Answer:
What do you mean by combining terms?
If you have an equation like y=3(2+x), then you would need to substitute for x before you combined the terms "2" and "x"
Prove that the sum of the squares of the lengths of the medians of a triangle is three fourths the sum of the squares of the lengths of the sides.
Answer:
3[|AB|² + |BC|² + |AC|²] = 4[|AD|² + |BE|² + |CF|²]
Step-by-step explanation:
I've attached an image showing a triangle divided into it's medians.
Now, from the attached image, we see that AB, BC & CD are the lengths of sides of triangle while AD, BE & CF are lengths of the 3 medians of the triangle.
Now, to prove our question, we will use appolonius theorem which states that "the sum of the squares of any of the two sides of a triangle is equal to twice the square on half the third side including twice the square on the median that bisects the third side.
Applying this theorem to the image attached, we have the following;
|AB|² + |AC|² = 2[|AD|² + |BC/2|²]
|AB|² + |BC|² = 2[|BE|² + |AC/2|²]
|AC|² + |BC|² = 2[|CF|² + |AB/2|²]
Adding the 3 equations above gives us;
2|AB|² + 2|BC|² + 2|AC|² = 2|AD|² + |BC|²/2 + 2|BE|² + |AC|²/2 + 2|CF|² + |AB|²/2
Collecting like terms;
(2|AB|² - |AB|²/2) + (2|BC|² - |BC|²/2) + (2|AC|² - |AC|²/2) = 2|AD|² + 2|BE|² + 2|CF|²
Thus gives;
(3/2)[|AB|² + |BC|² + |AC|²] = 2[|AD|² + |BE|² + |CF|²]
Multiply both sides by 2 to give;
3[|AB|² + |BC|² + |AC|²] = 4[|AD|² + |BE|² + |CF|²]
The figure in this imagen was reflecting
Answer:
(a); (b); (d)
Step-by-step explanation:
ΔGHK ≅ ΔMNP
(a). GH = MN
(b). KH = PN
(d). ∠G ≅ ∠ M
5
Subtract 27 from 43
14
21
Answer:
-0.4522
Step-by-step explanation:
X
x
60°
у
60°
y = [ ? 1°
Answer:
90
Step-by-step explanation:
Because angles opposite congruent angles in a triangle are congruent, the triangle is isosceles.
The altitude drawn from the vertex angle of an isosceles triangle is the perpendicular bisector to the side it is drawn.
So, y=90.
the quotient of a number y and -3.6 is less than 6.5. What is the inequality
y/-3.6 < 6.5 becomes -y/3.6 < 6.5
Answer: -y/3.6 < 6.5
What is the x-value in the solution to this system of linear equations?
2x - y = 11
x + 3y = -5
-3
-1
2
4
Answer:
anwer is 4 i m not sure
of i m right plz give me the brainliest
1/10 of ____is ten times as much as 500
Answer:
5000, i think, im not sure
Step-by-step explanation:
Answer:
50000
Step-by-step explanation:
.1 x X = 500 (10)
.1 x 50000 = 500 (10)
The product of two integers is -21. The difference between the integers is -10. The sum of the two integers is 4. What are the two integers.
The value of two integers are -3 and 7.
Here,
Given that;
The product of two integers is -21.
The difference between the integers is -10.
The sum of the two integers is 4.
We have to find the value of two integers.
What is integers?
An integers is a whole number (not a fractional number) that can be positive, negative, or zero.
Now,
Let two numbers are x and y.
Then, The product of two integers is -21.
x * y = -21 ..... (i)
The difference between the integers is -10.
x - y = -10 ..... (ii)
The sum of the two integers is 4.
x + y = 4 .....(iii)
Add equation (ii) and (iii), we get;
x - y + x + y = -10 + 4
2x = -6
x = -3
And,
x + y = 4
-3 + y = 4
y = 7
Hence the two integers x and y are -3 and 7.
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You can buy 12 donuts for $9.60. What is the price for 1 donut?
Answer:
0.80 cents
Step-by-step explanation:
I divided 9.60 by 12.
To find the answer, just divide the amount of donuts to the price.
9.60 / 12 = 0.80
So, each donut costs .80 cents.
GUYS HALP MEH WITH MATH!!!
