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alexdok [17]
2 years ago
15

Write the slope intersect form of the equation. Through (8,1) perpendicular to y =1/2x +2

Mathematics
1 answer:
dolphi86 [110]2 years ago
6 0

Answer:

Step-by-step explanation:

y= -(1/2)x - 5

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Solve 4t(t - 5) - 2t(3t + 2) + 108 = 3t(2t - 5) -t (8t - 3) .​
rusak2 [61]

Answer:

the answer is t=9

Step-by-step explanation:

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Please help and explain
m_a_m_a [10]

Answer:

c

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One column of numbers consists of 33, 58, and 17. When the digits of the
Tom [10]

<u>Answer:</u>

Only (B) is correct.

<u>Step-by-step explanation:</u>

Let, if the numbers in 2nd column are added  , the sum is  same as the sum of numbers in the 1st column and obviously all are integers and the sum is,

   (33 + 58 +17) =108---------(1)

Now , let the  3 numbers in 2nd column are,

 1. a \times 100 + b \times 10 + c

2.  d \times 100 + e \times 10 + f

and

3. g \times 100 + h \times 10 + i

So, the sum of the digits of the numbers  in the 2nd colum  are,

 ( a + b +c +d +e +f +g +h + i)  -------------(2)

Now, c +f +i =  8 or 18 (since the last digit is 8 and  0 ≤ c + f +i ≤ 27)

Now,

 sum of the numbers in 2nd column,

= (a + d + g) \times 100 + (b +e +h) \times 10 + (c + f + i) =108

  = 1 \times 100 + 0 \times 10 + 8  -----------(3)

or = 0 \times 100 + 10 \times 10 + 8 -------------(4)

or = 0 \times 100 + 9 \times 10 + 18 -----------(5)

it must fall in one of above 3 forms i.e., (3) or (4) or (5)

in case (3),

(a + b + c + d + e + f + g + h + i) =  (1 +8) = 9 ---- (6)

in case (4)

(a + b + c + d + e + f + g + h + i) =  (10+8) = 18 and (1 + 8) =9 ---------(7)

in case (5)

(a + b + c + d + e + f + g + h + i) = (9 + 18) = 27 and 2 + 7 = 9 -------(8)

So, when the sum of numbers in the 2nd column is equal to the sum of numbers in the 1st column, the sum of digits of the numbers in  the 2nd column will be 9.

So, when the sum of digits of the numbers in  the 2nd column is not  9, the sum of those numbers won't be equal to the sum of numbers in the 1st column.

So, only (B) is correct.

[Note , that (C) is false. e.g. when the numbers in 2nd column is 6 , 1 and 2,  then (6 +1 +2) = 9 ≠ 108 .]

7 0
3 years ago
Help I'm giving all my points which is 29 points please I swear if you put a bit link I'm reporting you and I hope you go to hel
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Answer:

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What are the solutions of 3(x – 4)(2x - 3) = 0? Check all that apply.
dangina [55]

Answer:

The solution to the equation is:

x=4,\:x=\frac{3}{2}

Step-by-step explanation:

Given the equation

3\left(x-4\right)\left(2x-3\right)=0

Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

x-4=0\quad \mathrm{or}\quad \:2x-3=0

now solving

x - 4 = 0

adding 4 to both sides

x - 4 + 4 = 0 + 4

simplifying

x = 4

and also solving

2x - 3 = 0

adding 3 to both sides

2x - 3 + 3 = 0 + 3

simplifying

2x = 3

divide both sides by 2

\frac{2x}{2}=\frac{3}{2}

simplifying

x=\frac{3}{2}

Therefore, the solution to the equation is:

x=4,\:x=\frac{3}{2}

4 0
2 years ago
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