Answer:
B (√a*x+√c)^2=0
Step-by-step explanation:
It can be helpful to look a the expanded form of each of these factoring patterns.
A (ax+√c)^2=0 ⇒ a^2x^2 +2a√c*x +c = 0
B (√a*x+√c)^2=0 ⇒ ax^2 +2√(ac)*x +c = 0
C (√a*x+c)(√a*x-c)=0 ⇒ ax^2 -c^2 = 0
D (ax+√c)(ax-√c)=c ⇒ a^2x^2 -c = c
If 'a' and 'c' represent the coefficients in the given equation, then choices A, C, and D can be eliminated. The expanded forms of those end up with a^2 and/or c^2 as coefficients, not 'a' and 'c'.
Choice B is the only sensible one, and fits the given equation.
a = 1, c = 49 ⇒ √a = 1, √c = 7
x^2 +14x +49 = (x +7)^2 = 0 . . . . . factored using Pattern B
find the value of x when 6 - 4x +6x - 8x +6 , what is the vaule of x ?
=> 6- 4x +6x -8x +6 = 0
=> 12 -6x = 0
=> 6x = 12
=> x = 2
Are two similar triangles necessarily congruent? Why?
if their corresponding angles are congruent and the corresponding sides are in proportion ...so it will be similar triangle
Answer to this ?……..
If you filled out the chart fully:
a = 4
b = 7
c = 6
d = 9
e = 17
Based on the chart, their 7 girls and 10 boys. In this case, it is a better chance of selecting a boy which ratio is:
7:10
There is a greater chance of picking a boy than a girl where there is three more boys than girls.
Which of the following function rules represents the graph shown?
o f() = Xhy3
of(x) = 3 - X
Of(x) = -3х
Answer:
f(x) = 3 - x.......!!!!
I think so this is the. answer.....!!!
Your piggy bank contains quarters and dimes. There are 572 coins in the piggy bank totaling $92. How
many quarters and dimes are in the piggy bank
Answer:
340 dimes and 232 quartersStep-by-step explanation:
Let the number of dimes be x and quarters be y.
Dime = 10 cents, quarter = 25 cents, total amount is $92 = 9200 centsWe have equations:
x + y = 57210x + 25y = 9200Multiply the first equation by 10 and subtract from the second one:
10x + 25y - 10x - 10y = 9200 - 572015y = 3480y = 3480/15y = 232Find the value of x:
x + 232 = 572x = 572 - 232x = 340simply the expresstion: 5+8 (3 + x )
Answer:
29+8x
Step-by-step explanation:
5+8(3+x)
Expand 8(3+x)
= 5+24+8x (add the numbers)
= 29+8x
What is the first step in solving the equation 4b - 7 = 13.
Answer:
Add 7 to both sides of the equation [it would look like: 4b - 7 +7 = 13+7]
Step-by-step explanation:
Jim’s backyard is rectangular with dimensions of 80 feet by 120 feet. He is planning to designate part of the yard to plant a vegetable garden. The garden will be a similar rectangle, using a scale factor of 3/4. How much fencing will he need if he wants to enclose the garden on all four sides?
How many feet does he need?
Find the greatest common factor of 15c and 8c2.
Andre runs at a constant speed, 5 meters every 2 seconds. how long does it take him to run 91 meters at this rate
Answer: 36.4 seconds
(Unitary method)
5 meters take 2 seconds
1 meter takes 2/5 seconds
91 meter takes 2/5 * 91 --> 36.4 seconds
The time taken by Andre to run 91 meters is 36.5 seconds.
What is the speed of an object?Speed is the rate at which an object's position changes, measured in meters per second. For example, if an object starts at the origin, and then moves three meters in three seconds, its speed is one meter per second. The equation for speed is simple: distance divided by time
Given here: Distance travelled by Andre=5 meters in time t=2seconds
Thus Andre's speed = 5/2
=2.5 m/sec
Thus time taken to run 91 m is = 91/2.5
=36.5 seconds
Hence, The time taken by Andre to run 91 meters is 36.5 seconds.
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What is the value of q
Answer:
Triangles QST and RST are similar. Therefore, the following is true:
q s
--- = ---- This results in 10q=rs.
r 10
Also, since RST is a right triangle, 4^2 + s^2 = q^2.