Answer:
i think -575
Step-by-step explanation:
Pat bounces a basketball 25 times in 30 seconds. At that rate, approximately how many times will Pat bounce the ball in 150 seconds?
Consider this expression.
Find the values for a, b, and c that make this expression equivalent to the given expression below.
a =
b =
c =
Answer:
a= 7
b= 2
c= -4
Step-by-step explanation:
An expression is defined as a set of numbers, variables, and mathematical operations. The value of a, b, and c is 7, 2, -and 4, respectively.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The sum of the above two expressions can be done as,
[tex]\dfrac{3x}{x+2} + \dfrac{4x}{x-2}\\\\= \dfrac{3x(x+2)+4x(x-2)}{(x+2)(x-2)}\\\\= \dfrac{7x^2+2x}{x^2-4}[/tex]
Comparing the given expression [tex]\dfrac{ax^2+bx}{x^2-c}[/tex] with [tex]\dfrac{7x^2+2x}{x^2-4}[/tex].
Hence, the value of a, b, and c is 7, 2, -and 4, respectively.
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A gym employee is paid monthly. After working for three months, he had earned $4,500. To determine how much money he will make over a six-month period'he created the table below
1. if he continues to earn at the same rate how much will he have working 5 months?
2. After how many months will the gym employee have made $19,500?
3. write an equation to represent the constant of proportionality
Answer:
$9000
Step-by-step explanation:
A gym employee has earned in 3 months =$4500
Then his monthly salary =$4500/3 =$1500
After six months he will earn = 6 × his monthly salary
= 6×$1500=$9000
The area of a rectangular parking lot is 4947 m2.
If the length of the parking lot is 97 m, what is its width?
Width of the parking lot:
The perimeter of a rectangular pool is 304 m.
If the width of the pool is 68 m, what is its length?
Length of the pool:
Answer:
1. width = 51 m
2. length = 84 m
Step-by-step explanation:
So remember, the area is (length * width).
It is given that the length is 97, and the area is 4947.
So plug this into a formula:
length * width = area
97 * width = 4947
Solve using inverse operations;
97 * width = 4947
/97 /97
width = 51m
The perimeter of a rectangle can be found by doing, (2 * (length + width)).
The width is given, it is 68m. The perimeter is also given, 304m. So just form an equation using this information:
2 * ( length + width) = perimeter
2 * (length + 68 ) = 304
Distribute;
2 * ( length + 68) = 304
2 length + 136 = 304
Inverse operations;
2length + 136 = 304
-136 -136
2length = 168
/2 /2
length = 84m
Answer:
The answer for number 1 is width = 51 m
The answer for number 2 is length = 84 m
Step-by-step explanation:
Estimate a 15% tip on a dinner bill of $89.61 by first rounding the bill amount to the nearest ten dollars.
will give brainly
Answer:
$13??
Rounded to 10
Step-by-step explanation:
- 1/2+( 3/4 `x 4/9)=
Answer:
X (squared 4) - 6/12
Step-by-step explanation:
Olivia is making scarves each scarf will have 5 rectangles and 2/5 of the rectangles will be purple how many purple rectangles does she need for 3 scarves
Answer:
Out of every 5 rectangles 2 shall be purple.
3 scarves have 3 times 5 rectangles.
Thus they shall be 3 times 2 that are purple.
Step-by-step explanation:
What fraction is larger 3/8 or 10/24?
Answer:
10/24
Step-by-step explanation:
hope this helps :)
Answer:
5/8
Step-by-step explanation:
Have a good day! :)
Ryan has $40 and then spends $40 dollars.
A Yes, the situation represents additive inverses.
B No, the situation does not represent additive inverses.
Answer:
Step-by-step explanation:
Answer: B
Step-by-step explanation:
What you add to a number to get zero.
The negative of a number.
Example:
The additive inverse of −5 is +5, because −5 + 5 = 0
The additive inverse of +5 is −5, because +5 − 5 = 0
In the game of roulette, there is a wheel with spaces marked 0 through 36 and a space marked 00. Find the probability of winning if you pick the number 30 and it comes up on the wheel. Round your answer to 3 decimal places. Answer:
Answer:
Step-by-step explanation:
Total out come is 38
Favorable outcome is 1
Probability is 1/38 ≈ 0.026
The probability of winning if you pick the number 30, and it comes up on the wheel, will be 0.026.
