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V125BC [204]
3 years ago
15

An integer is three more than another integer. Twice the larger integer is two less

Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
3 0

Answer:

The integers are 4 and 7 or -2 and 1.

Step-by-step explanation:

You can make a system of equations with the description of the two integers.

1. x = y + 3

2. 2x + 2 = y^2

The simplest and the fastest way to solve this system in this case is substitution. You can substitute x for y + 3 in the second equation.

1. x = y + 3

2. 2(y + 3) + 2 = y^2

Now simplify and solve the second one. For convenience, I will just disregard the first equation for now.

2y + 6 + 2 = y^2

y^2 - 2y - 8 = 0

You can factor this equation to solve for y.

(y - 4) (y + 2) = 0

y = 4, y = -2

Now we can substitute the value of y for x in the first equation.

x = 7, x = 1

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2(xy) = (2x)y is an associative property of multiplication. This answer has been confirmed as correct and helpful.

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3 years ago
What is the equation of the line that has a slope of -4 and goes through (-1,6)
Rama09 [41]

Answer:

y = -4x + 2

Step-by-step explanation:

  • We know that the equation of slope is y = mx + b
  • We also know that the slope is -4 given in this problem
  • So:
  1. y = -4x + b
  2. Using the point (-1, 6), we can substitute this point into the above equation to solve for b.
  3. (6) = -4(-1) + b
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3 0
3 years ago
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Figure JKLM is translated 2 units down to form figure PQRS

<h3>Transformation</h3>

Transformation is the movement of a point from its initial point to a new location. Types of transformation are <em>rotation, reflection, translation and dilation</em>.

If a point A(x, y) is translated a units down, the new point is at A'(x, y - a)

Figure JKLM is translated 2 units down to form figure PQRS

Find out more on translation at: brainly.com/question/12861087

5 0
2 years ago
Pls give answer I need to submit today​
BabaBlast [244]

Answer:

a \: 5 \: 10 \: 15 \: 20 \: three \: of \: these \: numbers \\ b \: 2  < 4 < 6 < 8 < 10 < 12 < 14 < 16 <  \\ 18 < 20 \: three \: of \: these \: numbers \\ sum \: of \: numbers < 40 \\  \\ numbers \\ 10 \\ 20 \\ 5 \\ 2

7 0
3 years ago
Find the distance between these points.<br> C(0, 4), T(-6, -3)
beks73 [17]

Answer:

distance=\sqrt{85} =9.22

Step-by-step explanation:

We can use the general distance formula between any two points (x_1,y_1) and (x_2,y_2) on the plane given by:

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

We simply identify (x_1,y_1)  with (0, 4)  and  (x_2,y_2)  with  (-6, -3) , thus obtaining:

distance=\sqrt{(-6-0)^2+(-3-4)^2}\\distance=\sqrt{(-6)^2+(-7)^2} \\distance=\sqrt{36+49} \\distance=\sqrt{85} =9.22

3 0
4 years ago
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