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3 years ago

Find the distance between the pair of points. (-7,4) and (2,-5)

Mathematics

1 answer:

frez [133]3 years ago

5 0

Answer:

$length = \sqrt{ {(x _{2} - x _{1} ) {}^{2} + (y _{2} - y _{1} )}^{2} } \\ = \sqrt{ {(2 - ( - 7))}^{2} + {( - 5 - 4)}^{2} } \\ = \sqrt{ {9}^{2} + {( - 9)}^{2} } \\ = \sqrt{81 + 81} \\ \sqrt{162} \\ = 12.7 \: units$

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Qualitative research differs from quantitative research because it a. relies heavily on statistical analysis b. is conducted in

Shtirlitz [24]

Answer:

Step-by-step explanation:

Qualitative research involves mainly exploratory. It is used to gain understanding reasons,opinions and motivations.

Quantitative research is used to collect and generate numerical data used in defining and solving problems.

4 0

3 years ago

Find the measure of each internal angle of the triangle!!!!!

defon

Answer:

x=35

'x-10'=25 degrees

'x'=35 degrees

The last one is 120 degrees

Step-by-step explanation:

A straight line is 180 degrees

180-60=120

2x+110=180

2x=70

x=35

8 0

3 years ago

a cubic box has a side length of 2 feet. How many of these boxes could fit inside a larger cubic box whose base has a perimeter

kap26 [50]

So if a cubic box has a side length of 2 ft in order to find the volume we need to cube it or multiply the length times 3 times. so it would be 2x2x2=8. that is the volume of the fiest cube. in order to find the volume of the larger cube first you need to know the length of one of the sides. the base has 4 sides to it that are all equal so you divide 24 by 4 and get 6. then to find the volume you multiply 6 three times since it is also a cubic cube so it would be 6x6x6=216. now you know the volume of each cube so you divide 216 by 8 to find how many times the volume of the small cube would go into the volume of the larger cube and get 27 times.

6 0

3 years ago

PLEASE HELP FOR A BRAINLIEST!!!! Create your own example and explain how to solve Quadratic Equation using Quadratic Formula. Wh

SVETLANKA909090 [29]

Step-by-step explanation:

1. Create your own example and explain how to solve Quadratic Equation using Quadratic Formula.

The quadratic formula is used to solve quadratic equations. It is shown as $x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

A quadratic equation is generally shown in the form of $ax^{2} +bx + c = 0$

For example, if you saw the equation $7x^{2} + 3x + 20 = 0$

7 would be $a$ , 3 would be $b$ , and 20 would be $c$ .

To solve the equation above, you would fill in the quadratic formula as such, $x=\dfrac{-3\pm\sqrt{(3)^2-4(7)(20)}}{2(7)}$

Then you could solve for x.

2. What part in the Quadratic Formula is the discriminant?

The discriminant is the equation under the square root on the quadratic formula, $b^{2} - 4ac$

It is tells us whether there are two solutions, one solutions, or no solutions.

3. How do you know the number of solutions based on the value of the discriminant?

To know the number of solutions based off of the value of the discriminant, you need to plug in your values. Using the example quadratic equation, $7x^{2} + 3x + 20 = 0$

We will plug the values into the discriminant.

$3^{2} - 4(7)(20) = -551$

Now, if the discriminant is positive it has two real solutions. If the discriminant is zero the equation has no real-number solutions. And finally, if the discriminant is negative, the equation has one real solution. Because our discriminant is -551, the example equation has one real solution.

Hope this helps! (Please consider Brainliest)

8 0

3 years ago

Your firm has a contract to make staff uniforms for a fast-food retailer. The heights of the staff are normally distributed with

FromTheMoon [43]

Answer:

a) 16%

b) 2.5%

Step-by-step explanation:

The mean is 70 with standard deviation(SD) of 3 and you are asked to find out the percentage of staff that have <67(70-3 inch= mean - 1 SD) inch size, which means 1 SD below the mean (<-1 SD). Using 68-95-99.7 rule, you can know that 68% of the population is inside 1 SD range from the mean ( -1 SD to + 1 SD).

To put it on another perspective, there are 32% of the population that have < -1 SD and > +1 SD value. Assuming the distribution is symmetrical, then the value of < - 1 SD alone is 32%/2= 16%

The question asks how many populations have size >76 inches, or mean + 2 SD (70+3*2 inch).

You can also solve this using 68-95-99.7 rule, but you take 95% value as the question asking for 2 SD instead. Since 95% of population is inside 2 SD range from the mean ( -2 SD to + 2 SD), so there are 5% of population that have < -2 SD and > +2 SD value. Assuming the distribution is symmetrical, then the value of > +2 SD alone is 5%/2= 2.5%

3 0

3 years ago