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3 years ago

Find x so that a is parallel to b. state the converse used

Mathematics

1 answer:

kondor19780726 [428]3 years ago

8 0

Answer:

x = 7

If a is parallel to b, then 9(7) + 11 = 74.

Step-by-step explanation:

We don't know if the lines are parallel, so we need to see what x is in 9x + 11 = 74, then substitute that value for x in the equation. If both sides are true, the two lines are parallel.

9x + 11 = 74

Step 1: Subtract 11 from both sides.

9x = 63

Step 2: Divide both sides by 9.

x = 7

To make sure, let's substitute 7 for x in the earlier equation.

9(7) + 11 = 74

Step 3: Multiply 9 by 7 to get 63.

63 + 11 = 74

Step 4: Add 11 to 63 to get 74.

74 = 74

The two sides are equal, so a and b are parallel. The definition of a converse is the reverse of a conditional statement. As a result, the converse here is "If a is parallel to b, then 9(7) + 11 = 74."

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kkurt [141]

Answer:

$(x- \frac{2}{5})^{2} = x^2 -\frac{4}{5}x + \frac{4}{25}$

Step-by-step explanation:

You have two methods to expand this binomial.

Method 1

If you have the expression:

$(x- \frac{2}{5})^{2}$

You can write the expression it in the following way:

$(x-\frac{2}{5})^{2}=(x-\frac{2}{5})(x-\frac{2}{5})$

Then, apply the distributive property:

$(x-\frac{2}{5})(x-\frac{2}{5}) = x^2 -\frac{2}{5}x -\frac{2}{5}x+ (\frac{2}{5})\frac{2}{5}$

Simplify the expression:

$(x-\frac{2}{5})^2= x^2 -\frac{4}{5}x+ (\frac{4}{25})$

---------------------------------------------------------------------------------------

Method 2

For any expression of the form:

$(a-b)^2$

Its expanded form will be:

$(a-b)^2= a^2 -2ab + b^2$

$a = x$

$b =\frac{2}{5}$

$(x- \frac{2}{5})^{2} = x^2 - 2x\frac{2}{5} + (\frac{2}{5})^2$

$(x- \frac{2}{5})^{2} = x^2 -\frac{4}{5}x + \frac{4}{25}$

3 0

3 years ago

Solve for g. −3+5+6g=11−3g

Nataly_w [17]

Answer:

g = 1

Step-by-step explanation:

-3 + 5 + 6g = 11 - 3g

2 + 6g = 11 - 3g

Add 3g to both sides.

2 + 9g = 11

Subtract 2 from both sides

9g = 9

g = 1

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3 years ago

A line has a slope of -5 and passes through the point (2, 2). What is the equation for this line?

koban [17]

To determine the equation of the line, we use the point slope form equation for this problem. It is expressed as:

y - y1 = m(x - x1)

We substitute the given values in the problem to the equation.

y - 2 = -5(x - 2)
y = -5x +10+2
y = -5x +12

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3 years ago

Help? Because my teacher doesn't want too

snow_lady [41]

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Now solve for x

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3 years ago

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dusya [7]

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3 years ago

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Find x so that a is parallel to b. state the converse used​

Find x so that a is parallel to b. state the converse used