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3 years ago

Please help me! Thanks

Mathematics

1 answer:

o-na [289]3 years ago

5 0

Answer:

a) Graph are attached ,Red line shows the function y=3x-2 while blue line represents the function y=-5

b)(x,y)=(-1,-5)

Step-by-step explanation:

b)To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be in the point where the two lines intersect.

c)Given that

y=-5

and y=3x-2

compare the right hand side of the above two equation and solve for x

3x-2=-5

or 3x=-3

or x=-1

so the solution to the given system of linear equations is =(-1,-5)

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3. Candace drew quadrilateral ABCD with vertices A(3, 3), B(5, 3), C(7, 1), and D(1, 1). Miguel wants to dilate Candace's quadri

Anuta_ua [19.1K]

Answer:

D-Quadrilateral A'B'C'D' will be congruent to quadrilateral ABCD.

Step-by-step explanation:

The scale factor is equal to 1. Hence, the quadrilateral A'B'C'D' will be identical to quadrilateral ABCD, whose vertices are the same.

The algebraic expression of the dilation is:

$(x',y') = (x,y)$

Besides, the coordinates of the new quadrilateral are A'(3, 3), B'(5, 3), C'(7, 1), and D'(1, 1)

And quadrilateral A'B'C'D' will be congruent to quadrilateral ABCD.

Therefore, the right answer is D.

8 0

3 years ago

You were planning on reading the last book of the hunger games. The book is 350 pages long and you have read 3/5 of the book so

Mrac [35]

Hello!

To find this answer, you would have to find out what 3/5 of 350 is.

3/5 of 350 is 210.

Then you subtract 210 from the total amount of pages.

350-210=140

140 is the amount of pages you have left to read.

Hope this helps! :D

3 0

3 years ago

Read 2 more answers

−2 1/2 ÷ 6 =?

Artist 52 [7]

-2 1/2 ÷ 6
= -(5/2) ÷ 6/1
= -(5/2) × 1/6
=-(5/12)

8 0

3 years ago

Use Euler’s method to estimate the value of y(20). Use a step size of ∆x = 5. Please fill out the remainder of the chart complet

crimeas [40]

Answer:

y(20)=14,322

Step-by-step explanation:

We need to solve the equation:

$dy/dx=0.4xy$

with initial point

$y(0) = 2$

with incerments

$\Delta x=h=5$

By Euler's method, we have:

$y(x+h)=y(x)+h*f'(x,y)$

We start with the initial point

$y(5)=y(0)+5*f'(0,2)=2+5*(0.4*0*2)=2$

And we continue until we reach the value for y(20)

$y(10)=y(5)+5*f'(5,2)=2+5*(0.4*5*2)=2+20=22\\\\\\y(15)=y(10)+5*f'(10,22)=22+5*(0.4*10*22)=22+440=462\\\\\\y(20)=y(15)+5*f'(15,462)=462+5*(0.4*15*462)=462+13,860\\\\y(20)=14,322$

4 0

3 years ago

Kimberly and Mike have an equal amount of money. After Kimberly spent $50 and Mike spent $25, Mike's money is 50% more than Kimb

Paul [167]

Answer:

Kimberly and Mike had at first $100 each

Step-by-step explanation:

Assume that Kimberly and Mike each have $x

∵ Kimberly has $x

∵ Kimberly spent $50

- Find the reminder with Kimberly by subtracting 50 from x

∴ The money left with Kimberly = x - 50

∵ Mike has $x

∵ Mike spent $25

- Find the reminder with Mike by subtracting 25 from x

∴ The money left with Mike = x - 25

∵ Mike's money is 50% more than Kimberly's money

- That means Mike's money is more than Kimberly's money by

50% of Kimberly's money

∴ x - 25 = (x - 50) + 50%(x - 50)

∵ 50% = $\frac{50}{100}$ = 0.5

∴ x - 25 = (x - 50) + 0.5(x - 50)

- Simplify the right hand side

∴ x - 25 = x - 50 + 0.5x - 25

- Add the like terms in the right hand side

∴ x - 25 = 1.5x - 75

- Add 75 to both sides

∴ x + 50 = 1.5x

- Subtract x from both sides

∴ 50 = 0.5x

- Divide both sides by 0.5

∴ 100 = x

∵ x represents the amount of money that Kimberly and

Mike each had at first

∴ Kimberly and Mike had at first $100 each

7 0

3 years ago