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Roman55 [17]
3 years ago
12

The sum of two integers is 7 and their difference is 23.

Mathematics
2 answers:
const2013 [10]3 years ago
5 0

Answer:

x = 15, y = -8

Step-by-step explanation:

Call the integers x and y.

then you have x + y = 7 and x - y = 23.

Add them together.

2x = 30. This means x = 15, and y = -8.

Darina [25.2K]3 years ago
5 0

Answer:

<h2>15 and -8</h2>

Step-by-step explanation:

x,y-the\ integers\\\\\underline{+\left\{\begin{array}{ccc}x+y=7\\x-y=23\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad2x=30\qquad\text{divide both sides by 2}\\.\qquad\boxed{x=15}\\\\\text{Put the value of x to the first equation}\\\\15+y=7\qquad\text{subtract 15 from both sides}\\\boxed{y=-8}

Check:\\\\15+(-8)=15-8=7\\\\15-(-8)=15+8=23

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3 years ago
Need help please ! parallelogram
OverLord2011 [107]

Answer:

11). m∠W = 70°

12). m∠M = 95°

13). m∠Q = 135°

14). m∠Q = 55°

15). m∠X = 110°

Step-by-step explanation:

11). m∠W + m∠X = 180° [Consecutive interior angles]

    (24x - 2) + (36x + 2) = 180°

     60x = 180°

     x = \frac{180}{60}

     x = 3

     Therefore, m∠W = (24x - 2)°

     m∠W = (24×3 - 2)

               = 72 - 2

               = 70°

     Since opposite angles of a parallelogram are equal in measure.

     m∠Y = m∠W = 70°

12). m∠J + m∠K = 180° [Consecutive interior angles]

     (6x + 19) + (8x + 7) = 180°

     14x + 26 = 180

     14x = 180 - 26

     14x = 154

     x = \frac{154}{14}

     x = 11

     m∠K = (8x + 7)

     m∠K = 8×11 + 7

     m∠K = 95°

     Since m∠M = m∠K

     Therefore, m∠M = 95°

13). m∠Q = m∠S [Opposite angles of a parallelogram]

      x + 135 = 2x + 135

      2x - x = 0

      x = 0

      Therefore, m∠Q = 135°

14). m∠Q = m∠S [Opposite angles of a parallelogram]

      14x - 1 = 13x + 3

      14x - 13x = 3 + 1

      x = 4

      m∠Q = (13x + 3)

                = 13×4 + 3

                = 52 + 3

      m∠Q = 55°

15). m∠Z = m∠X

     (19x - 4) = (17x + 8)

      19x - 17x = 12

      2x = 12

      x = 6

      m∠X = (17x + 8)°

      m∠X = 17×6 + 8

      m∠X = 110°

5 0
3 years ago
A segment has endpoints at (15,−11) and (42,−11). How many units long is the segment?
Taya2010 [7]
\text {Length = }  \sqrt{(-11+11)^2 + (42-15)^2}

\text {Length = }  \sqrt{ (27)^2}

\text {Length = }  27 \text { units }
8 0
4 years ago
What is the value of 12x^-3 y-1 for x=-1 and y=5<br> A.-12/5<br> B.-180<br> C.-60<br> D.-5/12
Mkey [24]

Expressions are mathematical statements represented with the variables

The value of 12x^-3 y-1 for x=-1 and y=5 is - 12/5

<h3>How to determine the value of the variable</h3>

The expression is given as:

12x^{-3} y^{-1}

When x = -1, the expression becomes

12 * -1^{-3} y^{-1}

Evaluate the exponent

- 12 y^{-1}

When y = 5, the expression becomes

- 12 * 5^{-1}

Evaluate the exponent

- 12/5

Hence, the value of 12x^-3 y-1 for x=-1 and y=5 is - 12/5

Read more about expressions at:

brainly.com/question/723406

5 0
3 years ago
11/8a+5/4a=18 cuanto es ?
aleksandr82 [10.1K]

Answer:

The Answer is: 47 1/4

Step-by-step explanation:

11/8a + 5/4a = 18

Create a common denominator for he coefficient of a:

11/8a + 2/2 * 5/4a = 18

11/8a + 10/8a = 18

21/8a = 18

Multiply both sides by the inverse of 21/8:

8/21 * 21/8a = 18 * 21/8

a = 378/8 or 189/4 or 47 1/4

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4 years ago
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