I need Help with one and two ..?

The coordinates of M, P and Q in terms of a and b are [tex]M = \frac{1}{2}\cdot a + \frac{1}{2}\cdot b[/tex], [tex]P = \frac{3}{4}\cdot a + \frac{1}{4}\cdot b[/tex] and [tex]Q = \frac{1}{8}\cdot a - \frac{1}{8}\cdot b[/tex], respectively.

In this question we are going to use definitions of vectors and product of a vector by a scalar. Based on the information given on statement, we have the following vectorial formulas:

Location of M

[tex]\overrightarrow{AM} = \frac{1}{2}\cdot \overrightarrow{AB}[/tex]

[tex]\vec M - \vec A = \frac{1}{2}\cdot \vec B - \frac{1}{2}\cdot \vec A[/tex]

[tex]\vec M = \frac{1}{2}\cdot \vec A +\frac{1}{2}\cdot \vec B[/tex]

[tex]M = \frac{1}{2}\cdot a + \frac{1}{2}\cdot b[/tex]

Location of P

[tex]\overrightarrow{AP} = \frac{1}{2}\cdot \overrightarrow{AM}[/tex]

[tex]\vec P - \vec A = \frac{1}{2}\cdot \vec M - \frac{1}{2}\cdot \vec A[/tex]

[tex]\vec P = \frac{1}{2}\cdot \vec A +\frac{1}{2}\cdot \vec M[/tex]

[tex]\vec P = \frac{3}{4}\cdot \vec A + \frac{1}{4}\cdot \vec B[/tex]

[tex]P = \frac{3}{4}\cdot a + \frac{1}{4}\cdot b[/tex]

Location of Q

[tex]\overrightarrow{QM} = \frac{1}{2}\cdot \overrightarrow{PM}[/tex]

[tex]\vec M - \vec Q = \frac{1}{2}\cdot \vec M - \frac{1}{2}\cdot \vec P[/tex]

[tex]\vec Q = \frac{1}{2}\cdot \vec P - \frac{1}{2}\cdot \vec M[/tex]

[tex]\vec Q = \frac{1}{2}\cdot \left(\frac{3}{4}\cdot \vec A + \frac{1}{4}\cdot \vec B\right) -\frac{1}{2}\cdot \left(\frac{1}{2}\cdot \vec A + \frac{1}{2}\cdot \vec B\right)[/tex]

[tex]\vec Q = \frac{1}{8}\cdot \vec A -\frac{1}{8}\cdot \vec B[/tex]

[tex]Q = \frac{1}{8}\cdot a - \frac{1}{8}\cdot b[/tex]

The coordinates of M, P and Q in terms of a and b are [tex]M = \frac{1}{2}\cdot a + \frac{1}{2}\cdot b[/tex], [tex]P = \frac{3}{4}\cdot a + \frac{1}{4}\cdot b[/tex] and [tex]Q = \frac{1}{8}\cdot a - \frac{1}{8}\cdot b[/tex], respectively.

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Answer:

-1 or -0.5

Step-by-step explanation:

f(x) is a common phrase you will see a lot in more advanced math.

Think of it as saying "Function of X". So, when you see f(-1), that means the function of x=-1.

So, when it's asking what value X is in f(-1), remember that that number is the x value.

I say COULD BE -0.5 if it means what y is when x = -1. This is if AND ONLY IF you have a check button to see if -1 is right or the wrong answer. I doubt it is, but I want you to be successful in your work.

I hope this helps :)

Answer:

g(x)=0.5(0.8)^x+2

Step-by-step explanation:

Answer:

the awnser is 2

Step-by-step explanation:

Answer:

2 and 3/4

11/4

Step-by-step explanation:

an improper fraction is any fraction with a numerator bigger then the denominator.

a mixed number is the "proper" version of an improper fraction.

the fraction 11/4 as a mixed number is 2 and 3/4.

to make an improper fraction a mixed number, find out how many times the denominator goes into the numerator. whatever you have left that didn't make 1 whole, turns into the fraction .

hope this helped

Answer:

C

Step-by-step explanation:

5x4=20 that gives u an idea to multiple triangle ABC to 4 to get DEF since they are similar triangles

Answer:

C

Step-by-step explanation:

Multiply 5 by 4 to get FE=20 then multiply each side by 4

Answer:

that  be 34 because you multiply

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

The formula to convert C° to F° is C = 5(F-32)

Answer:77

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

V-5V = -4V

-4V-5V = -9V

-9V+9V = 0

Answer:

f(x)=(x+5)(x-2)

g(x)=(2x+1)(x-2).

x=10x+2

x=3x-2

x=12×+1

x=13

A function is defined as a relation between a set of inputs having one output each.

