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Umnica [9.8K]
3 years ago
7

What is the distance between the points (21,-30) and (3,8)

Mathematics
1 answer:
Scilla [17]3 years ago
5 0

Answer:

approximately 42.05

Step-by-step explanation:

We know that the distance formula is \sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1})^{2} }, so if we use (3,8) as point 2 and (21, -30) as point 1 (note that these are interchangeable), we know that

x₂=3

y₂=8

x₁=21

y₁=-30

Then, we can plug it into the formula to get \sqrt{(3-21)^{2} +(8-(-30))^{2 }} = \sqrt{18^{2}+38^{2}}=sqrt{1769}= 42.05 (approximately)

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On a coordinate plane, a piecewise function has 3 lines. The first line has an open circle at (negative 9, negative 2), continue
Arte-miy333 [17]

Answer:  D: x = (-9, 0) U (0, 4) U (4, 8)

<u>Step-by-step explanation:</u>

Line 1:      y = -2               where      -9 < x < 0

Line 2:     y = 2)x + 1        where       0 < x < 4

Line 3:    y = -(1/2)x + 6    where       4 < x < 8

Domain represents the x-values.  Since all of them are open dots, the intervals are strictly less than (<).

-9 < x < 0   and   0 < x < 4   and   4 < x < 8 is the union of these intervals

-9 < x < 0   U   0 < x < 4   U   4 < x < 8

Interval Notation: D: x = (-9, 0) U (0, 4) U (4, 8)

6 0
3 years ago
Please help! Will give Brainliest!<br><br> -1/32<br><br> 16<br><br> –4<br><br> –16
aniked [119]

Answer:

-1/32

Step-by-step explanation:

To evaluate the expression, substitute x = 2 and y = -4. Then use exponent rules to simplify. Review the rules here:

To evaluate or simplify expressions with exponents, we use exponent rules.  

1. An exponent is only a short cut for multiplication. It simplifies how we write the expression.

2. When we multiply terms with the same bases, we add exponents.

3. When we divide terms with the same bases, we subtract exponents.

4. When we have a base to the exponent of 0, it is 1.

5. A negative exponent creates a fraction.

6. When we raise an exponent to an exponent, we multiply exponents.

7. When we have exponents with parenthesis, we apply it to everything in the parenthesis.

We will use these rules to simplify.

\frac{1}{2^{-2}x^{-3}y^5} = \frac{1}{2^{-2}2^{-3}(-4)^5} =\frac{2^22^3}{(-4)^5} = \frac{2^5}{(-4)^5}\\\\ =\frac{2*2*2*2*2}{-4*-4*-4*-4*-4} = -\frac{2}{64}=-\frac{1}{32}

4 0
4 years ago
Find the are of the parallelogram 3 ft 7 ft
UkoKoshka [18]

Answer:

If you mean the area then 21ft

Step-by-step explanation:

3ft times 7ft= 21ft

Formula for area of parallelogram

A=BH

or

A=B times H

B is base and H is height

Hopefully that helps:)

4 0
3 years ago
Y = x + 5<br> y = -2x - 4<br>what are the y and x values please ​
Maksim231197 [3]

Answer:

x=-3, and y=2

Step-by-step explanation:

Since both equations are equal to y, set them equal to each other and solve for x, that way you can solve for y:

x+5=-2x-4

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3x=-9

x=-3

Plugging in x=-3 into one of the original equations:

y = x + 5

y = -3 + 5

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Therefore, x=-3 and y=2. You can also write as the ordered pair (-3,2) since that's where the two equations would intercept on a graph.

3 0
3 years ago
What is the sum of the first 39 positive odd numbers?
liq [111]
1-39 ODD:
1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,31,33,35,37,39
Now you'd add them all up.
1+3+5+7+9 = 25
11+13+15+17+19 = 75
21+23+25+27+29 = 125
31+33+35+37+39 = 175
Add the totals:
25+75+125+175
The answer would be 400.
7 0
4 years ago
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