What is probability?Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
In the game of roulette, there is a wheel with spaces marked 0 through 36 and a space marked 00.
Then the total number of the event will be
Total event = 38 {0, 00, 1, 2, …, 36}
Then the probability of winning if you pick the number 30, and it comes up on the wheel will be
Favorable event = 1 {30}
Then the probability will be
P = 1 / 38
P = 0.026
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Stacy wants oil for the cake pops and cupcakes for her birthday party. She needs 1/2 of a cup of vegetable oil for the cake pops and 1.5 times as much oil for the cupcakes. If Stacy has 2 1/2 cups of vegetable oil, how much will she have left over after she makes the cake pops and cupcakes
Answer:
1 1/4
Step-by-step
The oil left over after she makes the cake pops and cupcakes is 1.25 cups.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, Stacy wants oil for the cake pops and cupcakes for her birthday party.
She needs 1/2=0.5 of a cup of vegetable oil for the cake pops and 1.5 times as much oil for the cupcakes.
So, oil required to make cupcakes is 1.5 ×1/2
= 1.5/2
= 0.75
Stacy has [tex]2\frac{1}{2}[/tex] =2.5 cups of vegetable oil
Total vegetable oil used =0.75+0.5
= 1.25 cups
Oil left over is 2.5-1.25=1.25
Therefore, the oil left over after she makes the cake pops and cupcakes is 1.25 cups.
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this question is confusing
Answer:
24.8 miles
Step-by-step explanation:
Mack lives 40km from Sed
The question wants you to convert 40km into miles
40 x 0.62 = 24.8
Answer:
im thinking its 24.8 miles because you multiply 40 by .62
Step-by-step explanation:
double question for 18 points
Answer: they distribute 38 samples per hour
if x equals sample it would be 38x per hour
Step-by-step explanation:
the second would be 36 per hour also
Answer:
38 samples per hour
if x equals sample it would be 38x per hour
Step-by-step explanation:
the second would be 36 per hour also
Step-by-step explanation:
Question 2 (1 point)
Divide using any method.
(2x3 + 5x2 – x + 7)
(x - 2)
Answer:
2x^2+9x+17+41/x-2
Step-by-step explanation:
give brainliest pls
Teresa plans to attend college in 3 years. She will need $13,600 for the first-year cost. Her uncle gave her a special gift of $10,000 to use toward the cost. How much must Teresa save each month to have enough for the first-year cost?
Answer:
100$ per month
Step-by-step explanation:
2 dogs/3 Cats and 10 dogs/15 cats are an example of
A. Complex Fraction
B. Equivalent Fraction
C. Rate
D. Ratio
Answer:
I think its B. Equivalent Fraction
2 3/9+3/7
fraction please answer fast
Answer:
2 16/21
Step-by-step explanation:
Aicha has 36 dress. She completes 1/2 of the dresses in 3/4 of an hour.If she continues at this rate what fraction of the dresses will she complete in one hour?
Answer:
2/3
Step-by-step explanation:
1/2 dresses = 36x1/2 = 18
18 dresses in 3/4 hr. ==> 1/4hr ==> 18/3 = 6
1hr ==> 6x4 = 24
fraction = 24/36 = 2/3
HELPPPPPPPPP!!!
What is z/
W
0-4 + 16i
O 6 + 10i
O 7+11i
O 8+2i
The value of z/w is, (8 + 2i)
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The graph is shown in figure.
And, The point z = (6 + 10i)
The point w = (1 + i)
Now,
We can find the value of z/w is,
⇒ z/w = (6 + 10i) / (1 + i)
= (6 + 10i) (1 - i) / (1 + i) (1 - i)
= (6 - 6i + 10i - 10i²) / (1 - i²)
= (6 + 4i + 10) / (1 + 1)
= (4i + 16) / 2
= (8 + 2i)
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(03.01)
The domain of the following relation R {(3,-2), (1, 2), (-1,-4), (-1, 2)} is
The domain is set of x-value.
Therefore, the domain of the relation Domain of R = {3,1,-1}
