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Nesterboy [21]
3 years ago
10

Need help plz help me

Mathematics
2 answers:
Mrrafil [7]3 years ago
6 0

Answer:

x = - 6, x = - 5

Step-by-step explanation:

Given

x² + 11x + 30 = 0

Consider the factors of the constant term ( + 30) which sum to give the coefficient of the x- term.

The factors are + 6 and + 5, since

6 × 5 = + 30 and 6 + 5 = + 11, hence

(x + 6)(x + 5) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 6 = 0 ⇒ x = - 6

x + 5 = 0 ⇒ x = - 5

IgorC [24]3 years ago
4 0

Step-by-step explanation:

how could we get 30x^2?

6x × 5x

<em>so</em><em>,</em>

x^2 +6x+5x+30=0

x (x+6) +5 (x+6)=0

(x+6)(x+5)=0

(x+6)=0/(x+5)=0

x=-6 or x=-5

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7 0
2 years ago
A triangle has an angle that measures 10°. The other two angles are in a ratio of 3:14. What
ivann1987 [24]

Step-by-step explanation:

<h3>Need to FinD :</h3>

  • We have to find the measures of other two angles of triangle.

\red{\frak{Given}} \begin{cases} & \sf{The\ measure\ of\ one\ angle\ of\ traingle\ is\ {\pmb{\sf{10^{\circ}}}}.} \\ & \sf{The\ other\ two\ angles\ are\ in\ the\ ratio\ of\ {\pmb{\sf{3\ :\ 14}}}.} \end{cases}

We know that,

  • The other two angles of triangle are in the ratio of 3 : 14. So, let us consider the other two angles of the triangle be 3x and 14x.

Angle sum property,

  • The angle sum property of triangle states that the sum of interior angles of triangle is 180°. By using this property, we'll find the other two angles of the triangle.

\rule{200}{3}

\sf \dashrightarrow {10^{\circ}\ +\ 3x\ +\ 14x\ =\ 180^{\circ}} \\ \\ \\ \sf \dashrightarrow {10^{\circ}\ +\ 17x\ =\ 180^{\circ}} \\ \\ \\ \sf \dashrightarrow {17x\ =\ 180^{\circ}\ -\ 10^{\circ}} \\ \\ \\ \sf \dashrightarrow {17x\ =\ 170^{\circ}} \\ \\ \\ \sf \dashrightarrow {x\ =\ \dfrac{\cancel{170^{\circ}}}{\cancel{17}}} \\ \\ \\ \dashrightarrow {\underbrace{\boxed{\pink{\frak{x\ =\ 10^{\circ}.}}}}_{\sf \blue {\tiny{Value\ of\ x}}}}

∴ Hence, the value of x is 10°. Now, let us find out the other two angles of the triangle.

\rule{200}{3}

Second AnglE :

  • 3x
  • 3 × 10
  • 30°

∴ Hence, the measure of the second angle of triangle is 30°. Now, let us find out the third angle of triangle.

\rule{200}{3}

Third AnglE :

  • 14x
  • 14 × 10
  • 140°

∴ Hence, the measure of the third angle of the triangle is 140°.

5 0
2 years ago
What is the simplest form of this expression? -x^3(5x+1)+4x^4
Fantom [35]

Answer:

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Step-by-step explanation:

Perform the indicated multiplication and then write out all the terms in descending order by powers of x:

-x^3(5x+1)+4x^4  =  -5x^4 - x^3 + 4x^4

                            =  -x^4 - x^3, or = -x^3*(x + 1)  

7 0
3 years ago
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DerKrebs [107]

Explanation:

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  {0, 2π/7, 4π/7, 6π/7, 8π/7, 10π/7, 12π/7} . . . in radians

Given that the circle shown is graduated in increments of π/6, you will need to do some estimating as to the actual location of the root.

___

The attached graph shows lines at increments of π/7 radians, so your graph will match every other one.

6 0
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