Answer:
Solving this system of linear equations by elimination we get x=-1 and y=-2
Option 1 is correct option.
Step-by-step explanation:
We are given equations:
[tex]y=x-1---eq(1)\\2x-y=0---eq(2)[/tex]
We need to solve by Elimination method.
Elimination method: Add or subtract the equations to get an equation in one variable.
Rearranging the equation 1 we get
[tex]-x+y=-1---eq(1)\\2x-y=0---eq(2)[/tex]
Add eq(1) and eq(2)
[tex]-x+y=-1\\2x-y=0\\------\\x=-1[/tex]
So, after eliminating y we get x=-1
Now finding y by putting x in eq(1)
[tex]y=x-1\\y=-1-1\\y=-2[/tex]
We get y=-2
So, solving this system of linear equations by elimination we get x=-1 and y=-2
Option 1 is correct option.
What is the value of cos(x/2) if tan x=1/2 and x is in quadrant III
Answer:
Step-by-step explanation:
The value of cos(x/2) is required.
The required value is [tex]\cos(x/2)=-\sqrt{\dfrac{5-2\sqrt{5}}{10}}[/tex]
TrigonometryThe given value is
[tex]\tan x=\dfrac{1}{2}[/tex] where x is in quadrant III.
From trigonometric identities we have
[tex]\sec^2x=1+\tan^2x\\\Rightarrow \sec^2x=1+(\dfrac{1}{2})^2\\\Rightarrow \sec^2x=\dfrac{5}{4}\\\Rightarrow \cos^{2}x=\dfrac{4}{5}\\\Rightarrow \cos x=\dfrac{2}{\sqrt{5}}[/tex]
If x lies in quadrant III then x/2 lies in quadrant II.
Cos is negative in quadrant III so,
[tex]\cos x=-\dfrac{2}{\sqrt{5}}=-\dfrac{2\sqrt{5}}{5}[/tex]
[tex]\cos \dfrac{x}{2}=\pm \sqrt{\dfrac{1+\cos x}{2}}\\ =\pm\sqrt{\dfrac{1-\dfrac{2\sqrt{5}}{5}}{2}}\\ =\pm\sqrt{\dfrac{5-2\sqrt{5}}{10}}[/tex]
Since, x/2 lies in the second quadrant and cos (x/2) is negative.
The required value is [tex]-\sqrt{\dfrac{5-2\sqrt{5}}{10}}[/tex]
Learn more about trigonometry:
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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
-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
*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!!!!
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
What is the slope of the line that passes through the points (-8, 3) and (-8, 5)?
Answer:
The slope is undefined
Step-by-step explanation:
Slope (m) = infinity (undefined)
θ = π = 90°
2
distance (d) = 2
ΔX = 0
ΔY = 2
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.
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.
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:
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
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!
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
Suppose a system of equations was solved my elimination and the resulting equation was 0=3. Which of the following statements is/are true.
a. The slopes of the two equations in the system are the same but their y-intercepts are different.
b. The system is an independent system.
c. The graphs of the two equations would intersect at the point (0,3).
Answer:
a. The slopes of the two equations in the system are the same but their y-intercepts are different.Step-by-step explanation:
The system resulting in equation 0=3 means:
There is no solutionThe lines are parallel as no intersectionCorrect choice is:
a. The slopes of the two equations in the system are the same but their y-intercepts are different.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.
Learn more about the surface area here:
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Please help me out!
Can someone please please help me. ?????
Answer:
#1
x intercept is -5
y intercept is -5
#2
y=8x
Step-by-step explanation:
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:
WILL MARK BRAINLIEST!!! Can someone help me wit dis question?
Given y = 9x - 4, what is the y-intercept?
a.) 4
b.) -4
c.) 9
Answer:
B.) -4
Step-by-step explanation:
y=mx+b
b is equal to the y-intercept.
Answer:
-4
Step-by-step explanation:
The slope intercept form is y = mx + b.
m = slope
b = y-intercept
since b = -4, the y-intercept is -4
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
WILL GIVE BRAINLIEST
WHAT IS 2+2
RIGHT AWNSER WINS/ HINT 4+18
Answer:
2+2=4
4+18=22
Step-by-step explanation:
Simplify (1/2)4. Plz answer fast
Answer: 2
Step-by-step explanation: 1/2 x 4 = 4/2 = 2/1 = 2.
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
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°
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°
Please answer correctly !!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!
Answer:
92 degrees
Step-by-step explanation:
<HEF and <AED are vertical angles.
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.
Help me please!?!?!?!?????
Answer:
1
Step-by-step explanation:
Please help this is due today :)
ill mark brainlest if right
Answer:
I am super sure its A and C
Hope this helps :D
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