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ELEN [110]
3 years ago
9

Find the distance between the pair of parallel lines, y = x-11 & y = x-7

Mathematics
2 answers:
kenny6666 [7]3 years ago
6 0
k:\ y = x-11\ \ \ \Leftrightarrow\ \ \ x-y-11=0\\ and\\ l:\ y = x-7\ \ \ \Leftrightarrow\ \ \ x-y-7=0\\\\the\ distance:\\\\ d(k;l)= \frac{\big{|-11-(-7)|}}{\big{ \sqrt{1^2+1^2} }} =\frac{\big{|-11+7|}}{\big{ \sqrt{2} }} =\frac{\big{|-4|}}{\big{ \sqrt{2} }} =\frac{\big{4\cdot \sqrt{2} }}{\big{ \sqrt{2}\cdot \sqrt{2}  }} =\frac{\big{4 \sqrt{2} }}{\big{2 }} =2 \sqrt{2}
Anarel [89]3 years ago
6 0
Given \ the \ equations \ of \ two \ non-vertical \ parallel \ lines:\\\\y = mx+b_1\\y = mx+b_2\\\\the \ distance \ between \ them \ can \ be \ expressed \ as : \\\\d= \frac{|b_{1}-b_{2}|}{ \sqrt{ m^2+1} }

y = x-11 \\ y = x-7 \\\\\\d= \frac{| -11- (-7)|}{ \sqrt{ 1^2+1} } =\frac{| -11+7|}{ \sqrt{ 1+1} } = \frac{|-4|}{ \sqrt{2} } = \frac{4}{ \sqrt{2} }\cdot \frac{\sqrt{2}}{\sqrt{2}}=\frac{4\sqrt{2}}{2}=2\sqrt{2}
 

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Answer: just simplify condense it then your answer will be log(16)

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2 years ago
Sanam eats 5 almonds daily. How many almonds does she eat in 157 days?​
Ede4ka [16]

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785 almonds

Step-by-step explanation:

157 x 5 = 785

8 0
2 years ago
Brian bought a new air conditioning unit on his credit card. The unit had a base price of $435. Brian made no other purchases on
Svetlanka [38]

Answer:

D is the correct answer

Step-by-step explanation:

Given:

Unit base price: $435

Credit Card interest rate, i = 9.4% compounded monthly; i = 0.00783/month comp monthly

n = 1.5 years = 18 months

sales tax = 8.51%

First, determine the actual price of the unit by adding the sales tax to the base price of the unit:

$435 * (1 + 0.0851)

Actual price = $472.0185

So, the total amount paid by Brian should be higher than the actual price since he used his credit card. Use the formula from economics:

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Therefore, the total amount paid by Brian is $507.96.

(Hope this helps can I pls have brainlist (crown) ☺️)

3 0
2 years ago
[MATH] I need help on all of them! Please and thank you <33
REY [17]

Answer:

2) 45

3) 25

4) 50%

5) 33.3%

6) 17.6

7) 500

8) 35%

9) 60

10) 87.5%

11) 2.64

12) 25%

13) 5.7

14) 85%

16) 75%

Step-by-step explanation:

2) 9 = 20% of x

9 * 5 = 45

3) 8% of x = 2

12.5 * 2 = 25

4) 39 = x(78)

39/78 = 1/2 = 50%

5) x(36) = 12

12/36 = 1/3 = 33.3...%

6) x = 0.8(22)

22/10 = 2.2

2.2* 8 = 16 + 1.6 = 17.6

7) 55 = 0.11(x)

55/11 = 5

5 * 100 = 500

8) 7/20 = 35/100 = 35%

9) 27 = 0.45(x)

27/45 = 3/5

3/5 * 100 = 300/5 = 60

10) . 49/56 = 7/8 = 0.875 = 87.5%

11) 6/100 = 0.06

0.06 * 44 = 2.64

12) 48/192 = 6/24 = 1/4 = 25%

13) 95/100 = 0.95

0.95 * 6 = 5.40 + 0.3 = 5.7

14) 68/80 = 34/40 = 17/20 = 85%

16) 108/144 = 9/12 = 0.75 = 75%

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

3 0
3 years ago
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Allisa [31]

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7 0
3 years ago
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