Answers
Answer:
C. 15
Step-by-step explanation:
1. First, let's solve the system of equations; [tex]-m - n = 5, m - n = -3[/tex]
Solve -m - n = 5 for m.
[tex]-m -n = 5[/tex] [tex]-m-n+n=5+n[/tex] [tex]-m = n + 5[/tex] [tex]\frac{-m}{-1} = \frac{n+5}{-1}[/tex] [tex]m = -n - 5[/tex]Substitute -n - 5 for m in m - n = -3.
[tex]m - n = -3[/tex] [tex]-n - 5 - n = -3[/tex] [tex]-2n-5=-3[/tex] [tex]-2n-5+5=-3+5[/tex] [tex]-2n = 2[/tex] [tex]\frac{-2n}{-2} = \frac{2}{-2}[/tex] [tex]n = -1[/tex]Substitute -1 for n in m = -n - 5.
[tex]m = -n - 5[/tex] [tex]m = -(-1) - 5[/tex] [tex]m = 1 - 5[/tex] [tex]m = -4[/tex]2. Okay, now that we know m = -4 and n = -1, let's solve for m^2 -n^2.
[tex]m^2-n^2[/tex] [tex](-4)^2-(-1)^2[/tex] [tex]16 - (-1)^2[/tex] [tex]16 - 1[/tex] [tex]15[/tex]Therefore, the answer is C. 15!
Answer:
c 15
Step-by-step explanation:
-m-n=5
m+n=-5
(m+n)×(m-n)=m²-n²
m²-n²=-3×-5=15
Related Questions
what is 1/3x+10=3/4x+5
Answers
Answer:
x=12
Step-by-step explanation:
Just use some algebra to collect the like terms from each side
Answer:
x = 12
Step-by-step explanation:
1/3x+10=3/4x+5
make 1/3 & 3/4 have the same denominator
4/12 & 9/12
4/12x+10=9/12x+5
-4/12x+10=9/12x-5
5 = 5/12x
60 = 5x
12 = x
harry and his 3 friends decided to order pizza, and the cost was $42.24. How much money will each have to pay?
Answers
Answer:
$10.54
Step-by-step explanation:
42.24 divided by 4
please help me with this
Answers
Answer:
The answer will be “B”
Step-by-step explanation:
If you liked this answer please give brainleist and rating! Hope this helps! ^_^
On Monday, 4 x 10 to the power of 2 people went to Fun World Amusement Park. On Tuesday, there were 3 x 10 to the power of 6 patrons at the amusement park. How many times larger was Tuesday's attendance than Monday's ?
Answers
The Monday and Tuesday attendance are illustrations of proportions.
Tuesday's attendance is larger than Monday's 7500
The given parameters are:
[tex]\mathbf{Monday = 4 \times 10^2}[/tex]
[tex]\mathbf{Tuesday = 3 \times 10^6}[/tex]
The number of times (n) the Tuesday attendance is larger than Monday's is:
[tex]\mathbf{n = \frac{Tuesday}{Monday}}[/tex]
So, we have:
[tex]\mathbf{n = \frac{3 \times 10^6}{4 \times 10^2}}[/tex]
[tex]\mathbf{n = 0.75 \times 10^{6-2}}[/tex]
[tex]\mathbf{n = 0.75 \times 10^{4}}[/tex]
[tex]\mathbf{n = 7500}[/tex]
Hence, Tuesday's attendance is larger than Monday's 7500
Read more about proportions at:
https://brainly.com/question/21126582
Identify the initial condition and the rate of change
a = b − 21
Answers
In the given expression :
a = b - 21rate of change = 1
Initial condition = - 21
Answer:
Option BStep-by-step explanation:
Given relationship:
a = b - 21It could be shown as:
a = 1*b + (-21)The rate of change is 1 and the initial condition is -21.
Correct choice is B
I dont know this no links though
Answers
Answer:
ok do the sqare root of 54 and 24 round to the nearest tenth then multiply the 54 by 3 and the 24 by 4 then subtract them too
Step-by-step explanation:
Simplify the expression (4-5i)(2+6i)-(3-2i) show your work.
