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Triss [41]
3 years ago
8

1.

Mathematics
2 answers:
belka [17]3 years ago
8 0

1. D

2. D

I don't know the answer to number 3 sorry.

Orlov [11]3 years ago
6 0

Answer with explanation:

1. x+0=x

0 is the identity element.When number is added to identity the resultant is number.

Option D : Identity

2.

3x-2=60

Adding 2 on both sides

→3x-2+2=60+2

→3x=62

Dividing by 3, on both sides

x=\frac{62}{3}

Option (B.)→ Add 2 . Divide by 3

3.

y> -2,

y=(-2, Infinity)

So, -3 is not the solution of ,y>-2.

Option A: False

4.

The equation in slope-intercept form, is, y = mx + b.

4x-2y=10

4x=2y+10

2y=4x-10

Dividing by 2, on both sides

y=2x-5

Option A:→y=2x-5

5.

The equation of line is

 y=2x-11

We have to check whether point (3,0) lies on the line or not.

LHS=y=0

RHS=2x-11

       =2 ×3-11

       =6-11

       = -5

So, point (3,0) does not lie on the line,→y=2x-11.

Option B : False

6.

Slope of line joining the points (-2,-1) and (3,4) is

 m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\m=\frac{4+1}{3-(-2)}\\\\m=\frac{5}{5}\\\\m=1

Slope=1

Option A

7.

When solving a system of equations, you are finding the

Option C: Intersection point

8.

3x + 2y = 10------(1) \\\\2x + 3y = \frac{15}{12}-----------(2)\\\\1+2\\\\5x+5y=\frac{135}{12}\\\\x+y=\frac{27}{12}-----(3)\\\\1-2\\\\x-y=\frac{105}{12}-----(4)\\\\ 3+4\\\\2x=\frac{132}{12}\\\\2x=11\\\\x=\frac{11}{2}\\\\y+\frac{11}{2}=\frac{27}{12}\\\\y=-\frac{11}{2}+\frac{27}{12}\\\\y=\frac{-39}{12}

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<h3 />

To calculate the distance the tip of the second hand of the clock travel in 45 seconds, we use the formula below.

<h3>Formula:</h3>
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<h3> Where: </h3>
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From the question,

<h3>Given:</h3>
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Substitute these values into equation 1

  • L = 0.1×2×270×3.14/360
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Hence, The distance traveled by the second hand of the clock is 0.471 m

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6x+9y=18

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So now, we are going to replace the logical connectives on the statement:

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32 different combinations  

In figure 1, added bellow, it shows the construction of truth table.

In figure 2, added bellow, it shows the development of the truth table. In the development, we don't have as a result a tautology, therefore the statement is FALSE.  

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<span class="sg-text sg-text--link sg-text--bold sg-text--link-disabled sg-text--blue-dark"> pdf </span>
<span class="sg-text sg-text--link sg-text--bold sg-text--link-disabled sg-text--blue-dark"> pdf </span>
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