Since QST is also a right triangle, s^2 + 10^2 = r^2.
4 s
Also: ---- = ----- which leads to s^2 = 40
s 10
Because of this, 4^2 + s^2 = q^2 becomes 16 + 40 = 56 = q^2
Then q = sqrt(56) = sqrt(4)*sqrt(14) = 2*sqrt(14) (answer)
The lines graphed below are parallel. The slope of the red line is 3. What is the
slope of the green line?
5
-5
5
O A. - 1 / 1
O B. 3
C.-3
Answer:
The correct answare should be slope of 3.
Step-by-step explanation:
Well if the red line has the slope of 3 and the green and the red are parrallel than the slope of green should also be 3.
If you want 10 points answer my question
Plz
Evaluate 5−1/−90. Write your answer as a fraction in simplest form.
Answer:
2/-45
Step-by-step explanation:
5-1 = 4
4/-90 = 2/-45
Hope that helps
what’s 75 percent of 120
Answer:
90
Step-by-step explanation:
q
The sum of two numbers is 48.when the smaller number is subtracted from the larger number,the difference is 12. What are the two numbers
Answer:
The two numbers are:
30 and 18
Step-by-step explanation:
a + b = 48
a - b = 12
From the first eq.
a = 48 - b
Replacing this last value in the second eq.
(48 - b) - b = 12
48 - 2b = 12
48 - 12 = 2b
36 = 2b
36/2 = b
18 = b
from the first eq.
a + 18 = 48
a = 48 - 18
a = 30
Check:
from the second eq.
a - b = 12
30 - 18 = 12
which is equivalent to -sinx for all values of x?
A. Sin(90*+x)
B.sin(90*-x)
C.sin(180*+x)
D.sin(180*-x)
Answer:
sin ( 180* + x ) = - x
Step-by-step explanation:
This is the correct answer
(100 POINTS) URGENT PLEASE HELP
A class is selling granola bars for a fundraiser. They earn $0.75 for every granola bar sold. They have ordered 300 granola bars for the sale. The function P(b) = .75b represents the profit (P) the class earns for each bar (b) they sell. Find a reasonable domain and range for this scenario.
If you post a random answer just to get the points, I will report you with several accounts until you get banned.
Answer:
I'm not sure but I'll try help you work it out
Step-by-step explanation:
You need to do 300 x 0.75
Then you need to do 0.75 + 0.75, 300 x 1.50
Now compare the answers
A reasonable domain could be a bake sale <3
Sorry I tried to help
No files or links please!
graph y= -4/3 x+2 using the slope and y-intercept
Answer:
heres a graph
Step-by-step explanation:
Answer: there you go
Step-by-step explanation:
Solve. 8 3/5=3/4x−5 1/2 Enter your answer as a mixed number in simplest form in the box.
The value of x in the expression is 18(24/30).
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,
8(3/5) = (3/4)x - 5(1/2)
43/5 = 3x/4 - 11/2
43/5 + 11/2 = 3x/4
(86 + 55)/10 = 3x/4
141/10 = 3x/4
3x = 141 x 4 / 10
x = 564/30
x = 18(24/30)
Thus,
The value of x is 18(24/30).
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Mandy is setting up for a reception. For the number of seats needed, she knows she can use either 8 seats at each table with none left over, or 10 seats at each table with none left over. Which is the least number of seats she is setting up?
PLEASEEEE HELPPPP ASAPPPP
Answer:
x ≈ 7.1
Step-by-step explanation:
Using the cosine ratio in the right triangle.
cos27° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{KL}{KM}[/tex] = [tex]\frac{6.3}{X}[/tex] ( multiply both sides by x )
x × cos27° = 6.3 ( divide both sides by cos27° )
x = [tex]\frac{6.3}{cos27}[/tex] ≈ 7.1 ( to the nearest tenth )
If f(x) = x2 + x - 8, find f(-3).
Answer:
-17
Step-by-step explanation:
it's telling you to replace x with -3.
You have to replace all the x's with -3.
