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Iteru [2.4K]
4 years ago
11

What is the slope between (-4,4) and (-6,6)

Mathematics
1 answer:
nalin [4]4 years ago
5 0

\textsf{Let's calculate the slope of the line passing thought the points (-4, 4) and (-6, 6) } \\ \textsf{using the following formula: }\mathsf{m = \frac{\Delta y}{\Delta x}} \textsf{ where m is the slope of the line.}\textsf{So:}

\mathsf{m = \dfrac{\Delta y}{\Delta x} = \dfrac{4 - 6}{-4 - (-6)} = \dfrac{-2}{2} = -1}

\textsf{Hence the slope is -1.}

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What is sin A=0.3784 rounded to the nearest whole degree
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Answer:

∠A = 22°

Step-by-step explanation:

Given:

\sin (A)=0.3784

We take inverse of sine to find angle A.

So, \angle A=sin^{-1}(0.3784)=22.23°

22.23° rounded to nearest whole degree is 22°.

∴ \angle A=22°.

6 0
3 years ago
4+7(n-6)=-3<br> I forgot the process to answer
ad-work [718]

Answer:

n=5

Step-by-step explanation:

4 + 7n - 42 = -3

          +42    +42

4 + 7n         = 39

-4                   -4

     7n         = 35

    ÷7             ÷7

       n         = 5

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3 years ago
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I need help with these two angle questions!<br> !
Gnesinka [82]

Answer:

Q7) Obtuse

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Step-by-step explanation:

3 0
4 years ago
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A researcher compares the effectiveness of two different instructional methods for teaching physiology. A sample of 178 students
xxTIMURxx [149]

Answer:

critical value = 1.645

The 90% confidence interval = ( -22.62, -17.58)

Step-by-step explanation:

Given that:

the sample  size n_1 = 178

the sample size n_2 = 226

the sample mean \overline x_1 = 54.4

the sample mean \overline x_2 = 74.5

population standard deviation \sigma_1 = 18.58

population standard deviation \sigma_2 = 9.52

level of significance ∝ = 1 - 0.90 = 0.10

The critical value for Z_{\alpha/2} = Z _{0.10/2} = Z_{0.005} is 1.645

For the construction of our confidence interval, we use 90% since that is used to find the critical value.

∴

The margin of error = Z \times\sqrt{\dfrac{\sigma_1^2}{n_1} + \dfrac{\sigma_2^2}{n_2}}

1.645 \times\sqrt{\dfrac{18.58^2}{178} + \dfrac{9.52^2}{226}}

1.645 \times\sqrt{\dfrac{345.2164}{178} + \dfrac{90.6304}{226}}

1.645 \times\sqrt{2.34042}

\simeq 2.52

The lower limit = ( \overline x_1 - \overline x_2) - (M.O.E)

= ( 54.4-74.5) - (2.52)

= -20.1 - 2.52

= -22.62

The upper limit = ( \overline x_1 - \overline x_2) + (M.O.E)

= ( 54.4-74.5) + (2.52)

= -20.1 + 2.52

= -17.58

The 90% confidence interval = ( -22.62, -17.58)

6 0
3 years ago
Sum of 15, - 2 and 7 is​
ioda

Answer:

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Step-by-step explanation:

Solution: 15/2 = 7.5

7/2 = 3.5

The smaller number = 7.5-3.5 or 4, and the larger number is 7.5+3.5 or 11. Answer.

4 0
3 years ago
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