The value of the x is 2 and the value of the y is 0 in the system of equation 3y=x-2, y=-2x+4.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have a system of the equation:
3y=x-2 ..(1)
y=-2x+4 ...(2)
From the equation (2) take the value of y and plug in the equation (1)
3(-2x+4) = x -2
-6x + 12 = x - 2
7x = 14
x = 14/7
x = 2
Plug this value in the equation (2)
y = -2(2) + 4
y = 0
Thus, the value of the x is 2 and the value of the y is 0 in the system of equation 3y=x-2, y=-2x+4.
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What are the measures of ∠CED and ∠BCE in the figure?
Answer:
∠CED = 70°
∠BCE = 134°
Step-by-step explanation:
Finding z :
∠EDC = ∠ABC (Alternate angles)8z = 64z = 8Finding ∠CED :
∠CED = 9z - 2∠CED = 9(8) - 2∠CED = 70°Finding y :
∠CDE = ∠BAC (Alternate angles)70 = 3y + 103y = 60y = 20Finding ∠BCE :
∠BCE = 7y- 6∠BCE = 7(20) - 6∠BCE = 134°Answer:
∠CED = 70°
∠BCE = 134°
Step-by-step explanation:
We don't know if AB and DE are parallel (since there are no arrows on these line segments), therefore we cannot use the Alternate Interior Angles Theorem at this point to definitively say that ∠CDE = ∠ABC.
Angles around a point sum to 360°
Angles on a straight line sum to 180°
⇒ ∠ACB + ∠BCE = 180
⇒ ∠ACB + (7y - 6) = 180
⇒ ∠ACB = 180 - (7y - 6)
⇒ ∠ACB = 180 - 7y + 6
⇒ ∠ACB = 180 - 7y + 6
⇒ ∠ACB = 186 - 7y
The interior angles of a triangle sum to 180°
⇒ ∠ACB + ∠CBA + ∠BAC= 180
⇒ 186 - 7y + 64 + 3y + 10 = 180
⇒ 260 - 4y = 180
⇒ 4y = 80
⇒ y = 20
Using the found value of y to find ∠BCE:
⇒ ∠BCE = 7(20) - 6
⇒ ∠BCE = 134°
Angles on a straight line sum to 180°
⇒ ∠DCE + ∠BCE = 180
⇒ ∠DCE + 134 = 180
⇒ ∠DCE = 46°
The interior angles of a triangle sum to 180°
⇒ ∠DCE + ∠CED+ ∠EDC = 180
⇒ 46 + (9z - 2) + 8z = 180
⇒ 17z + 44 = 180
⇒ 17z = 136
⇒ z = 8
Using the found value of z to find ∠CED:
⇒ ∠CED = 9(8) - 2
⇒ ∠CED = 70°
HELP PLEASE FOR BRAINLIEST
Answer: can i get
Step-by-step explanation:
Reflect (8-7) across the -axis.
Then reflect the result across the -axis again.
What are the coordinates of the final point
If the coordinate is reflected over the x-axis, the resulting coordinate point will be at (8, 7)
Reflection of coordinateIf the coordinate (x, y) is reflected over the x-axis, the resulting coordinate will be at (x,-y).
Given the coordinate point (8, -7), if the coordinate is reflected over the x-axis, the resulting coordinate point will be at (8, 7)
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8 > −4; Subtract 8 from both sides.
The resulting inequality is:
Answer:
True, (-∞, ∞) 0 > -12
Step-by-step explanation:
8 > −4
8 - 8 > −4 - 8
0 > -12
Hope it helps :)
If you have any questions or anymore help lmk, happy to help with any school work!!
Have a nice day, you’ll make it thru :)
(shhhh i added your deleted question to this one as well, Image below)
Suppose the demand for Volkswagen Beetles in Mexico is described by the function D=33.000-2P. where D is the quantity of Beetles that will be demanded when the price is P dollars. Suppose further that the supply S of Volkswagen Beetles follows the functional relationship S = 6000 + P Solve for the equilibrium price P which is the value of at which demand would equal supplyi.e. at which D = S
Which of the functions below indicates a graph that has been vertically shifted by 3 units?
