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3 years ago

Use inductive reasoning to predict the most probable next number in the list.

Mathematics

1 answer:

agasfer [191]3 years ago

5 0

64 is the correct answer. The numbers are being multiplied. 1×1=1, 2×2=4, 3×3=9, 4×4=16, etc.

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What is the equation for 8= a-2

xenn [34]

Since we know that a - 2 will equal 8, it is safe to assume that 8 + 2 = 10. Therefore a=10.

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2 years ago

What should you do first to simplify the expression ( 54 + 6) ÷ 26 + 5?

TiliK225 [7]

Do the brackets first as it says in BIDMAS

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2 years ago

Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared. q2+11q

Sedbober [7]

Answer:

$(q+\frac{11}{2})^2-\frac{121}{4}$

Step-by-step explanation:

We have been given an expression $q^2+11q$ . We are asked to complete the square to make a perfect square trinomial. Then, write the result as a binomial squared.

We know that a perfect square trinomial is in form $a^2+2ab+b^2$ .

To convert our given expression into perfect square trinomial, we need to add and subtract $(\frac{b}{2})^2$ from our given expression.

We can see that value of b is 11, so we need to add and subtract $(\frac{11}{2})^2$ to our expression as:

$q^2+11q+(\frac{11}{2})^2-(\frac{11}{2})^2$

Upon comparing our expression with $(a+b)^2=a^2+2ab+b^2$ , we can see that $a=q$ , $2ab=11q$ and $b=\frac{11}{2}$ .

Upon simplifying our expression, we will get:

$(q+\frac{11}{2})^2-\frac{11^2}{2^2}$

$(q+\frac{11}{2})^2-\frac{121}{4}$

Therefore, our perfect square would be $(q+\frac{11}{2})^2-\frac{121}{4}$ .

8 0

2 years ago

Read 2 more answers

What’s the equation in vertex form?

pshichka [43]

Answer:

$\large\boxed{y=(x+5)^2-64}$

Step-by-step explanation:

$\text{The vertex form of equation}\ y=ax^2+bx+c:\\\\y=a(x-h)^2+k\\\\h=\dfrac{-b}{2a},\ k=f(h)\\\\\text{We have the equation:}\ y=x^2+10x-39\to x=1,\ b=10,\ c=-39.\\\\\text{Substitute:}\\\\h=\dfrac{-10}{2(1)}=\dfrac{-10}{2}=-5\\\\k=f(-5)=(-5)^2+10(-5)-39=25-50-39=-64\\\\\text{Finally:}\\\\y=1(x-(-5))^2-64=(x+5)^2-64$

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2 years ago

What is the slope of any line that is perpendicular to the line = y - 5 = 3/2 * (x + 1)

klio [65]

Answer:

-2/3

Step-by-step explanation:

6 0

1 year ago