Answers
The simplification of the given expression [tex](4-5i)(2+6i)-(3-2i)[/tex], we get [tex]-30i^2+16i+5[/tex].
Given expression is:
[tex](4-5i)(2+6i)-(3-2i)[/tex]By applying the multiplication, we get
→ [tex](8-10i+24i-30i^2)-(3-2i)[/tex]
By multiplying the (-) sign into the bracket, we get
→ [tex]8-10i+24i-30i^2-3+2i[/tex]
→ [tex]5+16i-30i^2[/tex]
By arranging the terms, we get
→ [tex]-30i^2+16i+5[/tex]
Thus the answer above is right.
Learn more:
https://brainly.com/question/19593573
8 times what number equals 24?
Answers
[tex]8 \times x = 24 \\ x = \frac{24}{8} \\ x = 3[/tex]
Solved8×3=24Answer:
3
Step-by-step explanation:
24 ÷ 8 = 3
8 × 3 = 24
....................
help me smart math people
Answers
Answer:
48 because i720 divided into 15 groups calculate to 48
find three consecutive integers whose sum of the first and the third is -88
Answers
Answer:
Step-by-step explanation:
{-43; -44; -45}
-43+(-45)=-88
An architect makes a scale drawing for a new school building. The door to the school on the scale drawing is 12 inches tall, while the actual door will be 8 feet tall.Question 1Part ABased on the measures of the door, what is the unit rate of feet of school building per inch of the module?Enter the correct answer in the box
Answers
Answer:
96
Step-by-step explanation:
Pls Help!! (ILL GIVE BRAINLIEST)
Triangle PQR is transformed to triangle P′Q′R′. Triangle PQR has vertices P(4, 0), Q(0, â’4), and R(â’8, â’4). Triangle P′Q′R′ has vertices P′(1, 0), Q′(0, â’1), and R′(â’2, â’1).
Plot triangles PQR and P′Q′R′ on your own coordinate grid.
Part A: What is the scale factor of the dilation that transforms triangle PQR to triangle P′Q′R′? Explain your answer.
Part B: Write the coordinates of triangle P′′Q′′R′′ obtained after P′Q′R′ is reflected about the y-axis.
Part C: Are the two triangles PQR and P′'Q′'R′' congruent? Explain your answer.
Answers
Answer:
your mom lol sooooooooooooo
Which are the coordinates of Jefferson High School's Parking Lot B?
(-4, 3)
(-4,-3)
(-3,-4)
(-3, 4)
Answers
Answer:
(-3,4)
Step-by-step explanation:
the point is on -3 on the x-axis and 4 on the y-axis
Answer:(-3,4)
Step-by-step explanation:took the test and got right
11. Find the value of r so that the polygons have the same per
X+4
x + 5
x + 3
X-2
X+4
(Just solve 11. Pleaaase!)
Answers
Answer: i
Step-by-step explanation: dk
1/2x-1/4y=10
1/8x-1/8y=19
which ordered pair (x,y) satisfies the system of equations above
a) (-122,264)
b) (64,88)
c) (232/3, 224/3)
d) (288,536)
Answers
Answer: (-112,-264)
Step-by-step explanation:
The sum of three numbers is 66. The second number is twice the first and six less than the third. find the numbers
Answers
Step-by-step explanation:
let the 1st number be x
and,
2nd number = 2x
3rd number = 2x + 6
their sum = 66
so, after inserting the values we got
→ x + 2x + 2x + 6 = 66
→ 5x + 6 = 66
→ 5x = 66 - 6 = 60
→ x = 60/5 = 12
→ x = 12
therefore,
1st number = x = 12
2nd number = 2x = 12 × 2 = 24
3rd number = 2x + 6 = 24 + 6 = 30
hope this answer helps you dear...take care and may u have a great day ahead!
