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kow [346]
2 years ago
14

Find the slope of a line parallel to a line containing points (3,-5) and(1,7)

Mathematics
1 answer:
schepotkina [342]2 years ago
7 0

Answer:

Required slope = - 6

Step-by-step explanation:

Parallel lines have same slope.

(x₁ , y₁) = (3 , -5)      &  (x₂ , y₂) = (1, 7)

Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

        = \frac{7 - [-5]}{1-3}\\\\=\frac{7+5}{1-3}\\\\=\frac{12}{-2}\\\\= -6

Slope of the a line parallel to a line  = -6

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What is the distance between the points (5.-18) and (8,
romanna [79]

Answer:

\sqrt{10}

Step-by-step explanation:

The horizontal distance from points (5,-18) and (8,-17) is 3 because it is 3 units from 5 to 8.  The vertical distance is 1 since it is one unit from -18 to -17.  Now we can use the equation a^{2}+b^{2}=c^{2} where a=3 and b=1 and c is the distance that you are looking for:

a^{2} +b^{2} =c^{2}\\3^{2} +1^{2} =c^{2}\\9+1=c^{2}\\10=c^{2}\\\sqrt{10}=c

8 0
2 years ago
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12 is 1 more than ---- and 1 less than ----
Anna35 [415]
12 is 1 more than 11
12 is one less than 13
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7 0
3 years ago
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Find the function value. tan495°
inysia [295]

Answer: -1

Step-by-step explanation:

You want to find an angle that is coterminal to 495. So, subtract 360 degrees until youre in the range of 0-360. I got 495 - 360 = 135°

Tangent is equal to \frac{sin(theta)}{cos(theta)}, we already solved theta which was 135°

This next part is hard to explain to someone who doesnt know their trig circle, idk if you do. The angle 135 is apart of the pi/4 gang. So we know this is going to be some variant of √2/2. Sine of quadrant 1 and 2 is gonna be positive:

sin135=\frac{\sqrt{2} }{2}

Now lets do cosine of 135°, which again is apart of the pi/4 gang because its divisible by 45°. Its in quadrant 2 so the cosine will be negative.

cos135=-\frac{\sqrt{2} }{2}

The final step is to divide them. They are both fractions so you should multiply by the reciprocal.

\frac{\sqrt{2} }{2} *-\frac{2}{\sqrt{2} } =-\frac{2\sqrt{2} }{2\sqrt{2} } =-1

7 0
3 years ago
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Please help! I’ll mark brainliest
Usimov [2.4K]

Answer: 19 ≥ 3z + 1 ≥ - 5

8 0
2 years ago
A simple random sample of 36 men from a normally distributed population results in a standard deviation of 10.1 beats per minute
Katyanochek1 [597]

Answer:

Step-by-step explanation:

Given that:

sample size n = 36

standard deviation = 10.1

level of significance ∝ = 0.10

The null hypothesis and the alternative hypothesis can be computed as follows:

H_0 : \sigma = 10

H_1 : \sigma \neq 10

The test statistics can be computed as follows:

X^2 = \dfrac{(n -1)s^2 }{\sigma ^2}

X^2 = \dfrac{(36 -1)10.1^2 }{10^2}

X^2 = \dfrac{(35)102.01 }{100}

X^2 = \dfrac{3570.35 }{100}

X^2 =35.704

degree of freedom = n - 1 = 36 - 1 = 35

Since this test is two tailed .

The P -value can be determined by using the EXCEL FUNCTION ( = 2 × CHIDIST(35.7035, 35)

P - value = 2 × 0.435163515

P - value = 0.8703      ( to four decimal places)

Decision Rule : To reject the null hypothesis if  P - value is less than the 0.10

Conclusion: We fail to reject null hypothesis ( accept null hypothesis) since p-value is greater than 0.10 and we conclude that there is sufficient claim that the normal range of pulse rates of adults given as 60 to 100 beats per minute resulted to a standard deviation of 10 beats per minute.

3 0
3 years ago
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