Answers
Given system of linear equations are ,
x + y = 2 -3x + y = 2And we need to find the Solution of the linear equation . So let's Firstly number the equations .
[tex]\large{\red{\frak{ Given}}}\begin{cases} \sf x + y = 2\qquad ..........(i) \\\\\sf -3x + y = 2 \qquad ..........(ii) \\\end{cases}[/tex]
→ Multiplying equⁿ (i) by 3 ,
=> 3 ( x + y ) = 2*3
=> 3x + 3y = 6
→ Adding the two equations ,
=> 3x + 3y -3y + y = 6 + 2
=> 4y = 8
=> y = 8/4
=> y = 2
→ Put y = 2 in (i) ,
=> x + y = 2
=> x + 2 = 2
=> x = 2- 2
=> x = 0
★ Hence the required solution is ( 0 , 2 ) .Related Questions
You deposit $3000 in an account earning 5% interest compounded monthly. How much will you have in the account in 15 years?
Answers
Answer:
9000
Step-by-step explanation:
Answer:
6236.78454 or 6236.78
Step-by-step explanation:
Use formula A=P(1+r)^t
A=3000(1+0.05)^180/12
*convert 15 years to moths* 180 months
A=3000(1.05)^180/12
A=3000(2.07892818 )
A=6236.78454 or 6236.78
Hope this helps ^-^
What is the value of this expression?
8-4x3^3+11
Answers:
119
23
-89
-17
Answers
[tex]8 - 4( {3}^{3} ) + 11 \\ 8 - 4(27) + 11 \\ 8 - 108 + 11 \\ 8 - 97 \\ - 89[/tex]
The angle of elevation to the top of a flagpole is 50 degrees if the angle of elevation was measured 24 m from the flagpoles base wich expression can be used to find the height of the flagpole
Answers
Answer:
Tan 50 = H/24
Step-by-step explanation:
The set up will give a right angled triangle;
Given the following
angle of elevation = 50degrees
Distance of elevation from the flagpole base = 24m (Adjacent)
Required
Height of the flagpole (Opposite) = H
Using the SOH CAH TOA identity
Tan theta = opposite/adjacent
Tan 50 = H/24
H = 24tan50
H = 24(1.1918)
H = 28.60
Hence the required expression is Tan 50 = H/24 where H is the height of the flagpole
The height of the flagpole is 28.60.
Given
The angle of elevation to the top of a flagpole is 50 degrees.
The angle of elevation was measured 24 from the base of the flagpole.
The angle of elevation;The angle of elevation of the sun is the angle formed between the horizontal line and your line of sight when you look at the sun.
Let the height of the flagpole be H.
Then,
The height of the flagpole is given by;
[tex]\rm Tan\theta=\dfrac{Opposite \ side}{Adjacent \ side}\\\\[/tex]
Substitute all the values in the formula;
[tex]\rm Tan\theta=\dfrac{Opposite \ side}{Adjacent \ side}\\\\ \rm Tan50=\dfrac{H}{24}\\\\H = 24 \times tan50\\\\H = 24\times 1.91\\\\H=28.60[/tex]
Hence, the height of the flagpole is 28.60.
To know more about the angle of elevation click the link given below.
https://brainly.com/question/12992313
BRAINLYIST to first person to answer is correct.
Which graph shows the solution set for 2 x + 3 greater-than negative 9?
A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the left of the circle is shaded.
A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the right of the circle is shaded.
A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the left of the circle is shaded.
A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the right of the circle is shaded.
Answers
Answer:
i think its A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the right of the circle is shaded.
Step-by-step explanation:
So , the value of x is greater then -6 . So , Correct option is A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the right of the circle is shaded.
distance of -2,-6 and 4,2
Answers
Step-by-step explanation:
distance = -6-(-2) and 4-2
-6+2 and 2
-4 and 2 is distance
Answer:
[tex]d = \sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1})^{2} }[/tex]
d = √(4 - (-2))² + (2 - (-6))²
d = √36 + 64
d = 10
A beverage manufacturer performs a taste-test and discovers that people like their fizzy beverages best when the radius of the bubbles is about 0.3 mm. According to the formula below, what would be the volume of one of these bubbles? r = root(3, (3V)/(4s))
Answers
V = 4(3.14) (0.3)³ / 3
V = 0.11 mm³
Option A
Evaluate 8x^2 + 2x + 5, when x =7
Answers
Answer:
432
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
8x² + 5x + 5
x = 7
Step 2: Evaluate
Substitute in x: 8(7)² + 5(7) + 5Evaluate exponents: 8(49) + 5(7) + 5Multiply: 392 + 35 + 5Add: 427 + 5Add: 432Please answer and explain I’ll mark brainliest!!!!!
