Answer:
(a+b)(a-b)-19
Step-by-step explanation:
a²-b²
=a²-ab+ab-b²
=a(a-b)+b(a-b)
=(a+b)(a-b)
it'll be more easy to understand if u try solving it the other way(from bottom to the top)
there fore... a²-b²=(a+b)(a-b)
and -20+1=-19
so then the ans will be(a+b)(a-b)-19
What is the solution of the following one-step equation?
10. X + 5 = 10
a. X = -15 c. X = 5 b. X = 15 d. x = -5
Answer:
x = 5
Step-by-step explanation:
Given
x + 5 = 10 ( isolate x by subtracting 5 from both sides )
x = 5
The sum of five consecutive integers is five. What is the product of the five integers?
Answer:Let n = the smallest integer
Then the other integers are n+1, n+2, n+3 and n+4
Sum = n + n+1 + n+2 + n+3 + n+4 = 5n + 10 = 5(n + 2)
So the sum is always divisible by 5, for any value of n
Step-by-step explanation:
what is 5 ÷ ⅔ I really need help guys
Answer:the answer is 7.5 if you need to round it up it’ll be 8 if you need it as a fraction it’ll be 7 1/2
Step-by-step explanation:
add 3 on both sides
divide 5 on both sides
x=2
8x^2+5=22x Need help learning factoring please put work so I can understand
Answer: (2x - 5) • (4x - 1)
STEP 1 : Equation at the end of step 1
(23x2 - 22x) + 5
STEP 2 : Trying to factor by splitting the middle term
2.1 Factoring 8x2-22x+5
The first term is, 8x2 its coefficient is 8 .
The middle term is, -22x its coefficient is -22 .
The last term, "the constant", is +5
Step-1 : Multiply the coefficient of the first term by the constant 8 • 5 = 40
Step-2 : Find two factors of 40 whose sum equals the coefficient of the middle term, which is -22 .
-40 + -1 = -41
-20 + -2 = -22 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -20 and -2
8x2 - 20x - 2x - 5
Step-4 : Add up the first 2 terms, pulling out like factors :
4x • (2x-5)
Add up the last 2 terms, pulling out common factors :
1 • (2x-5)
Step-5 : Add up the four terms of step 4 :
(4x-1) • (2x-5)
Which is the desired factorization
Final result : (2x - 5) • (4x - 1)
Find the value of x. If someone could help me, please
Answer:
8 x = 17
9 x = 36
10 x = 10
Step-by-step explanation:
8
(6x + 5) + (4x+5) = 180
6x + 4x = 180 - 5 - 5
10x = 170
x = 170/10
x = 17
9
2x + 1 = 73
2x = 73 - 1
2x = 72
x = 72/2
x = 36
10
(3x+7) + 53 = 90
3x = 90 - 53 - 7
3x = 90 - 60
3x = 30
x = 30/3
x = 10
Answer:
8) i have no clue
9) x=36
10) x=10
Step-by-step explanation:
9) 73-1=72
72/2=36
x=36
10) 3x+7
90-53=37
37-7=30
30/3
x=10
Find the value of x for which the lines p and q are parallel.
Answer:
Do you have a picture of the problem, please?
Step-by-step explanation:
Only then, can I edit this and provide an accurate answer! ;D
Answer:
x=7
Step-by-step explanation:
x=7
Simplify 4 over quantity 2 plus 7 i
Answer:
(8-28i)/53
hope it helps!
Step-by-step explanation:
4(2x – 8) = 3(2 – Зх)
Write an equation in point-slope form of the line that passes through the point (-8,
2) and has a slope of m = 5.
Answer:
y-2=5(x--8)
Step-by-step explanation:
Formula for point slope form equation: y-y1 = m(x – x1)
After that just plug in the given numbers
g(x)= 2x-4
f(x)= -3x-4
Find (g • f)(x)
Answer:
Step-by-step explanation:
(2x - 4)(-3x -4)
-6x^2 - 8x + 12x + 16
-6x^2 + 4x + 16
given a right-angled triangle with perimeter 18. The sum of the squares of the three side lengths is 128. What is the area of the triangle ?
Answer:
9units²
Step-by-step explanation:
A triangle has 3 sides. Let the length of the three sides be a, b, c.
