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stira [4]
3 years ago
10

Solve the system x+y=0 −2x−y=8 *Answer should be in ( x , y ) form, will give 40 points *

Mathematics
2 answers:
Sedbober [7]3 years ago
8 0

Answer:

(2,4) (-4,16)

Step-by-step explanation:

Subtract  2 x  from both sides of the equation.

y = 8 − 2 x

Substitute  8 − 2 x  for  y  into  x ^2 − y = 0  then solve for  x .

x = 2 , − 4

Substitute  2  for  x  into  x 2 − y = 0  then solve for  y .

y=4

Substitute  − 4  for  x  into  x 2 − y = 0  then solve for  y .

y=16

Equation form

x = 2 , y = 4

x = − 4 ,  y = 16

vladimir1956 [14]3 years ago
6 0

Answer:

x = -8 and y= 8

(-8,8) is the answer

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Nichol walks at a constant pace of 1.2 m/s and takes 15 minutes to get to school.
liraira [26]

Answer:

The difference between the distances they walked is 600 meters.

Step-by-step explanation:

Let's calculate the distance traveled by Nichol and Sakura with the following equation:

d = v*t

Where:

v: is the speed

t: is the time

The distance traveled by Nichol is:

d_{n} = 1.2 m/s*15min*\frac{60 s}{1 min} = 1080 m

And the distance traveled by Sakura is:

d_{s} = 1.4 m/s*20 min*\frac{60 s}{1 min} = 1680 m

Hence, the difference between the distances they walked is:

d_{t} = d_{s} - d_{n} = 1680 m - 1080 m = 600 m

Sakura traveled 600 meters more than Nichol.

Therefore, the difference between the distances they walked is 600 meters.

               

I hope it helps you!                    

4 0
3 years ago
Trapezoid A B C D is shifted down and to the left to form trapezoid A prime B prime C prime D prime. Trapezoid A prime B prime C
iVinArrow [24]

Answer:

d

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
To meke a batch of sugar cookies , you need 0.75 cup of sugar and 1/3 cup of butter , among other ingredients. How much more sug
Leokris [45]
A) 5/12 cup more

you have to convert the fractions so they have the same denominator. 0.75 is 9/12 and 1/3 is 4/12. Subtract and you get 5/12
5 0
3 years ago
10. There are nine golf balls numbered from 1 to 9 in a bag. Three balls are randomly selected without replacement to form a 3-d
lbvjy [14]

Answer:

a) 504

b) 56

c) 0.111

Step-by-step explanation:

Data provided in the question:

There are nine golf balls numbered from 1 to 9 in a bag

Three balls are randomly selected without replacement

a) 3-digit numbers that can be formed

= ^nP_r

n = 9

r = 3

= ⁹P₃

= \frac{9!}{9!-3!}

= 9 × 8 × 7

= 504

b)  3-digit numbers start with the digit 1

=  _ _ _

in the above 3 blanks first digit is fixed i.e 1

we and we have 8 choices left for the last 2 digits

Thus,

n = 8

r = 2

Therefore,

= 1 × ⁸P₂

= 1 × \frac{8!}{8!-2!}

= 1 × 8 × 7

= 56

c) Probability that the 3-digit number formed is less than 200

Now,

The number of 3-digit number formed is less than 200 will be the 3-digit numbers start with the digit 1 i.e part b)

and total 3-digit numbers that can be formed is part a)

therefore,

Probability that the 3-digit number formed is less than 200

= 56 ÷ 504

= 0.111

5 0
4 years ago
Sam started a dog-walking business. He charges $5 for each dog for a thirty-minute walk. How much dor
solong [7]

Answer: \$10,\ \$5

Step-by-step explanation:

(a) Given

Sam charge $5 for each dog for a thirty minute walk

For an hour which is double the thirty minutes, it must be double of the same charge.

\Rightarrow 2\times 5=\$10

(b)Given

With $20, Christie sells 100 cups of lemonade with a quarter per cup charge

For 100 cup, she generate a revenue of

\Rightarrow \dfrac{1}{4}\times 100\\\\\Rightarrow \$25

So, she earns 25-20=\$5 that is , her profit is \$5

7 0
3 years ago
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