(-3)2 + (-3) - 8 = -17
convert the following
1. 0.3 m
2. 37 cm
3. 3.3 cm
4. 4,000 dm
5. 6 hm
6.0.441 L
7. 24.96 L
8. 1,915 ml
9. 13.8 kg
10. 1,698 9
Answer:
I dont need
Step-by-step explanation:
what to convert
Find the slope for (3,1)and (4,3)
Answer:
2
Step-by-step explanation:
slope formula : [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] where the x and y values are derived from known points
We are given the points (3,1)and (4,3)
Given these points we can define our variables
(x1,y1) = (3,1) so x1 = 3 and y1 = 1
(x2,y2) = (4,3) so x2 = 4 and y2 = 3
Now that we have defined our variable, we plug them into the formula
Recall formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
x1 = 3 , y1 = 1 , x2 = 4 , y2 = 3
* plug in values *
[tex]\frac{3-1}{4-3}[/tex]
subtract 3 and 1 , and 4 and 3
[tex]\frac{3-1=2}{4-3=1} =\frac{2}{1} =2[/tex]
the slope is 2
HELP PLSSSS ILL REWARD BRAINLIEST!!!
how much water should be added to 5 gallons of 50% acid solution to get a 20% solution?
thank you.
The amount of water that should be added to 5 gallons of 50% acid to get 20% solution is 7.5 gallons.
Word problems in mathematics requires crucial understanding and mathematical knowledge to be able to solve real life cases.
From the information given:
Let consider (x) to be the amount of water to be added 5 gallons of 50% acid solution will be = 5 × 0.5 = 2.5 gallons of acid in 50% solution.∴
The amount of water to be added can computed by using the relation:
[tex]\mathbf{\dfrac{2.5}{x+5} = 20\%}[/tex]
[tex]\mathbf{2.5= 0.2(x+5)}[/tex]
2.5 = 0.2x + 1
2.5 - 1 = 0.2x
1.5 = 0.2x
x = 1.5/0.2
x = 7.5
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How to expand Expand 7n-3+1-2n
Answer:
5n-2
Step-by-step explanation:
collect like terms
-> (7n-2n)+(-3+1)
simplify
=> 5n-2
Figure ABCD is transformed to obtain figure A′B′C′D′:
A coordinate grid is shown from negative 6 to 6 on both axes at increments of 1. Figure ABCD has A at ordered pair negative 4, 4, B at negative 2, 2, C at negative 2, negative 1, D at negative 4, 1. Figure A prime B prime C prime D prime has A prime at ordered pair 4, 1, B prime at 2, negative 1, C prime at 2, negative 4, D prime at 4, negative 2.
Part A: Write the sequence of transformations that changes figure ABCD to figure A′B′C′D′. Explain your answer and write the coordinates of the figure obtained after each transformation. (6 points)
Part B: Are the two figures congruent? Explain your answer. (4 points)
Answer:
Reflected along x axis
Translated 7 units to the right
Step-by-step explanation:
If a point (x, y) is reflected along the x axis, its x coordinate remains the same and the y coordinate is opposite (negated). The new point is at (x, -y)
If a point (x, y) is translated h units to the right, the new coordinate is (x+h, y).The transformation are as follows:
It is reflected along the x axis so that the new coordinates would be at A1 at (- 4, -4), B1 at (- 2, -2), C1 at (- 2, 1), D1 at (- 4, -1)
It is translated 7 units to the right, The new coordinates are A' at (3, -4), B' at (5, -2), C' at (5, 1), D' at (3, -1)
Hope that's better
Type the correct answer in each box. If necessary, use / for the fraction bar(s). Find the solution for this system of equations. 12x 15y = 34 -6x 5y = 3 x = y =.
The value of x and y are 5/6 and 8/5 respectively
Given the systems of equations
12x + 15y = 34 ...................... 1 *1 -6x + 5y = 3 ..................... 2 * 3Solving the equations using the elimination method
12x + 15y = 34
-18x + 15y = 9
Subtract both expressions:
12x-(18x) = 34 - 9
12x+18x = 25
30x = 25
x = 5/6
Substitute x = 5/6 into equation 1 to have:
12x + 15y = 34
12(5/6) + 15y = 34
10 + 15y = 34
15y = 24
y = 8/5
Hence the value of x and y are 5/6 and 8/5 respectively
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