Answer:
hi
Step-by-step explanation:
Answer:
The true statements are:
the first statement: Systems A and C have the same solution
the fourth statement: System C simplifies to 2x - 3y = 4 and 4x - y = 18
the fifth statement: Systems A and B have different soltuoins.
Explanation:
1) The first statement: systems A and C have the same solutiotn: TRUE
The fourth statement proves that that the two systems are equivalent which means that both have the same solution.
2) The second statement: All three systems have different solutions: FALSE
The fourth statement proves that the systems A and C have same solution, so this second statement is false.
3) The third statement: Systems B and C have the same solution: FALSE
You can solve the two systems and will find the solutions are different
Solution of system B.
3x - 4y = 5
y = 5x + 3
replace y = 5x + 3 in the first equation => 3x - 4(5x + 3) = 5
=> 3x - 20x - 12 = 5
=> - 17x = 5 + 12
=> -17x = 17
=> x = - 17 / 17
=> x = - 1
y = 5x + 3 = 5(-1) + 3 = - 5 + 3 = - 2
=> solution x = -1 and y = -2
Solution of system C.
2x - 3y = 4
12x - 3y = 54
subtract
4) fourth statement: System C simplifies to 2x - 3y = 4 and 4x - y = 18 by dividing the second equation by three: TRUE
Look:
Second equation of system C = 12x - 3y = 54
Divide by 3:
12x - 3y 54
----------- = -----
3 3
Distributive property:
12x 3y
------ - ----- = 18
3 3
4x - y = 18, which is the same second equation of system A, so the system C simplifies to the same system A, which is 2x - 3y = 4 and 4x - y = 18.
5) The fifth statement: systems A and B have different solutions: TRUE
You can solve the two systems and will find the solutions are different
Solution of system A:
2x - 3y = 4
12x - 3y = 54 since it is equivalent to 4x - y = 18
-------------------
12x - 2x = 54 - 4 subtracting the first equation from the secon
10x = 50 adding like terms
x = 5 dividing by 10
From 2x - 3y = 4 => 3y = 2x - 4 = 2(5) - 4 = 10 - 4 = 6
=> y = 6 / 3 = 2
=> x = 5, y = 2
Solution of system B.
3x - 4y = 5
y = 5x + 3
replace y = 5x + 3 in the first equation => 3x - 4(5x + 3) = 5
=> 3x - 20x - 12 = 5
=> - 17x = 5 + 12
=> -17x = 17
=> x = - 17 / 17
=> x = - 1
Which is enough to prove that the two systems have different solutions.
(10-x)(3x -9)=0
NEED HELP ASAP
Answer:
Step-by-step explanation:
Since the expressions are multiplied, for the product to equal zero, one term or another has to equal 0 because 0 times anything is zero.
(10-x)(3x-9)=0 when
10-x=0, x=10
3x-9=0, x=9/3=3
So there are two solutions when x=3 and x=10
The sum of two numbers is 8. Two times the larger number plus four times the smaller number is 8. Find the numbers.
Answer: 12 and -4
Step-by-step explanation:
Assume the larger number is x and the smaller one is y.
In that case the relevant simultaneous equations are:
x + y = 8
2x + 4y = 8
Use substitution to find relative value of y:
x + y = 8
y = 8 - x
Use to solve equation:
2x + 4y = 8
2x + 4(8 - x) = 8
2x + 32 - 4x = 8
2x - 4x= 8 - 32
-2x = -24
x = -24 / -2
x = 12
y = 8 - x
= 8 - 12
= -4
i need help quickly guys
Answer:
5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
Pythagorean Formula:
a² + b² = c²
Given:
a = 3
b = 4
Work:
a² + b² = c²
3² + 4² = c²
9 + 16 = c²
c² = 25
[tex]\sqrt{c^2} =\sqrt{25}[/tex]
c = 5
Un sure on this if someone could answer would be great !
Answer:
x= 5/2 x= (±sqrt13)/2
Step-by-step explanation:
The area of a square is 81 cm2 . Find the perimeter of the square. Round to the nearest tenth and just write the numerical answer with no labels or variables.
Answer:
36
Step-by-step explanation:
9 times 4
The perimeter of a square is 100 cm. How long is one diagonal?
