All categories

3 years ago

What is the solution of the system of equations c+3d=8 and c=4d-6? Show work plz.

1 answer:

6 0

$\left\{\begin{array}{ccc}c+3d=8\\c=4d-6\end{array}\right\\\\substitute:\\\\(4d-6)+3d=8\\4d+3d-6=8\ \ \ \ /+6\\7d=14\ \ \ \ /:7\\d=2\\\\c=4\cdot2-6=8-6=2\\\\\left\{\begin{array}{ccc}c=2\\d=2\end{array}\right$

You might be interested in

In two circles, but the radius of the

kipiarov [429]

Answer:

6.76 m^2

Step-by-step explanation:

Large circle area = pi r^2 = pi L^2 = 60.84

then L = sqrt (60.84/pi)

Small circle radius = r = 1/3 L

small circle area = pi r^2

= pi ( 1/3 sqrt (60.84/pi))^2 = 6.76 m^2

3 0

2 years ago

Which of the following phrases could represent the expression k - 4? a number subtracted from four four less a number a number d

ad-work [718]

Hey!

Your answers are:

- 4 less than a number

- A number decreased by 4

Let k represent "a number". "k" is a variable, and variables are unknown.

-4 is subtracting 4. That means you're subtracting 4 from a number. -4 also means that the number is decreasing by 4. Therefore, those 2 are your answers.

<em>I hope this helps!</em>

4 0

3 years ago

Read 2 more answers

Which factorization is incorrect? 1) x3 + 5x2 + 4x + x2 + 5x + 4 = (x + 4)(x + 1)2 2) 4d3 – 4d2 – 9d + 9 = (d – 1)(2d – 3)2 3) 2

Andru [333]

Answer:

The second option is the incorrect:

2) 4d3 – 4d2 – 9d + 9 = (d – 1)(2d – 3)^2

Step-by-step explanation:

Let's check each one of the factorizations:

1) x3 + 5x2 + 4x + x2 + 5x + 4 = (x + 4)(x + 1)^2

(x + 4)(x + 1)^2 = (x + 4)(x2 + 2x + 1) = x3 + 6x2 + 9x + 4

x3 + 5x2 + 4x + x2 + 5x + 4 = x3 + 6x2 + 9x + 4

This one is correct.

2) 4d3 – 4d2 – 9d + 9 = (d – 1)(2d – 3)^2

(d – 1)(2d – 3)^2 = (d - 1)(4d2 - 12d + 9) = 4d3 - 16d2 + 21d - 9

4d3 – 4d2 – 9d + 9 = 4d3 - 16d2 + 21d - 9

This one is incorrect.

3) 27h3 – 8k3 = (3h – 2k)(9h2 + 6hk + 4k2 )

(3h – 2k)(9h2 + 6hk + 4k2 ) = 27h3 - 8k3

This one is correct.

4) 64 – 9t2 = (8 + 3t)(8 – 3t)

(8 + 3t)(8 – 3t) = 64 - 9t2

This one is correct.

So the incorrect option is the second one.

4 0

2 years ago

Is 3.5 > or < or equal to 1/2

Sloan [31]

Simple, we know > sign is greater than sign and < sign means less than sign. We divide 1/2 and that gets us 0.5. 3.5 is greater than 1/2 so the answer would be 3.5>1/2

5 0

3 years ago

Read 2 more answers

Need help on question 22

zhannawk [14.2K]

You multiply 5 times 10, which gives you 50. This is the length of one side. Since it's a square, all sides are the same length.

Answer: 50cm x 50cm

5 0

2 years ago

Read 2 more answers