if a+b+c=0, prove that a^2 - b^2 - c^2 = 2bc
Answers
Step-by-step explanation:
a+b+c=0b+c=(-a) (SQUARING both the sides)(b+c)²=(-a)²(b²+c²+2bc)=a²2bc=a²-b²-c²HENCE PROVED
a²-b²-c²=2bc
Step-by-step explanation:
........ ............... .......
Related Questions
Tell whether the ordered pair is a solution to the equation.
x=9;(9,6)
Answers
Answer:
yes, it is
Step-by-step explanation:
The value of x in the ordered pair (x, y) = (9, 6) is 9. That satisfies the equation ...
x = 9
Substituting 9 for x, we get a true statement:
9 = 9
Answer:
Step-by-step explanation:
Find the area of a trapezoid h= 4 b1= 1 1/2 b2 = 3 1/2
Answers
Answer:
10
Step-by-step explanation:
if
a= base 1 (1.5)
b= base 2 (3.5)
h= height (4)
[tex]A=\frac{a+b}{2}h=\frac{1.5+3.5}{2} 4[/tex]
15 points in 4 quarters
Answers
Is this u asking a question or just saying 15 points in 4 quarters?
PLZ HELP 100 POINTS AND BRAINLIEST PLZ HELP
Answers
Answer:
Step-by-step explanation:
number 6. (1-2+3) - 4 + 5 = 3
Number 7. (1+2) +( 3+4 ) - 5 = 5
number 8. (1+2+3) - 4(5) = 10
5: (1+2)3 - 4 / 5 = 1
Answer:
5 --- 1 + 2 - 3 - 4 + 5 = 1
6 --- 1 - 2 + 3 - 4 + 5 = 3
7 --- [1 + (2 x 3 x 4)] / 5 = 5
8 --- [1 + 2 + (3 x 4)] - 5 = 10
Step-by-step explanation:
I didn't know if you needed brackets/parenthesis for the first two, that's just what I came up with
HELPPP MEE PLEASEE I NEED HELP RIGHT NOWW !
Answers
Hi there!
Recall the formula for the area of a parallelogram:
A = b × h
b = base (mm)
h = height (mm)
Rearrange the equation to solve for the height:
A = bh
A/b = h
Plug in given values:
26.4/6 = 4.4 mm
your friend has owned a dog for 9 year this is one year less than as
Answers
you just answered your own question
2. Write an equation of the parabola with vertex (3, 1) and focus
(3, 5)
Answers
Answer:
2. Write an equation of the parabola with vertex (3, 1) and focus
(3, 5o3
What is the interest on $600 when it is placed for four years in a bank account that gives 2% simple interest
Answers
Answer:
12, or if its yearly, 48.
will give brainliest Select the correct locations on the graph.
Select the lines that represent functions.
Answers
IF 15 CHOCOLATE COST 10 RUPEES THEN HOW MUCH DOES 1 CHOCOLATE COSTS.
Answers
Answer:
2/3 Rupees
Step-by-step explanation:
Lets say Chocolate is C and a rupee is R.
Then, 15C = 10R. We can simplify to 3C = 2R. Now we divide both sides by Three to get C = 2/3R, which means a chocolate is 2/3 of a rupee!
Use the parabola tool to graph the quadratic function f(x) = x2 – 12x + 27.
Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.
