Answer:
Step-by-step explanation:
a² + b² + c² = ab + bc + ca
On multiplying both sides by “2”, it becomes
2 ( a² + b² + c² ) = 2 ( ab + bc + ca)
2a² + 2b² + 2c² = 2ab + 2bc + 2ca
a² + a² + b² + b² + c² + c² – 2ab – 2bc – 2ca = 0
a² + b² – 2ab + b² + c² – 2bc + c² + a² – 2ca = 0
(a² + b² – 2ab) + (b² + c² – 2bc) + (c² + a² – 2ca) = 0
(a – b)² + (b – c)² + (c – a)² = 0
=> Since the sum of square is zero then each term should be zero
⇒ (a –b)² = 0, (b – c)² = 0, (c – a)² = 0
⇒ (a –b) = 0, (b – c) = 0, (c – a) = 0
⇒ a = b, b = c, c = a
∴ a = b = c.
hence
a+b/b
a+a/a= (since a=b)
2a/a=
a....
Jenna's brother borrowed $200 from her to buy a tablet. She will charge him 3% simple interest. Her brother says he will pay her back in 6 months. What is the total amount he will pay back?
Answer:
personally I believe its 6..
Step-by-step explanation:
10% of 200 is 20. if 10% is 20 then each part would equal 2. 2×3 is equal to 6
Answer:
$203
Step-by-step explanation:
To find the cost he pays back you need to mulitply 200 x 3% x 6 months.
Because you can't multiply with different units, you convert them to the same unit. (Numeric form)
To convert, we divide 3% by 100 and get 0.03
6 MONTHs is equal to 1/2 of a year which is also 0.5.
Now that all of our numbers are using the same units, we can multiply.
200(0.03)(0.5)
200 x 0.03 is 6
6 x 0.5 is 3.
We need to add the total amount her brother pays her back and the interest.
He pays her $200 for the Tablet and gives her $3 for the interest.
200+3=203.
A submarine is 150 feet below sea level and then descends 850 feet before rising 35 feet and leveling out. At what depth is the submarine when it levels out?
Rewrite 8 2/5
as an improper fraction.
Answer:
42/5
Step-by-step explanation:
If you multiply the denominator (5) by the whole number you would get 40, so then, you add this to the numerator (2), you would get 42 after. So the answer would be 42/5 (you keep the denominator). You can trust my answer because I'm n middle school and this was in like elementary school :P
Donte simplified the expression below. 4 (1 + 3 i) minus (8 minus 5 i). 4 + 3 i minus 8 + 5 i. Negative 4 + 8 i. What mistake did Donte make?
Answer:
He didn't expand properly.
This part: 4(1 + 3i)
Step-by-step explanation:
4(1 + 3i) - (8 - 5i)
Expand:
4 + 12i - 8 + 5i
-4 + 17i
Answer:
A on edge2020
Step-by-step explanation:
did the test
Which of the following functions has a rate of change of 5?(2 points)
f(5)=300 and f(7)=290
f(5)=225 and f(10)=250
f(3)=278 and f(5)=320
f(2)=317 and f(5)=296
Answer:
f(5)=225 and f(10)=250
Step-by-step explanation:
25 points help me please
Answer:
we need to know what the question is.
Step-by-step explanation:
Not sure how to do this
Tom walks 3.2 km every morning. How many feet are in 3.2 km, given that 1 mile = 1.609 km and 1 mile = 5,280 feet? 2,654.85 feet 8,500.67 feet 10,500.93 feet 16,901.15 feetTom walks 3.2 km every morning. How many feet are in 3.2 km, given that 1 mile = 1.609 km and 1 mile = 5,280 feet? 2,654.85 feet 8,500.67 feet 10,500.93 feet 16,901.15 feet
Answer:
10,500.93 feet
Step-by-step explanation:
From the question, we are told that Tom walks 3.2km every morning.
1 mile = 1.609km
1 mile = 5280 feet
Step 1
1.609km = 1 mile
3.2km = x mile
Cross Multiply
x mile × 1.609km = 3.2km × 1 mile
x mile = 3.2km × 1 mile/1.609.
= 1.9888129273 miles
1 mile = 5280 feet
1.9888129273miles = y
Cross Multiply
y = 1.9888129273 × 5280 feet/1 mile
= 10500.932256 feet
Approximately = 10,500.93 feet
Therefore, Tom walks for 10,500.93 feet
10560
Answer:
10,500.93 feet
Step-by-step explanation:
Please help! Geometry.
20b-16
Please help I will mark you
Please help me this question is hard
Answer:
I cant see
Step-by-step explanation:
Answer:
dont have an answer yet...question too small to see...
