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natta225 [31]
3 years ago
10

Alberto uses the steps below to solve the equation One-half x minus 3 equals 7. Step 1: One-half x minus 3 plus 3 equals 7 plus

3 Step 2: One-half x plus 0 equals 10 Step 3: One-half x equals 0 Step 4: 2 (one-half) x equals 2 (10) Step 5: 1 x equals 20 Step 6: x equals 20 Which justifies Step 6 of his work?
Mathematics
1 answer:
natka813 [3]3 years ago
7 0

Answer:

Identity property of multiplication

Step-by-step explanation:

From step 5:

1x = 20

Here, to solve for x so that the variable x stands alone, Alberto uses the identity property of multiplication, which justifies what he has in step 6.

Step 6:

x = 20

According to the identity property of multiplication, any value you multiply by 1 gives you that same value.

Therefore, 1x = 1 × x = x.

The variable x multiplied by 1 will give you x.

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Find two consecutive even integers such that the square of the first decreased by 11 equals 5 times the second.
Dima020 [189]
It is 45 and 67 I remember this from boating school 5 times a second in 11
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3 years ago
Find a in the figure below and place the value in the empty box
AleksAgata [21]

Answer:

a = 12m

Step-by-step explanation:

In order to solve this problem we will need to know the Pythagoras theorem that states that in a right angled triangle the square of the hypotenuse (the side opposite to the right angel) is equal to  the sum of the squares of the other two sides. This theorem can be written as an equation....

c^{2} = a^{2}  + b^{2}

Now we can see that we can easily find the missing value by using this theorem. We just have to substitute the values. And we get the following

c^{2} = a^{2} + b^{2}

a^{2} = c^{2} - b^{2}

a^{2} = 15^{2} - 9^{2}

a^{2} = 225 - 81

a^{2} = 144

a = \sqrt{144}

a = 12

7 0
3 years ago
Calculate the standard score of the given X value, X=28.3, where μ=26.3 and σ=28.1 and indicate on the curve where z will be loc
zmey [24]

Answer:

Standard score z=0.07

Step-by-step explanation:

The z-score, or standard score, represents an equivalent value for X but in the standard normal distribution, where μ=0 and σ=1.

For X=28.3 in a normal distribution with μ=26.3 and σ=28.1, the standard score can be calculated as:

z=\dfrac{X-\mu}{\sigma}=\dfrac{28.3-26.3}{28.1}=\dfrac{2}{28.1}=0.07

This value is 0.07 standard deviations right to the mean.

In the picture attached, we have located the z-score.        

5 0
3 years ago
Solve using the Quadratic Formula.<br><br> 3x2 + 2x + 1 = 0
Crazy boy [7]

Answer:

Hi! The correct answer is x= -7/2

Step-by-step explanation:

Solve the rational equation by combining expressions and isolating the variable x.

8 0
3 years ago
Please help me:
Tasya [4]

Answer:

6 units

Step-by-step explanation:

This coordinate is a three dimensional coordinate, which involves positive and negative x,y, and z axis.

The y axis is from left to right, i.e from negative to positive.

So 6 unit left is = -6 but it explains moving left .

Thank you

3 0
3 years ago
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