Answers
Answer:
See below
Step-by-step explanation:
Problem 1
If n is the smallest of the consecutive integers, the next integer would be n+1.
Problem 2
The equation is terms of n is going to be
s = n + n + 1 + n + 2 + n+3
Problem 3
Collect like terms on the right
s = 4n + 6
Problem 4
4n + 6 = s Subtract 6 from both sides
4n = s - 6 Divide by 4
n = (s - 6)/4
Problem 5
Solve for n when s = 2174
n = (2174 - 6)/4
n = 2168 / 4
n = 542
check
n = 542
n + 1 = 543
n + 2 = 544
n + 3 = 545
Total 2174 Just as it should
Throwing a ball describes what kind of graph.
Answers
Answer:
parabola
Step-by-step explanation:
The path followed by a ball can be modeled by a graph.
Throwing a ball is a parabola or quadratic graph.
When a ball is thrown, the path it follows can be represented by:
[tex]\mathbf{f(x) = ax^2 + bx + c}[/tex]
or
[tex]\mathbf{f(x) = a(x - h)^2 + k}[/tex]
The above equations are functions of a parabola or quadratic graph.
Hence, throwing a ball is a parabola or quadratic graph.
Read more about graphs at:
https://brainly.com/question/9915751
-3x^2+ 3
What is the difference quotient
Answers
Answer:
-6x - 3h
Step-by-step explanation:
Write as a function.
[tex]f(x)=-3x^{2}+3[/tex]
Consider the difference quotient formula.
[tex]\frac{f(x+h)-f(x)}{h}[/tex]
Find the components of the definition.
[tex]f(x+h)=-3h^{2}-6hx-3x^{2}+3\\f(x)=-3x^{2}+3[/tex]
Plug in the components.
[tex]\frac{f(x+h)-f(x)}{h}=\frac{f(x+h)=-3h^{2}-6hx-3x^{2}+3}{h}[/tex]
Simplify
[tex]\frac{3h(-h-2x)}{h}[/tex]
-6x - 3h
good luck, i hope this helps :)
3 is less than w, and 8 is greater than w
Answers
Answer:
Whats the question?
Step-by-step explanation:
Srry i couldnt help
Answer: 3 < w < 8
Step-by-step explanation:
If 3 is less than w you would write that as 3 < w.
Now you have 8, which is greater than w and that is written as 8 > w or w < 8.
Therefore, 3 < w < 8
What is the y-intercept of a line that passes through the points (1-7) and (5-25)?
Answers
Given:
A line passes through the points (1,-7) and (5,-25).
To find:
The y-intercept of the line.
Solution:
The line passes through the points (1-7) and (5-25). So, the equation of the line is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-(-7)=\dfrac{-25-(-7)}{5-1}(x-1)[/tex]
[tex]y+7=\dfrac{-25+7}{4}(x-1)[/tex]
[tex]y+7=\dfrac{-18}{4}(x-1)[/tex]
[tex]y+7=-4.5(x-1)[/tex]
Subtracting 7 from both sides, we get
[tex]y=-4.5x+4.5-7[/tex]
[tex]y=-4.5x-2.5[/tex]
Putting x=0, we get
[tex]y=-4.5(0)-2.5[/tex]
[tex]y=0-2.5[/tex]
[tex]y=-2.5[/tex]
Therefore, the y-intercept of the given line is -2.5 and the vertex form of (0,-2.5).
Help please
Look at picture
Supplementary angles
Answers
Answer:
Both are supplementary angles so
(2x-3) +71 = 180
2x - 3= 180 - 71 = 109
2x = 109 +3 =112
X = 112 / 2= 56
x = 56
Which is closest to the quotient 4,367 ÷ 0.004 A. 1,000 B. 10,000 C. 100,000 D. 1,000,000 explain how you got the answer pls btw 6th grade
Answers
A calculator would answer this, but i’m assuming your asked to make a estimate without a calculator. An easier way to look at dividing by fractions would be multiplying by its reciprocal
Since this fraction is .004 or 4/1000 the reciprocal would be 1000/4, or 250.
Since 250 times 4,367 is still a relatively hard multiplication problem. I would just make the 250, 200.
Now that the problem is simplified, a trick when multiplying any number divisible by 10, is to take the zeros out, multiply the number, then add them back.
So 4,367 x 2 = about 8,600, then adding two 0s from the 200, that is now 860,000.
