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3 years ago

(a+3)(a+2) What’s the answer for a?

Mathematics

1 answer:

N76 [4]3 years ago

3 0

Hello,

(a+3)(a+2) =
a.a + a.2 + 3.a + 3.2 =
a²+2a + 3a + 6 =
a² +5a + 6

bye bye

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alekssr [168]

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4 0

3 years ago

Read 2 more answers

Let u and v be the solutions to 3x^2 + 5x + 7 = 0. Find u/v+v/u

Hitman42 [59]

Answer: $\dfrac{-17}{21}$

Step-by-step explanation:

Given: u and v be are the solutions of $3x^2+5x+7=0$

Let $ax^2+bx+c=0$ is the quadratic equation and u and v are the zeroes/solutions then

Sum of zeroes; $u+v = \dfrac{-b}{a}$

Product of zeroes; $uv= \dfrac{c}{a}$

Comparing $3x^2+5x+7=0$ to $ax^2+bx+c=0$

we get a= 3 , b= 5 and c = 7

$u+v = \dfrac{-b}{a} = \dfrac{-5}{3}----(i)$

$uv= \dfrac{c}{a} = \dfrac{7}{3}----(ii)$

Now we have to find

$\dfrac{u}{v} +\dfrac{v}{u} =\dfrac{u^2+v^2}{uv}$ adding and subtracting 2uv in numerator we get

$= \dfrac{u^2+v^2+2uv-2uv}{uv}= \dfrac{(u+v)^2-2uv}{uv}$

Substituting the values from (i) and (ii) we get

$\dfrac{(\dfrac{-5}{3} )^2-2\times \dfrac{7}{3} }{\dfrac{7}{3} } = \dfrac{\dfrac{25}{9} -\dfrac{14}{3} }{\dfrac{7}{3} }= \dfrac{\dfrac{25-42}{9} }{\dfrac{7}{3}} =\dfrac{-17}{9} \times \dfrac{3}{7} = \dfrac{-17}{21}$

Hence, the value of $\dfrac{u}{v} +\dfrac{v}{u}$ is $\dfrac{-17}{21}$

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3 years ago

Find the value of the variables in each figure. Explain your reasoning.

sergiy2304 [10]

Answer:

see explanation

Step-by-step explanation:

The figure has one pair of parallel sides and is a trapezoid.

Each lower base angle is supplementary to the upper base angle on the same side, thus

15x + 30 + 10x = 180 , that is

25x + 30 = 180 ( subtract 30 from both sides )

25x = 150 ( divide both sides by 25 )

x = 6

Also

3y + 18 + 90 = 180 , that is

3y + 108 = 180 ( subtract 108 from both sides )

3y = 72 ( divide both sides by 3 )

y = 24

-------------------------------------------------------------------

2x, 90 and x lie on a straight line and sum to 180 , thus

2x + 90 + x = 180 , that is

3x + 90 = 180 ( subtract 90 from both sides )

3x = 90 ( divide both sides by 3 )

x = 30

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2y and x are alternate angles and congruent , thus

2y = x = 30 ( divide both sides by 2 )

y = 15

4 0

3 years ago

Solve the system by using the combination method<br> 4x+9y=7 <br> 4x-9y=9

harkovskaia [24]

The two original functions are 4x+9y=7 and 4x-9y=9
To use the combination method, add all the values of the two equations together to cancel out one of the variables
4x+4x+9y-9y=7+9
8x=16
8x/8=16/8
x=2
4(2)+9y=7
8+9y=7
8-8+9y=7-8
9y=-1
y=- $\frac{1}{9}$

7 0

3 years ago

Describe two different ways to solve: -10=1/4(8y-12)

timurjin [86]

There are two ways to approach this question. The first is to divide both sides of the equation by 1/4, which is the same as multiplying by 4.
4*(-10)=4*(1/4)(8y-12)
-40=1(8y-12)
-40=8y-12
-40+12=8y-12+12
-28=8y
-28/8=8y/8
-3.5=y
Another method is to distribute 1/4 to each term within the parentheses.
-10=8y*(1/4) - 12*(1/4)
-10=2y - 3
-10+3=2y - 3 +3
-7=2y
-7/2= 2y/2
-3.5=y
I hope this is helpful!

3 0

2 years ago