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MissTica
3 years ago
6

For what values of a can you solve the linear system ax+3y=2 and 4x+5y=6 by elimination without multiplying first?

Mathematics
1 answer:
coldgirl [10]3 years ago
5 0

Answer:

a=-4

Step-by-step explanation:

ax+3y=2 and 4x+5y=6

In elimination method we try to eliminate one variable

To eliminate one variable we need to make the coefficients same with different sign

to eliminate the variable x  we need to make the number before x same and with different sign

In the second equation the coefficient of x is 4

so the value of 'a' should be -4 to eliminate

a=-4

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Kevin is 6 years older than Timothy. 4 years ago, Kevin was twice as old as Timothy. Find their present ages.
Novosadov [1.4K]

Step-by-step explanation:

Hope it helps.

Handwriting is a bit poor. So, restraint is advised!

:)

6 0
2 years ago
Describe how you would classify the shape below on the hierarchy. Start at the top and describe how you know if the shape fits i
Bingel [31]
I would classify that shape as a pentagon because it has 5 sides/edges.

It is shaped like the houses in the old times.

Hope I helped :) :)
8 0
3 years ago
Solve. x + 9 = –15 x = [1] <br><br> help please
max2010maxim [7]

Answer:

1/2

Step-by-step explanation:

x + 9 = -15x = [1]

x - x + 9 = -15x -x = 1

9 - 1 = -16x

8 = 16x

8/16 = 16/16x

1/2 = x

Hope this helps

7 0
3 years ago
Read 2 more answers
Which of the following represents the zeros of f(x) = x3 − 11x2 + 38x − 40?
Delvig [45]
The answer is <span>5, 4, 2
</span>
Among all choices we have 5, so
x = 5
x - 5 = 0
Let's divide the expression by (x - 5) using the long division:
                          x³ - 11x² + 38x - 40
(x - 5)  * x² =      x³ - 5x²                   Subtract
____________________________
                              -6x² + 38x - 40
   (x - 5) * (-6x) =    -6x² + 30x          Subtract
____________________________
                                           8x - 40
                    (x - 5) * 8 =     8x - 40   Sutract
____________________________
                                              0

Thus: x³ - 11x² + 38x - 40 = (x - 5)(x² - 6x + 8)

Now, let's simplify x² - 6x + 8.

x² - 6x + 8 = x² - 2x - 4x + 8 =
                  = x² - 2*x - (4*x - 4*2) = 
                  = x(x - 2) - 4(x - 2) =
                  = (x - 4)(x - 2)

Hence:
x³ - 11x² + 38x - 40 = (x - 5)(x - 4)(x - 2)
To calculate zero:
x³ - 11x² + 38x - 40 = 0
(x - 5)(x - 4)(x - 2) = 0
x - 5 = 0            or             x - 4 = 0              or      x - 2 = 0
x = 5                 or              x = 4                   or      x = 2
3 0
3 years ago
Help please. Having some trouble with this question
xeze [42]

Answer:

The answer to your question is 55 ft

Step-by-step explanation:

Data

Person's height = 5 ft

Person's shadow = 10 ft

Tree's height = ?

Tree's shadow = 110 ft

- Use the Thales' theorem to solve this problem

 Person's height / Person's shadow = Tree's height / Tree's shadow

- Substitution

                     5 / 10 = x / 110

-Solve for x

                     x = 5 (110) / 10

-Simplification

                     x = 550 / 10

-Result

                     x = 55 ft

-Conclusion

The tree is 55 ft height

5 0
3 years ago
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