Answer:
1- 4/6 = 2/6 or 1/3.
Answer:
1/3
Step-by-step explanation:
1 - 4/6
Replace 1 with 6/6
6/6 - 4/6
2/6
Divide the top and bottom by 2
1/3
Solve for x in the equation x2 -8x+41=0.
X=-4+ 37i
X = -4 - 5i
X = 4+ 37i
Answer:
not sure if this is a right answer. but hope this helps
Step-by-step explanation:
The roots of the given quadratic equation are x=-1.6 and x=-6.4.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
here, we have,
given that,
The given equation is x² - 8x + 41 =0.
The given equation can be solved using quadratic equation formula.
Here, by comparing x² - 8x + 41 =0 with ax²+bx+c=0, we get a=1, b=-8 and c=41.
Quadratic equation formula x = -b±√b² - 4ac / 2a
Now, x= -8 ± √ 64 - 41 / 2×1
⇒ x= -8 ± √23 / 2
⇒ x= -8 ± 4.8 /2
⇒ x=-1.6 or x=-6.4
Therefore, the roots of the given quadratic equation are x=-1.6 and x=-6.4.
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Verify the identity cosx cos(-x) - sinx sin(-x) =1
Answer:
(identity has been verified)
Step-by-step explanation:
Verify the following identity:
cos(x) cos(-x) - sin(x) sin(-x) = 1
Hint: | Cosine is an even function.
Use the identity cos(-x) = cos(x):
cos(x) cos(x) - sin(-x) sin(x) = ^?1
Hint: | Sine is an odd function.
Use the identity sin(-x) = -sin(x):
cos(x) cos(x) - -sin(x) sin(x) = ^?1
Hint: | Evaluate cos(x) cos(x).
cos(x) cos(x) = cos(x)^2:
cos(x)^2 - ( - sin(x) sin(x)) = ^?1
Hint: | Evaluate -(-sin(x)) sin(x).
-(-sin(x)) sin(x) = sin(x)^2:
cos(x)^2 + sin(x)^2 = ^?1
Hint: | Use the Pythagorean identity on cos(x)^2 + sin(x)^2.
Substitute cos(x)^2 + sin(x)^2 = 1:
1 = ^?1
Hint: | Come to a conclusion.
The left hand side and right hand side are identical:
Answer: (identity has been verified)
What is the value of x in the equation 3x -
by = 18, when y = 272
5
7
45
63
Mark this and return
Save and Fit
∠AED is a straight angle. Prove: m∠AEB = 45° A horizontal line has points A, E, D. 2 lines extend from point E. One line extends to point B and another extends to point C. Angle C E D is a right angle. Complete the paragraph proof. We are given that Ray E B bisects ∠AEC. From the diagram, ∠CED is a right angle, which measures degrees. Since the measure of a straight angle is 180°, the measure of angle must also be 90° by the . A bisector cuts the angle measure in half. m∠AEB is 45°.
Answer:
Proved
Step-by-step explanation:
Given:
∠AED is a straight angle. Angle CED is a right angle. Ray EB bisects ∠AEC.To Prove: m∠AEB = 45°
From the diagram, ∠CED is a right angle, which measures 90 degrees.
Since the measure of a straight angle is 180°, the measure of Angle AEC must also be 90° by the Linear Postulate.
A bisector cuts the angle measure in half.
Therefore m∠AEB = 45°.
Answer:
answer below.
Step-by-step explanation:
Three of the vertices of a trapezoid are A(3,-3), B(12, 6) and C(4,8). The fourth vertex is labeled D. One of its bases is AB
What is the equation of the line that includes base CD?
Answer:
y = x + 4
I graphed all the points, and the line that goes through AB is y = x - 6. The bases of a trapezoid are parallel, so the slope on the line CD has to be the same. I graphed the point C and just tried different y-intercepts to see which line would go through C.
TRUE OR FALSE?
Picture below
Answer:
True.
Step-by-step explanation:
If we were to simplify both fractions down to their simplest form, we would get:
[tex]\frac{3}{9} = \frac{1}{3}[/tex]
[tex]\frac{5}{15} = \frac{1}{3}[/tex]
Therefore, the two ratios do form a proportion. Both are equivalent to [tex]\frac{1}{3}[/tex] when in simplest form.
The diagram shows two sets of vectors that result in a single vector. What are the first two steps for finding the magnitude of the resultant vector?
A. Find the square of the first horizontal vector and the square root of the first vertical vector
B. Find the square root of the first horizontal vector and the square root of the second horizontal vector
C. Find the sum of the two horizontal vectors in the summer for two vertical vectors
D. Find the difference between the two horizontal vectors and the difference between the two vertical vectors
C. Find the sum of the two horizontal in the summer for two vertical vectors.
Answer:
Can confirm C is right i got 100 on the unit test
Step-by-step explanation:
Simplify the following expression.
11 - X 7
Answer:
11-7x its already simplified
by-step explanation:
multiply
To compute a product; to perform a multiplication.
