Please help! ! ! ! !
Make x the subject of formula x²/a²+y²/b²=1
Answer:
x = ± [tex]\sqrt{\frac{a^2b^2-a^2y^2}{b^2} }[/tex]
Step-by-step explanation:
Given
[tex]\frac{x^2}{a^2}[/tex] + [tex]\frac{y^2}{b^2}[/tex] = 1
Multiply through by a²b² to clear the fractions
b²x² + a²y² = a²b² ( subtract a²y² from both sides )
b²x² = a²b² - a²y² ( divide both sides by b² )
x² = [tex]\frac{a^2b^2-a^2y^2}{b^2}[/tex] ( take the square root of both sides )
x = ± [tex]\sqrt{\frac{a^2b^2-a^2y^2}{b^2} }[/tex]
In formula x²/a²+y²/b²=1
Value of x as subject, x = ± [a√(b² - y²)]/b
What is equation?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side.
Given equation,
x²/a² + y²/b² = 1
moving y²/b² to right side
x²/a² = 1 - y²/b²
multiplying a² on both sides
a². x²/a² = a². 1 - a². y²/b²
Simplifying
x² = a² - a²y²/b²
x = ± √(a² - a²y²/b²)
x = ± a√(1 - y²/b²)
x = ± [a√(b² - y²)]/b
Hence, value of x = ±[a√(b² - y²)]/b in formula x²/a² + y²/b² = 1
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Finding angles in measures using triangles
you can use this for help:
the interior angles of a triangle add up to 180°
So, Angle I + angle H + angle x =180°
60°+56°+x°=180°
116°+x°=180°
X=180-116
X=64°
A delivery driver earns $221 for 17 hours of work. Assuming he is paid by the hour, how much will he earn in 12 hours?
Answer:
156
Step-by-step explanation:
221/17=13
13*12=156
Answer:
$156
Step-by-step explanation:
221/17=x/12
221*12=17x
2652=17x
156=x
Please answer for a and b
Answer:
a
Step-by-step explanation:
a
Answer:
Step-by-step explanation:
a can't be an integer
8/√2 doesn't reduce to an integer. It will give you 4*√2 * √2/√2 = 4√2
-√18/√2 = -√(3*3*2)/√2 = -3(√2)/√2 = -3
At best you will get 4√2 - 3
a = 4√2
b = - 3
Edit
b is correct. the answer for b = -3
a can't be done giving an integer answer. My best guess is 4 but that is not the correct answer. You could write it as (4 - 3)√2
My advice to you is to present it to your instructor and see what he/she comes up with.
You exercise 24 hours each month for a year how many hours did you exercise by the end of the year you may be able to do the math mentally thanks to expand notation and the distributive property
Please help answer with the calculation with distribution and without distribution.
Answer:
288 hours
Step-by-step explanation:
So you have 24 per month. so month can be represented by x.
24x= y
Y is the amount of hours.
One year is 12 months. so plug 12 into x
24(12) =y
y= 288
Please help me out!
What is the degree-measure of an angle travelled by the minute hand from 3:05pm to 3:50pm?
Answer:
270°
Step-by-step explanation:
We know that a full circle is 360°, the shape of a clock, and that the clock is divided into 12 different sections.
Our equation would be: 360 ÷ 12 = 30
3:05 is at the 1 hand and 3:50 is at the 10 hand. Subtract 1 from 10 and you get 9.
9 · 30 = 270, so our angle is 270°
I hope this helped, please mark Brainliest, thank you!
The graph of f(x) = 2x + 3 shifts 10 units to the right when it is replaced with the graph of f(x) = 2x − k. What is the value of k?
Answer:
k=7
Step-by-step explanation:
when entering values of x in the function, it is observed that for k = 7 the results of f (x) displace 10 units. For this see the attached table. Therefore, for this case, the correct answer is k = 7 and the way to solve it is to substitute values of x in the given functions and see the results of f (x).I attach results.
In ABC the measure of the largest angle 32 less than 3 time the smallest angle the measure of the middle angle is 8 more than half the measure of the largest angle . What is the measure of the middle angle?