The point of intersection between the function f(x) and g(x) is x = 4.

A function is defined as a relation between a set of inputs having one output each.

We have,

f(x) = ( x + 5 ) ( x - 2 )

g(x) = ( 2x + 1 ) ( x - 2 )

To find the points of intersection between the two functions we must equal the function.

f(x) = g(x)

( x + 5 ) ( x - 2 ) = ( 2x + 1 ) ( x - 2 )

( x - 2 ) gets canceled

x + 5 = 2x + 1

5 - 1 = 2x - x

4 = x

x = 4

This means that at x =4 the function f(x) and g(x) intersect.

we can see that at x = 4 both the functions have the same value.

f(x) = ( x + 5 ) ( x - 2 ) = ( 4 + 5 ) ( 4 - 2 ) = 9 x 2 = 18

g(x) = ( 2x + 1 ) ( x - 2 ) = ( 2 x 4 + 1 ) ( 4 - 2 ) = ( 8 + 1 ) ( 4 - 2 )

      = 9 x 2

      = 18

Thus the point of intersection between the function f(x) and g(x) is x = 4.

Learn more about functions here:

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Step-by-step explanation:

given the linear inequality y >2x-1 on the coordinate plane.

the true statement is:

C. The graph will have a DASHED boundary line, with shading ABOVE.

for '>' meaning dashed line

Answer:

C. The graph will have a DASHED boundary line, with shading ABOVE.

Step-by-step explanation:

When graphing inequalities:

Given inequality:

[tex]y > 2x-1[/tex]

Therefore, the graph will have a dashed boundary line and shading above the line.

Learn more about graphing inequalities here:

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Answer:

B. :>

Step-by-step explanation:

Answer:

So Y, which represents height, goes down depending on how far you are in time, which is X.

The slope of the graph represents the elevator's descent speed, calculated as 12 feet per second based on the points (1, 838) and (2, 826).

The Slope of the line in the graph represents the rate of change of height with respect to time, or the speed of the elevator's descent.

In this case, the slope can be calculated using the formula: slope = (change in height) / (change in time). We know that the elevator's height changes from 838 feet at 1 second to 826 feet at 2 seconds,

So, the change in height is : 838 - 826 = 12 feet, and the change in time is 2 - 1 = 1 second.

Therefore, the slope is 12 feet/second, this indicates that the elevator is descending at a speed of 12 feet per second.

Learn more about Slope here

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Answer:

Lashonda is not popular. She only received 40% of the votes.

Step-by-step explanation:

8/20 can be simplified to 2/5. If 1/5 is equal to 20%. Then 2 times 20% is 40%.

Answer:

y = 7/9x - 87/9

Step-by-step explanation:

9y = 7x-4

y = 7/9x - 4/9

-5 = 7/9(6) + b

-45/9 = 42/9 + b

b = -87/9

Step-by-step explanation:

option E is your correct answer.

hope this helps you.

Answer:

min{-x^3 + 3 x^2 + 2017} = 2017 at x = 0

yes it's correct............

Answer:

(x + 2y)(x − 2y)

Step-by-step explanation:

x² - 4y²

(x + 2y)(x − 2y)

Answer:

56

Step-by-step explanation:

Answer:

173.5

Step-by-step explanation:

The answer is 173.5

To solve this type of equation we first have to find the unit rate, in this case, the unit rate is dollars every hour, in order to find this we have to divide 86 by 4 as shown below

[tex]86/4=21.5[/tex]

Therefore the unit rate is 21.5$ every hour so in order to find how much money she was paid after 9 hours we have to multiply 21.5 by 9, which is shown below

[tex]9x21.5=173.5[/tex]

Thus, that is how much money Lin will be paid after 9 hours of work.

Hope this Helps!

Answer:

5/11 = 0.45454545......

so, option c.

Answer: 16.25 or 16 1/4 miles a week

Step-by-step explanation:

Since the route is 3.25 miles long, and chloe and corinne ride the route 5 times a week, we can use the equation 3.25 x 5 to get to our solution.

3.25 x 5 = 16.25

Answer:

Only the position changes with translation. Other measures, including slope and length, remain the same.

Step-by-step explanation:

Line segment CD can be placed directly on top of line segment AB. The translated segment has the same length and orientation as the original

Answer:

irdk

Step-by-step explanation: