1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
hram777 [196]
3 years ago
13

(60 points)

Mathematics
1 answer:
natka813 [3]3 years ago
8 0

Answer:

<h2>2. D. 64</h2><h2>5. B. 1, -3/2</h2><h2>6. C. 0, 2</h2>

Step-by-step explanation:

2.\\(a-b)^2=a^2-2ab+b^2\\\\x^2-16x=-8\\\\x^2-2(x)(8)=-8\\\\\text{We have}\ 2ab=2(x)(8).\ \text{Therefore}\ b=8.\\\\x^2-2(x)(8)=-8\qquad\text{add}\ 8^2=64\ \text{to both sides}\\\\x^2-2(x)(8)+8^2=-8+64\\\\(x-8)^2=56

5.\\2x^2+x-1=2\qquad\text{subtract 2 from both sides}\\\\2x^2+x-3=0\\\\2x^2+3x-2x-3=0\\\\x(2x+3)-1(2x+3)=0\\\\(2x+3)(x-1)=0\iff 2x+3=0\ \vee\ x-1=0\\\\2x+3=0\qquad\text{subtract 3 from both sides}\\2x=-3\qquad\text{divide both sides by 2}\\\boxed{x=-\dfrac{3}{2}}\\\\x-1=0\qquad\text{add 1 to both sides}\\\boxed{x=1}

6.\\2x^2-4x=0\qquad\text{divide both sides by 2}\\\\x^2-2x=0\\\\x(x-2)=0\iff x=0\ \vee\ x-2=0\\\\\boxed{x=0}\\\\x-2=0\qquad\text{add 2 to both sides}\\\boxed{x=2}

You might be interested in
A square and a rectangle have the same perimeter is the length of the side of the square is 4X minusone the score of the rectang
Assoli18 [71]

Square Perimeter = 4(4x-1)

Rectangle Perimeter = 2(2x+1) + 2(x+2)

Square Perimeter = Rectangle Perimeter

4(4x-1) = 2(2x+1) + 2(x+2)

16x - 4 = 4x + 2 + 2x + 4

16x - 4 = 6x + 6

-6x +4 -6x +4

10x = 10

x = 1

5 0
2 years ago
Need help on 1 and 7 please giving out 19 points
Serjik [45]

Answer:

for number one the answer is no for 7 the answer is 5 seconds

Step-by-step explanation:

4 0
3 years ago
How many kilometers are in one meter
notka56 [123]
0.001 kilometers are in one meter<span />
8 0
3 years ago
Read 2 more answers
Expand and simplify 9w(3x-4y)-5w(x+y)
Llana [10]
\textbf{The~Answer~~of~~Question~} \\  \\ &#10;9w(3x-4y)-5w(x+y) \\  \\  27wx-36wy-5wx-5wy \\  \\ \boxed{22wx-41wy}  \\  \\ \textbf{Sancak1907}
4 0
3 years ago
Read 2 more answers
There exist infinitely many common fractions $\frac{a}{b}$ , where $a &gt; 0$ and $b &gt; 0$ and for which $\frac{3}{5} &lt; \fr
vredina [299]

Answer:

3/5 has the smallest denominator

Step-by-step explanation:

Question:

There exist infinitely many common fractions a/b , where a > 0 and b > 0 and for which 3/5 < a/b< 2/3. Of these common fractions, which has the smallest denominator? Express your answer as a common fraction.

Solution

A Common fraction is a rational number written in the form: a/b. Where a and b are both integers.

The denominator and numerator in this case are greater than zero. That is, they are non zeros.

The least common denominator (LCD) of two non- zero denominators is the smallest whole number that is divisible by each of the denominators.

To find the smallest denominator between 3/5 and 2/3, we would convert the fractions to equivalent fractions with a common denominator by finding their LCM (lowest common multiple).

When comparing two fractions with like denominators, the larger fraction is the one with the greater numerator and the smaller fraction is one with the smaller numerator.

In our solution after comparing, the smaller fraction would have the smallest denominator.

Find attached the solution.

3 0
3 years ago
Other questions:
  • b. From where the shoes spilled (48°N, 161°W) to where they were found on May 22nd 1996 (54°N, 133°W), how many kilometers did t
    14·1 answer
  • Which of the tables represents a function?
    11·1 answer
  • The sum of a number and two times a smaller number is 62. Three times the bigger number exceeds the smaller number by 116. The b
    7·1 answer
  • Find the lengths of the bases of the trapezoid with a height of 10 ft. One base is 4ft longer than the other bases. The area is
    7·1 answer
  • The cube of twice a number.
    15·1 answer
  • Given a sphere with a radius of 7.5 ft.
    9·1 answer
  • Which of these are not equivalent to 0.12? (a) 1.2, (b) 12% , (c) 0.12/100, (d) 0.120​
    11·1 answer
  • What is the slope of the line that passes through the points
    12·1 answer
  • For the high school basketball game, it costs $8 for every 2 tickets.
    9·2 answers
  • On the grid draw y = 4x - 5 for values of c from -2 to 2
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!