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2 years ago

A rectangle is shown. All angles are right angles. The length of one side is 2 x and the length of another side is 3 x + 3.

Mathematics

1 answer:

Alexxx [7]2 years ago

6 0

If you are on edge the answer is option D

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Can someone plz help me.

Arlecino [84]

Is there more than one answer to the problem. if so can I see them.

8 0

3 years ago

A tank is full of oil weighing 30 lb/ft3. The tank is an inverted right rectangular pyramid (with the base at the top) with a wi

Gwar [14]

Answer:

Step-by-step explanation:

density of oil, d = 30 lb/ft³

Volume of tank, V = l x w x h = 1 x 2 x 1 = 2 ft³

mass of oil, m = Volume x density of oil = 1 x 30 = 30 lb

Work = m x g x h = 30 x 32 x 3 = 2880 units

5 0

4 years ago

The pet doctor weighs Marc's dog every year. Last year, the dog lost 3.73 pounds from the previous year. This year, the dog gain

levacccp [35]

Answer:

-2.26 lb

Step-by-step explanation:

Let the dog's initial weight be d.

Then, one year later, the dog weighs 3.73 lb less, and thus weighed d - 3.73 lb.

During the next year, the dog gained 1.47 lb, so now weighs d - 3.73 + 1.47 lb, or

d - 2.26 lb. This indicates a total weight loss of 2.26 over these two years.

6 0

3 years ago

The nth term of a quadratic sequence is an^2 + bn + c.

kupik [55]

Answer:

a = 3, b = -1, c = 2

Step-by-step explanation:

an^2 + bn + c

n = 1:

a + b + c = 4 Eq. 1

n = 2:

4a + 2b + c = 12 Eq. 2

n = 3:

9a + 3b + c = 26 Eq. 3

Eq. 2 minus Eq. 1

3a + b = 8 Eq. 4

Eq. 3 minus Eq. 2

5a + b = 14 Eq. 5

Eq. 5 minus Eq. 4

2a = 6

a = 3

Plug in a = 3 into Eq. 4

3(3) + b = 8

b = -1

Plug in a = 3 and b = -1 into Eq. 1.

3 - 1 + c = 4

c = 2

Answer: a = 3, b = -1, c = 2

3 0

3 years ago

Question 1 (5 points): Consider the system of linear equations x1 − 4x2 − x4 = −7 x2 − 2x4 = 3 x4 + 2x5 = 3 (a) Write down the c

Alika [10]

Answer:

Step-by-step explanation:

Given is a system of equations as

$x1-4x2 - x4 = -7\\ \\x2 - 2x4 = 3 \\\\x4 + 2x5 = 3$

We have 5 variables and 3 equations

a) coefficient matrix of this system is

1 -4 0 -1 0\\

0 1 0 -2 0\\

0 0 0 1 2\\

We find that x3 has no coefficient in any of the equations so we can omit x3 and write as equations for 4 variables as

1 -4 -1 0\\

0 1 -2 0\\

0 0 1 2\\

b) Augmented matrix is

1 -4 -1 0\\ 7

0 1 -2 0\\ 3

0 0 1 2\\3

c) For row operations to ehelon form

we can do R1+4R2 = R1

We get

1 0 -9 0 \\ 19

0 1 -2 0 \\ 3

0 0 1 2 \\ 3

Now let us do R1 = R1+9R3 and R2 = R2+2R3

1 0 0 0 \\ 46

0 1 0 0 \\ 9

0 0 1 2 \\ 3

d) We find that there are infinite solutions to the system in parametric form, since x4 and x5 are linked with only one equation

e) x1 = 46, x2 = 9, x4+2x5 =3

Or x1 =46, x2 =9, x4 = 3-2x5, x5 = x5 is the parametric solution

8 0

4 years ago