Answer:
Simplify the expression.
2n⁵−2n⁴+3n+3
If
[tex] \frac{3 + \sqrt{2} }{3 - \sqrt{2} } [/tex]
=a+b×
[tex] \sqrt{2} [/tex]
, find the values of a and b.
With Full Workings.
Please hurry!
Answer:
The answer is
[tex] a = \frac{11}{7} \\ b = \frac{6}{7} [/tex]
Step-by-step explanation:
[tex] \frac{3 + \sqrt{2} }{3 - \sqrt{2} } \times \frac{3 + \sqrt{2} }{3 + \sqrt{2} } \\ = \frac{9 + 3 \sqrt{2} + 3 \sqrt{2} + 2}{9 - 3 \sqrt{2} + 3 \sqrt{2} - 2 } \\ = \frac{11 + 6 \sqrt{2} }{7} \\ = \frac{11}{7} + \frac{6}{7} \sqrt{2} \ [/tex]
In comparison
Then
[tex]a = \frac{11}{7} \\ b = \frac{6}{7} [/tex]
Graph the equations
Y=400+50x
Y=300+25x
1.) from the graph at what time will the they have the same height
I’ll give u brainlist pls help
Answer:
We conclude that, at 4 minutes, both will have the same height which is 200 feet.
Step-by-step explanation:
Given the system of equations
[tex]y=400+50x[/tex]
[tex]y=300+25x[/tex]
Important Tip:
The point of intersection of the two lines would give us the point at which both have the same height.Graphing the system of equations
The graph of the equation y = 400 + 50x
First, determine the y-intercept of the equation y = 400 + 50x by substituting x = 0
[tex]y = 400 + 50x[/tex]
[tex]y = 400 + 50(0)[/tex]
[tex]y = 400 + 0[/tex]
[tex]y = 400[/tex]
Thus, we determine that the ordered pair (0, 400) represents the y-intercept of the equation y = 400 + 50x.
Next, determine the x-intercept of the graph of the equation y = 400 + 50x by substituting y = 0
[tex]y = 400 + 50x[/tex]
[tex]0=400+50x[/tex]
switch sides
[tex]400+50x=0[/tex]
Subtract 400 from both sides
[tex]400+50x-400=0-400[/tex]
Simplify
[tex]50x=-400[/tex]
Divide both sides by 50
[tex]\frac{50x}{50}=\frac{-400}{50}[/tex]
Simplify
[tex]x=-8[/tex]
Thus, we determine that the ordered pair (-8, 0) represents the x-intercept of the equation y = 400 + 50x.
Important Tip:
The point at which the graph crosses the y-axis is called the y-intercept. The point at which the graph crosses the x-axis is called the x-intercept.The red graph on the diagram represents the equation y = 400 + 50x having the y-intercept (0, 400) and x-intercept (-8, 0)
Please check the attached diagram.
The graph of the equation y = 300 + 25x
Now, determine the y-intercept of the equation y = 300 + 25x by substituting x = 0
[tex]y = 300 + 25x[/tex]
[tex]y = 300 + 25(0)[/tex]
[tex]y = 300 + 0[/tex]
[tex]y = 300[/tex]
Thus, we determine that the ordered pair (0, 300) represents the y-intercept of the equation y = 300 + 25x.
Next, determine the x-intercept of the graph of the equation y = 300 + 25x by substituting y = 0
[tex]y=300+25x[/tex]
[tex]0 = 300 + 25x[/tex]
switch sides
[tex]300+25x=0[/tex]
Subtract 300 from both sides
[tex]300+25x-300=0-300[/tex]
Simplify
[tex]25x=-300[/tex]
Divide both sides by 25
[tex]\frac{25x}{25}=\frac{-300}{25}[/tex]
Simplify
[tex]x=-12[/tex]
Thus, we determine that the ordered pair (-12, 0) represents the x-intercept of the equation y = 300 + 25x.
The blue graph on the diagram represents the equation y = 300 + 25x having the y-intercept (0, 300) and x-intercept (-12, 0)
Please check the attached diagram.
Analyze the POINT OF INTERSECTION:
As we already know that the point of intersection of the two lines would give us the point at which both have the same height.
The diagram indicates that:
at x = -4, the value of y = 200.
It is the point where both lines meet.
Thus, the point of intersection of the two lines is:
(x, y) = (-4, 200)
Conclusion:
As x represents the time in minutes and y represents the height in feet.
Thus, we conclude that at x = 4 minutes, both will have the same height i.e. y = 200 feet
Therefore, we conclude that, at 4 minutes, both will have the same height which is 200 feet.
Use the word bank to identify the correct vocabulary word that goes with circle J below.
Answer:
HDE is the semicircle
EH is the diameter
Directions: Read the instructions for this self-checked activity. Type in your response to each question, and check your answers. At the end of the activity, write a brief evaluation of your work
Activity: You will use the GeoGebra geometry tool to explore how a line parallel to one side of a triangle divides the other two sides of the triangle. Go to
segments parallel to sides of a triangle e, and complete each step below. If you need help, follow these instructions for using GeoGebra.
