 1 then do all the equations, then x is 10 and do all the equations to see which has more amount of money and which has less.

Company A: 64.4 (if x = 1)

Company B: 62.5 (if x = 1)

Company C: 57.44 (if x = 1)

if x = 10

Company A: 59

Company B: 67

Company C: 61.4

(I might be wrong since I'm 14)

Company A makes more for one purchase, and Company B makes more for ten purchases. Company C makes less for one purchase and Company A makes less for ten purchases.

Twenty-seven is 25% of 108

Answer: This is the answer to your equation sorry I had to do It on a doc

Answer:

-4

-4

1

-8

1

Step-by-step explanation:

[tex]x^2-4x-8=0[/tex]

Comparing [tex]ax^2+bx+c=0[/tex]

⇒ a = 1, b = -4 and c = -8

Substituting these values into the quadratic formula:

[tex]x=\frac{-(-4)\pm\sqrt{(-4)^2-4(1)(-8)} }{2(1)}[/tex]

(The numbers you need to fill in the blanks are in bracket)

Answer:

less

greater

less

greater

Answer:

x= -10

Step-by-step explanation:

[tex]x - ( - 4) = - 6 \\ x = - 6 - 4 \\ x = - 10[/tex]

Answer:

[tex]=> \: x = - 10[/tex]

Step-by-step explanation:

=> x - -4 = -6

=> x -( -4 )= -6

=> Collect like terms

=> x = -6 -4

[tex]=> \: x = - 10[/tex]

Answer:

103.5

Step-by-step explanation:

The area is the height times width, and 4.5 times 23 is 103.5.

Answer:

4cm

Step-by-step explanation:

:)

Answer:

r = 2

Step-by-step explanation:

To find the common ratio (r) of a geometric sequence, simply divide a term by its previous term.

   8 ÷ 4 = 2

or, 4 ÷ 2 = 2

or, 2 ÷ 1 = 2

Answer:

c. having two solutions

Answer:

C because for there to be two solutions, one or more of the lines graphed would have to be curved, meaning having two solutions is not possible for two linear equations

Answer:

7 units

Step-by-step explanation:

the distance between -2 and 4 on the x axis is 7

and then i found the middle point and tried to find the length of it on the y axis

Answer: H<14

Expelnation:2

h

+

8

>

3

h

−

6

8

>

h

−

6

(subtract

2

h

from both sides)

14

>

h

(add

6

to both sides)

or

h

<

14