MATHEMATICS HIGH SCHOOL

What are the solution(s) to the quadratic equation x2 – 25 = 0?A.x = 5 and x = –5
B.x = 25 and x = –25
C.x = 125 and x = –125
D.no real solution

Answers

Answer 1
Answer: difference of 2 perfect squares
a^2-b^2=(a-b)(a+b)
25=5^2
x^2-5^2=(x-5)(x+5)=0
set to zero
x-5=0
x=5
x+5=0
x=-5

x=5 or -5

A

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A student is attempting to solve a multi-step equation. Sample mathematical work is shown below. Which statement best applies to the sample mathematical work?Given the equation -m/2+8=-1/3, I must solve for m. I first subtract 8 from both sides, which gives me -m/2=-25/3 then multiply both sides by –2, which gives me the final answer of m=50/3

Answers

Although the given statements are missing, the student's step-by-step solution is correct. The student had aimed to isolate the unknown variable in order to solve it. The student made sure the first step was to leave only one term in the side with the variable, before simplifying fractions.

Is 10/9 closest to 0, 1/2 or 1? Explain

Is 2/15 closest to 0, 1/2 or 1?
Explain

Answers

10/9 can be rewritten as 1 1/9, so it's closest to 1. 2/15 is really small, so close to 0.

If x=square root of 6 and y^2=12 then 4/xy=

Answers

y² = 12
y = 2√3

x = √6

Now, 4 /xy
= 4/2√3√6
= 2 / 3√2
= √2/3

In short, Your Answer would be √2 / 3

Hope this helps!
x = root(6)
y = root(12)
4/(root(6)*root(12)) = 4/root(72)     multiply top and bottom by root(72)
4root(72)/72 =root(72)/18
root(72) = root(6^2 * 2) = 6root(2)
6root(2)/18 = root(2)/3
final answer root(2)/3

Diameter of a salad plate: 8 in

Answers

what is your question?

Explain how to convert decimal form into fractional form​

Answers

Answer:

to \: convert \:0.2 \: to \: fraction \: \: you \n \: insert \: 1 \: from \: the \n \: decimal \: point \n \: and \: then \: zeros \: according \: to \: the \: \n number \: of \: values \: you \: have \: after \: \n the \: decimal \: point \: \n (2)/(10) = 0.2 \n ok \: convert \: 0.052 \: to \: fraction \: you \n (52)/(1000) = 0.052

Answer:

To convert a decimal to a fraction, place the decimal number over its place value. For example, in 0.6, the six is in the tenths place, so we place 6 over 10 to create the equivalent fraction, 6/10. If needed, simplify the fraction.

Step-by-step explanation:

Find a value for k such that the following trinomial can be factored x^2-8x+k

Answers

Answer:

16

Step-by-step explanation:

x^2-8x+k is a quadratic expression of the form ax^2 + bx + c.  Here a = 1, b = -8 and c = k.  Focus on x^2-8x and complete the square as follows:  Take half of the coefficient of x (that is, take half of -8) and square the result:

(-4)^2 = 16; if we now write x^2-8x+ 16, we'll have the square of (x - 4):  (x -4)^2.

Thus, k = 16 turns x^2-8x+k into a perfect square.
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