AA′ = 33 m and BC = 7.5 m. The span is divided into six equal parts at E, G, C, I, and K. Find the length of A′B.

Answers

Answer 1
Answer: The correct answer for the question that is being presented above is this one: "18.12."
The image of this triangle is an isosceles triangle with the base being 33m (from angle A to angle A') and the right leg is 7.5 m long (BC) the span or width of the triangle is divided by 6 vertical lines with equal distances from eachother. so we need to find the length of the left leg AB.

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What is 6 divided by 2(1+2)

Answers

Answer:

The answer is 1

Step-by-step explanation:

Remember PEMDAS,  1+2 is 3. 2x3 is 6, then 6 divided by 6 is 1.

Answer:

1

Step-by-step explanation:

6 / 2(1 + 2)

6 / 2(3)

6 / 6 = 1

Mixed Review for Finding SlopeCalculate the slope of the line that contains the following points. Leave answers as fractions - BUT reduce
your fractions as much as possible!!!!!!! SHOW ALL WORK!!!
1) (4,5) and (-4,3)
2) (-2,-4) and (6,7)
3) (2, -4) and (10,12) 4) (1/2,2) and (1,2/3) 5) (1/4,5) and (5/4,12)

Answers

Answer:

1) slope of the line m = (1)/(4)

2) slope of the line     m = (11)/(8)

3) slope of the line   m =2

4) slope of the line   m = (-8)/(3)

5) slope of the line m =7

Step-by-step explanation:

1)

Given points are  (4,5) and (-4,3)

slope of the line  Formula

             m = (y_(2) - y_(1) )/(x_(2)-x_(1)  )

            m = (3 - 5 )/(-4-4 ) = (-2)/(-8) = (1)/(4)

            m = (1)/(4)

2)

Given points are (-2,-4) and (6,7)

slope of the line  Formula

             m = (y_(2) - y_(1) )/(x_(2)-x_(1)  )

            m = (7 - (-4) )/(6-(-2) ) = (11)/(8)

            m = (11)/(8)

3)

Given points are (2, -4) and (10,12)

slope of the line  Formula

             m = (y_(2) - y_(1) )/(x_(2)-x_(1)  )

            m = (12 - (-4) )/(10-(2) ) = (16)/(8) =2

            m = 2

4) Given points are

      (1/2,2) and (1, 2/3)

  slope of the line  Formula

             m = (y_(2) - y_(1) )/(x_(2)-x_(1)  )

            m = ((2)/(3)  - (2) )/(1-((1)/(2) ) ) = ((-4)/(3) )/((1)/(2) )

            m = (-8)/(3)

5)

Given points are

      (1/4,5) and (5/4 , 12)

  slope of the line  Formula

             m = (y_(2) - y_(1) )/(x_(2)-x_(1)  )

            m = (12-5)/((5)/(4) -(1)/(4) ) = (7)/((4)/(4) ) = 7

            m = 7

                     

If y = 2x - 3, then which of the following ordered pairs lies on the graph? (1, -1) (-3, 0) (5, 4)

Answers

Plug in the points and see if they satisfy the equation.

y = 2x - 3

(1, -1)

-1 = 2(1) - 3

-1 = 2 - 3

-1 = -1

So (1, -1) satisfies the equation.

(-3, 0)

0 = 2(-3) - 3

0 = -6 - 3

0 = -9

So (-3, 0) does not satisfy the equation.

(5, 4)

4 = 2(5) - 3

4 = 10 - 3

4 = 7

So (5, 4) does not satisfy the equation.

Therefore your answer is the first one, (1, -1).

