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3 years ago

For y = x^2 + 10x + 24, write the axis of symmetry, the vertex, and whether the

Mathematics

1 answer:

mylen [45]3 years ago

7 0

Answer:

x= - 2

Step-by-step explanation:

hello :

note : the equation of the axis symmetry for the parabola : y =ax²+bx+c

when : a≠ 0 is : x=- b/2a

in this exercice : a=1 and b=10

so : x= -10/2 = -5

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Enter the values of h and I so that y=x2+6x+10 is in vertex form<br> Y=(x+__)^2+___

DiKsa [7]

$Use\ (a+b)^2=a^2+2ab+b^2\qquad(*)\\\\y=x^2+6x+10=x^2+2(x)(3)+10=\underbrace{x^2+2(x)(3)+3^2}_{(*)}-3^2+10\\\\=(x+3)^2-9+10=(x+3)^2+1\\\\Answer:\ \boxed{y=(x+3)^2+1}$

3 0

3 years ago

Find the HCF of 126 and 420

melamori03 [73]

Answer:

Step-by-step explanation:

Find the prime factorization of 126

126 = 2 × 3 × 3 × 7

Find the prime factorization of 420

420 = 2 × 2 × 3 × 5 × 7

To find the GCF, multiply all the prime factors common to both numbers:

Therefore, GCF = 2 × 3 × 7

GCF = 42

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2 years ago

How many solutions does this linear system have? one solution: (0, 0) one solution: (1, –4) no solution infinite number of solut

Anna35 [415]

The system of equations has infinite solutions.

<h2>Given to us,</h2>

$y=-6x+2$
$-12x-2y=-4$

<h3>Equation 2,</h3>

The value of y is already given in equation 1,

$-12x-2y=-4$

substituting the value of y in equation 2,

$-12x-2(-6x+2)=-4\\-12x +12x-4=-4\\-12x+12x=-4+4\\0=0$

The solution of the two equations is 0. Also, we can see that both the equations are in ratio.

Further, the image also shows that the line of the two equations are coinciding.

Hence, the system of equations has infinite solutions.

Learn more about System of solutions:

brainly.com/question/14264175

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2 years ago

Approximately what portion of the circle is shaded blue?<br><br> A. 2/3<br> B. 2/10 C.2/5

Nuetrik [128]

C) closest to 2/5.
2/3 is bigger than half 2/10 would be like less than 1/4

3 0

2 years ago

Read 2 more answers

Find the surface area of the cylinder. Use a ~ 3.14 20 m

lesantik [10]

Answer:

1444.4 m2

Step-by-step explanation:

Surface Area = 2 * 3.14 * (R*R + R*L) = 2 * 3.14 * (10*10+10*13) = 1444.4 m2

Note .. You can Derive this

"Surface Area = 2 * 3.14 * (R*R + R*L)"

Using Calculus by differentiating its Volume

V = 3.14 * R * R * L

6 0

2 years ago