+ Move
Parabola
Undo
Redo
Rese
10
9
8
7
6
5
D
2
3
2
1
Answers
Answer:
7
Step-by-step explanation:
you would chose 7 because it has more and less value
Help help help help help math
Answers
Answer:
75
Step-by-step explanation:
A = π r^2
A = Area of the circle which is in this question unknown
r = radius of the circle (which is the length of straight line from the center of the circle to any point on the circumference of the circle) and in this question is equal to 5 in
π = irrational number equal to 3.14159... but here you have told to use it as 3
A = π r^2
*plot the information we have get( r = 5 in and π = 3 ) in the equation above
A = (3)(5)^2
A = (3) (25)
A = 75 in^2
Solve the system of linear equations by substitution: (SHOW UR WORK)
y=5x-6
y=4x-2
Answers
Answer:
x = 4
y = 2
Step-by-step explanation:
1) y = 5x - 6
2) y = 4x - 2
sub 1 into 2
5x - 6 = 4x - 2
5x - 4x = 6 - 2
x = 4 ---> (3)
sub 3 into 2
y = (4 * 1) - 2
y = 4 - 2
y = 2
Answer:
4
Step-by-step explanation:
Since they both equal y, they are both equivinlent
[tex]5x-6=4x-2[/tex]
[tex]5x=4x+4[/tex]
[tex]x=4[/tex]
CHECK
[tex]20-6=16-2[/tex]
[tex]14=14[/tex]
Solve the system of equations.
2x-y =7
1x-y = 10
Answers
Answer:
(-3, -7)
Step-by-step explanation:
2x - y = 7 multiply by -1 ⇔ -2x + y = -7
1x - y = 10 Do not change ⇔ 1x - y = 10
-x = 3
x = -3
Use the second equation to solve on y when x = -3
-1x - y = 10
-1(-3) - y = 10
3 - y = 10
-y = 10 - 3
-y = 7
y = -7 Solution: (-3, -7)
Find the inverse function.
f(x) = -3x +1/2
f-1(x) =
Answers
Answer:
f^-1(x)= -x/3 +1/6
Step-by-step explanation:
So its negative x over 3, plus, 1 over 6
The graph of the function has slope of 1 and y-intercept of -6.
Answers
Answer:
= -5
Step-by-step explanation:
1-6=5
1-6
{Subtract the numbers:} 1-6=-5
= -5
the function f(x) = log 0.5 is decreasing.
true or false?
Answers
what is 1 over 5 divided by 6?
Answers
Answer:
[tex] \frac{1}{5} \div 6 = \frac{1}{5} \times \frac{1}{6} = \frac{1}{30} [/tex]
What is 3/7 + 4/18 estimated
Answers
Answer:
41/63
Step-by-step explanation:
41/63 can't be simplified
Answer:
3/7+4/18=41/63
Step-by-step explanation:
3/7=3x18/7x18=53/126
4/18=4x7/18x7=28/126
54/126+28)126=54+28/126=82/126
82/126
simplify
41/63
One student claims that 25% is equivalent to 1/4%. Is that correct? Why or why not?
Answers
Answer:
ya
Step-by-step explanation:
25 percent is equally to 25 over 100 which is 1over4
Which expression are equivalent to 3/5x + 3
2/5x + 1/5x
4/5x - 1/5x + 3
2/5x + 3 3/5x -1
1 + 3/5x + 2
1 +x/5 + 2
1 + 2/5x +3
Answers
Answer:
1 + 3/5x + 2
the first expression = eighteen and 1 + 3/5x + 2 is the only other expression that = eighteen. Hope this helps and good luck!!
Step-by-step explanation:
. If there are 20 girls in a class of 30 students, find out the percentage of boys in the class?
Answers
If there are 20 girls in a class of 30 students, find out the percentage of boys in the class?
✍ Answer:>> If the class has 30 students and 20 girls then;
Boys = (30 - 20 = 10)>> Therefore;
Percentage that are boys = (no.of boys/total students) x 10010/30 * 100 = 33.3%#CarryOnLearning
- Happy Holidays -
The percentage of boys in the class is 33.3%
If the class has 30 students and 20 girls then;
Boys = (30 - 20 = 10)
Percentage that are boys = (no.of boys/total students) x 100
10/30 * 100 = 33.3%
What's percent in math?The percentage is a relative fee indicating the hundredth component of any amount. One percentage (symbolized 1%) is one centesimal part; as a result, 100 percent represents everything and 2 hundred percent specifies twice the given amount. percentage. associated subjects: mathematics percentile.
