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rewona [7]
3 years ago
10

Select the assumption necessary to start an indirect proof of the statement. If 3a+7 < 28, then a<7.

Mathematics
1 answer:
pashok25 [27]3 years ago
7 0
When applying indirect proofs, we assume the negation of the conclusion is true, and show that this assumption would lead to nonsense, or contradiction.

In our case we assume a is not smaller than 7, that is we assume a≥7.

a≥7 then, multiplying both sides by 3:
3a≥21, then, adding both sides 7:

3a+7≥28,

which is a contradiction because 3a+7 is smaller than 28.

So our assumption is wrong, which means the opposite of it is correct.


Answer: assume a≥7
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Can anybody help me pleasee I don't understandd
o-na [289]
Hello there.

6(8 - 2y) = 4y

To solve for this, we need to apply the Distributive Property to the left side of the equation. This property allows us to multiply the number outside of the parenthesis by all numbers inside of the parenthesis.

6(8 - 2y)
6(8) + 6(-2y)
48 - 12y

Now, let’s take a look at our equation.

-12y + 48 = 4y

To make things more simple, we’ll add 12y to both sides of the equation. This will cancel out -12y on the left side of the equation and will turn 4y on the right side of the equation into 16y.

Our new equation is:

16y = 48

Now all we need to do is divide both sides by 16 to solve for y.

16y / 16 = y
48 / 16 = 3

Our final answer and solution is:

Y = 3

I hope this helps!
4 0
3 years ago
What is the solution for the equation?<br> 443?<br> 9. -<br> 10<br> 9. "
saw5 [17]

<h2>Answer: </h2>

The coordinates of the point that makes the division in the given ratio is (0,3)

Step-by-step explanation:

Here, we want to find the point on the line segment that divides the line segment in the ratio 1:2

We simply use the internal division formula

That would be;

(x,y) = (nx1 + mx2)/(m + n) , (ny1 + my2)/(m + n)

m = 1 and n = 2

(x1,y1) = (4,9)

(x2,y2) = (-8,-9)

Substituting these values into the formula, we have;

2(4) + 1(-8)/(1 + 2) , 2(9) + 1(-9)/(2 + 1)

= (8-8)/3 , (18-9)/3

= (0,3)

6 0
3 years ago
What are 9 decimals that round to 4.56 ?
zalisa [80]
4.561, 4.562, 4.563, 4.564, 4.560
8 0
3 years ago
Ok these are the last ones
Marysya12 [62]

Answer:

133 is the answer! hoep it helps you out

5 0
2 years ago
Find the determinant of the matrix.
Jobisdone [24]

Answer:

-276

Step-by-step explanation:

We'll use the method of cofactors.  Use the coefficient +6 for

9   2

8   10

This gives you one third of the solution:  6 {(9)·(10) - (8)(2) },  or 444.

Next, use the coefficient 9, taking care to change the sign to -9  as follows:

     9   1

-9 |           |     =   -9(90 - 8) = -9(82) = -738  

      8  10

Finally with +2 as y our coefficient, evaluate the cofactor

9  1

9  2

ending up with  

+2(18-9) = +2(9) = 18

Finally add these three results together:

+444 - 738 + 18  =  -276

This, the determinant, D, is -276 (the fourth answer choice)

5 0
3 years ago
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