O y = = 3 log (2)
Oy log (3x)
Оy log (x + 3)
Оy= log (x) + 3
The function which represents a graph which has been vertically shifted by 3 units is; y= log (x) + 3.
Which function has been shifted by 3 units?It follows from the task content that the graph which has been shifted vertically is to be identified.
For a vertical shift, it means that the y value of such graphs must have increased or decreased. This is However, evident in the equation y= log (x) + 3 and hence, is the solution.
Read more on function shift;
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Write 7/4/1 as an improper fraction.
Type a number in each box.
Please Help!
Answer:
29/4
Step-by-step explanation:
7/1/4 = 7 1/4 = (4/4 x 7) + 1/4 = 28/4 + 1/4 = (28/4 + 1)4 = 29/4
The quick rule is:
Multiply the integer by the denominator: 7 x 4 = 28
Add the numerator to this product: 28 + 1 = 29
Put this result over the denominator: 29/4
please answer this question I need to get it right :(
Answer: E ; (0,12) , (9,0)
Explanation: To find coordinates by a scale factor is by multiplying.
What we need to do is to multiply the coordinate points by the scale factor.
Find A' is use A 's coordinate. A 's coordinates are (0,4)
3 x 0 = 0
3 x 4 = 12
A' coordinates are : (0,12)
Using the same technique with C'.
3 x 3 = 9
3 x 0 = 0
C' coordinates are : (9,0)
A roast beef sandwich costs $6.75. A customer buys multiple roast beef sandwiches. Write an equation that represents the situation. Use x to represent the number of roast beef sandwiches. Then determine how many sandwiches the customer buys.
Answer:
1. 6.75x or (6.75, 1)
2. buys 9 sandwiches.
Step-by-step explanation:
hope this helps if not let me know have a blessed day
Grade geo
Practice 7.3
Answer:
Nice to hear that, congrats with practice 7.3
Answer:
WHAT ARE WE SUPPOSE TO ANSWER...?
The prisms are similar. What is the surface area of Prism B?
Prism A is 10 m. Prism B is 3 m. Surface area = 880m2
Answer:
Both of the prism are similar , Then
prism A is 10m and it's surface area is 880m²
Now,
prism B is 3m and it's surface area will be = 264m²
I need of helppp please
Answer:
6
Step-by-step explanation:
The sides are in proportion.
[tex]\frac{BC}{QR}= \frac{AB}{PQ}[/tex]?/18 = 2/6?/18 = 1/3? = 18/3? = 6what's the answer???????
Answer:
i belive 7
Step-by-step explanation:
becuse 3+6 in one line = 9 so 2 + 7= 9
Write the coordinates of the vertices after a rotation 270° counterclockwise around the origin.
Answer:
When rotating a rectangle 270° counter clockwise, you change the vertices in this way: (x,y) ---> (y,-x).
In other words, the "x" and "y" values switch, and the "x" becomes negative. If the "x" value is already negative, it becomes positive.
E' = (-8,6) ----> (6,8)
F' = (-8, 10) ----> (10,8)
G' = (-3, 10) ----> (10,3)
H' = (-3, 6) ----> (6,3)
Anybody knows all the answers?
Answer:
m∠1 = 83
m∠2 = 97
m∠3 = 83
m∠4 = 97
m∠5 = 83
m∠6 = 97
m∠7 = 83
Step-by-step explanation:
When two lines are parallel,
Alternate interior angle are equal.Vertically opposite angles are equal.Sum of linear pair angles is 180.m∠8 = m∠4 = 97 ( Alternate interior angles )
m∠8 = m∠2 = 97 ( Alternate interior angles )
m∠6 = m∠4 = 97 ( Vertically opposite angles )
m∠2 and m∠3 are linear pair angles,
m∠2 + m∠3 = 180
97 + m∠3 = 180
m∠3 = 180 - 97
m∠3 = 83
m∠1 = m∠3 = 83 ( Vertically opposite angles )
m∠3 = m∠7 = 83 ( Alternate interior angles )
m∠7 = m∠5 = 83 ( Vertically opposite angles )
help pls
i know i hv to rearrange but how
Answer:
Step-by-step explanation:
draw ⊥ from B cutting AC.
let it be D.
