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2 years ago

Write the coordinates of the vertices after a translation 2 units left and 5 units down. B(0,2). C(9-1) D(9,4) E(0,4)

Mathematics

1 answer:

MrRissso [65]2 years ago

4 0

Answer:

B'(-2, -3)

C'(7, -6)

D'(7, -1)

E'(-2, -1)

Step-by-step explanation:

When you move translate a coordinate horizontally, if it is to the left, you subtract the x value with how many units you move, and if its to the right, you add however many units you move to the x-value. and when you move vertically, if you move down, subtract the amount of units you moved from the y-value, and if you move up, add however many units you moved to the y-value.

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What is the surface area of the cube below?

Elden [556K]

Answer:

150 units^2

Step-by-step explanation:

A cube has all equal sides. This one has five units for every side.

There are 6 faces here, and 4 vertices for every face.

The equation would look like this 6 x side^2.

Which would also equal to 6 x 5^2.

If you do this, you will find that the answer is 150 units^2.

7 0

3 years ago

Josiah invests $360 into an account that accrues 3% interest annually. Assuming no deposits or withdrawals are made, which equat

vlabodo [156]

Answer:

y = 360(1.03)x

Step-by-step explanation:

$F = P x (1 + i)^n$

F is the future worth, P is the present worth, I will be the interest rate, and n is the number of years. $F = ($360)(1.03)^x$

The principal amount of the money = $360

Annual rate of interest = 3%

Thus, the amount after x years which is increased by 3%.

Since, this amount represented by y,

The required equation that represents the amount of money in Josiah’s account, y, after x years is, $= 360(1+\frac{3}{100} )^x\\ = 360(1+0.03 )^x\\ = 360(1.03 )^x$

This amount represented by y,

Therefore, the required equation that represents the amount of money in Josiah’s account, y, after x years is,

$y = 360(1.03 )^x$

Hope this helps you!

Have a nice evening! ;)

5 0

3 years ago

Read 2 more answers

4w+5z=30 solve for w

zepelin [54]

Answer:

$w=\frac{30-5z}{4}$

Step-by-step explanation:

$4w+5z=30\\\\4w+5z-5z=30-5z\\\\4w=30-5z\\\\\frac{4w=30-5z}{4}\\\\\boxed{w=\frac{30-5z}{4}}$

Hope this helps.

3 0

3 years ago

What is the x coordinate of the solution of the system? 2x+y=15 and x-y=3

Varvara68 [4.7K]

x - y = 3

x = 3 + y

x -3 = y

y = x-3

put it in 1st equation

2x +y = 15

2x + x - 3 = 15

3x - 3 = 15

3x = 15+3 = 18

x = 18/3 = 6

x = 6

6 0

3 years ago

Please help !!<br>[90 points if correct]

3241004551 [841]

Answer:

2201.8348 ; 3 ; x / (1 + 0.01)

Step-by-step explanation:

Final amount (A) = 2400 ; rate (r) = 6% = 0.06, time, t = 1.5 years

Sum = principal = p

Using the relation :

A = p(1 + rt)

2400 = p(1 + 0.06(1.5))

2400 = p(1 + 0.09)

2400 = p(1.09)

p = 2400 / 1.09

p = 2201.8348

2.)

12000 amount to 15600 at 10% simple interest

A = p(1 + rt)

15600 = 12000(1 + 0.1t)

15600 = 12000 + 1200t

15600 - 12000 = 1200t

3600 = 1200t

t = 3600 / 1200

t = 3 years

3.)

A = p(1 + rt)

x = p(1 + x/100 * 1/x)

x = p(1 + x /100x)

x = p(1 + 1 / 100)

x = p(1 + 0.01)

x = p(1.01)

x / 1.01 = p

x / (1 + 0.01)

7 0

3 years ago