Question 1: Check the box labeled Show Segment Parallel to BC. Notice that DE intersects two sides of AABC creating a smaller triangle. AADE. How is
AADE related to AABC? How do you know?
Angle D and angle B are congruent because they are corresponding angles. Angle E and C are also congruent because they are corresponding angles.
Can someone help me plz?? and if u answer it can u explain how you got the answer? thx :)
Answer:
x=5
Step-by-step explanation:
2x+7=5x-8
+8+7=5x-2x
15=3x
15/3
x=5
Helpp (please tell me if you can’t see the numbers so I can tell you them)
Answer:
-6 is the y coordinate
Step-by-step explanation:
2/3 (6a+9)
plsss i need it asap
Answer:
4a +6
Step-by-step explanation:
Simplify the expression
Hope it helps! :)
Please mark me brainliest
Answer:
4a+6
Step-by-step explanation:
To simplify you need to:
2/3(6a+9)=
4a+6
Pablo is buying tile to install in his bathroom. The
sketch of his floor is shown.
How much tile must Pablo purchase to cover his
bathroom floor?
6 ft
O 24 square feet
O 30 square feet
O 45 square feet
90 square feet
6 ft
3 ft
9 ft
Answer:
45 so C
Step-by-step explanation:
Its right on edge
Find the value of x. Write your answer as a simplified radical if necessary.
Answer:
x=5
Step-by-step explanation:
The right angle opposite is the hypotenuse
The 30° is the opposite
SohCahToa
Soh = Sin because you got Opposite and Hypotenuse (because you're trying to find the side, you'd do the opposite of dividing, which is times)
10×sin(30)=5
Help me number 4 asap
Answer:
B
Step-by-step explanation:
Answer:
the answer is b. -4y+1
Step-by-step explanation:
b -4y+1
if the cost of the wallpaper was $771.12 , what was the cost , in dollar , of the wallpaper per square foot
Answer:
$0.72
Step-by-step explanation:
:)
Given the measure of two of the angles, find the measure of the 3rd
Answer:
Measure of 3rd angle is 80 degrees
angle SAX - angle PAX = measure of 3rd angle (SAP)
hence 141 - 61 = 80 degrees
hence measure of 3rd angle is 80 degrees
GOOD LUCK FOR THE FUTURE! :)
A flat rate shipping box is in the shape of a rectangular prism you estimate the volume of the box 350 in.³ you measure the box and find that has a length of 10 inches a width of 9 inches and a height of 4.5 inches find the percent error round your answer to the nearest 10th of a percent
Answer:14.4
Step-by-step explanation:
simplify:(a+b)²+(a-b)²
Answer:
a² + 2ab + b² + a² - 2ab + b²
2a² + 2b²
Step-by-step explanation:
Remember (a + b)² = a² + 2ab + b²
and (a - b)² = a² - 2ab + b²
evaluate -7 5/8 + (-6 1/4)
Answer:
exact form:
-111/8
Decimal form:
-13.875
Mixed Number Form:
-13 7/8
Answer:
-5.875
Step-by-step explanation:
primero se resuelve el paréntesis
1/4 =0.25
y se multiplica por el -6
0.25x-6= -1.5
luego se resuelve el otro lado
primero dividimos
5/8=0.625
y se multiplica por -7
0.625x-7= -4.375
y para finalizar se suman los dos lados
-4.375 + -1.5
= -5.875
What are 2 equivalent ratios for 3/38
Answer:
6/38, 9/38 are two
Multiply by 2 and 3 DONT multiply the denominators when multiplying.
solve in systems by substitution y=x+2 and 3x+3y=6
Answer:
x = 0, y = 2
Step-by-step explanation:
Substitute the first equation into the second equation so 3x + 3(x+2) = 6. Simplify this to get x = 0. Plug x = 0 back into the first equation to get y = 2.
Answer:
x = 0, y = 2
Step-by-step explanation:
y = x + 2
3x + 3y = 6
3x + 3(x + 2) =6
3x + 3x +6 = 6
6x = 0
x = 0
y = x + 2 = 0 + 2 = 2
When 500 pesos is compounded monthly at 4% interest rate fo 3 years, what is the frequency of conversion?
Answer:
The answer is "562.432"
Step-by-step explanation:
Given:
[tex]P= 500\\\\r= 4\%\\\\n= 3 \ years\\\\\text{frequency of conversion}\ (A)=?[/tex]
Using formula:
[tex]\to A=P(1+r)^n[/tex]
[tex]= 500(1+4\%)^3\\\\= 500(1+\frac{4}{100})^3\\\\= 500(1.04)^3\\\\=500 \times 1.124864\\\\= 562.432[/tex]
What's the number that is halfway between numbers 0 and 121?
Halfway Between 0 and 121
Halfway Between
When you ask "What number is halfway between 0 and 121?" we assume you mean the number in the exact middle of the two numbers on a number line, as illustrated below, where X=0 and Y=121.
