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Aleks04 [339]
3 years ago
11

Y= -2+1 3х - 2y = 5 Please tell me how you solved it I’m taking a test

Mathematics
1 answer:
yarga [219]3 years ago
6 0

Answer:

x= 1

Step-by-step explanation:

y= -2 + 1

3x - 2y = 5

substituting method:

substituting y= -2+1 in equ. 3x-2y=5

=> 3x - 2(-2 + 1) = 5

=> 3x +4 -2 = 5

=> 3x + 2 = 5

=> 3x = 5 -2

=> 3x = 3

=> x = 3/3

=> x = 1

You might be interested in
An empty rectangular tank measures 60 cm by 50 cm by 56 cm. It is being filled with water flowing from a tap at a rate of 8 lite
Aleksandr-060686 [28]

Answer:

21 min

Step-by-step explanation:

V = lwh

V = 60(50)(56) = 168000 cu. cm

8 liters = 8000 cu cm

168000/8000 = 21 min.

5 0
2 years ago
Which statements about variables are true? Select all that apply.
ASHA 777 [7]

Answer:

Step-by-step explanation:

True:

Any letter can be used as a variable (yes)

Variables are used for numbers that haven't been defined yet (maybe)

All the rest are false

Hope this helps!

5 0
3 years ago
What is the equation of the circle with center (-3,1) that passes through the point (-5, 3)?
Natali5045456 [20]

Answer:

Option B) (x + 3)^2 + (y – 1)^2 = 8 is the correct answer.

Step-by-step explanation:

The equation of a circle with center (h,k) and radius r is given by:

(x-h)^2 + (y-k)^2 = r^2

Given

Center = (h,k) = (-3,1)

=> h = -3

=> k = 1

The distance between the center of circle and the point through which the circle passes will be the radius.

The distance formula is given by:

r = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2

Given

(x_1,y_1) = (-3,1)\\(x_2,y_2) = (-5,3)

Putting the values in the formula

r = \sqrt{(-5+3)^2+(3-1)^2}\\r = \sqrt{(-2)^2+(2)^2}\\r = \sqrt{4+4}\\r = \sqrt{8}

Putting the values of h,k and r in general form of equation

\{x-(-3)}^2\} +(y-1)^2 = (\sqrt{8})^2\\(x+3)^2+(y-1)^2 = 8

Hence,

Option B) (x + 3)^2 + (y – 1)^2 = 8 is the correct answer.

4 0
2 years ago
Simplify polynomial
Kay [80]

Answer:

j² - 5j²k - 2

Step-by-step explanation:

3j² - j²k - 6 - 4j²k - 2j² + 4

To simplify this polynomial, we can collect like terms. A term is number(s) or variable(s) that are grouped together by multiplication. <u>Like terms have the same variable and exponent</u>.

We have three groups of like terms:

The j-squares (j²), the j-squared k (j²k) and the constants (no variable).

Remember to include the negatives!

The j-squares are: 3j² ; -2j²

The j-squares k are: - j²k ; - 4j²k

The constants are: - 6 ; 4

Simplify:

3j² - j²k - 6 - 4j²k - 2j² + 4

Rearrange the polynomial by like terms

= (- j²k - 4j²k) +  (3j² - 2j²) + (- 6 + 4)

Add or subtract the like terms

= (-5j²k) + (j²) + (-2)

Remove brackets and rearrange so the negative is not first

= j² + - 5j²k + - 2

Simplify where two signs are together. Adding a negative is subtraction.

= j² - 5j²k - 2                  Simplified

8 0
3 years ago
A city is building a fence around a rectangular playground if the perimeter of the playground is 104 feet and the length of one
34kurt

Answer:

20 ft

Step-by-step explanation:

We know that

Perimeter of rectangle = 2(l + w)

Let the width be w

=> 104 = 2(32 + w)

=> 104/2 = 32 + w

=> 52 = 32 + w

=> 52 - 32 = w

=> 20 = w

Hence z

Width of playground is 20 ft

8 0
2 years ago
Read 2 more answers
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