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3 years ago

Find two numbers sum -12 and their difference is -2 (chapter integers,explanation also)

Mathematics

2 answers:

BaLLatris [955]3 years ago

5 0

Step-by-step explanation:

x+y=-12

x-y=-2

solve by simultaneous equations multiply the second equation by -1

-x-y=2

subtract both equations

y=10

x+10=-12

×=-22

Vsevolod [243]3 years ago

5 0

Answer:

-7 and -5

Step-by-step explanation:

a + b = -12

a - b = -2

2a = -12 + -2 = -14 ----> a = -7

-7 + b = -12 ---> b = -5

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Complete two ratios to describe the model. 4 dark blue triangles and 12 light blue triangles. The ratio of light blue triangles

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Answer:

1:3

Step-by-step explanation:

4:12 simplified is 1:3. for every 1 dark blue there are 3 light blues.

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3 years ago

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Write a quadratic equation given the roots -1/3 and 5, show your work

Travka [436]

$\boxed{(x - a)(x - b) = 0}$

The equation above is the intercept form. Both a-term and b-term are the roots of equation.

$x = - \frac{1}{3} \\ x = 5$

These are the roots of equation. Therefore we substitute a = - 1/3 and b = 5 in the equation.

$(x + \frac{1}{3} )(x - 5) = 0$

Here we can convert the expression x+1/3 to this.

$x + \frac{1}{3} = 0 \\ 3x + 1 = 0$

Rewrite the equation.

$(3x + 1)(x - 5) = 0$

Simplify by multiplying both expressions.

$3 {x}^{2} - 15x + x - 5 = 0 \\ 3 {x}^{2} - 14x - 5 = 0$

Answer Check

Substitute the given roots in the equation.

$3 {(5)}^{2} - 14(5) - 5 = 0 \\ 75 - 70 - 5 = 0 \\ 75 - 75 = 0 \\ 0 = 0$

$3( - \frac{1}{3} )^{2} - 14( - \frac{1}{3}) - 5 = 0 \\ 3( \frac{1}{9} ) + \frac{14}{3} - 5 = 0 \\ \frac{1}{3} + \frac{14}{3} - \frac{15}{3} = 0 \\ \frac{15}{3} - \frac{15}{3} = 0 \\ 0 = 0$

The equation is true for both roots.

Answer

$\large \boxed {3 {x}^{2} - 14x - 5 = 0}$

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2 years ago

What is the slope of the line

lidiya [134]

Answer:

c is the correct answer

Step-by-step explanation:

because i worked it out

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2 years ago

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photoshop1234 [79]

If you would like to calculate the arithmetic mean, geometric mean, and harmonic mean from the following averages, you can calculate this using the following steps:

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the number of values: 3

arithmetic mean:
(56.4 + 59.8 + 55.8) / 3 = 57.33

geometric mean:
(56.4 * 59.8 * 55.8)^(1/3) = 57.31

harmonic mean:
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3 years ago

-4w+18w+2=10-6w What is w?

kiruha [24]

Answer:

w = .5

Step-by-step explanation:

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3 years ago

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