Multiply the number by means of 100. If you are required to convert a decimal number like 0.57 to a %, you simply multiply it through one hundred. that is 0.57 x 100 = 57. therefore, 0.57 as a percent equals 57%.
Learn more about percentages here: https://brainly.com/question/843074
#SPJ2
Solve the system of equations -6x+5y=0 and −5x+5y=−5 by combining the equations.
Answers
Answer:
Step-by-step explanation:
-6x+5y=0 and −5x+5y=−5
Subtract the second from the first:
-6x+5y=0
5x-5y= 5
-x = 5
x = -5
Suppose you have a box with 3 blue marbles, 2 red marbles, and 4 yellow marbles. You are going to pull out one marble, record its color, remove it from the box and draw another marble. What is the probability of pulling out a red marble followed by a blue marble? The multiplication rule says to use P(red) P(blue).
Question: Describe the process of finding the probability of finding a red marble followed by a blue marble if the first marble was permanently removed?
Answers
Answer:
that is dependent event when you are taking out first marble permanently
I bad at math :/ plz help
Answers
Answer:
i think its b
Answer:
B. (x³-10)(x⁶+10x³+100)
Step-by-step explanation:
x⁹-1000
(x³)³-10³
so now always remember
x³-y³=(x-y)(x²+xy+y²)
so for this question x= x³ and y=10
we now have
(x³-10)((x³)²+10x³+10²)
(x³-10)(x⁶+10x³+100)
Asha bought 60 fruit baskets. 25% of the fruit baskets have 12 pieces of fruit in each basket. The remaining 75% of the baskets have 15 pieces of fruits in each basket. Complete the model.
Answers
Answer:
Number of baskets with 12 pieces of fruit: 15
Number of baskets with 15 pieces of fruit: 45
Step-by-step explanation:
25% x 60 = 0.25 x 60 = 15
75% x 60 = 0.75 x 60 = 45
The complete model for the given question is;
Number of fruit baskets that contain 12 fruits = 15 baskets
Number of fruit baskets that contain 15 fruits = 45 baskets
We are told that he bought 60 fruit baskets.
Percentage of the fruit baskets that have 12 pieces of fruit = 25%
Percentage of the fruit baskets that have 15 pieces of fruit = 75%
Thus;
Number of fruit baskets that contain 12 pieces of fruit = 25% × 60 = 15 baskets
Number of fruit baskets that contain 15 pieces of fruit = 75% × 60 = 45 baskets
Read more about percentages at; https://brainly.com/question/11865045
Which variable is most important to the following problem?
A tentmaker has 60,000 tents in stock. The Army decides to order 350 tents
for each of its 200 brigades. Will the tentmaker have enough tents in stock?
O A. the price of one tent
O B. the number of tents the Army orders
C. the size of each tent
Answers
Answer:
B.) the number of tents the army orders
Step-by-step explanation:
The word problem does not speak of any prices or tent sizes so it cant be A or C
Answer:
its B
Step-by-step explanation:
Which table represents a linear function?
Answers
Answer:
First Graph (1-5 2-10)
Step-by-step explanation:
10÷2=5
3÷15=5
4÷20=5
5÷25=5
(-3, 5), (-4, 5) what is the slope
Answers
Answer:
0
Step-by-step explanation:
(5-5)/(-4+3) = 0/-1 = 0
Given that D, E, and F are the midpoints of their respective sides, and AC = 24, what’s the length of DE¯¯¯¯¯¯¯¯?
An image of a triangle ABC. The midpoint of AB is labeled D, the midpoint of AC is labeled F, and the midpoint of BC is labeled E. Midsegments DE, EF, and FD are drawn. AC is labeled 24.
Question options:
2 units
6 units
12 units
4 units
Answers
Answer:
DE = 12
Step-by-step explanation:
Consider Δ ABC
A segment joining the midpoints of 2 sides of a triangle is half the length of the third side.
D and E are the midpoints of 2 sides of the triangle, then
DE = [tex]\frac{1}{2}[/tex] AC = [tex]\frac{1}{2}[/tex] × 24 = 12