I can't figure this outthis question was on my exam and I got it completely wrong
(I have a graphing calculator capble of matrices so yo don't have to solve the system of equations by hand, use rref (reduced row echelon form))


values of a, b, and c and the equation of the graph of the parabola
y=ax^2+bx+c
such that is passes through the points
(2,-15)
(-5,-29)
(-3,5)

rewrite it in the form (x-h)^2=4P(y-k)

show all work
if I were to sub the points in I would ge
(2,-15): -15=4a+2b+c
(-5,-29): -29=25a-5b+c
(-3,5): 5=9a-3b+c

then solve for a, b and c
I don't know how to solve, please help
(if I don't undestand your answer, I will either report or ask you to explain more)

Answers

Suppose that equation of parabola is
y =ax² + bx + c


Since parabola passes through the point (2,−15) then 
−15 = 4a + 2b + c

Since parabola passes through the point (-5,-29), then
−29 = 25a − 5b + c

Since parabola passes through the point (−3,−5), then 
−5 = 9a − 3b + c


Thus, we obtained following system:
4a + 2b + c = −15
25a − 5b + c = −29
9a − 3b + c = −5

Solving it we get that 
a = −2, b = −4, c = 1

Thus, equation of parabola is
y = −2x²− 4x + 1

____________________

Rewriting in the form of 
(x - h)² = 4p(y - k)

i) -2x² - 4x + 1 = y

ii) -3x² - 7x = y - 11
(-3x² and -7x are isolated)

iii) -3x² - 7x - 49/36 = y - 1 - 49/36
(Adding -49/36 to both sides to get perfect square on LHS)

iv) -3(x² + 7/3x + 49/36) = y - 3
(Taking out -3 common from LHS)

v) -3(x + 7/6)² = y - 445/36 

vi) (x + 7/6)² = -⅓(y - 445/36) 
(Shifting -⅓ to RHS)

vii) (x + 1)² = 4(-1/12)(y - 445/36)
(Rewriting in the form of 4(-1/12) ; This is 4p) 


So, after rewriting the equation would be - 

(x + 7/6)² = 4(-⅛)(y - 445/36)

__________________

I hope this is what you wanted.

Regards,
Divyanka♪
__________________
Suppose that equation of parabola is
y =ax² + bx + c


Since parabola passes through the point (2,−15) then 
−15 = 4a + 2b + c

Since parabola passes through the point (-5,-29), then
−29 = 25a − 5b + c

Since parabola passes through the point (−3,5), then 
5 = 9a − 3b + c


Thus, we obtained following system:
4a + 2b + c = −15
25a − 5b + c = −29
9a − 3b + c = 5

Solving it we get that 
a = −3, b = −7, c = 11

Thus, equation of parabola is
y = −3x²− 7x + 11

____________________

Rewriting in the form of 
(x - h)² = 4p(y - k)

i) -3x² - 7x + 11 = y

ii) -3x² - 7x = y - 11
(-3x² and -7x are isolated)

iii) -3x² - 7x - 147/36 = y - 11 - 147/36
(Adding -147/36 to both sides to get perfect square on LHS)

iv) -3(x² + 7/3x + 49/36) = y - 543/36
(Taking out -3 common from LHS)

v) -3(x + 7/6)² = y - 181/12 

vi) (x + 7/6)² = -⅓(y - 181/12) 
(Shifting -⅓ to RHS)

vii) (x + 1)² = 4(-1/12)(y - 181/12)
(Rewriting in the form of 4(-1/12) ; This is 4p) 


So, after rewriting the equation would be - 

(x + 7/6)² = 4(-1/12)(y - 181/12)

_________________
I have corrected the answer and wrote again since the time to correct the answer from that account was expired.
- Divyanka

{16x+y = 4.25
16.90x + 4y = 36.35
1. What does the solution to the system represent?

Answers

Answer:

See below.

Step-by-step explanation:

It represents the coordinates of the point of intersection of the lines represented by the 2 equations.

Do you want them solved?

Given: x - 6 = 1. Choose the solution set. {x | x R, x = -7 } {x | x R, x = 7 } {x | x R, x = 5 }

Answers

X=6 because 7-6=1 , you'd just substitute in the x value and solve for each one

Answer:

{x | x R, x = 7 }

Step-by-step explanation:

x - 6 = 1

x - 6+6 = 1+6

x=7

{x | x R, x = 7 }