Answer: The measure of the middle angle = 52°
Step-by-step explanation:
Let x = Smallest angle.
largest angle = [tex]3x-32[/tex]
Middle angle= [tex]8+\dfrac12 (3x-32)[/tex]
Sum of all angles in a triangle is 180 degrees.
So, Smallest angle+ largest angle+ Middle angle = 180°
[tex]\Rightarrow\ x+8+\dfrac12 (3x-32)+3x-32=180\\\\\Rightarrow\ 4x-24+\dfrac{3x}{2}-16=180\\\\\Rightarrow\ \dfrac{2\times4x+3x}{2}-40=180\\\\\Rightarrow\ \dfrac{11x}{2}-40=180\\\\\Rightarrow\ \dfrac{11x}{2}=220\\\\\Rightarrow\ x=\dfrac{220\times2}{11}\\\\\Rightarrow\ x= 40[/tex]
Now , Middle angle= [tex]8+\dfrac12 (3(40)-32)=8+\dfrac12 (120-32)[/tex]
[tex]=8+\dfrac12 (88)\\\\=8+44\\\\=52[/tex]
Hence, the measure of the middle angle = 52°
A lab technician draws a sample of blood. A cubic millimeter of the blood contains 22^3 (the 3 is an exponent) white blood cells and 22^5 (the 5 is an exponent) red blood cells. What is the ratio of white blood cells to red blood cells?
Answer:
484 : 1
Step-by-step explanation:
We can write white blood cells to:
22^5 = 22 × 22 × 22 × 22 × 22
We can write red blood cells to:
22³ = 22 × 22 × 22
Thus, white : red equals
22 (5 times) : 22 (3 times)
22² : 22^0 = 484 : 1
I hope this helps you :)
The required ratio of white blood cells to red blood cells is 1:484.
What is the Ratio?The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
Here,
A cubic millimeter of blood contains 22³, white blood cells, and 22⁵ red blood cells.
The ratio of white to red blood cell is given as,
Ratio = 22³/22⁵
Ratio = 1 / 484
Thus, the required ratio of white blood cells to red blood cells is 1:484.
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900 students attend Ridgewood Junior High School. 5% of students bring their lunch to school everyday. How many students brought their lunch to school on Thursday?
Answer:
180 students brought their lunch to school on Thursday
Step-by-step explanation:
We are told that out of 900, 5% of the students brought their lunch to school everyday
So the number that brought their lunch on Thursday will be;
5% of 900
= 5/100 * 900 = 180
Please help this is due today :)
ason used a graphing tool to find the equation of the line of best fit in this scatter plot.
After reading the equation of the line from the graphing tool, Jason wrote in his notebook that the line of best fit is represented by the equation y = 0.316x + 9.105.
Jason likely
an error when writing the equation in his notebook because
the slope and the y-intercept of the equation he wrote.
Answer: Jason likely MADE an error when working the equation in his notebook because ONLY THE Y-INTERCEPT MATCHES the slope and the y-intercept of the equation he wrote.
Step-by-step explanation:
Choose 3 values that would make this inequality true. 9 - n ≥ 4
Answer: Could be 0,1,2,3,4,5
Step-by-step explanation: 9-n has to be greater or equal to four. 9 minus 4 is five. So all of the answers must be positive numbers that are less than five.
Do it right plss I need good grades
Answer:its yhe one on the right
Step-by-step explanation:
Answer:
138 per 6 is the better deal
Step-by-step explan
$23 per g is the unit rate
An advertisement reads “All Books 28 Percent Off.” A best-selling novel is originally priced at $18.99. About how much money will Gio save if he buys the novel on sale?
$2
$6
$10
$14
Answer:
6 dollars i think
Step-by-step explanation:
Answer:
Gio will save about $6.
Step-by-step explanation:
You would convert 28% to a decimal which is 0.28 and then multiply 0.28 by $18.99 and you would get $5.3172 which is closest to $6 so it would be B. about $6
Please do for me thank you I am
4.) top row: 1, 2, 4, 6, 8, 10
bottom row: 25, 50, 100, 150, 200, 250
5.) top row: 1, 2, 4, 6, 8, 10
bottom row: 50, 100, 200, 300, 400, 500
Mass = 65 kg
Acceleration = 0.3 m/s2
Force =
Answer: 19.5 N
Step-by-step explanation:
Answer:
The answer is 19.2N
Step-by-step explanation:
F=m a
F=64*0.3=19.2N
Can someone please please help me. ?????
