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MariettaO [177]
3 years ago
7

Work out the area of a rectangle with base, b = 36mm and perimeter, P = 94mm.​

Mathematics
1 answer:
Alenkasestr [34]3 years ago
7 0

Answer:

396

Step-by-step explanation:

A = bw

A = 36w

P = 2w + 2b

94 = 2w + 2(36)

94 = 2w + 72

-72           -72

--------------------

22 = 2w

----    ----

2       2

11 = w

A = 36(11)

A = 396

The area of the rectangle will be 396.

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3x^2+kx=-3 What is the value of K will result in exactly one solution to the equation?
Scorpion4ik [409]

Answer:

For k = 6 or k = -6, the equation will have exactly one solution.

Step-by-step explanation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = (x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}

x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}

\bigtriangleup = b^{2} - 4ac

If \bigtriangleup = 0, the equation has only one solution.

In this problem, we have that:

3x^{2} + kx + 3 = 0

So

a = 3, b = k, c = 3

\bigtriangleup = b^{2} - 4ac

\bigtriangleup = k^{2} - 4*3*3

\bigtriangleup = k^{2} - 36

We will only have one solution if \bigtriangleup = 0. So

\bigtriangleup = 0

k^{2} - 36 = 0

k^{2} = 36

k = \pm \sqrt{36}

k = \pm 6

For k = 6 or k = -6, the equation will have exactly one solution.

3 0
3 years ago
Val walks 2 3/5 miles each day. Bill runs 10 miles once every 4 days. In 4 days, who covers the greater distance?
stepan [7]
Val does because he covers 10.4 miles. Hope that helps.
8 0
3 years ago
Please need answers 7 please need now
podryga [215]

Answer:

-15

Step-by-step explanation:

as i said if the signs are different the result is negative

3 0
3 years ago
Out of a group of 20 volunteers, 14 people are chosen to participate in a survey about the
AlladinOne [14]

Answer:

A-The 14 people selected to participate

Step-by-step explanation:

8 0
3 years ago
??????????????????????
adell [148]
Hello!

You have to find the area of the first rectangle

13 * 25 = 325

Next find the area of the second rectangle

The base is quadripled

13 * 4 = 52

52 * 25 = 1300

Divide the area of rectangle 2 by the area of rectangle 1

1300/ 325 = 4

The answer is D. 4 times bigger

Hope this helps!
5 0
3 years ago
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