Step-by-step explanation:
Write an equation in slope-intercept form with the given slope and y-intercept. m = 1 , b = -1
Answer:
y = 1x -1
Step-by-step explanation:
m is your slope which is 1 and -1 is you y intercept
the slope intercept form is y = mx + b
which means the equation will be y = 1x -1
what equation represents the line that passes through (-2,-1) and has a slope of 5
Answer:
y + 1 = 5 (x+2) in point slope form or y = 5 x + 9 in intercept slope form
Step-by-step explanation:
Answer:
y=5x+9
Step-by-step explanation:
Solve the inequality and graph the solution on the line provided.
8r - 9> -17
Pls help me !!!
Answer:
[tex]\boxed { x > -1}[/tex]
Step-by-step explanation:
Solve the following inequality:
[tex]8x - 9 > - 17[/tex]
-Add [tex]9[/tex] to both sides:
[tex]8x - 9 + 9 > -17 + 9[/tex]
[tex]8x > -8[/tex]
-Divide both sides by [tex]8[/tex]:
[tex]\frac{8x}{8} > \frac{-8}{8}[/tex]
[tex]\boxed { x > -1}[/tex]
-The number line (graphed):
Solve the following equation for x: 3x - 4 = 8
x=-2
x=-4
x=2
X=4
Answer:
1. Add 4 to both sides. 3x-4+4=8+4
2. Divide 3 from both sides. 3x/3=12/3
3. Solution. x=4.
Step-by-step explanation:
Directions: Solve the problem Label your final answers. Show all work.
Tickets to the Haunted House are $6.50 for adults and $4.30 for children.
How much would it cost for two adults and four children?
How much change would you get if you pay for the tickets with a $50 bill?
Answer:
The total cost for two adults and four children is $30.2
The change that you would get if you pay for the tickets with a $50 bill is $19.2
Step-by-step explanation:
$6.5 * 2 adults = $13
$4.3 * 4 children = $17.2
$13 + $17.2 = $30.2
$50 - $30.2 = $19.8
Hope this helps and pls do mark me brainliest if you can:)
4x - 1 = 2(2x + 2)
what is the answer?
Answer:
x = undefined
Step-by-step explanation:
Expand brackets
4x - 1 = 4x + 4
Rearrange and make like terms next to each other
4x - 4x = 4 + 1
0x = 5
x = 5/0
when 0 is the denominator the answer is undefined
Answer: from what i calculated there is no solution
Step-by-step explanation:
(−45)(158)(73)(−1)
QUICK
Answer:
If you are multiplying (-45)(158)(73)(-1) your answer is 519,030.
Step-by-step explanation:
5x+8y=6π solve equation for y
The coffee shop also sells small bag of coffee beans. the bags come in two 4/5 kilogram and 7/12 kilogram. How much more coffee does the bigger bag have?
The bigger bag have 13/60 kilogram more coffee.
What is fraction?A fraction is defined as numerical representation for part of a whole which represents a rational number.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
+ Addition operation: Adds values on either side of the operator.
For example 12 + 2 = 14
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
for example 12 -2 = 10
* Multiplication operation: Multiplies values on either side of the operator
For example 12*2 = 24
Given that the bags come in two 4/5 kilogram and 7/12 kilogram
⇒ 4/5
⇒ 7/12
We will first establish that there has a comparable denominator.
Multiply by (12/12) in the fraction 4/5
⇒ 4/5 (12/12)
⇒ 48/60
Multiply by (5/5) in the fraction 7/12
⇒ 7/12 (5/5)
⇒ 35/60
Determine the difference between fractions as :
⇒ 48/60 - 35/60
⇒ 13/60 kilogram
Hence, the bigger bag have 13/60 kilogram more coffee.
Learn more about fraction here:
brainly.com/question/10354322
#SPJ5
Evaluate
p
+
(
−
q
)
−
2
p
Enter the correct value so that each expression is a perfect-square trinomial. x2 + 1/2 x +
Answer: 1/16
Step-by-step explanation:
edge2020
Determine if the function shows a linear relationship or an absolute value relationship. Then evaluate the
function for the indicated value of x.
A. f(x) = |x-31-2; x = -5
B. g(x) = 1.5x; x = 0.2
C. p(x) = 17 - 2x]; x = -3
⚠️⚠️⚠️ I WILL MARK BRAINLIEST ⚠️⚠️⚠️
Please help with 5-8 with working out please thanks , it’s due ASAP
Answer:
I can only help with 5 and 6 which both are A.
