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Virty [35]
3 years ago
9

WILL MARK BRIANLIEST!

Mathematics
1 answer:
gayaneshka [121]3 years ago
7 0

Answer:

(4, - 2 )

Step-by-step explanation:

Given the 2 equations

x + y = 2 → (1)

x - y = 6 → (2)

Adding the 2 equations term by term will eliminate the term in y, that is

(x + x) + (y - y) = (2 + 6)

2x = 8 ( divide both sides by 2 )

x = 4

Substitute x = 4 in either of the 2 equations and solve for y

Substituting in (1)

4 + y = 2 ( subtract 4 from both sides )

y = - 2

Solution is (4, - 2 )

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What inverse operation is used to solve the equation? x + 2 = 5
bezimeni [28]

Answer: subtraction

Step-by-step explanation:

x + 2 = 5

5 - 2 = x

x = 3

4 0
4 years ago
The data set shows the fuel efficiencies, in miles per gallon, of the vehicles featured in a car-buying guide. 26 31 40 28 19 23
Stolb23 [73]
Firstly, arrange the data.

19 23 26 28 28 30 31 35 38 40 43 46

a) 5 number summary

-min value = 19
- Q1= (26+28/2) = 27
- Q2/ Median = (30+31/2)= 30.5
- Q3= (38+40/2)= 39
- Max value- 46

b) range= max value-min value
∴46-19= 21

c)interquartile range = Q3-Q1
                                  = 39-27
                                  =12
3 0
3 years ago
Given the equation of a circle below, find the diameter of the circle. Use only the digits 0-9 to enter the diameter.
kogti [31]

Answer:

10

Step-by-step explanation:

Standard form for a circle is

(x - h)² + (y - k)² = r²

where (h, k) is the center and r is the radius

--------------------------------

x² + y² - 18x + 24y = -200

Rearrange

(x² - 18x) + (y² + 24y) = -200

Complete the square for x

(x - 9)² + (y² + 24y) = -200 + (-9)²

Complete the sqaure for y

(x - 9)² + (y + 12)² = -200 + (-9)² + 12²

(x - 9)² + (y + 12)² =  25

Now the equation is in standard form

r² = 25

r = 5

Therefor Diameter = 10

4 0
3 years ago
What are three consecutive odd integers whose product of the first and the third is for less than the square of the second
Inessa05 [86]

Answer:

in steps

Step-by-step explanation:

Are you trying to prove any 3 positive consecutive odd integers whose product of the first and the third is four less than the square of the second?

3 positive consecutive odd integers: x-2, x, x+2

(x-2) (x+2)=x² - 4 ..... correct

11, 13, 15      11 x 15 = 165 = 13² - 4

8 0
4 years ago
. Anna was thinking of a number. She told Bill that if he squared her number followed by subtracting 11 times her, and adding 4,
Snowcat [4.5K]

Answer:

Anna's number could be 5 and it could be 6.

Step-by-step explanation:

Let Anna's number be represented by x.

If Bill squared her number followed by subtracting 11 times her number, and adding 4, then he would get -26.

This implies that:

x^2 - 11x + 4 = -26

This is a quadratic equation and we can solve for x by factorization.

x^2 - 11x + 4 = -26\\\\=> x^2 - 11x + 4 + 26 = 0\\\\x^2 - 11x + 30 = 0\\\\x^2 -6x-5x + 30 = 0\\\\x(x - 6) - 5(x - 6) = 0\\\\(x - 5) (x - 6) = 0\\\\

=> x = 5 and x = 6

Anna's number could be 5 and it could be 6.

4 0
3 years ago
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