Halfway Between Line
To find the number halfway between 0 and 121, we use the following formula:
(X + Y)/2 = Halfway Between
When we enter 0 and 121 into our formula, we get:
(0 + 121)/2 = 60.5
Thus, the number halfway between 0 and 121 is 60.5
Answer:
solution given;
half way between 0 and 121=?
let a=0
and
b=121
we have
halfway =[a+b]/2=[0+121]/2=60.5
half way between 0 and 121 is 60.5
(points on a circle) PLEASE HELP THIS IS DUE TONIGHT
A circle is centered at C(0,0)C(0,0)C, left parenthesis, 0, comma, 0, right parenthesis. The point M(0,\sqrt{38})M(0,38 )M, left parenthesis, 0, comma, square root of, 38, end square root, right parenthesis is on the circle.
Where does the point N(-5,-3)N(−5,−3)N, left parenthesis, minus, 5, comma, minus, 3, right parenthesis lie?
Answer:
Inside the circle, a distance of [tex]\sqrt{34}[/tex] from the center of the circle.
Step-by-step explanation:
Center of circle is at (0,0)
One point of the circle is at (0,[tex]\sqrt{38}[/tex])
Since the only known point is in the y-axis, the radius of the circle must be [tex]\sqrt{38}[/tex].
[tex]\sqrt{38}[/tex] = 6.164
So the point (-5,-3) is still inside the circle as the distance from point (-5,-3) to the center of the circle is [tex]\sqrt{(5)^2+(-3)^2}[/tex] or [tex]\sqrt{34}[/tex] which is less than the radius of the circle.
Point N(-5, -3) lies inside the circle.
We have,
To determine the location of point N(-5, -3) in relation to the given circle centered at C(0, 0), we can calculate the distance between point C and point N.
- If the distance is equal to the radius of the circle, then N lies on the circle.
- If the distance is greater than the radius, N lies outside the circle.
- If it is smaller, N lies inside the circle.
Let's calculate the distance between C(0, 0) and N(-5, -3):
Distance = √[(x2 - x1)² + (y2 - y1)²]
= √[(-5 - 0)² + (-3 - 0)²]
= √[25 + 9]
= √34
Since the distance (√34) is less than the radius of the circle, which is √38 (distance between C and M), we can conclude that the point N(-5, -3) lies inside the circle centered at C(0, 0).
Thus,
Point N(-5, -3) lies inside the circle.
Learn more about Circle here:
https://brainly.com/question/11833983
#SPJ2
The complete question:
Given that a circle is centered at C(0, 0) and passes through the point M(0, √38), determine the location of the point N(-5, -3) in relation to the circle. Does point N lie inside, outside, or on the circle?
Determine whether the sequence is arithmetic. If it is, determine the common difference.
--12, 10, 32, 54,...
Answer:
The sequence is arithmetic
Step-by-step explanation:
Here we want to determine the sequence is arithmetic
If the sequence was arithmetic, the difference between the terms would be constant
We have this as;
10-(-12) = 22
32-10 = 22
54-32 = 22
As we can see, the difference is constant and so we have it that the sequence is arithmetic
if 5 workers can build 5 cars in 5 days how many days would it take for 7 workers to build 7 cars
Answer:
7 days
Step-by-step explanation:
It would also take 7 days
х = Зу
2x + 4y = 10
Substitution
Answer:
y=1
x=3
Step-by-step explanation:
Multiply 2x by three because if you substitute to y, you would have the multiply.
Write what is left. 6y+4y=10
Combine like terms 10y=10
y=1
x=3
Check 3=3(1)
6+4=10
So this solution is correct
Nolan uses 3 yard of string. He cuts the string into pieces that are 1/6 yard long. How many pieces does Nolan have?
Answer:
.5 yards or 18 in
Step-by-step explanation:
3 yards = 108 in
1/6 yards = 6 in
108in/6in= 18in
18in=.5yards
mehjgsgwqididhdgascccknska
Answer:
Yo, thx for the free points man
Step-by-step explanation:
6. What is the value of n? 3/8n - 1/3 = 5/6
Answer:
n= 3 1/9
Step-by-step explanation:
3/8n= 5/6 + 1/3
3/8n = 7/6
n = 7/6 ÷ 8/3
n=28/9
n= 3 1/9
Answer:
I think it's 3 1/9
Step-by-step explanation:
3/8n-1/3=5/6
×3. ×8. ×4
9/24n-8/24=20/24
+8/24. +8/24
9/24n=28/24
÷9/24. ÷9/24
n=28/24÷9/24
n=28/24×24/9
n=672/216
n=28/9
n=3 1/9
PLZ PLZ PLZ ANSWER THIS!!!!
Answer:
a.
Step-by-step explanation:
girls 60/50
boys 40/50
40/50 is 10
Complete the following statement: |-13| __ -(-13)
What is the solution of the system 3x - 4y = 28 and x + 2y = 6
Answer:
x=8 and y=−1
Step-by-step explanation:
Anybody good in geometry and know how to do this? Free Brainliest and points .
Answer:
im guessing the answer would be C but im not sure
before hand sorry if you get it wrong
Step-by-step explanation:
Answer:
i think its b
Step-by-step explanation:
