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2 years ago

What is the gradient of a line perpendicular to a line with a gradient of 5

Mathematics

1 answer:

ZanzabumX [31]2 years ago

3 0

Answer:

-1/5

Step-by-step explanation:

When a line is perpendicular to another line, it's gradient will be a reciprocal.

To calculate the reciprocal of a number you have to flip the fraction the other way around.

So, in the case our current gradient is 5/1 (5/1 is the same as just 5) and we need to flip in over to get 1/5, which is our new gradient.

The final step is to make the number negative because the line is going down. This gives us the final answer of -1/5.

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Absorption rates into the body are important considerations when manufacturing a generic version of a brand-name drug. A pharmac

Darya [45]

Answer:

Correct option: (D).

Step-by-step explanation:

A null hypothesis is a hypothesis of no difference. It is symbolized by H₀.

A Type I error is the probability of rejection of the null hypothesis of a test when indeed the the null hypothesis is true.

The type I error is also known as the significance level of the test.

It is symbolized by P (type I error) = α.

In this case the researcher wants to determine whether the absorption rate into the body of a new generic drug (G) is the same as its brand-name counterpart (B) or not.

The hypothesis for this test can be defined as:

H₀: The absorption rate into the body of a new generic drug and its brand-name counterpart is same.

Hₐ: The absorption rate into the body of a new generic drug and its brand-name counterpart is not same.

The type I error will be committed when the null hypothesis is rejected when in fact it is true.

That is, a type I error will be made when the the results conclude that the absorption rate into the body for both the drugs is not same, when in fact the absorption rate is same for both.

Thus, the correct option is (D).

6 0

2 years ago

Explain why molecules do not have electric charges

Tomtit [17]

Because, the total number of electrons is equal to the number of protons.

6 0

3 years ago

Parallel / Perpendicular Practice

deff fn [24]

The slope and intercept form is the form of the straight line equation that includes the value of the slope of the line

Neither
║
Neither
⊥
║
Neither
Neither
Neither

Reason:

The slope and intercept form is the form y = m·x + c

Where;

m = The slope

Two equations are parallel if their slopes are equal

Two equations are perpendicular if the relationship between their slopes, m₁, and m₂ are; $m_1 = -\dfrac{1}{m_2}$

1. The given equations are in the slope and intercept form

$\ y = 3 \cdot x + 1$

The slope, m₁ = 3

$y = \dfrac{1}{3} \cdot x + 1$

The slope, m₂ = $\dfrac{1}{3}$

Therefore, the equations are neither parallel or perpendicular

Neither

2. y = 5·x - 3

10·x - 2·y = 7

The second equation can be rewritten in the slope and intercept form as follows;

$y = 5 \cdot x -\dfrac{7}{2}$

Therefore, the two equations are parallel

3. The given equations are;

-2·x - 4·y = -8

-2·x + 4·y = -8

The given equations in slope and intercept form are;

$y = 2 -\dfrac{1}{2} \cdot x$

Slope, m₁ = $-\dfrac{1}{2}$

$y = \dfrac{1}{2} \cdot x - 2$

Slope, m₂ = $\dfrac{1}{2}$

The slopes

Therefore, m₁ ≠ m₂

$m_1 \neq -\dfrac{1}{m_2}$

The lines are Neither parallel nor perpendicular

Neither

4. The given equations are;

2·y - x = 2

$y = \dfrac{1}{2} \cdot x +1$

m₁ = $\dfrac{1}{2}$

y = -2·x + 4

m₂ = -2

Therefore;

$m_1 \neq -\dfrac{1}{m_2}$

Therefore, the lines are perpendicular

5. The given equations are;

4·y = 3·x + 12

-3·x + 4·y = 2

Which gives;

First equation, $y = \dfrac{3}{4} \cdot x + 3$

Second equation, $y = \dfrac{3}{4} \cdot x + \dfrac{1}{2}$

Therefore, m₁ = m₂, the lines are parallel

6. The given equations are;

8·x - 4·y = 16

Which gives; y = 2·x - 4

5·y - 10 = 3, therefore, y = $\dfrac{13}{5}$

Therefore, the two equations are neither parallel nor perpendicular

Neither

7. The equations are;

2·x + 6·y = -3

Which gives $y = -\dfrac{1}{3} \cdot x - \dfrac{1}{2}$

12·y = 4·x + 20

Which gives

$y = \dfrac{1}{3} \cdot x + \dfrac{5}{3}$

m₁ ≠ m₂

$m_1 \neq -\dfrac{1}{m_2}$

Neither

8. 2·x - 5·y = -3

Which gives; $y = \dfrac{2}{5} \cdot x +\dfrac{3}{5}$

5·x + 27 = 6

$x = -\dfrac{21}{5}$

Therefore, the slopes are not equal, or perpendicular, the correct option is Neither

Learn more here:

brainly.com/question/16732089

6 0

3 years ago

There are 7 days in 1 week. How many days are there in 4 weeks?

otez555 [7]

Answer:

28 days

Step-by-step explanation:

You multiply 7 by 4 for find the number of days in 4 weeks, since 1 week is 7 days: 7 × 4 = 28.

Hope this helps!

8 0

2 years ago

Read 2 more answers

Which factors of -12 add to -1?

beks73 [17]

Answer:

-4 and 3

Step-by-step explanation:

4 0

2 years ago