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mina [271]
3 years ago
11

Whoever answers these 2 right gets brainliest and 25 points!

Mathematics
1 answer:
Lana71 [14]3 years ago
3 0
The first one is B and the second one is C
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Select the assumption necessary to start an indirect proof of the statement. If 3a+7 < 28, then a<7.
pashok25 [27]
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
7 0
2 years ago
Line g passes through points (5, 9) and (3, 2). Line h passes through points (9, 10) and (2, 12). Are line g and line h parallel
icang [17]

For this case we find the slopes of each of the lines:

The g line passes through the following points:

(x_ {1}, y_ {1}) :( 3,2)\\(x_ {2}, y_ {2}) :( 5,9)

So, the slope is:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {9-2} {5-3} = \frac {7} {2}

Line h passes through the following points:

(x_ {1}, y_ {1}) :( 9,10)\\(x_ {2}, y_ {2}) :( 2,12)

So, the slope is:

m = \frac {y_ {2} -y_ {1}}{x_ {2} -x_ {1}} = \frac {12-10} {2-9} = \frac {2} {- 7} = - \frac {2} {7}

By definition, if two lines are parallel then their slopes are equal. If the lines are perpendicular then the product of their slopes is -1.

It is observed that lines g and h are not parallel. We verify if they are perpendicular:

\frac {7} {2} * - \frac {2} {7} = \frac {-14} {14} = - 1

Thus, the lines are perpendicular.

Answer:

The lines are perpendicular.

8 0
2 years ago
What is the completely factored form of f(x) = 6x<br>x2 - 4x + 15?​
maria [59]

Answer:

(x+1)(2x-3)(3x-5)

Step-by-step explanation:

5 0
3 years ago
Help pleaseeeeeeeeee​
ad-work [718]

Answer:

non of these choices I guess

4 0
2 years ago
If need any help editing an essay or something you can not do on here heres my number
stellarik [79]

Answer:

on what's app ?

Step-by-step explanation:

or telegram ?

7 0
3 years ago
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