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labwork [276]
3 years ago
10

Someone please help me.

Mathematics
1 answer:
Alexandra [31]3 years ago
5 0

Answer:

y=mx +b  

slope intercept form...

B = y-intercept...

b=9/10

y-intercept = 9/10

Step-by-step explanation:

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The length of a rectangle is 3 centimeters less than four times its width. Its area is 10 square centimeters. Find the dimension
Kay [80]

Answer:

W = 2 cm

L = 5 cm

Step-by-step explanation:

A rectangle is a four sided shape with 4 perpendicular angles. It has two pairs of parallel sides which are equal in distance: width and length. Its area, the amount of space inside it, can be found using the formula A = l*w. If the area is 10 cm² and the length is "3 cm less than 4 times the width" or 4w - 3, you can substitute and solve for w.

A = l*w

10 = (4w - 3)(w)

10 = 4w² - 3w

Subtract 10 from both sides to make the equation equal to 0. Then solve the quadratic by quadratic formula.

4w² - 3w - 10 = 0

Substitute a = 4, b = -3 and c = -10.

w = \frac{3 +/- \sqrt{(-3)^2 - 4(4)(-10)} }{2(4)} = \frac{3 +/- \sqrt{9 +160)} }{8} =  \frac{3 +/- \sqrt{169} }{8} = \frac{3+/-13}{8}

There are two possible solutions which can be found.

3 + 13 / 8 = 16/ 8 = 2

3 - 13 / 8 = -10/8 = -5/4

Since w is a side length or distance, it must be positive so w = 2 cm.

If the width is 2 cm then the length is 4(2) - 3 = 8 - 3 = 5 cm.

8 0
2 years ago
How many ways are there to distribute the cookies if there are six choco- late cookies, six oatmeal cookies and six red velvet c
tangare [24]

Answer:

6

Step-by-step explanation:

7 0
2 years ago
Suppose 81^x = 64.What is 27^x+1?
Genrish500 [490]
What does the <span>^ mean? I feel so stupid</span>
4 0
3 years ago
DUE TODAY AT 4 HELP ME
liq [111]

Answer:

The bar over the 9 means that the nine is repeating itself

7 0
2 years ago
Read 2 more answers
John invested $17,500 that
babymother [125]

Answer:

<u>The future value of the investment after 10 years is $ 29,240.53</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Principal = $ 17,500

Interest rate = 5.2% = 0.052 compounded semiannually

Time = 10 years = 20 semesters

2. What is the future value of the investment after 10 years​?

Let's use the formula of the Future Value, to calculate it for this investment:

FV = P * (1 + r) ⁿ

Let's replace with the real values:

FV = 17,500 * (1 + 0.052/2)²⁰

FV = 17,500 * 1.670887521

<u>FV = 29,240.53</u>

6 0
3 years ago
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