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sesenic [268]
3 years ago
6

What is the distance between (10, 6) and (-2, -3)

Mathematics
1 answer:
Helga [31]3 years ago
4 0

Answer:

15 units.

Step-by-step explanation:

The distance between the points (x1, y1) and (x2, y2) is

√(x1-y1)^2 + (y1-y2)^2))

So here it is:

√(10- -2)^2 + (6- -3)^2)

= √(144+81)

=  √225

= 15.

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Marcelina uses a blend of white corn and yellow corn to make tortilla chips at her restaurant. She needs to buy 50kg of corn in
zlopas [31]

Answer:

Option D. Marcelina spends less that the intended amount of money and buy less than enough corn

Step-by-step explanation:

Let

x---->  is the amount of white corn she buys

y ---> is the amount of yellow corn she buys

we know that

She needs to buy 50 kg of corn in total

so

x+y=50 ----> equation A

She wants to spend $12 dollars total

so

0.30x+0.15y=12 ----> equation B

The solution of the system of equations is the intersection point both graphs

The solution is the point (30,20)

That means

Marcelina needs to buy 30 kg of white corn and 20 kg of yellow corn

we have the ordered pair F(15.15)

That means

15 kg of white corn and 15 kg of yellow corn

therefore

Total kg of corn bought is

15+15=30\ kg

30\ kg < 50\ kg

Total spend is

0.30(15)+0.15(15)=\$6.75

\$6.75

therefore

Marcelina spends less that the intended amount of money and buy less than enough corn

6 0
3 years ago
Read 2 more answers
Is the perimeter of a square and its side length linear or not linear?
NARA [144]
Its linear , if side is x then perimeter is 4x 
 I hope this helps, if you have any further questions don't hesitate to ask
4 0
3 years ago
What value of k makes the equation true? (5a^2 b^3)(6a^k b)=30a^6 b^4
Ratling [72]

we are given

(5a^2 b^3)(6a^k b)=30a^6 b^4

Firstly, we will simplify left side

and then we can solve for k

Left side is

(5a^2 b^3)(6a^k b)

we can arrange like terms

(5a^2 6a^k)(b^3 b)

(5\times 6 a^2a^k)(b^3 b)

(30 a^2a^k)(b^3 b^1)

now, we can use property of exponent

a^m \times a^n=a^{m+n}

(30 a^{2+k})(b^{3+1})

30a^{2+k}b^{4}

now, we can equate it with right side

and we get

30a^{2+k}b^{4}=30a^6 b^4

We can see that both sides have 30 , a and b

and they are equal

so, exponent of a must also be equal

2+k=6

now, we can solve for k

2+k-2=6-2

k=4................Answer


3 0
3 years ago
Read 2 more answers
Convert -√3-i to polar form.
Jlenok [28]

Answer:

-sqrt(3) -i = 2 cis (7pi/6)

Step-by-step explanation:

-sqrt(3) -i

We can find the radius

r = sqrt( (-sqrt(3)) ^2 + (-1) ^2)

  = sqrt( 3 + 1)

  = sqrt(4)

  = 2

theta = arctan (y/x)

          arctan (-1/-sqrt(3))

         arctan (1/sqrt(3))

theta = pi/6

But this is in the first quadrant, and we need it in the third quadrant

Add pi to move it to the third quadrant

theta = pi/6 + 6pi/6

         =7pi/6


-sqrt(3) -i = 2 cis (7pi/6)

6 0
3 years ago
Read 2 more answers
Aarva cleans 6 apartments in 2.5 hours. how long will it take him to clean 30 apartments
Anon25 [30]
6 apartments in 2.5 hours
30 apartments in ? Hours

6/2.5=30/x
6x=(30)(2.5)
x=75/6
x=12.5 hours
3 0
3 years ago
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