Pleaseeeeee HELP!!! ASAP
Answer:
I think its D
Solve the following equation using algebraic operations 3( x-4)= -18
Answer:
x=-2
Step-by-step explanation:
3( x-4)= -18
Divide each side by 3
3( x-4)/3= -18/3
x-4= -6
Add 4 to each side
x-4+4 = -6+4
x = -2
Answer:
x+ -2
Step-by-step explanation:
-18/3= -6 -6+4=-2
A student made a mistake when measuring the volume of a big container. He found the volume to be 75 liters.However, the real value for the volume is 60 liters. What is the percent error?
Answer: 20%
Step-by-step explanation:
Explanation is in progress of writing:
First, I will divide 60 by 75 and multiply by 100, to find what percent of 75 is 60:
= [tex]\frac{60}{75}[/tex] · 100
= 0.8 · 100
= 80%
The percentage error of the student's measurement is 25%.
Given the following data;
Experimental value = 75 liters Real value = 60 litersPercentage error can be defined as a measure of the extent to which an experimental value differs from the theoretical value.
Mathematically, percentage error is given by this expression;
[tex]Perecent \; error = \frac{Real \; value - Experimental \; value}{Real \; value} * 100[/tex]
Substituting the values into formula, we have;
[tex]Perecent \; error = \frac{60 - 75}{60} * 100[/tex]
[tex]Perecent \; error = \frac{-15}{60} * 100[/tex]
Note: The negative sign is neglected in percentage error.
[tex]Perecent \; error = \frac{1}{4} * 100[/tex]
Percent error = 25%
Therefore, the percent error is 25%.
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What is the value of y?
Answer: ∠JKM = 106\textdegree and
∠JKM = 74\textdegree
Step-By-Step-Explanation
Since we have given that
∠JKM=10y+6
∠MKL=8y-6
Since they are linear pairs ,
So,
∠JKM =
and
∠MKL =
What is the slope of the line represented by the equation Y= 4/5x-3
Answer:
4/5
Step-by-step explanation:
y=mx+b where m is slope
Answer: 4/5
Step-by-step explanation:
Slope is denoted by m, hence the equation y = mx + b. In this equation, 4/5 is the slope
Five of Teddy’s six cousins can
do 15 push-ups in one set. Which
decimal is equivalent to the fraction
of Teddy’s cousins who can do
15 push-ups?
Answer: 0.83
Step-by-step explanation:
The fraction of Teddy's cousins what can do push-ups is [tex]\frac{5}{6}[/tex]. We get this fraction because the problem states that 5 of Teddy's 6 cousins can do 15 push-ups. Now that we have our fraction, we divide to get our decimal.
[tex]\frac{5}{6} =0.83[/tex]
Answer:
0.83 with the 3 as the repeating number (3 with the line over it)
Step-by-step explanation:
5 divided by 6
Which of the following phrases translates to 8 - m?
the difference between a number and eight
eight decreased by a number
eight subtracted from a number
a number minus eight
Answer: B) eight decreased by a number
Step-by-step explanation:
decreased = subtraction, therefore, eight decreased by a number is 8 - m.
1. How many possible outcomes are there for flipping a coin three times
1. 3
2. 14
3. 8
2. What is the theoretical probability of all three flips being heads
1. 1/8
2. 3/8
3. 1/2
3. What is the probability of thete being at least one tail
1. 1/8
2. 1/2
3.7/8
Answer:
1. 14
2. 1/8
3. 7/8
Step-by-step explanation:
pls help me out and thx for who answers this
Answer: 3: 42.49
Step-by-step explanation:
_________________________________
Hey!!
Solution,
Marked price (MP)=$ 49.99
Discount percent=15%
Sale price (SP)=?
Now,
Discount amount=discount% of MP
=15% of 49.99
=$7.4985
Again,
Sale price=MP- Discount
=49.99-7.4985
=$ 42.49
So the sale price is $42.49
Hope it helps..
Good luck on your assignment
_____________________________
Use the drawing tool(s) to form the correct answers on the provided graph.
In the given equation, yis a function of x.
Graph the function in the coordinate plane. Use the Mark Feature tool to indicate the x- and y-intercepts of the function.
Drawing Tools
Click on a tool to begin drawing
(90points)
Can you please send image clearly ?
Answer:
y = 2/3x + 4
Step-by-step explanation:
the sum of two integers is 19. the larger of the two numbers is 3 more than 3 times the smaller integer. what are the integers
Answer:
4 an 15
Step-by-step explanation:
The two integers whose sum is 19 and the larger of the two numbers is 3 more than 3 times the smaller integer are 4 and 15 respectively.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Let, The smaller interger be 'x'.
So, The larger integer is 3x + 3.
Given, The sum of two integers is 19.
Therefore, x + 3x + 3 = 19.
x + 3x + 3 = 19.
4x = 16.
x = 4, Hence the larger integer is 15.