[tex]\frac{BD}{BC} =sin 30\\BD=\frac{1}{2} \times BC=\frac{1}{2} \times 2x=x\\area=\frac{1}{2} \times 3x \times BD=\frac{1}{2} \times 3x \times x\\T=\frac{3x^2}{2} \\2T=3x^{2} \\x^{2} =\frac{2T}{3} \\x=\sqrt{\frac{2T}{3} }[/tex]
The ratio of boys to girls in a class is
3:4. If there are 28 students
altogether in the class, how many of
them are girls?
Answer:
16 girls.
Step-by-step explanation:
Ignoring for a second the strict gender binary here, let's break down what this problem is telling us. A ratio of 3 boys to 4 girls means that for every 3 + 4 = 7 students, 3 are boys and 4 are girls. A class of 28 students is 4 times bigger than 7, so we can multiply each number in the ratio by 4 to get the count for this larger class. Doing that math, we find 3 · 4 = 12 boys and 4 · 4 = 16 girls.
30. Find the volume of the figure below.
21 km
15 km
19 km
9 km
Answer:
See below ....none of your answer choices 'fit'
Step-by-step explanation:
Break it into two pieces....a triangular prism and a square pyramid
prism volume = (area) * length
( 1/2 base * height) * length
Use pythagorean theorem to find height of triangular prism = 12
1/2 * 12 * 9 * 21 = 1134 km^3
Pyramid volume = 1/3 base * height =
= 1/3 * (9*21) * 7 = 441 km^3
Summed = 1575 km ^3
phone 35% off
now only £78
how much was the phone before the discount price
Answer:
€ 120Step-by-step explanation:
full price of the phone in terms of percentage
= 100%
percentage discount = (100-35)% = 65%
let the price of the phone before discount= X
therefore,
65%-----------78
100%----------X
cross multiplying
65×X = 100×78
dividing bothsides by X
X = 100×78/65
X = 7800/65
X = 120
price of the phone before discount=€120
The composite figure shown is made up of 2 triangular prisms and one rectangular prism. If the area of each triangle base of the triangular prisms has an area of 24 m2, what is the total surface area of the composite figure? 120 m2 160 m2 760 m2 1,152 m2
The area of the composite figure is 1152 square meters
Complete QuestionA rectangular prism and 2 triangular prisms. The rectangular prism has a length of 20 meters, width of 6 meters, and height of 8 meters. The triangular prisms each have 2 triangular sides with a base of 6 meters and height of 8 meters. The rectangular sides are 20 meters by 6 meters, 20 meters by 10 meters, and 20 meters by 8 meters.
The composite figure shown is made up of 2 triangular prisms and one rectangular prism. If the area of each triangle base of the triangular prisms has an area of 24 m2, what is the total surface area of the composite figure?
How to determine the surface area?The given parameters are:
Rectangular prism :
Length = 20 meters; Width = 6 meters; Height = 8 meters
Triangular prism :
Triangular sides (2): Base = 6 meters; Height = 8 metersRectangular sides: 20 meters by 6 meters, 20 meters by 10 meters, and 20 meters by 8 meters.Base Area = 24 square meters:The area of the rectangular prism is:
Area = 2 * (Length * Width + Length * Height + Width * Height)
So, we have:
Area = 2 * (20 * 6 + 20 * 8 + 6 * 8)
Area = 656
The area of the triangular prism is:
Area = 2 * Base Area + Areas of Rectangular sides
So, we have:
Area = 2 * 24 + (20 * 6 + 20 * 10 + 20 * 8)
Area = 528
The common area between the prisms is:
Common area = 8 * 4
Common area = 32
Subtract the common area from the sum of the areas of the triangular prism and the rectangular prism to get the area of the composite figure
Composite figure = 656 + 528 - 32
Evaluate the sum
Composite figure = 1152
Hence, the area of the composite figure is 1152 square meters
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Answer: D, 1152 m2
Step-by-step explanation: I got it correct
How do I answer this 1x+2
Answer:
x+2
Step-by-step explanation:
Given polynomial:
1x+2
x can be written as 1x, which is
1x = xSame case is here as well.
