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Masteriza [31]
3 years ago
9

Select the correct answer from each drop-down menu.

Mathematics
1 answer:
storchak [24]3 years ago
3 0

Answer:

Step

Statement

1

2

3x + 7 = 15

x + 7 - 7 = 15

ža

3

= 15

4.

3

= 3.15

5

r = 45

Which statement is true?

A. Jake made a mistake in step 2.

B.

Jake made a mistake in step 4.

C.

Jake made a mistake in step 5.

OD Jake solved the equation correctly.

Answer:

If the air trolley ended at 60 km and it traveled 20 km- what was its starting position?

 

Step-by-step explanation:

 

Step-by-step explanation:

Step

Statement

1

2

3x + 7 = 15

x + 7 - 7 = 15

ža

3

= 15

4.

3

= 3.15

5

r = 45

Which statement is true?

A. Jake made a mistake in step 2.

B.

Jake made a mistake in step 4.

C.

Jake made a mistake in step 5.

OD Jake solved the equation correctly.

Answer:

If the air trolley ended at 60 km and it traveled 20 km- what was its starting position?

 

Step-by-step explanation:

 

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The appropriate SI unit for measuring the height of a person is meters.
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weeeeeb [17]

I suppose you just have to simplify this expression.

(2ˣ⁺² - 2ˣ⁺³) / (2ˣ⁺¹ - 2ˣ⁺²)

Divide through every term by the lowest power of 2, which would be <em>x</em> + 1 :

… = (2ˣ⁺²/2ˣ⁺¹ - 2ˣ⁺³/2ˣ⁺¹) / (2ˣ⁺¹/2ˣ⁺¹ - 2ˣ⁺²/2ˣ⁺¹)

Recall that <em>n</em>ª / <em>n</em>ᵇ = <em>n</em>ª⁻ᵇ, so that we have

… = (2⁽ˣ⁺²⁾ ⁻ ⁽ˣ⁺¹⁾ - 2⁽ˣ⁺³⁾ ⁻ ⁽ˣ⁺¹⁾) / (2⁽ˣ⁺¹⁾ ⁻ ⁽ˣ⁺¹⁾ - 2⁽ˣ⁺²⁾ ⁻ ⁽ˣ⁺¹⁾)

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… = (2 - 4) / (1 - 2)

… = (-2) / (-1)

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Another way to get the same result: rewrite every term as a multiple of <em>y</em> = 2ˣ :

… = (2²×2ˣ - 2³×2ˣ) / (2×2ˣ - 2²×2ˣ)

… = (4×2ˣ - 8×2ˣ) / (2×2ˣ - 4×2ˣ)

… = (4<em>y</em> - 8<em>y</em>) / (2<em>y</em> - 4<em>y</em>)

… = (-4<em>y</em>) / (-2<em>y</em>)

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8 0
3 years ago
I need the answer for this exact question
denis23 [38]

Answer:

y=\frac{7}{2}x-20

Step-by-step explanation:

Let the equation of the line be y-y_1=m(x-x_1) where, 'm' is its slope and (x_1,y_1) is a point on it.

Given:

The equation of a known line is:

y=-\frac{2}{7}x+9

A point on the unknown line is:

(x_1,y_1)=(4,-6)

Both the lines are perpendicular to each other.

Now, the slope of the known line is given by the coefficient of 'x'. Therefore, the slope of the known line is m_1=-\frac{2}{7}

When two lines are perpendicular, the product of their slopes is equal to -1.

Therefore,

m\cdot m_1=-1\\m=-\frac{1}{m_1}\\m=-\frac{1}{\frac{-2}{7} }=\frac{7}{2}

Therefore, the equation of the unknown line is determined by plugging in all the given values. This gives,

y-(-6))=\frac{7}{2}(x-4)\\y+6=\frac{7}{2}x-14\\y=\frac{7}{2}x-14-6\\\\y=\frac{7}{2}x-20

The equation of a line perpendicular to the given line and passing through (4, -6) is y=\frac{7}{2}x-20.

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