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Misty, Tina and Jen walk into a store. The manager places his hand on Tina’s shoulder and tells her, “You didn’t win the door prize.” Then he looks at Jen and Misty and says, “But one of you did.” What is the probability that Jen has won?
A. 50%
B. 25%
C. 75%
D. 100%
Answer:
50%
Step-by-step explanation:
3 of them walk into a store, giving her a 33.333% chance of winning. By eliminating one, Tina may as well have never walked into the store, leaving Jen with a 50% chance.
Answer:
A.50%
Step-by-step explanation:
Use the given figure to find the length of x.
Answer:
x = 18
Step-by-step explanation:
This problem can be solved using concept of Pythagoras theorem.
Pythagoras theorem states that in a right angled triangle, if "a" and "b" are sides containing the right angle and h is hypotenuse then the relation between them is [tex]a^2 + b^2 = h^2[/tex]
_________________________________________
Given in the problem
a = 24
b = x
h = x+12
applying Pythagoras theorem
[tex]24^2 + x^2 = (x+12)^2\\=> 576 + x^2 = x^2 + 24x + 144\\=>576 = x^2 + 24x + 144 - x^2\\=> 576 = 24x + 144 \\=> 576 - 144= 24x\\=> 432 = 24x\\=> x = 432/24 = 18[/tex]
for (x+12)^2 we have used formula [tex](a+b)^2 = a^2 + 2ab + b^2[/tex]
Thus, value of x is 18.
The length of a rectangle is x. The length and width add up to 10 inches. What is the maximum area of the rectangle? Please provide steps on how solve!
Answer:
[tex]Area=25\,\,in^2[/tex]
Step-by-step explanation:
The length of the rectangle is unknown and is defined with the letter "x". Notice that the width of the rectangle is also unknown, so we can name it 'y".
Recall the formula for the area of a rectangle (length times width), and notice that it is this quantity the one we need to maximize (find the maximum possible value).
We use the other information provided to represent the rectangle's with (y) in terms of "x" :
length + width = 10 inches
x + y = 10
Therefore, y = 10 - x
Now we use this expression for "y" in the product for the area;
[tex]Area= x\,*\,y\\Area=x\,(10-x)\\Area=10x-x^2\\Area=-x^2+10x[/tex]
Notice that this quadratic expression corresponds to a parabola with branches pointing down (negative leading term), so its maximum value would be given at the vertex of the parabola.
Now recall that the formula for the x-value of a parabola's vertex when its function is of the form [tex]f(x)=ax^2+bx+c[/tex]
is given by:
[tex]x_{vertex}=-\frac{b}{2a}[/tex]
which in our case where "a" = -1 and "b" = +10, gives:
[tex]x_{vertex}=-\frac{b}{2a}\\x_{vertex}=\frac{-10}{2(-1)}\\x_{vertex}=\frac{-10}{-2}\\x_{vertex}=5[/tex]
Then the maximum value for the Area can be obtained by replacing "x" with "5" in the area formula:
[tex]Area=-x^2+10x\\Area=-(5)^2+10\,(5)\\Area=-25+50\\Area=25\,\,in^2[/tex]
Therefore, the area of the rectangle is [tex]25\,\,in^2[/tex]
what point is located on the graph of any proportional relationship
Answer:
At the end
Step-by-step explanation:
i need the answer now!!
Answer:
10 ft^3
Step-by-step explanation:
if a cube is 1/3ft then 3 cubes = 1ft
then 30 cubes = 10ft^3
Find measure of angle PRS pleaseee urgent!!
Answer:
142 degrees
Explanation:
First, you are going to estimate. You can quickly see that the angle is more than 90 degrees. The only option more than 90 degrees os 142 degrees.
Answer:
142
Step-by-step explanation:
Then plug it in
Select the term that does NOT describe the triangle. Select all that apply
acute
Isosceles
Obtuse
Acute is the term which does not describe the given triangle.
In the given triangle with sides 11, 11 and angles 30, 30, 120 degrees:
"Acute" is a not a valid term because all angles in the triangle (30, 30, and 120 degrees) are not less than 90 degrees.
"Isosceles" is a valid term because the triangle has two equal sides (11, 11).
"Obtuse" is applicable because an obtuse triangle have one angle greater than 90 degrees, 120 degrees is greater then 90 degrees.
Therefore, "acute" is the term that does not describe the triangle.
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Bonita drove 8 miles from her home to the library, and then drove back. Graph A shows her distance from home during the trip. Graph B will show her distance from the library during the trip. Complete each statement about Graph B.
Need help Asap plz and thank you!
Given m
Why is partitioning a directed line segment into a ratio of 1:3 not the same as finding 1/3 the length of the directed line segment?
Answer:
The answer is C on Edge or "The ratio given is part to part. The total number of parts in the whole is 1 + 3 = 4."
Step-by-step explanation:
Can u please help me.
Answer: X60 degrees Y40 degrees
Step-by-step explanation: 180-120=60 the triangle is equal to 180-60=120 120-80=40