The length of a rectangle is 45 inches and the width is 8 inches. A similar rectangle has a width of 24 inches what is the perimeter of the second rectangle? Show your work
Answer: The answer is 318
Step-by-step explanation:
find the value of given expression
[tex] \sqrt{564 \times 564} [/tex]
Answer:
√(564×564)=√564²=±564
Answer:
[tex]±564.[/tex]
Step-by-step explanation:
[tex] \sqrt{564 \times 564} [/tex]
[tex] \sqrt{ {564}^{2} } [/tex]
[tex]±564.[/tex]
if m=2 , find the value of 5-m
Answer:
5 - 2 = 3
Step-by-step explanation:
Replace m with 2 since m=2
Answer:
3
Step-by-step explanation:
If m=2, then 5 - m(2) is 3, because 5 - 2 is 3.
Find the area plz plz
Answer:
57.475 ft2
Step-by-step explanation:
12.1x9.5= 114.95
114.95/2= 57.475
Answer:
[tex]\Huge\boxed{57.475 ft^2}[/tex]
Step-by-step explanation:
Hello there!
The following figure shown is a triangle
The area of a triangle can be calculated using this formula
[tex]A=\frac{bh}{2}[/tex] where b = base and h =height
The height of the triangle is 12.1 ft and the base length is 9.5ft
Knowing this information all we have to do is plug in the values into the formula
[tex]A=\frac{12.1*9.5}{2} \\12.1*9.5=114.95\\\frac{114.95}{2} =57.475\\A=57.475[/tex]
So we can conclude that the area of the triangle is 57.475 square feet
what is the answer to this
Answer:
IDEK
Step-by-step explanation:
Answer: i d k
Step-by-step explanation:
Rick bought a car for $17,500. Each year, the car's value decreases by 20%. At this rate, what can Rick expect the value of his car to be in 6 years? *
$1.12
$15,502.24
$4,587.52
$17,380.00
Answer:
His car would be worth $15,502.24
Step-by-step explanation:
20% of 17,500 is 350. 350 x 6 = 2,100. 17,500 - 2,100 = 15,400. But that is not an answer choice so be go to the closest number which is $15,502.24
Bob challenges Alice to a swimming race from one end of a 10-meter pool tothe other. Bob is so confident he will win that he lets Alice use the starting blockbecause diving in from there will give her a lead. He will start in the pool at the wall.Alice accepts the offer. At time t=0 seconds, Alice hits the water 2 meters out fromthe edge of the pool at a constant speed of 1 meter per second, which she maintainsthroughout the race. Meanwhile, at t=0, Bob starts off from rest at the pool walland is speeding up. Bob’s distance from the wall at any given time, t, is given byBt()=0.25t2, where Bt() measures the distance from the starting point at the poolwall. Will Bob be able to beat Alice to the opposite end of the pool? Is it possible forBob to win, and if so, how long would the pool need to be for him to win?
Here is the original
23/67
Answer:
0.343283582
HOPE IT HELPS
Work out the size of angle x.
38°
х
101°
The size of the angle 'x' is 117°
The external angle of a triangle:An external angle of a triangle is an angle formed by extending one side of the triangle and intersecting with the extension of another side.
In a triangle, the measure of an external angle is equal to the sum of the measures of the two opposite interior angles.
Here we have a triangle
Let the ABC be the triangle as given in the picture
=> ∠A = 38°
From the baseline BC
=> Measure of B = 180° - 101° = 79°
As we know
In a triangle, the measure of an external angle is equal to the sum of the two opposite interior angles
=> x = ∠A + ∠C
=> x = 38° + 79°
=> x = 117°
Therefore,
The size of the angle 'x' is 117°
Therefore,
Learn more about Triangles at
https://brainly.com/question/9934544
#SPJ1
Why is the surface area of a triangular prism measured in square units rather than in cubic units? Surface area measures the area of the faces. Area is a -dimensional measurement, so it is measured in square units.
Answer:
Step-by-step explanation:
Area of a given figure is a 2 dimensional measurement which describes the amount of space occupied by the figure, while volume of the figure describes its capacity in a 3 dimensional measurement.
The surface area of a triangular prism is the sum of the areas of all its surfaces. Since the surface area considers the areas of the figure not volume, therefore the surface area of the triangular prism is measured in square units not cubic units.
