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nignag [31]
3 years ago
6

Find the distance between the points given. (-3, 2) and (9, -3)

Mathematics
1 answer:
g100num [7]3 years ago
8 0
The distance will be given by the equation;
D=\sqrt{( x_{1} - x_{2} )^{2} +( y_{1} - y_{2} )^{2}   }
D=\sqrt{ (-3-9)^{2}+( 2--3)^{2}  }
D=\sqrt{ (-12)^{2} + (5)^{2} }
D=\sqrt{169}
D=13 units
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If a car travels 172 miles in 4 hours how long will it take to travel 387 miles
Contact [7]
172/387 = 4/t

Let t = time to travel 387 miles

172t = 4(387)

172t = 1548

t = 1548/172

t = 9

Answer: 9 hours
4 0
3 years ago
Micheal was asked to give examples of the identity property of addition and the identity property of multiplication. Below are h
Alex73 [517]

Answer:

Identity property of addition 8 + 0 = 8

Identity property of multiplication 8 x 1 = 8

Step-by-step explanation:

He mixed up his properties.  8 + 1  does not equal 8.  I want to know what I can add to 8 and that I would still get 8, the answer is zero.

The identity property of multiplication is showing that any number multiplied by 1 is itself.

3 0
1 year ago
Emily spent $55 from her savings on a new dress. explain how to descibe the change Emily's savings balance in 2 different ways
Step2247 [10]
S= savings before she bought the dress   s - $55 would be her new balance after she bought the dress.

We could also talk about her savings now (after her purchase).   If we let n=now
n + $55 would be her balance before she bought the dress.
8 0
3 years ago
An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 110 engines
slava [35]

Answer:

we will fail to reject the null hypothesis and conclude that the mean pressure is not different from 4.7 psi

Step-by-step explanation:

Let's first define the hypothesis;

Null hypothesis: H0: μ = 4.7

Alternative hypothesis: Ha: μ ≠ 4.7

We have;

Sample size; n = 110

Sample mean; x¯ = 4.6

Variance: σ² = 0.64

Standard deviation; σ = √0.64 = 0.8

Formula for test statistic is;

z = (x¯ - μ)/(σ/√n)

z = (4.6 - 4.7)/(0.8/√110)

z = -0.1/0.0763

z = -1.31

From online p-value from z-score calculator attached, using; z = -1.31, two tailed hypothesis, significance value of 0.1, we have;

P-value = 0.190196

The p-value is greater than the significance value and thus we will fail to reject the null hypothesis and conclude that the mean pressure is not different from 4.7

σ μ

8 0
2 years ago
In a triangle the first angle is greater than the second angle by 18 degree and less than the third angle by 10 grade. Express a
serg [7]

Answer:

The 3 angles are 62 2/3, 44 2/.3 and 72 2/3 degrees.

Step-by-step explanation:

let x be the first angle then the  the second angle is  x - 18 and the third angle = x + 10

The 3 angles add up to 180 so:

x + x - 18 + x + 10 = 180

3x = 180 + 18 - 10 = 188

x = 188/3 = 62 2/3 degrees.

x - 18 = 44 2/3

x + 10 = 72 2/3.

8 0
3 years ago
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