If the perimeter of the triangle is 18, then;
P = a+b+c
a+b+c = 18... 1
If the sum of the squares of the three side lengths is 128, this means;
a²+b²+c² = 128... 2
Since the triangle is also right angled, according to Pythagoras theorem;
c² = a²+b²... 3 (taking c as the hypotenuse)
Substitute equation 3 into 2;
(a²+b²)+c² = 128
c²+c² = 128
2c² = 128
c² = 128/2
c² = 64
c = √64
c = 8
Substituting c = 8 into 1
a+b+c = 18
a+b+8=18
a+b = 10 ...... 3
Substituting c = 8 into 2
a²+b²+c² = 128
a²+b²+8² = 128
a²+b²+64 = 128
a²+b²= 64..... 4
Solve equation 3 and 4 simultaneously;
a+b = 10
a²+b²= 64
From 4; a = 10-b
Substitute a = 10-b into 4;
(10-b)²+b² = 64
100-20b+b²+b² = 64
2b²-20b+100-64 = 0
2b²-20b+36 = 0
Divide through by 2:
b²-10b+18 = 0
b = 10±√10²-4(18)/2
b = 10±√100-72/2
b =( 10±√28)/2
b =(10±√4×7)/2
b = (10±2√7)/2
b = 5±√7
Hence b = 5+√7
If a+ b = 10
a+(5+√7 ) = 10
a = 10-(5+√7)
a = 10-5-√7
a = 5-√7
Area of the triangle A = 1/2 ab
A = 1/2 × (5+√7) × (5-√7)
A = 1/2 × (25-5√7+5√7-7)
A = 1/2 × (25-7)
A = 1/2 × 18
A = 9
Hence the are of the triangle is 9units²
How to solve 2m - 3 = 13
Answer:
m=8
Step-by-step explanation:
Answer: m=8
Step-by-step explanation:
2m-3=13
Add 3 to -3 and 13 to cancel the number without a variable
-3+3=0 13+3=16
2m=16
Divide 2 on each side
2/2=0 16/2=8
M=8
Evaluate f(x) = x2 + 3x − 4 when x = 4:
Answer:
f(x)=24
Step-by-step explanation:
Replace x in the function with the value 4.
f(4)= (4)^2 + 3(4) - 4
16 + 12 -4
28 - 4
F(x)= 24
Consider M, N, and P. collinear points on MP. What is the difference between the ratio MN:NP and the ratio MN: MP? PLEASE HELPPPPPPP
Answer:
The amount between each. Since you didn't attachment any further information like the amount of M, N, and P or a graph chart- I'll only be able to give an example.
Let's say M is equal to 3, N is equal to 1, and P is equal to 2. All together these spaces add up to 6 which can be evenly space out or distributed unevenly.
Like M:N= 3:1 or N:P = 1:2. As you can tell all together (all you have to do is add 3&1 or 1&2) you'll get the result of 4 or 3 and they aren't similar. Let me know if this helps! I know sometimes seeing technically terms and numbers can be difficult so I tried to explain with words as best I could. Good luck to you.
Solve the equation below. -1/5x-18=2
The perimeter of the equilateral triangle shown is 67.5 inches. Write and solve an equation to find the value of x.
Answer:
The answer is 14. Not -14.
Step-by-step explanation:
The value of x for the given triangle will be 14.
What is an expression?The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
Given that the perimeter of the equilateral triangle shown is 67.5 inches. One side of the triangle is 1.75x - 2.
Perimeter = 3 ( 1.75x - 2 )
67.5 = 5.25x -6
x = ( 73.5 / 5.25 )
x = 14
Therefore, the value of x for the given triangle will be 14.
To know more about an expression follow
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Chloe wants to divide 600 jellybeans into equal groups. She wants each group to have more than 10 jellybeans, but less than 100. What are three possible groupings Chloe can make?
Answer:
8 groups of 75, 10 groups of 60, 12 groups of 50.
Step-by-step explanation:
600/12=50
600/10=60
600/8=75
The possible groupings are:
50 groups with 12 jellybeans each.
40 groups with 15 jellybeans each.
30 groups with 20 jellybeans each.
24 groups with 25 jellybeans each.
12 groups with 50 jellybeans each.
10 groups with 60 jellybeans each.
8 groups with 75 jellybeans each.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Chloe wants to divide 600 jellybeans into equal groups. She wants each group to have more than 10 jellybeans, but less than 100.
This means,
we need to find three numbers between 10 and 100 that are a factor of 600.
We can have,
12, 15, 20, 25, 50, 60, 75
We can have,
50 groups with 12 jellybeans each.
40 groups with 15 jellybeans each.
30 groups with 20 jellybeans each.
24 groups with 25 jellybeans each.
12 groups with 50 jellybeans each.
10 groups with 60 jellybeans each.
8 groups with 75 jellybeans each.
These are the possible grouping we can have,
We can choose any three groupings.
Thus,
The possible groupings are:
50 groups with 12 jellybeans each.
40 groups with 15 jellybeans each.
30 groups with 20 jellybeans each.
24 groups with 25 jellybeans each.