3 3/4 divided by 2 1/12 in simplest form
Answers
Answer: the final answer is 1 4/5 or 9/5
Step-by-step explanation:
First:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
3 3/4 turns into 15/4 and 2 1/12 turns into 25/12
Second: then flip the 2nd fraction so it becomes 12/25
now multiply straight across: 15/4 x 12/25
15 x 12=180
4 x 25=100
180/100= 9/5= 1 1/4
Simplest form of quotient of given fractions is 9/5.
The given fractions are [tex]3\frac{3}{4}[/tex] and [tex]2\frac{1}{12}[/tex].
How to divide two fractions?Dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. The first step to dividing fractions is to find the reciprocal of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators.
[tex]3\frac{3}{4}[/tex] can be written as [tex]\frac{15}{4}[/tex] and [tex]2\frac{1}{12}[/tex] can be written as [tex]\frac{25}{12}[/tex].
Keep 15/4 and change division sign to multiplication sign and reverse the fraction 25/12 as 12/25.
That is , [tex]\frac{15}{4} \div \frac{25}{12} = \frac{15}{4} \times \frac{12}{25}[/tex]
[tex]=\frac{3}{1} \times \frac{3}{5} =\frac{9}{5}[/tex]
So, quotient = 9/5
Therefore, simplest form of quotient of given fractions is 9/5.
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https://brainly.com/question/10708469.
#SPJ2
Rise over run please?????????
Answers
Answer:
1/3
Step-by-step explanation:
up 1 right 3
Rise 1 run 3
0.0133 rounded to the nearest tenth
Answers
Answer:
0.0130
Step-by-step explanation:
tenths are the second if you read to the left
Answer:
0
Step-by-step explanation:
looking at the hundreths which is one. one is less then 5 so its not rounding up.
Find the value of x using the figure to the right.
Answers
Answer:
yes it may be 3
Step-by-step explanation:
Order these numbers from least to greatest . 9 2/5, 167/20, 8.406, 8.49
Answers
Answer: 0.04, 0.2, 1/2, 3/4, 5, 73
Step-by-step explanation:
The ratio of the length of a rectangle to the width of the rectangle is 3 inches to 2 inches. What is the length of the rectangle if the width is 4 inches?
Answers
Answer:
6 in
Step-by-step explanation:
2/3 = 4/x
(4*3)/2
Look at the angle. Which description is true
Answers
Answer:
The angle is greater than 90 degrees, which is also known as an obtuse angle.
6. Choose one point on the graph of the
proportional relationship and explain what
this point means in terms of the situation.
Answers
Choose one point on the graph of the
proportional relationship and explain what
this point means in terms of the situation.
The students in Hunter's grade voted to select a guest speaker. 60 students voted for a famous athlete. If there are 75 students in Hunter's grade, what percentage of the students voted for the athlete?
Answers
Answer:
80%
Step-by-step explanation:
60/75 = 4/5 = 80%
Plz help it’s due tonight!!!
Answers
sorry
Step-by-step explanation:
factorise:
a) 32x⁴-8y²
Answers
Answer:
8(2x² - y)(2x² + y)
Step-by-step explanation:
32[tex]x^{4}[/tex] - 8y² ← factor out 8 from each term
= 8(4[tex]x^{4}[/tex] - y²) ← difference of squares which factors in general as
a² - b² = (a - b)(a + b) , then
4[tex]x^{4}[/tex] - y²
= [tex](2x^2)^{2}[/tex] - y²
= (2x² - y)(2x² + y)
Thus
32[tex]x^{4}[/tex] - 8y² = 8(2x² - y)(2x² + y)
Multiply. (−914)×(0.1)×(−28) What is the product?
Answers
Answer:
(-914)×(0.1)×(-28)=2559.2
PLEASE HELP!! THIS COUNTS FOR 18 PERCENT OF MY GRADE!!!!
Answers
Answer:
question is blurry plz ss it carefully
PLEASE PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEE HELP
Answers
Answer: 116.16675
Step-by-step explanation:
hope this helps:)