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frez [133]
3 years ago
8

Solve for m 3/5m = -15

Mathematics
2 answers:
Mice21 [21]3 years ago
7 0

Answer:

- 25

Step-by-step explanation:

Step 1:

3/5m = - 15      Equation

Step 2:

m = - 15 ÷ 3/5     Divide

Step 3:

m = - 15/1 × 5/3       Multiply

Answer:

m = - 25

Hope This Helps :)

AlladinOne [14]3 years ago
6 0

Answer:

m=-25

Step-by-step explanation:

To solve, make the variable "m" by itself. To do that, multiply the fraction "5/3" (or divide 3/5) to both sides.

3/5(5/3)m=-15(5/3)<--- 3/5 and 5/3 are reciprocals and cancel out. -15 times 5/3 equals -25.

m=-25

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We are given with a quadratic equation which represents a Parabola , we need to find the vertex of the parabola , But let's recall that , For any quadratic equation of the form ax² + bx + c = 0 , the vertex of the parabola is given by ;

{\quad \qquad \boxed{\bf{Vertex = \left(\dfrac{-b}{2a},\dfrac{-D}{4a}\right)}}}

Where , D = b² - 4ac (Discriminant)

Now , On comparing the given equation with ax² + bx + c , we have

⇢⇢⇢ <em><u>a = 1 , b = - 10 , c = 2</u></em><em><u>7</u></em>

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{:\implies \quad \sf D=(-10)^{2}-4\times 1\times 27}

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Now , Calculating the vertex ;

{:\implies \quad \sf Vertex =\bigg\{\dfrac{-(-10)}{2\times 1},\dfrac{-(-8)}{4\times 1}\bigg\}}

{:\implies \quad \sf Vertex = \left(\dfrac{10}{2},\dfrac{8}{2}\right)}

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Note :- As the Discriminant < 0 . So , the equation will have imaginary roots .

Refer to the attachment for the graph as well .

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