Looking at the answers the closest to this is 1,000 so the answer is D
Answer:
D) 1,000,000
Step-by-step explanation:
Here it is.
A isosceles triangle
B right triangle
C equiangular triangle
D equilateral triangle
Answers
please follow me
Subtract the sum of 12xy –10y2 –18x2 and 9xy + 12y2 + 14x2 from the sum of
xy + 2y2 and 3y2 – x2.
Answers
Answer: -20xy + 3y² + 3x²
Step-by-step explanation:
(xy + 2y² + 3y² - x²) - (12xy - 10y² - 18x² + 9xy + 12y² + 14x²)
(xy + 5y² - x²) - (21xy + 2y² - 4x²)
xy + 5y² - x² - 21xy - 2y² + 4x²
-20xy + 3y² + 3x²
A triangle with side lengths of 6 meters, 9 meters and 8 meters
A. No triangle
B. Unique triangle
C. More than one triangle
Answers
Answer:
B). Unique Triangle
Step-by-step explanation:
This lengths make a right triangle therefore it is unique.
Answer:
the answer is b. because if there is a 90 angle it is a unique triangle
Step-by-step explanation:
The following are the temperatures of 10 days in winter in °C. -5, 1, -2, 7, -3, 9, 7, -5, -2, -5 Work out the mean temperature.
Answers
Answer:
probably 0.2 and sorry if wrong
mean = adding all numbers together then divide by the amount of numbers there is
so -5 + 1 + -2 +7+-3+9+7+-5+-2+-5 = 2 then divide by 10 (cause 10 numbers)
answer = 0.2
Need help immediately I will give brainilest
Answers
Answer:
the answer is 12
I think
Find x and Find m<MNO please help fast
Answers
9x+10=90
X=8.8
5x+7=8.8
X=2.7 or MNO=2.7
PLEASE HELPPPP! Emily is entering a bicycle race for charity. Her mother pledges $0.80 for every 0.5 mile she bikes. If Emily bikes 8 miles, how much will her mother donate?
Answers
Answer: $12.80
Step-by-step explanation:
:)
Answer:
$12.80 donated money if she bikes 8 miles. solved by finding out how much money she'll get in a mile add .80+.80 and get $1.60. this is way easier to set up equation instead if doing it by half mile. equation is y=1.6(x) // y is money donated, x is $1.60
Prokaryotic cells are cells that _____. Select all that apply.
1.are simple
2.have no nucleus
3.have cell walls with peptidoglycan
4.have membrane-covered organelles
Answers
probably 1 and 2, I'm only in 6th grade tho so I forgot (love the pfp btw)
A ladder is leaning against a building so that the distance from the ground to the top of the ladder is one foot less than the length of the ladder. Find the length of the ladder if the distance from the bottom of the ladder to the building is 5 feet.
A right triangle with the hypotenuse measuring x and one leg measuring x minus 1.
(1 point)
11 feet
14 feet
12 feet
13 feet
Answers
Answer:
Length of ladder (hypotenuse) = 13 ft
Step-by-step explanation:
Given:
Length of base (base) = 5 ft
Length of ladder (hypotenuse) = a
Distance between ground and ladder top (perpendicular) = a - 1
Find:
Length of ladder
Computation:
a² = 5² + (a-1)²
a² = 25 + a² - 2a + 1
2a = 26
Length of ladder (hypotenuse) = 13 ft
Adult tickets cost $9 each and student tickets cost $6 each. A total of 29 tickets were sold worth $210. How many adult tickets were sold?
Answers
Answer: 12 adult tickets where sold
Step-by-step explanation:
Combine the like terms to create an equivalent expression:
-3x - 6+ (-1)
Stuck? Watch a video or use a hint.
Answers
Answer: -3x-7
Step-by-step explanation:
Find the area of the trapezoid at the right
Answers
Answer:
A = 15
Step-by-step explanation:
A = [tex]\frac{a+b}{2}h[/tex]
A = (3 + 7 ÷ 2) ÷ 3
A = 15
good luck, i hope this helps :)
Chapter 6 Study Guide
Tickets for a school play cost $6 for adults and $4 for students. At the end of the play, the school sold a total of 60 tickets
and collected $360
Answers
Answer:
what is the question
Step-by-step explanation:
What fraction or whole number on the number line 1/9 closest to?
Answers
Answer:
i dont understand either
Step-by-step explanation:none
Help please I’ll give u brainliest but pls explain how as well
Answers
Answer:
Its 9!
Step-by-step explanation:
6×3=18
18/2=9
Hope this helps and don't forget to follow!
What does 253.7 / 6 equal ?