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ElenaW [278]
3 years ago
6

If x + 2 is a factor of x^2 +mx + 14 find m

Mathematics
1 answer:
jolli1 [7]3 years ago
3 0
X² + mx + 14            

If (x+2) one of the factors, we can write

14 = 2*7
m = 2+7= 9

x² +9x + 14 = (x+2)(x+7)



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How do you complete the square to rewrite y= x^ -6x + 15 in vertex form
Vaselesa [24]
Vertex form of a quadratic equation is y=a(x-h)^{2}+k
where (h, k) is the vertex. 

Our aim is to write the expression y=x^{2} -6x+15 in the form 
y=a(x-h)^{2}+k



y=x^{2} -6x+15

y=x^{2} -2*3*x+15

y=(x^{2} -2*3*x+ 3^{2})-3^{2}+ 15

y=(x-3)^{2}-9+15

y=(x-3)^{2}+6
5 0
3 years ago
The vector ~v represents the displacement vector from Portland, Oregon to Houston, Texas. The vector w~ represents the displacem
Art [367]

Answer:

a

the displacement of the plane is  - \= w

b

The displacement of plane  from Portland to Akron with layover at Houston is  

       \= v  + \= w

c

  the vector which defines this displacement is  \= v + \= w  =- 2500 \ km

Step-by-step explanation:

From the question we are the

   The displacement from Portland, Oregon to Houston, Texas. is  \= v

    The displacement  from Houston, Texas to Akron, Ohio.  is \= wa

a

   The motion of the plane in question a is in the opposite direction to vector \= w

So the displacement of the plane is  - \= w

b

The motion of Portland to Houston to Akron is in the direction of both vector \= v and  \= w  so

The displacement of plane  from Portland to Akron with layover at Houston is  

       d =  \= v  + \= w

c

From the question we are told that the plane flies over Portland to get to  Anchorage, Alaska which implies that it is moving in opposite direction to the vector \= v

   Give that distance from Portland to Houston is  \= v  = 3000 km

           and the distance from Portland to  Anchorage is \= w = - 5500km

Then the vector which defines this displacement is mathematically represented as

   \= v + \= w  = 3000  -5500

    \= v + \= w  =- 2500 \ km

       

4 0
3 years ago
Lara wrote the following statement:
BartSMP [9]

Answer:

do you have a pic

Step-by-step explanation:

7 0
3 years ago
Hi can someone please help me?
marshall27 [118]
Both can be right because if the function goes up, turns and goes down, between x = -2 and x = 2, it can happen that  f(-2) = f(2) and then the average rate of change is [f(2) - f(-2)] / [2-(-2)] which is 0/4 = 0.
4 0
3 years ago
16
vagabundo [1.1K]

Answer:

<h2>58°</h2>

Step-by-step explanation:

We will use the tangent function since we know the opposite and adjacent sides.

Tangent = opposite/adjacent

Tan(e) = 16/10

Tan(e) = 1.6

Use the inverse tangent function to find the angle.

Arctan (1.6) = 57.9946168

Rounding this we get: 58°

4 0
3 years ago
Read 2 more answers
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