Answer:
#1
x intercept is -5
y intercept is -5
#2
y=8x
Step-by-step explanation:
Please help!! I have to find x and y!!
Answer:
X= 17.5
Step-by-step explanation:
the outside of the triangle always = 180
so you need to add up all the sides and equal to 180
5x+35+x+5+2x=180
add like terms
8x+40=180
get the x alone
x=17.5
*15 points* any help would be appreciated plz
Answer:
70 degrees because all of the angles in a triangle add up to 180 degrees150 degrees because the adjacent angle is 30 degrees110 degrees because the adjacent angle is 70 degrees50 degrees because angle 5 would also have to be 50 in order for all of the angles on that line to be 180 degreesStep-by-step explanation:
I hope this helps!!!!
What are the stages of asthma? Which is worse?
Answer:
Mild Intermittent Asthma – No more than 2 Symptoms per week, no problems in between attacks which only last a few hours to at most a few days, less than 2 nighttime episodes per month.
Mild Persistent Asthma – Symptoms happen at least 2 a week but not more than once a day.
Moderate Persistent Asthma – There are symptoms every day and because of that you have to use rescue medication every day as well.
Severe Persistent Asthma – You can’t do that much physical activity and always have to carry around and often use a rescue device.
Step-by-step explanation:
Answer:
bop
Step-by-step explanation:
The point-slope form of the equation of the line that passes through (-5, -1) and (10,-7) is
Y+ 7 = -
-- (x-10). What
is the standard form of the equation for this line?
O 2x - 5y = -15
2x - 5y = -17
2x + 5y = -15
2x + 5y = -17
Save and Exit
Answer:2x-5y=-15
Step-by-step explanation:
Use the distributive property to expand 0.05(50 + 40).
Answer:
4.5
Step-by-step explanation:
Here's what I found on google about distributive property:
To “distribute” means to divide something or give a share or part of something. According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
Now for the math-
distribute the numbers- 0.05(50)+0.05(40)
solve- 0.05*50= 2.5
0.05*40= 2
2.5+2= 4.5
Hope this helps
Answer:
0.05(50)+0.05(40)
Step-by-step explanation:
ill mark brainlest if right
Answer:
I am super sure its A and C
Hope this helps :D
WILL GIVE BRAINLIEST
WHAT IS 2+2
RIGHT AWNSER WINS/ HINT 4+18
Answer:
2+2=4
4+18=22
Step-by-step explanation:
The total charge on 4 particles is −36 units. All the particles have the same charge.
need asap What is the charge on each particle?
−9 units
−8 units
8 units
9 units
Answer:
-9
Step-by-step explanation:
If you multiply 9x4 you get 36. its minus 36 so therefor it has to be -9
Hope this helps :) <3
An art teacher needs to cut out squares of paper for an art project from a left-over sheet of paper measuring 72 x 104 inches. What size would the biggest possible square be with sides of whole number length?
Answer:
7488 inches
Step-by-step explanation:
I think that this is the correct answer. The reason is that you have to multiply 72 x 104. I´m not 100% sure.
The required maximum area of the biggest possible square is with sides of a whole number length of 7396 inches².
What is surface area?The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.
Here,
Area of the leftover sheet = 72 × 104 = 7488 inches²
area of the square = 7488
a² = 7488
a = 86.53
Somehow, for the biggest possible square to be with sides of whole number length,
The area is given as,
= 86²
= 7396 inches²
Thus, the required maximum area of the biggest possible square be with sides of whole number length 7396 inches².
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-0.59x+0.39x=5.8 I need help
Answer: x = -29
Step-by-step explanation:
-0.59x+0.39x=5.8
Collect like terms
-0.2x = 5.8
Divide both sides of the equation by -0.2
x = -29
Response to user in comments:
-0.59+0.39=-0.2 that is a fact
-0.2/-0.2=1 that is a fact
5.8/-0.2= - 29 that is a fact
These are the facts about the steps of the equation. Solving Steps for Solving the Equation