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kondor19780726 [428]
3 years ago
8

X - y = 6

Mathematics
1 answer:
Dominik [7]3 years ago
4 0

the system has no solution.

Option C is correct.

Step-by-step explanation:

We need to solve the system of equations by substitution

x - y = 6\,\,\,eq(1)\\x = y + 2\,\,\,eq(2)

Putting value of x from eq(2) into eq(1)

(y+2)-y=6\\y+2-y=6\\0+2=6\\0=6-2\\0\neq4

As as 0≠4is not true, we cannot find the value of y so the system has no solution.

Option C is correct.

Keywords: System of equations

Learn more about system of equations at:

  • brainly.com/question/7490805
  • brainly.com/question/9045597
  • brainly.com/question/13168205

#learnwithBrainly

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Let r and s be the roots of x^2 - 6x + 2 = 0. Find (r - s)^2.
Sphinxa [80]

Answer: (r-s)^{2} = 28

Step-by-step explanation:

  • x^{2} -6x+9=-2+9
  • (x-3)^{2}=7
  • (x-3)= -\sqrt{7} or \sqrt{7} <-- there's no plus/minus sign.
  • (x-3) = -\sqrt{7}
  • x = 3 -\sqrt{7} <-- root.
  • (x-3) = \sqrt{7}
  • x = 3+\sqrt{7} <-- root.
  • [(3-\sqrt{7})-(3+\sqrt{7})]^{2}
  • (3-\sqrt{7} -3 - \sqrt{7})^{2} <-- don't forget to distribute the negative.
  • (-2\sqrt{7})^{2}
  • (4)(7)
  • 28
4 0
3 years ago
Find the perimeter of triangles are 3.6, 5.7,4.5c
garri49 [273]

Answer:

13.8 cm

Step-by-step explanation:

the sides of the triangle measure 3.6, 5.7,4.5cm?

So, we have

perimeter is 3.6 + 5.7 + 4.5

13.8 cm

3 0
3 years ago
What is the difference between cross-section and intersection in geometry?
Triss [41]
A cross-section is the shape that would be exposed when cutting straight through a 3-D object. for example, cutting horizontally through a regular cone would expose a circle.

an intersection is where 2 or more shapes (does not matter how many dimensions) overlap. for example, the point at which two lines overlap is the intersection. or the area that two overlapping circles share is the intersection.
5 0
3 years ago
Calculate the perimeter and area of the triangle formed by the coordinates K (-4,-1) ,L(-2, 2), and M (3,-1).
Y_Kistochka [10]

Perimeter = 16.4 units

Using the heron's formula, Area ≈ 10.4 units².

<h3>What is the Heron's Formula?</h3>

The heron's formula is used to find the area of a triangle with known side lengths of all its three sides, a, b, and c. The heron's formula is given as: Area = √[s(s - a)(s - b)(s - c)], where s = half the perimeter of the triangle

s = (a + b + c)/2.

Given the following:

K (-4,-1) ,

L(-2, 2),

M (3,-1)

Use the distance formula, d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}, to find KL, LM, and KM.

KL = √[(−2−(−4))² + (2−(−1))²]

KL = √13 ≈ 3.6 units

LM = √[(−2−3)² + (2−(−1))²]

LM = √34 = 5.8 units

KM = √[(−4−3)² + (−1−(−1))²]

KM = √49 = 7 units

Perimeter = 3.6 + 5.8 + 7 = 16.4 units

Semi-perimeter (s) = 1/2(16.4) = 8.2 units

KL = a ≈ 3.6 units

LM = b = 5.8 units

KM = c = 7 units

s = 8.2

Plug in the values into √[s(s - a)(s - b)(s - c)]

Area = √[8.2(8.2 - 3.6)(8.2 - 5.8)(8.2 - 7)]

Area = √[8.2(4.6)(2.4)(1.2)]

Area = √108.6336

Area ≈ 10.4 units²

Learn more about heron's formula on:

brainly.com/question/10713495

#SPJ1

8 0
1 year ago
What is the inverse of y = x+3/4 ?<br><br> a. y=x-3/4<br> b. y=4x-3<br> c. y=4x+3<br> d. y= x-3/-4
viva [34]
Y = x + 3/4

x = y - 3/4

swap the variables:-

y = x - 3/4  (answer).   Its a.
4 0
3 years ago
Read 2 more answers
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