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Sphinxa [80]
3 years ago
5

2. John has written too many checks

Mathematics
1 answer:
nignag [31]3 years ago
4 0
127.98 money he need
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If you know how to do it, please help me out :)
Artemon [7]

Answer:

Answer in explanation.

Step-by-step explanation:

Lets take

y =  \frac{3}{4} x - 5

as L1.

Take L2 the line perpendicular to L1.

Standard form of equation of line:

y=mx+c, where m = slope and c = y-intercept.

Since L1 and L2 are perpendicular,

mL1 x mL2 = -1

Substitute mL1 into the equation,

3/4 x mL2 = -1

mL2 = -1 ÷ 3/4

mL2 = -4/3

L2 : y = mx+ c

Substitute y = 6, x = 8 and m = -4/3 into the equation,

6 =  -  \frac{4}{3} (8) + c \\ 6 = -  \frac{32}{3}  + c \\ c = 6 +  \frac{32}{3}  \\  = 16 \frac{2}{3}

therefore L2:

y =  -  \frac{4}{3}x   + 16 \frac{2}{3}

Lets take L3 as the line parallel to L1.

Since L3 and L1 are parallel,

mL3 = mL1 = 3/4

equation of line: y = mx+c

substitute y = 6, x = 8 and m = 3/4 into equation.

6 = ( \frac{3}{4} )(8) + c \\ 6 = 6 + c \\ c = 6 - 6 \\  = 0

therefore L3:

y =  \frac{3}{4} x

8 0
2 years ago
25 pts to who ever can help with this question:
pentagon [3]

Answer:

A. 5s+2

B. 8s+8

C. 75

D. 27

Step-by-step explanation:

Is difficult to read the exact expressions. If a mistake is present then fix the number and use the same method.

A. The perimeter of the square is all 4 equal sides added together. The length of a side is \frac{5s+2}{4}. Since there are four sides then:

P= \frac{5s+2}{4}+\frac{5s+2}{4}+\frac{5s+2}{4}+\frac{5s+2}{4} = 5s+2

Adding 1/4+1/4+1/4+1/4=1. This applies here leaving 5s+2 as the answer.

B. The perimeter of the rectangle is all four sides added together. A rectangle has two pairs of equal side so P = 2l+2w.

P = 2(s+9) + 2(3s-5)\\P = 2s+18 +6s-10\\P=8s+8

C. If s=5 then the sum of the two perimeters is:

5s+2+8s+8

5(5)+2+8(5)+8

25+2+40+8

75

D. Subtract the two perimeters by computing s=7:

8s+8 -(5s+2)

8s+8-5s-2

8(7)+8-5(7)-2

56+8-35-2

64-35-2

29-2

27


3 0
3 years ago
What is 6-3 plus the square root of 4
Sonja [21]

Answer:

5

Step-by-step explanation:

6 - 3 = 3

√4 = 2

3 + 2 = 5

3 0
3 years ago
Read 2 more answers
*Click the photo*
Charra [1.4K]

Answer:

137.5 Miles

Step-by-step explanation:

2 = 50 Right? So if you were to divide 50 by 2, you would get 1 = 25. All you would have to do from there would be to multiply 25 times 5.5 to get 137.5.

8 0
3 years ago
Read 2 more answers
Evaluate 6²-7²+8²-9²+..+998²-999²​
Llana [10]

Answer:

-499,485.

Step-by-step explanation:

We can transform this to an arithmetic series by  working it out in pairs:

6^2 - 7^2 = (6-7)(6+7) = -13

8^2 - 9^2 = (8-9)*8+9) = -17  

10^2 - 11^2 = -1 * 21 = -21 and so on

The common difference is -4.

The number of terms in this series  is (998 - 6) / 2 + 1

= 992/2 + 1 = 497.

Sum of n terms of an A.S:

= n/2 [2a1 + (n - 1)d  

Here a1 = -13, n = 497, d = -4:

Sum = (497/2)[-26 - 4(497-1)]

= 497/2 * -2010

= -499,485.

3 0
3 years ago
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