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LUCKY_DIMON [66]
3 years ago
6

Find the distance between the points (–9, 0) and (2, 5). Find the distance between the points (–9, 0) and (2, 5).

Mathematics
1 answer:
Katyanochek1 [597]3 years ago
6 0

Answer:

   sqrt( 146)

Step-by-step explanation:

To find the distance, we use the following formula

d = sqrt( ( x2-x1) ^2 + ( y2-y1) ^2)

    sqrt( ( -9-2) ^2 + ( 0-5) ^2)

  sqrt( ( -11) ^2 + ( -5) ^2)

   sqrt( 121+25)

   sqrt( 146)

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LenaWriter [7]

Answer:

947.74

Step-by-step explanation:

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3 years ago
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A revenue department is under orders to reduce the time small business owners spend filling out pension form ABC-5500. Previousl
Goshia [24]

Considering the situation described, we have that:

  • The appropriate null hypotheses is H_0: \mu = 5.2.
  • The appropriate alternative hypotheses is H_1: \mu < 5.2.

<h3>What are the hypotheses tested?</h3>

At the null hypotheses, it is tested if the mean has not been reduced, that is, it still is of 5.2 hours, hence:

H_0: \mu = 5.2.

At the alternative hypothesis, it is tested if the mean has been reduced, that is, it is now of less than 5.2 hours, hence:

H_1: \mu < 5.2

More can be learned about hypotheses tests at brainly.com/question/26454209

4 0
2 years ago
A rectangle has perimeter 28cm. Its area is 42sq.cm. Determine the dimensions of the rectangle. Include a diagram in your soluti
yawa3891 [41]

The dimensions of the rectangle are: b=9.65 cm and h=4.35 cm or b=4.35 cm and h= 9.65 cm.

<h3>Quadrilaterals</h3>

There are different types of quadrilaterals, for example, square, rectangle, rhombus, trapezoid, and parallelogram.  Each type is defined accordingly to its length of sides and angles. For example, in a rectangle,  the opposite sides are equal and parallel and their interior angles are equal to 90°.

The area of a rectangle is equal to base x height (A=bh). The perimeter of a geometric figure is the sum of its sides. Thus, for a rectangle, the perimeter is 2b+2h.

<h3>System of Linear Equations</h3>

System of linear equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point at which the lines intersect.

The question gives:

Perimeter=28cm

Area= 42 cm²

If the perimeter is the sum of all sides of the rectangle, you have:

Perimeter= 2b+2h=28

If the area of the rectangle is 42cm², you have:

Area=bh=42 cm²

You can write a system of linear equations.

2b+2h=28 (1)

bh=42 (2)

From equation 2, you have  b=\frac{42}{h}. Then, you can replace it in equation 1.

2*\frac{42}{h}+2h=28 \\ \\ 84+2h^2=28h\\ \\ 2h^2-28h+84=0 \; dividing\; by\; 2\\ \\ h^2-14h+42=0

Now, you should solve the quadratic equation.

h_{1,\:2}=\frac{-\left(-14\right)\pm \sqrt{\left(-14\right)^2-4\cdot \:1\cdot \:42}}{2\cdot \:1}

h_{1,\:2}=\frac{-\left(-14\right)\pm \:2\sqrt{7}}{2\cdot \:1}

h_1=\frac{-\left(-14\right)+2\sqrt{7}}{2\cdot \:1}=7+\sqrt{7}=9.65 cm

h_2=\frac{-\left(-14\right)-2\sqrt{7}}{2\cdot \:1}=7-\sqrt{7}=4.35cm

If h1=9.65 cm, then b_1=\frac{42}{9.65} =4.35 cm, and if  h2=4.35 cm, then b_1=\frac{42}{4.35} =9.65 cm.

Read more about the quadratic function here:

brainly.com/question/1497716

#SPJ1

8 0
2 years ago
What is 1/2 times 6?
son4ous [18]
1/2 times 6 = 1/2 * 6
so in order to make this multiplication you have to turn 6 to a fraction, 6 is equal to 6/1
so , the way to multiply them is multiply the top with the top and it will be the top in the answer and the exact same with the bottoms

6*1= 6
2*1=2 

so the fraction is 6/2, since a fraction is basicly a division

6/2 = 3

so the answer to your question is 3

i hope i helped you
6 0
3 years ago
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What is the corollary to the triangle sum theorem?
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In the triangle sum theorem, the corollary is that the triangle <span>can include only one 90 degree angle or one obtuse angle.</span>
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