Determine the equation of the line based on the graph.
(write in slope-intercept form)
Submit
Answer:
5/2
Step-by-step explanation:
rise over run | you rise up 5 everytime and you go right 2 everytime
Determine which is the graph of the given function.
-0.57+ 5 if x <1
=
-0.5(x + 5) if x 1
Please help I don’t understand
Answer:
QS is a triangle. Because QS are connected and split down the middle which made a triangle.
Step-by-step explanation:
The number of days, d, required to complete a job varies inversely as the number of workers, w, on the job.
If it takes 9 days for 8 workers to complete a job, then how many workers would it take to do the job in 18 days?
Answer:
4
Step-by-step explanation:
this one is an easy relationship- if you have double the time (18 vs9), then you need half the workers (8/2)
In the following equation, what number represents the y-intercept?
y = 2x – 10
1) 0
2) -1
3) 2
4) 10
Answer:
4) 10
Step-by-step explanation:
The number with x is slope and the other number is y-intercept so it's 10
find the value of given expression
[tex] \sqrt{65 \times 65} [/tex]
Answer:
[tex]\huge \colorbox{blue}{65}[/tex]Step-by-step explanation:
to understand thisyou need to know about:PEMDAStips and formulas:order of PEMDAS
parenthesesexponentmultiplication ordivisionaddition orsubstractionleft to rightlet's solve:simplify multiplication:
[tex] \displaystyle \: \sqrt{ {65}^{2} } [/tex]
use [tex]\sqrt{x^m}=x^{\frac{1}{2}\times m}[/tex] to simplify:
[tex] \displaystyle \: = {65}^{2 \times \frac{1}{2} } \\ = {65}^{ \cancel{ \: 2 }\times \frac{1}{ \cancel{ \: 2}} } \\ = {65}^{1} [/tex]
as we know x¹=x
therefore our final answer is
65Answer:
[tex]65[/tex]
[tex] \sqrt{65 \times 65} \\ = 65[/tex]
find the value of x in the triangle shown below
x =____
help besties, i’m not smart
Answer:
x = 96
Step-by-step explanation:
x = 180 - (34 + 50)
x = 180 - 84
x = 96
You are smart, remember that! You just have a little trouble with this problem, that's all!
Hope that helps!
-Sabrina
The area of a circle is 30.85cm2. Find the length of the radius rounded to 2 DP
Answer: 3.13
Step-by-step explanation:
Use slope-intercept method help me
Answer:
y=4x+3
Step-by-step explanation:
Find the intercept - that is 3
Find the slope - that is 4
The y-intercept of y=2.5^x-6
Answer:
-6
Step-by-step explanation:
-6 is the y-intercept :)
Vanessa bought some cupcakes and brownies at the school bake sale.
She bought 25 items in total and spent $40.
Each cupcake costs $2 and each brownie costs $3.
Answer:
6 brownies and 2 cupcakes.
Step-by-step explanation:
24. BLOCKS Building blocks are in the shape of a cube. The dimensions of the building blocks are based on the length of the packaging box, which is defined as x centimeters, where x is the length of the packaging box. What is the volume of a building block in terms of x?
Answer:
x³
Step-by-step explanation:
Given that length of packaging box = length of block = x
The volume of a box is given as : a³
Where a is the side length ;
In this scenario, x = a
Hence, volume of Block = x³
Answer:
Step-by-step explanation:
11728x6
cm3
PLEASE EMERGENCY THAN YOU
Answer:
135°Step-by-step explanation:
This is a cyclic quadrilateral.
It has a property of opposite angles being supplementary.
A and C are supplementary angles:
3x + 6 + x + 2 = 1804x + 8 = 1804x = 172x = 43m∠A = 3x + 6 = 3*43+ 6 = 135°
Answer:
<A=135°
Step-by-step explanation:
3x+6+x+2=180
sum of two opposite angle of the cyclic quadrilateral is 180
4x=180-8
x=172/4=43°
<A=3×43+6=135° is your answer
Mark is making a model tent for his project,
the area of the base is 56 square inches.
Which of the following is the best ESTIMATE
for the volume of the tent? A-756 inches, B-
745 inches, C-1500 inches, D-800 inches?
Answer:
756 inches
Step-by-step explanation:
1. you have to multiply 27 by 56 and there's your answer.