Rewrite 1x as x:
x + 2There isn't any like terms so we can't simplify.
Each horse ride lasts 5 minutes with one minute pause in between for the next rider to get in the saddle . After every hour and a half the horses are given a rest . How many children can get an opportunity to ride a horse before they rest
Answer:
15 rides for each horse
Step-by-step explanation:
60 minutes in an hour
90 minutes in an hour and a half
6 minutes per ride (counting the re-saddle time )
90 min / 6 min/ride = 15 rides for each horse
Somebody’s please help me with this it’s due tomorrow and I don’t have any idea how to do it
Answer:
1) They will stop 10 times for a break
2) A baker can make 10 cakes
3) Tammy will distrubute 36 bags with 2 1/2 pounds of candy
Step-by-step explanation:
Let me know if you have any questions !
Hope it helps
In Chemistry class, Samantha finds that she can make a certain solution by mixing 0.04 liters of chemical A with 0.02 liters of water (this gives her 0.06 liters of the solution). She wants to make a total of 0.48 liters of this new solution. To do so, how many liters of water will she use?
Answer:
0.16 liters of water
Step-by-step explanation:
Samantha's recipe makes 0.06 liters of solution. She wants 0.48 liters of solution, an amount 0.48/0.06 = 8 times as great as made by one recipe.
The recipe calls for 0.02 liters of water. To make 8 times the amount of solution, Samantha will use 8 times as much water: 0.16 liters.
Samantha will use 0.16 liters of water to make 0.48 liters of solution.
__
Alternate solution
The fraction of solution that is water is (0.02 L)/(0.06 L) = 1/3. For 0.48 L of solution, the water needed is 1/3×0.48 L = 0.16 liters.
Answer:
0.16L
Step-by-step explanation:
There are 50 roses in a tray. There is at least 1 red rose among any 24 randomly selected roses, and there is 1 white rose among any 28
randomly selected roses. How many white roses are there? QUICK PLS
So probability of red rose is 1/24
Probability of white rose is 1/28
TOTAL roses= 50
P(A)=(1/24)P(B)=1/28=0.035P(AUB)=1/50P(A$\cap$ B)=1/24+1/28-1/50
175+150-84/4200241/4200=0.057So Probability of white is
0.057-0.0350.022Find the equation of the line of the given properties: Slope = 0 and passes through (-4,5).
Pls help me
Answer:
y = 5
Step-by-step explanation:
An equation can be written in two forms: point-slope form or slope-intercept form.
When you write an equation in point-slope form, you only need two things: a point and a slope.
Given:
point: (-4, 5)slope (m): 0The standard point-slope equation is
y - y₁ = m(x - x₁)
Plug in what you know.
y - (5) = 0(x - (-4))
Simplify.
y - 5 = 0(x + 4)
y - 5 = 0
y = 5
This is your equation.
Let's now represent this in slope-intercept form.
The standard equation is
y = mx + b
Plug in what you know.
5 = 0(-4) + b
Simplify.
5 = 0 + b
5 = b
Therefore,
y = 0x + 5 or y = 5
Hope this helps!
Learn with another example:
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Ellen wrote 18 checks in May. The first five checks had no fee.
The bank charged $0.25 for the remaining checks written that
month. The monthly service charge on the account is $5.
What is the total amount of fees Ellen paid in May on her
checking account?
Help please lol lol :))))
Answer:
is this required answer
Step-by-step explanation:
AB=3x-2
=3*8-2
=22
Answer:
[tex]\huge\boxed{\textbf{AB = 22}}[/tex]
Step-by-step explanation:
Given that:
AB = 3x - 2
Put x = 8
AB = 3(8) - 2
AB = 24 - 2
AB = 22
[tex]\rule[225]{225}{2}[/tex]
Need Help With This Fast!!!!
Answer:
yes
Step-by-step explanation:
the slope stays constant throughout
i need help with this