12 groups with 50 jellybeans each.
10 groups with 60 jellybeans each.
8 groups with 75 jellybeans each.
Learn more about expressions here:
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5). 3x + y = 13
5x - 2y =7
Simultaneous linear equation
Answer:
Step-by-step explanation:
6x + 2y = 26
5x - 2y = 7
11x = 33
x = 3
3(3) + y = 13
9 + y = 13
y = 4
(3,4)
A mathematical sentence without an equal sign. pick from one of these: Absolute Value Distributive Property Equation Evaluate Equivalent Simplify Expression Integers Like Terms Inequality Reciprocal Coefficient Variable Solution Ratio
Answer:
expression
Step-by-step explanation:
hope this helps
HELP ME PLZZ I DONT UNDERSTAND THIS!!!!!!
Answer:
1/2
Step-by-step explanation:
y = kx
where k is the constant of proportionality
y = 1/2 x so k= 1/2
Rewrite the function y=3x+8
Answer:
3x-y= -8
Step-by-step explanation:
i believe this answer is correct
Eric's cell phone service costs $40.00 a month for unlimited calls. He also pays $0.02 for each text message he sends.
Which equation represents the total cost, C. in dollars, for a month when Eric sends text messages?
O A C = 40.021
O B C = 40 -0.021
OC C = 0.021 - 40
OD. C = 0.021 + 40
Answer:
A. 40.021
Step-by-step explanation:
Unlimited calls = $40
Text message = $0.021
NOTE:There is a difference between the value you gave for cost of text messages in the question and the values given in the group of answers. I will use $0.021 for cost of text messages since it is common to all answer choices.
Total cost = Cost of unlimited calls + cost of text messages
C = $40 + $0.021
= $40.021
Therefore, the equation which represent the total cost in dollars for a month is 40.021
A. 40.021
Answer:
he is right^ A.
Step-by-step explanation:
which expressions are equivalent to 2? Choose ALL that apply. 6 6 6 6 6 6 2.2.2.2.2.2 2.6 4.16 12 - 12 8.8
Answer:
2,4,6,8,12,16
Because it is 2 times 3 equals 6
2 times 1 equals 2
2 times 2 equals 4
2 times 8 equals 16
2 times 3 equals 6
2 times 4 equals 8
2 times 6 equals 12
and they are all a factor of 2
Solve the system of equations.
5x – 7y = 58
y = -x + 2
5x-7y=58
y=-x+2
5x-7(-x+2)=585x+7x-14=5812x-14=5812x=58+1412x=72x=65x-7y=58
5(6)-7y=58
30-7y=58
-7y=58-30
-7y=28
y= -4
Answer:
x = 6, y = -4
Step-by-step explanation:
Khan Academy
Using a spinner, conduct an experiment to compare experimental probability with theoretical probability.
The probability of an event is a number from 0 to 1 that measures the chance that an event will occur. In this lesson, we will look into experimental probability and theoretical probability.
The following table highlights the difference between Experimental Probability and Theoretical Probability. Scroll down the page for more examples and solutions.
he following table highlights the difference between Experimental Probability and Theoretical Probability. Scroll down the page for more examples and solutions.
Experimental vs Theoretical Probability
How to find the Experimental Probability of an event?
Step 1: Conduct an experiment and record the number of times the event occurs and the number of times the activity is performed.
Step 2: Divide the two numbers to obtain the Experimental Probability
How to find the Theoretical Probability of an event?
The Theoretical Probability of an event is the number of ways the event can occur (favorable outcomes) divided by the number of total outcomes.
Austen's graduation picnic costs $2 for every attendee. Write an equation that shows the relationship between the attendees x and the cost y.
Answer:
y=2x
Step-by-step explanation:
x = attendees
y = total of cost for attendees
we know each attendee cost $2 but we don't know how many attendee are there in order to find the total cost y.
if f(x) = 2x+4 find the values of x so that f(x)=24
24 = 2x + 4
2x = 20
x = 10
.......................
A line segment has the endpoints U(4,8) and V(4, 6). Find the coordinates of its midpoint M.
Write the coordinates as decimals or intogor
Answer:
Step-by-step explanation:
(4 + 4)/2 = 8/2= 4
(8 + 6)/2= 14/2= 7
(4, 7) the midpoint
M is between L and N. If LN = 91 and LM = 23, find MN.
Answer:
MN = 68
Step-by-step explanation:
LN = 91
LM = 23
Points L, M, and N are collinear, therefore, according to the segment addition postulate, the following can be deduced:
LM + MN = LN
23 + MN = 91 (Substitution)
Subtract 23 from both sides
23 + MN - 23 = 91 - 23
MN = 68