Answers
Answer:
(- 3, 2 )
Step-by-step explanation:
Given the 2 equations
x + 3y = 3 → (1)
- 2x + 3y = 12 → (2)
Subtract (1 ) from (2) term by term to eliminate y
- 2x - x + (3y - 3y) = 12 - 3
- 3x = 9 ( divide both sides by - 3 )
x = - 3
Substitute x = - 3 into either of the 2 equations and solve for y
Substituting into (1)
- 3 + 3y = 3 ( add 3 to both sides )
3y = 6 ( divide both sides by 3 )
y = 2
solution is (- 3, 2 )
Related Questions
What is x+y
Explain your answer
Answers
Answer:
x + y = 0
Step-by-step explanation:
The problem states that variables x and y are the same distance away from 0 on the number line. Since x is at 4, it is 4 units away from 0. Assuming that x and y cannot be the same number, y would have to be at -4, because that is the only other number besides 4 that is 4 units away from 0.
If x and y can be the same number another possibility would be that y is also 4 making x + y = 8.
One fifth of a number is subtracted from one fourth of the number,the result is 8 more than 10.Find the number
Answers
Answer:
4
Step-by-step explanation:
Let the number be x.
According to the question,
[tex]\dashrightarrow \sf { \dfrac{1}{4}x - \dfrac{1}{5}x= 8 + 10 } \\[/tex]
[tex]\dashrightarrow \sf { \dfrac{5x + 4x}{2}= 18 } \\[/tex]
[tex]\dashrightarrow \sf { \dfrac{9x}{2}= 18 } \\[/tex]
[tex]\dashrightarrow \sf { 9x = 18 \times 2 } \\[/tex]
[tex]\dashrightarrow \sf { 9x = 36 } \\[/tex]
[tex]\dashrightarrow \sf { x =\cancel{ \dfrac{36}{9} }} \\[/tex]
[tex]\dashrightarrow \underline{\boxed{\pmb { \frak {x = 4 }}}} \\[/tex]
The number is 4.
f (x) = -x^2 + x + 14 Find f(2)
Answers
f(x) = -x² + x + 14
f(2) = -2² + 2 + 14 = -4 + 16 = 12
f(2) = 12
Answer:
12
Step-by-step explanation:
f (x) = -x^2 + x + 14
Let x= 2
f(2) = - (2)^2 +2+14
= -4 +2+14
= -2 +14
= 12
If you buy 12 pounds of lettuce for $96 what is the rate which one pound of lettuce costs
Answers
96$ divided by 12 = 8
Thats how you would get the rate and maybe you can apply this method to other questions if there are any?
Answer:
$8
Step-by-step explanation:
$96 divided by 12
WILL GIVE BRAINLIEST
[tex]\frac{x^2+10x+25}{8x+40}[/tex]
What is an equivalent expression in the lowest terms?
Answers
The final answer is (x+5)/8
Hope this helps please brainliest.
8m-12-6m+4m help I suck at math
Answers
2m - 12 + 4m =
6m - 12
8m+4m-6m-12
12m-6m-12
12m-6m
-6m
Solve the equation. The letters a, b, and c are constants and a≠0
ax-76 = 9c
i’m confused bc it doesn’t tell me what i’m solving for. please help! thank you!
Answers
Answer:
Step-by-step explanation:
Probably it's asking for x so you have to find x in term of a and c
ax = 9c+76
x = 9c+76/a
Answer:
Step-by-step explanation:
I can see your problem. That's one of those questions where the directions are part of the problem. I think you are supposed to solve for x.
ax-76 = 9c Add 76 to both sides
ax = 9x + 76 Divide by a
x = (9x + 76)/a
Geometry - Triangle d) In the given figure, BE = EC and CE is the bisector of ZACB. Prove that ZBEC = ZACD. E B D С
Answers
Answer:
Let m∠BCE = x
Then m∠ACE = x as well since CE is bisecting ∠ACB.
m∠ACD + x + x = 180° ⇒ m∠ACD = 180° - 2xConsider ΔBEC
Since BE = EC, the opposite angles are congruent:
∠BCE ≅ ∠CBEThen:
m∠CBE = m∠BCE = xFind the angle BEC:
m∠BEC = 180° - (x + x) = 180° - 2xComparing the above we see that:
m∠BEC = m∠ACDprovedI need help ASAP!!! Please explain how to solve the answer.
Answers
Answer:
Does the answer help you?
Please choose my answer as a brainliest answer and please rate.
It take a few minutes to solve your question.
If angle DCA measures 65 degrees, then angle ACB measures _____ degrees.
90
25
65
Answers
DCB form a right angle which is 90 degrees.
The two inside angles need to equal 90
ACB = 90-65 = 25
Answer: 25
Answer:
25
Step-by-step explanation:
its correct
If A = -x + 2x - x + 1 and B = x² + 5, find A + B.
Answers
Answer:
6 + x^2
Step-by-step explanation:
Plug in the values for A and B.
(-x + 2x - x + 1) + (x^2 + 5)
Remove the parenthesis. Combine like terms.
-2x + 2x = 0
1 + x^2 + 5
Combine like terms again.