Explanation:
that's because Cosine is adjacent to the angle (the angle being 30 degrees and the side next to it is 43mm) divided by the hypotenuse (longest side of a right triangle. The 50 mm). A way you can remember the sin, cosine and tangent is SOH CAH TOA. Sine=opposite over hypotenuse, Cosine = adjacent over hypotenuse, Tangent = opposite over adjacent. For the next one, it is the same principal. X is adjacent to 22 degrees and the other number is the hypotenuse so it has to be Cosine.
A trapezoid has a base of 4.5 inches, a height of 6 inches, and an area of 21 square inches. The equation below can be used to determine b2, the length in inches of the second base of the trapezoid.
12(4.5+b2)(6)=21
Answer:
2.5in
Step-by-step explanation:
Given parameters;
Base = 4.5inches
Height = 6inches
Area = 21in²
Unknown:
b₂ = ?
Solution:
Formula for finding the area of a trapezium;
A = [tex]\frac{1}{2}[/tex][tex](b_{1} + b_{2} )[/tex] x h
Input the parameters and solve for b₂;
21 = [tex]\frac{1}{2}[/tex][tex](4.5+ b_{2} )[/tex] x 6
21 = 3(4.5 + b₂)
21 = 13.5 + 3b₂
21 - 13.5 = 3b₂
b₂ = 2.5in
Evaluate 3{5 + 3[10 + 4.8]}
Answer:
393
Step-by-step explanation:
calculate without using tables the values of
(1+√2)⁴ - (1-√2)⁴
=========================================================
Work Shown:
A = 1+sqrt(2)
B = 1-sqrt(2)
-------------------
Using A and B, let's add and subtract those values
A+B = (1+sqrt(2))+(1-sqrt(2))
A+B = 1+sqrt(2)+1-sqrt(2)
A+B = 1+1+sqrt(2)-sqrt(2)
A+B = 2
and
A-B = (1+sqrt(2))-(1-sqrt(2))
A-B = 1+sqrt(2)-1+sqrt(2)
A-B = 1-1+sqrt(2)+sqrt(2)
A-B = 2sqrt(2)
-------------------
Next, square both sides of the A equation
A^2 = (1+sqrt(2))^2
A^2 = (1+sqrt(2))(1+sqrt(2))
A^2 = 1(1+sqrt(2))+sqrt(2)(1+sqrt(2))
A^2 = 1+sqrt(2)+sqrt(2)+sqrt(2)*sqrt(2)
A^2 = 1+2sqrt(2)+2
A^2 = 3+2sqrt(2)
-------------------
Do the same for B
B^2 = (1-sqrt(2))^2
B^2 = (1-sqrt(2))(1-sqrt(2))
B^2 = 1(1-sqrt(2))-sqrt(2)(1-sqrt(2))
B^2 = 1-sqrt(2)-sqrt(2)-sqrt(2)*(-sqrt(2))
B^2 = 1-2sqrt(2)+2
B^2 = 3-2sqrt(2)
There's a bit of nice symmetry going on with A^2 and B^2, due to A and B having similar symmetric structures themselves.
-------------------
Lets add A^2 to B^2
A^2+B^2 = (3+2sqrt(2)) + (3-2sqrt(2))
A^2+B^2 = 3+2sqrt(2) + 3-2sqrt(2)
A^2+B^2 = 3+3+2sqrt(2)-2sqrt(2)
A^2+B^2 = 6
-------------------
Now onto the final event
We'll use the difference of squares rule twice
Afterward, apply substitution using the previous sections above.
A^4 - B^4 = (A^2)^2 - (B^2)^2
A^4 - B^4 = (A^2-B^2)(A^2+B^2)
A^4 - B^4 = (A-B)(A+B)(A^2+B^2)
A^4 - B^4 = (2sqrt(2))(2)(6)
A^4 - B^4 = 2*6*2*sqrt(2)
A^4 - B^4 = 24*sqrt(2)
(1+sqrt(2))^4 - (1-sqrt(2))^4 = 24*sqrt(2)
-------------------
To check this with your calculator, you can type in the following
(1+sqrt(2))^4 - (1-sqrt(2))^4 - 24*sqrt(2)
The result you should get should be 0, or very close to it
I'm using the property that if x = y, then x-y = 0.
In the image above, what do the red arrows on lines mean?
HELP!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
1. 30
2. 0.83333333
3. 1.2
4. 30
Step-by-step explanation:
H is the only reasinable decimal
ASAP ASAP ASAP
HELP ME PLEASE
Answer:
D i'm pretty sure
Step-by-step explanation:
Answer: $2.19
Step-by-step explanation: you have to find the surface area. Add 10*7*2 and 7*1.25*2 and 1.25*10*2 and then multiply by 0.012! Then you can get your answer. (17.5 + 140 + 25)*0.012. I think this is right. Sorry if itś not.