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mrs_skeptik [129]
3 years ago
12

What is a slope of a line passing through the points (5.3) and(7,-2)

Mathematics
2 answers:
nataly862011 [7]3 years ago
8 0

Answer:

The answer is

-  \frac{5}{2}  \\

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

m =  \frac{ y_2 - y _ 1}{x_ 2 - x_ 1}  \\

From the question the points are

(5.3) and(7,-2)

The slope

m =  \frac{ - 2 - 3}{7 - 5}  =  \frac{ - 5}{2}  =  -  \frac{5}{2}  \\

We have the final answer as

-  \frac{5}{2}  \\

Hope this helps you

Ierofanga [76]3 years ago
6 0

Answer:

-2.5

Step-by-step explanation:

Slope (m) =  

ΔY

ΔX

=  

-5

2

= -2.5

θ =  

arctan( ΔY ) + 360°

ΔX

= 291.80140948635°

ΔX = 7 – 5 = 2

ΔY = -2 – 3 = -5

Distance (d) = √ΔX2 + ΔY2 = √29 = 5.3851648071345

Equation of the line:

y = -2.5x + 15.5

or

y =  

- 5 x

2

+  31

2

When x=0, y = 15.5

When y=0, x = 6.2

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What is the equivalent ratio to 7:10
sergiy2304 [10]

Answer:

14/20

Step-by-step explanation:

6 0
3 years ago
The thickness of eight pads designed for use in aircraft engine mounts are measured. The results, in mm, are 41.8, 40.9, 42.1, 4
nika2105 [10]

Answer:

We accept H₀ we don´t have enough evidence to support that the mean thickness is greater than 41 mm

Step-by-step explanation:

Sample Information:

Results:

41.8

40.9

42.1

41.2

40.5

41.1

42.6

40.6

From the table we get:

sample mean :  x  =  41.35

sample standard deviation    s = 0.698

Hypothesis Test:

Null Hypothesis                    H₀                x = 41

Alternative Hypothesis        Hₐ                x > 41

The test is a one-tail test

If significance level is  0.01 and n = 8  we need to use t-student distribution

From t-table  α = 0.01  and degree of freedom  df = n - 1  df = 8 - 1

df = 7    t(c) = 2.998

To calculate t(s)  =  (  x  -  41 ) / s/√n

t(s)  =  (  41.35  -  41 ) / 0.698/√8

t(s)  = 0.35 * 2.83/ 0.698

t(s) = 1.419

Comparing   t(s)  and t(c)

t(s) < t(c)

t(s) is in the acceptance region we accept H₀

7 0
3 years ago
The sum of two numbers is 70 and their difference is 30. Find the two numbers
ikadub [295]

Answer:

Our two numbers are 50 and 20

Step-by-step explanation:

Sum means add together

Difference means subtract each other

x + y = 70

x - y = 30

subtract from each other

2x = 100

divide both sides by 2

x = 50

our first number is 50

50 + y = 70

subtract both sides by 50

y = 20

Our two numbers are 50 and 20

8 0
2 years ago
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Ulleksa [173]
B I think but i could be totally wrong
3 0
2 years ago
What is the value of X?
Pavel [41]

Step-by-step explanation:

x = 2 \times 52.5 \degree \\ x = 105 \degree

4 0
2 years ago
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