sum of the numbers = - 3
Product of the numbers = 8
Find:sum of squares of the numbers
Solution:Let the three terms be a - d , a , a + d.
sum of the numbers = - 3
→ a - d + a + a + d = - 3
→ 3a = - 3
→ a = - 3/3
→ a = - 1
Also,
Product of the numbers = 8
→ (a - d) * (a) * (a + d) = 8
Putting the value of a and using (a + b) * (a - b) = a² - b² we get,
→ [ (- 1)² - d² ] = 8/ - 1
→ 1 - d² = - 8
→ 1 + 8 = d²
→ 9 = d²
→ d = 3
Hence,
a - d = - 1 - 3 = - 4 a = - 1 a + d = - 1 + 3 = 2Now,
Finding Sum of their squares :
→ (a - d)² + a² + (a + d)²
→ ( - 4)² + ( - 1)² + (2)²
→ 16 + 1 + 4
→ 21
Hence, the sum of the squares of the three terms is 21.
I hope it will help you.
Regards.
In 4 months, Mr. Nash wants to buy a car for $3,458. He already saved $1,226. How much must he save each month to have the total amount he needs if he saves the same amount each month?
can someone help me with 4,5,6 please and thank you
Answer:
SORRY BUT I DONT UNDERSTAND.
Step-by-step explanation:
HOPEFULLY YOU FIND THE ANSWER
Answer:
number 4 (I Think 138)
Step-by-step explanation:
I should of paid more attention in geometry sorry : (
Ruby went to brunch with
her friends. Their bill total
was $62.47. She wants to
leave a 20% tip. How
much will she tip?
Answer:
62.47 x 1.2 = 74.964
Step-by-step explanation:
to get 20% of a valve in addition to the original you multiply it by the the value plus the percent o you get 1.2 times the original value
Answer:
74.90
Step-by-step explanation:
I need someone to match all of these please
Answer:
we need the things to match lol
Step-by-step explanation:
M-n divided by 4 ; use m=5 and n=8
Step-by-step explanation:
m = 5
n = 8
m - n = 5 - 8 = - 3
m - n divided by 4 = - 3 /
Answer:
3
Step-by-step explanation:
PEMDAS means we divide first, and 8/4 is 2
then, we do the subtraction of 5 - 2, which is 3
The fairview high school community of 1854 students and 58 teachers attended a specail performance of a play at a local theatre the theartre has 49 rows with 48 seats in each row A) where any seats empty? How do u know? B) if ur answer to part a is yes find the number of empty seats
Answer:
A) where any seats empty? How do u know?
Yes, there were empty seats.
B) if ur answer to part a is yes find the number of empty seats
440 empty seats
Step-by-step explanation:
A) where any seats empty? How do u know?
Yes there were empty sits
B) if ur answer to part a is yes find the number of empty seats
We are told that the theater had the theartre has 49 rows with 48 seats in each row
This means the total number of seats in the theater =
49 × 48 = 2352 seats
The total number of people in the theater
= Number of teacher + Number of Students
= 1854 + 58 = 1912 people
This means 1912 seats were occupied
The number of empty seats = 2352 - 1912
= 440 seats
QUESTION 7 of 10: Assuming you sleep eight hours per day, how many hours do you have left for other activities during the week?
100 hours
112 hours
118 hours
120 hours
PLS HELP ILL GIVE BRAINLIEST AND 20 POINts
The square shown is divided into five cells. Starting at any cell, how many paths can be drawn that move only to adjacent cells and that include all five cells?
Answer:
150 (not sure)
Step-by-step explanation:
Paths that only touch 5 points unrepeatedly:
I used a tree diagram to list all the workable paths, taking cell A as an example:
ABCDEABCEDABECDABEDCAEBCDAEDCBADCBEADCEBADEBCADECB2*(3x2 - 1) = 10
When you start at A you would have 3 choices, but after that only two, and since DB or BD can't happen and crossing B and D for the second step is the same, I double it.
Paths that touch 5 points and reapeat one of them:
2*(3x2x2 - 1x2) = 20
Paths that touch 5 points and repeat two of them:
2*(3x2x2x2-1x2x2) = 40
Paths that touch 5 points and repeat three of them:
2*(3x2x2x2x2-1x2x2x2) = 80
The sum of the answers in these 4 senarios is the final answer.
150
3x – 2y = - 162) 5x – 4y = -12
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • Dan:
⠀[tex]3x-2y=162[/tex] and [tex]5x-4y=-12[/tex].
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • To find:
⠀The values of the variables [tex]x[/tex] and [tex]y[/tex] in the above examples.
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • Hello, mckee231!
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • Answers:
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________
⠀• 1. [tex]x = -54+\frac{2}{3}y, y[/tex]∈ℝ[tex], y = 81+\frac{3}{2}x, x[/tex]∈ℝ;
⠀• 2. [tex]x = -\frac{12}{5}+\frac{4}{5}y, y[/tex]∈ℝ[tex], y = 3+\frac{5}{4}x, x[/tex]∈ℝ.
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • Sincerely, Your ElskerNorge! :)
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________
what is 3x - 2y = -14?
Answer:
x= 8/11and y=41/11
Step-by-step explanation:
(-22) × (-10) =
A 221
B 220
C -220
Answer:
B).........................
since they are both negative the product will be positive
(^人^)
Answer:B
Step-by-step explanation: When multiplying two negatives the product is positive.
what slope of a line perpendicular to x= -8
Answer:
0
Step-by-step explanation:
The slope of a vertical or horizontal line is 0.
The product of 4 and a number plus 17 is 5
Answer:
the answer is -3
Step-by-step explanation:
how do you write x>-5 in interval notation?
Answer:
( − ∞ , − 5 ) ∪ ( 5 , ∞ )
Step-by-step explanation:
have a good day uwu
PLEASE HELP FAST.....WILL MARK AS BRAINLIEST IF GIVEN GOOD ANSWER
7. What is the distance between the points H(-5,9) and J(1,6)? Show your work.
Answer:
[tex] \huge{ \boxed{ \bold{ \sf{3 \sqrt{5} \: units}}}} [/tex]
Step-by-step explanation:
[tex] \sf{let \: H( - 5, \: 9) \longrightarrow \:(x1 \:, y1)}[/tex]
[tex] \sf{J(1 \:, 6) \longrightarrow \: (x2 \: ,y2)}[/tex]
[tex] \underline {\sf{ \: Finding \: the \: distance}} : [/tex]
[tex] \boxed{ \sf{distance = \sqrt{ {(x1 - x2)}^{2} + {(y2 - y1)}^{2} } }}[/tex]
[tex] \sf{⇢ \: distance = \sqrt{ {( - 5 - 1)}^{2} + {(9 - 6)}^{2} } }[/tex]
[tex] \sf{⇢ \: distance \: = \sqrt{ {( - 6)}^{2} + {(3)}^{2} } }[/tex]
[tex] \sf{⇢ \: distance \: = \sqrt{36 + 9}} [/tex]
[tex] \sf{⇢ \: distance \: = \sqrt{45} }[/tex]
[tex] \sf{⇢ \: distance = 3 \sqrt{5} \: units}[/tex]
Hope I helped !
Best regards! :D
~TheAnimeGirl
Selena bought a shirt on sale that was 20% less than the original price. The original price was $25. What was the sale price?
Answer:20 dollars
Step-by-step explanation:
Answer:
20 dollars:)
Step-by-step explanation:
The temperature increases by 1/4 degree per hour. If it is 75 degrees at'8 AM, at what time will the temperature be 79 degrees?
Mr. Wong wants to purchase 12 new smoke detectors for his house. Store A sells each smoke detector for $17 and Store B sells each smoke detector for $24. If Mr. Wong purchases all his smoke detectors at Store A, how much less will he spend than if he purchased all the smoke detectors at Store B?
Answer: $84
Step-by-step explanation:
Price of smoke detector in Store A = $17
Price of smoke detector in Store B = $24
Total detectors bought = 12
Price of 12 detectors in Store A = $17 x 12 = $204
Price of 12 detectors in Store B = $24 x 12 = $ 288
Difference = $ 288 -$ 204 = $84
Hence, he will spend $84 less than if he purchased all the smoke detectors at Store B.
Could someone help with this question
Answer:
B.
Step-by-step explanation:
A linear function refers to two distinct but related notions: In calculus and related areas, a linear function is a function whose graph is a straight line, that is, a polynomial function of degree zero or one. Which means that a linear function would be a "straight line."
If you find my answer helpful
Pls consider marking my answer as Brainliest! It would mean a lot!
Need help!!! will give brainliest
107
OH F£CK IM SRRY I ACCIDENTALLY THOUGHT IT WAS -9 INSTEAD OF -19 OOPs calculations r jacked up now D:
the answer is 107!!
angle m and p make supplementary angles, and i drew a line so u can see it clearly
What does f(x)=7 mean?
Answer:
f(x) is input value so f of x equals 7
Answer:
f(x) is used to represent a function. It is basically a substitution of y in linear equations.
Step-by-step explanation:
which statement about the function is true?
a) it is decreasing x<2
b) it is increasing when x>0
c)it has an x-intercept at (-1,0)
d)the domain is all positive numbers
Answer:
its c
Step-by-step explanation:
$130 plus a 20% tip is how much money
Answer:
$156
Step-by-step explanation:
130 times 20% = 26, 130 plus 26 = 156
Answer:
156 dollars
Step-by-step explanation:
You just multiply 130 with 1.2, because the 1 represents the whole, or 130, and the 0.2 represents the 20% tip .
130 x 1.2 = 156
Tina borrows $4,000 at a simple interest rate of 2% and plans on paying their loan over 6 years. What is the total amount Tina will have to repay on both the loan and interest? *
Answer:
$4480Step-by-step explanation:
Given
principal= $4000
rate= 2%= 0.02
time= 6 years
We know that the expression for simple interest is given as
Interest = PRT
solving for the interest we have
I=4000*0.02*6
I=480
Therefore Tina is paying an interest of $480
Tina will have to repay on both the loan and interest of
=4000+480
=$4480
Did I het this right and if not... HELP please ive been stuck on this
Answer:
[tex]\frac{3}{4}[/tex]
Step-by-step explanation:
[tex]\frac{1}{4} = \frac{1}{4}[/tex] [tex]\frac{1}{2} = \frac{2}{4}[/tex] [tex]\frac{1}{4} + \frac{2}{4} = \frac{3}{4}[/tex]*Note: you can NEVER add two fractions with unlike denominators. You can ONLY add two fractions with like denominators.*
I hope this helps!
2) The diagonal of a square is 27sq.root2 inches. Find the perimeter of the square.
Answer:
P≈76.37
Step-by-step explanation:
Using the formulas
P=4a
d= √2a
Solving for P
P=2√2d=2·√2·27≈76.36753
Use a vertical number line to think about how to represent the situation below. Then, answer the question.
A diver is 4 meters below sea level. What integer represents the location of the diver?
Answer:
it is negative four (-4)
Step-by-step explanation:
Answer:
This answer is very late but to anyone else wondering its -4
Step-by-step explanation:
4 meters below sea level would make it into the - area of numbers
-17k=-204 (one step equation )
Answer:
x=-12
Step-by-step explanation:
x=204/-17
shift .the negative sign
x= -204/17
x=-12
A map of Colorado says that the scale is 1 inch to 20 miles or 1 to 1,267,200.
Answer:
1 inch to 20 miles
Step-by-step explanation:
On a busy day, a vet thought the practice saw 28 cats. The actual number was 24 cats. What is the percent error between the vet's estimate and the actual amount? Round your answer to the nearest hundredths.
Answer:
16.67%
Step-by-step explanation:
A vet taught the practice saw 28 cats
The actual number was 24 cats
Therefore the percent value can be calculated as follows
= approximate value- exact value/exact value × 100
= 28-24/24 × 100
= 4/24 × 100
= 0.16666 × 100
= 16.666
= 16.67 % ( to the nearest hundredth)
