Answer:
$20
Step-by-step explanation:
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]
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
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.
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
f(x) = 10(1/2)x is it linear, exponential or neither
Answer:
It is a linear.
Step-by-step explanation:
Because after factor the function you will get f(x)= 5x, and the linear function is y=ax.
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:
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
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
What expression is equivalent to 9(3x + 8)? *
Step-by-step explanation:
This is what it is equal to:
9×3x=27x
9×8=72
Therefore it will be:
[tex]27x + 72[/tex]
hope it helps!
Answer:
27x+72
Step-by-step explanation:
You have to use the distributive property to simplify the expression. Therefore, you have to multiply both terms inside the parentheses.
1. 9*3x=27x
2. 9*8=72
They could not be added together, as they are not like-terms. So, you just write it down as 27x+72.
what is the perimeter of a quadrilateral with vertices at (-5,-2),(-4,-2),(-5,1), and (-4,1) enter the answer in the box
Answer:The formula to find the perimeter of the quadrilateral = sum of the length of all the four sides.Here the lengths of all the four sides are 5 cm, 7 cm, 9 cm and 11 cm.Therefore, perimeter of quadrilateral = 5 cm + 7 cm + 9 cm + 11 cm = 32 cm
Step-by-step explanation:
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]
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
mehjgsgwqididhdgascccknska
Answer:
Yo, thx for the free points man
Step-by-step explanation:
Complete the following statement: |-13| __ -(-13)
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
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
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
What is the solution of the system 3x - 4y = 28 and x + 2y = 6
Answer:
x=8 and y=−1
Step-by-step explanation:
b=2x^2(x-5) divided by 10x solve b if x=10
Answer:
answer is 10
Step-by-step explanation:
2x^2(x-5) /10x
x=10
so,
=2*10^2 (10-5) / 10*10
=2*100(10-5) /100
=200*5 / 100
=1000/100
=10
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.
The value of b when x = 10 is 10.
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,
b = 2x² (x - 5) ÷ 10x
When x = 10 find b.
Now,
b = (2x² (x - 5))/ 10x
Substitute x = 10
b = 2 x 10² ( 10 - 5) / 10 x 10
b = 200 x 5 / 100
b = 10
Thus,
The value of b when x = 10 is 10.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
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
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:
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.
John sells candy bars for 2$ each. How much will he make if he sells 10 bars
Each Candy Bar is $2, so if he sells 10, you just need to multiply,
10 * $2 = 20
So He'll make $20, selling 10 bars.
If he sells 50 bars then just multiply,
50 * $2 = 100
So He'll make $100 selling 50 bars.
Answer:
he will make $20 dallors
10×$2=20
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
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
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
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:
:)
PLZ PLZ PLZ ANSWER THIS!!!!
Answer:
a.
Step-by-step explanation:
girls 60/50
boys 40/50
40/50 is 10
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! :)
