Which value, when placed in the box, would result in a system of equations with infinitely many solutions?

Mathematics

2 answers:

hoa [83]3 years ago

8 0

Answer:

-10

Step-by-step explanation:

ira [324]3 years ago

7 0

For a system of equations to have infinitely many solutions, the equations have to be lineary dependent, (i.e. one of the equations is a multiple of the other equation). For the given equation to have infinitely many solutions, the second equation have to be a multiple of the first equation. The first equation can be rewritten as y - 2x = -5 The second equation is the first equation multiplied by 2, i.e. 2(y - 2x= -5) = 2y - 4x = -10 Therefore, the correct answer is -10 (option a).

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Find m, given that the three angles of a triangle are (m+18), (2m+28) and (3m+47).

alukav5142 [94]

Step-by-step explanation:

As all angles in a triangle add up to 180°

we can write:

(m+18)+(2m+28)+(3m+47) = 180

6m + 93 = 180

6m = 180 - 93

6m = 87

m = 87 / 6

m = 14.5

8 0

2 years ago

I don't get the subject of congruent triangles. How do I figure out if there's not enough information to know if it is congruent

babymother [125]

Answer:

Okay, there are many ways to find if a triangle is congruent.

Let's start with some different terminology.

For the sake of simplicity let us say that S stands for when a side is congruent for both triangles and A stands for when an angle (<) is congruent between both the triangles as well.

So, you need to memorize some rules. If you find that 2 triangles are congruent in the sense of; SSS, SAS, AAS, SAA, and ASA. One thing to remember is that Angle Side Side isn't congruent and is called Donkey Theorem. This theorem only works for right triangles.

One way to know if your triangle isn't congruent is if you can find a part of the triangle that is different.

I know that wasn't the best explanation but I hope it helped anyhow. :)

5 0

3 years ago

8. There are 10 balls in a bag numbered from 1 to 10. Three balls are selected at random without replacement.

PIT_PIT [208]

Answer:

a. 720

b. 0.3

Step-by-step explanation:

Three balls are selected at random without replacement.

First ball can be selected in 10 ways