6 + x^2
The library has 2,730 books. If each shelf can hold 30 books, how many shelves will the library need to hold all of its books?
Answers
Answer:
2730÷30=91
Step-by-step explanation:
take the number of books and divide it by the number of books each shelve can hold and ull get ur answer
35. What is the point-slope form of the
equation for the line with a slope of
-2 that passes through (1,4)?
A. y + 1 = -2(x + 4)
B. y - 1 = -2(x - 4)
C. y + 4 = -2(x + 1)
D. y - 4 = -2(x - 1)
Answers
Answer:
D) y - 4 = -2 ( x - 1 )
Step-by-step explanation:
Point-slope form is y - y₁ = m ( x - x₁ )
so you just plug in your points, hope this helped
………………………….
What are the solutions to the equation f(x)=g(x)?
A) x= -3, 4
B) x= -4, 2.5
C) x= -0.8, 2.5
D) x= 8, -8
Answers
Answer:
B
Step-by-step explanation:
The points where f(x) intersects g(x) are - 4 and 2.5. These points are the solution of the equation f(x)=g(x)
Answer:
(-4,8) and ( 2.5, -8)
Step-by-step explanation:
The solutions are where the two graphs intersect
They intersect at x = -4 and y = 8 and at x = 2.5 and y = -8
(-4,8) and ( 2.5, -8)
an obtuse angle is an angle which is _______
Answers
Answer:
an obtuse angle is an angle that is more than 90 degrees
Step-by-step explanation:
PLZ HELP, GIVING BRAINLIEST!!!
Find the length of the intercepted arc.
pi/6, r = 2.5
Answers
Answer:
4pi
Step-by-step explanati
Which models show 60%? Check all that apply.
Answers
Answer:
OPTION A AND B.
AS OPTION A IS 3/5=6/10=60%
Option C=60/100=60%
Answer:
the first and the last option
Step-by-step explanation:
In the first option 3/5 of the rectangle are filled in. if you divide 3 by 5, you will get 0.6, which when converted in to percent is equal to 60%
3/5 = 0.6
0.6 = 60%
*to convert decimals into percent, you just have to move the decimal point 2 places to the right and add the present sign*
in the second option 5 out of the 10 rectangles inside the square are filled in. that means that 5/10 of the square are filled in, the model shows 50%
5/10 = 1/2 = 0.5 = 50%
in the third model 6 out of the 10 rows in the square are filled in. that means that 6/10 of the square are filled in which is equal to 60%
6/10 = 0.6 = 60%
hope this helps! if you have any questions, let me know!
I don’t know how to do this, please help! :) (10-12 or even just 10) I’m so tired and this is due in the morning pls help 25 points
Answers
Answer:
10) 3. 88 mi/hr11) 68. 57 mi/hrStep-by-step explanation:
10. RunningAverage speed formula: v= d/tgivens: 3 2/5 miles and 7/8 hour• change 3 2/5 to an improper fraction17/5• divide the givens by receprocating 7/8 and changing the sign to multiplication17/5 × 8/7= 136/35= 3. 88 mi/hr11. DrivingSpeed formula: s= d/tgivens: 120 miles and 1 3/4 hours• change 1 3/4 to an improper fraction7/4• divide the givens by receprocating 7/4 and changing the sign to multiplication120/1 × 4/7= 480/7= 68. 57 mi/hr[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
Find the value of x. Round to the nearest tenth
Answers
Step-by-step explanation:
use cos since we're given the adjacent and asked to find the hypothenus.
cos 33° = 6/x
cross multiply
xcos33° = 6
divide both sides by cos 33°
(cos 33 is approximately 0.8387)
then x = 7.15
Answer:
[tex]x \approx 7.2[/tex]
Step-by-step explanation:
The given triangle is a right triangle this is indicated by the box around one of its angles, signifying that the angle is a right angle. One of the properties of a right triangle is the right angle trigonometric ratios. these are a series of ratios that relate the sides and angles of a right triangle. Such ratios are as follows:
[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]
Please note that the sides named ([tex]opposite[/tex]) and ([tex]adjacent[/tex]) Are subjective and change based on the angle by which one refers to. However the side ([tex]hypotenuse[/tex]) indicates the side opposite the right angle, this side does not change its name.
In this case, one is given a (33) degree angle, and the measure of the side adjacent to is, (6). One is asked to find the measure of the hypotenuse (x). It would be most logical to use the ratio of cosine (cos). Substitute the given values in and solve for (x).
[tex]cos(\theta)=\frac{adjacent}{hypotenuse}[/tex]
[tex]cos(33)=\frac{6}{hypotenuse}[/tex]
Inverse operations,
[tex]cos(33)=\frac{6}{hypotenuse}[/tex]
[tex]hypotenuse=\frac{6}{cos(33)}[/tex]
[tex]hypotenuse \approx 7.15[/tex]
Find the value of x and y from the following figure.
plzz help
Answers
plz helppppp it's a constructed response!!!? :(
Answers
Step-by-step explanation:
the measure of the segment YZ
[tex] \sin(30) = \frac{yz}{50} \\ yz = 50 \times \sin(30) = 25[/tex]
YZ= 25 m
Use a calculator to find the mean of the
data. {22.1, 23.8, 20, 23.3, 20.2, 24.2, 21.8, 22.7, 21.2, 21.3, 21.7, 23.2, 19.1, 22.3, 22.1, 20.9, 20.7, 20.2, 23.3, 19.6, 20.7,
24.5}
Answers
The mean of the data is 21.6.
