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Sergeeva-Olga [200]
3 years ago
15

Solve: 6x + 10 = 4x -8. Determine how many solutions? (exactly one, infinitely many, no solution)

Mathematics
1 answer:
Vesnalui [34]3 years ago
7 0
  • Answer:

<em>x = - 9</em>

  • Step-by-step explanation:

<em>6x + 10 = 4x - 8</em>

<em>6x - 4x = - 10 - 8</em>

<em>2x = - 18</em>

<em>x = - 18 : 2</em>

<em>x = - 9</em>

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Find UV (Pic Stated Below)
natta225 [31]

Answer:

UV=29

Step-by-step explanation:

In right triangles AQB and AVB,

∠AQB = ∠AVB ...(i)  {Right angles}

∠QBA = ∠VBA ...(ii)  {Given that they are equal}

We know that sum of all three angles in a triangle is equal to 180 degree. So wee can write sum equation for each triangle


∠AQB+∠QBA+∠BAQ=180 ...(iii)

∠AVB+∠VBA+∠BAV=180 ...(iv)


using (iii) and (iv)

∠AQB+∠QBA+∠BAQ=∠AVB+∠VBA+∠BAV

∠AVB+∠VBA+∠BAQ=∠AVB+∠VBA+∠BAV  (using (i) and (ii))

∠BAQ=∠BAV...(v)


Now consider triangles AQB and AVB;

∠BAQ=∠BAV  {from (v)}

∠QBA = ∠VBA {from (ii)}

AB=AB  {common side}

So using ASA, triangles AQB and AVB are congruent.

We know that corresponding sides of congruent triangles are equal.

Hence

AQ=AV

5x+9=7x+1

9-1=7x-5x

8=2x

divide both sides by 2

4=x

Now plug value of x=4 into UV=7x+1

UV=7*4+1=28+1=29

<u>Hence UV=29 is final answer.</u>

7 0
3 years ago
Which transformation will map figure Lonto figure 12 (1 point)
Alexandra [31]

Answer:

Horizontal translation of 6 units

3 0
2 years ago
Is -2 a solution to 4x^(3)-x^(2)+16x-4
sergiy2304 [10]

Answer:

Not a solution

Step-by-step explanation:

In order for x=-2 to be a solution, the result after substituting must be 0:

4(-2)^3-(-2)^2+16(-2)-4\stackrel{?}{=}0

4(-8)-4-32-4\stackrel{?}{=}0

-32-40\stackrel{?}{=}0

-72\neq0

Therefore, x=-2 is not a solution to 4x^3-x^2+16x-4

3 0
2 years ago
Write an equation for the translation of y = |x| and the translation is up 4 right 2.
Darya [45]
<span> y = |x-2|+4

it is a negative 2 because you do the inverse</span>
8 0
3 years ago
Please help. Also please show your work. Y/5 - 2/5
Maurinko [17]

Answer:

0.2(y-2)

Step-by-step explanation:

factor out 1/5 from the expression

1/5×(y-2)

0.2(y-2)

8 0
3 years ago
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