What is mean?The mean refers to the average of a set of values. The mean can be computed in a number of ways, including the simple arithmetic mean (add up the numbers and divide the total by the number of observations).
Given data
{22.1, 23.8, 20, 23.3, 20.2, 24.2, 21.8, 22.7, 21.2, 21.3, 21.7, 23.2, 19.1, 22.3, 22.1, 20.9, 20.7, 20.2, 23.3, 19.6, 20.7, 24.5}
Sum of observations = 22.1 + 23.8 + 20 + 23.3 + 20.2 + 24.2 + 21.8 + 22.7 + 21.2 + 21.3 + 21.7 + 23.2 + 19.1 + 22.3 + 22.1 + 20.9 + 20.7 + 20.2 + 23.3 + 19.6 + 20.7 + 24.5 = 478.9
Number of observations = 22
Mean = [tex]\frac{Sum \ of \ observations}{Number \ of \ observations}[/tex]
Mean = [tex]\frac{478.9}{22}[/tex] = 21.6
The mean of the data is 21.6.
Find out more information about mean here
brainly.com/question/23706022
#SPJ2
hi im back pls help me :) i'll give brainliest
Answers
Answer:
b
Step-by-step explanation:
y + 6 = -2(x - 4)
Step-by-step explanation:
We’re going to start off simple so we’re not going to write the graph in point-slope form yet, but let’s practice how to write it in slope-intercept form.
Thus, the question is already giving us a slope, which is something needed.
Slope-Intercept Form: y = mx + b where m = slope
Now solve for b which it means for y-intercept.
The y-intercept is always located at the y-axis when x = 0. In this case, b = 2
Now let’s place the dimensions of what we have so far
y = -2x + 2
Then we’re going to use the point for point-slope form.
Point-Slope Form: y - y1 = m(x - x1)
To write the graph in point-slope form, use the Slope-intercept form to fill out the dimensions.
Slope-Intercept Form: y = -2x + 2
With the point: (4, -6)
“That means 4 = x1 and -6 = y1)
Point-Slope Form: y + 6 = -2(x - 4)
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Answered by: doomdabomb
*All brainliest answers are appreciated and would mean a lot to me*
Jun made a round tablecloth for his kitchen table. The tablecloth is 4.5 feet in diameter. Approximately how much fabric did Jun use for the tablecloth?
Answers
Answer:
the correct answer is 16ft^2
URGENT‼️NEED HELP ASAP
What is the distance between the vertical asymptotes of the two graphs f(x) and g(x)?
Answers
According to the graph, is f even, odd, or neither?
Choose 1 answer:
a. Even
b. Odd
c. Neither
Answers
Answer:
a
Step-by-step explanation:
an even function is symmetrical about the y- axis
This graph has symmetry about the y- axis and so is Even
isjdhshsbwhjaa
Helppp plssss help meeee
Answers
Answer:
C. $1,260
Step-by-step explanation:
80 × 14.5 = 1,160
2,500 × 0.04 = 100
Answer:
C. $1260
Step-by-step explanation:
6. Solve for x!! please help!
Answers
x/2 = -7
=> x = -7 × 2
=> x = -14
Answer:
x=-14
Step-by-step explanation:
[tex]\frac{x}{2} =-7\\\\x=-14\\[/tex]
a car averaged 72 kph .on a trip if the car travelled for 9 hours how far did it go
Answers
648 km
Explanation:
d = v x t
d = 72 x 9
d = 648 km
Answer:
648 km
Step-by-step explanation:
distance travelled= speed * time
distance= 72kph * 9 hours
distance= 648 km
I WILL GIVE BRAINLIEST!! NO LINKS PLZ
Simplify.
Answers
Answer:
[tex] \large{ \tt{❃ \: S \: O \: L \: U \: T \: I \: O \: N \:❃ }}[/tex]
[tex] \large{ \tt{❊ \: S \: T \: E \: P \: S \: ❊}}[/tex]
[tex] \huge{ \tt{ \: \frac{4 \sqrt{6} }{5 \sqrt{3} } = \frac{4 \: \cancel{ \sqrt{6}} \: ^{\sqrt{2}} }{5 \: \cancel{\sqrt{3} }} }} = \: \boxed{\frac{4 \sqrt{2} }{5} }[/tex]
[tex] \large{ \boxed{ \boxed{ \tt{⤻ \: OUR \: FINAL \: ANSWER : \boxed{ \tt{ \frac{4 \sqrt{2} }{5}}}}}}} [/tex]
Note : In the second step , I divided √6 by √3 as a result of it , I got √2- Hope this helps! Let me know if you have any questions regarding my answer and don't hesitate to reach out to me if you need any other help! :)
