Point C is located between points B and D. Also BC = 5x + 7, CD = 3y + 4, BD = 38, and BD = 2x + 8y. Find the values of x and y
Using location of points and a system of equations, it is found that:
The value of x is 3.The value of y is 4.----------------------------------
Point C is located between points B and D means that:
[tex]BD = BC + CD[/tex]
----------------------------------
We are given that:
[tex]BC = 5x + 7[/tex][tex]CD = 3y + 4[/tex][tex]BD = 38[/tex][tex]BD = 2x + 8y[/tex]From this, two equations can be built.
[tex]2x + 8y = 38[/tex]
Dividing both sides by 2:
[tex]x + 4y = 19[/tex]
[tex]x = 19 - 4y[/tex]
----------------------------------
Finding y:
[tex]BC + CD = BD[/tex]
[tex]5x + 7 + 3y + 4 = 38[/tex]
[tex]5x + 3y + 11 = 38[/tex]
[tex]5x + 3y = 27[/tex]
Since [tex]x = 19 - 4y[/tex]
[tex]5(19 - 4y) + 3y = 27[/tex]
[tex]95 - 20y + 3y = 27[/tex]
[tex]17y = 68[/tex]
[tex]y = \frac{68}{17}[/tex]
[tex]y = 4[/tex]
----------------------------------
Finding x:
[tex]x = 19 - 4y = 19 - 4(4) = 19 - 16 = 3[/tex]
The value of x is 3.
The value of y is 4.
A similar problem is given at https://brainly.com/question/10956693
3(y - 5) + 2 = 5
answer choices:
a. 4
b. 7
c. -4
d. 6
Answer:
answer by your own
Step-by-step explanation:lol
Answer:
D.
Step-by-step explanation:
The first step is to subtract 2 on both sides, so
3(y - 5) + 2 - 2 = 5 - 2
3(y - 5) = 3
Next, multiply by or distribute the 3 on the left side.
3y - 15 = 3
Then, add 15 on both sides.
3y - 15 + 15 = 3 + 15
3y = 18
Finally, divide by 3 on both sides.
3y/3 = 18/3
y = 6
square root of the quantity x minus 2 end quantity plus 8 equals x
solve for x
Answer:
x = 11.
Step-by-step explanation:
√(x - 2) + 8 = x
√(x - 2) = x - 8
Square both sides:
x - 2 = (x - 8)^2
x - 2 = x^2 - 16x + 64
x^2 - 17x + 66 = 0
(x - 6)(x - 11) = 0
x = 6, 11.
With this type of question we could have extraneous roots so:
Check these 2 roots:
x = 6:
√(2 - 6) + 8 = √(-4)+8 <----- has no real value so this is not a root,
x = 11:
√(11-2) + 8 = 11 < ----Checks out.
Answer:
x = {6, 11}Step-by-step explanation:
[tex]\sqrt{x-2} + 8=x[/tex][tex]\sqrt{x-2} = x - 8[/tex]x - 2 = (x - 8)²x² - 16x + 64 = x - 2x² - 17x + 66 = 0x = (17 ± [tex]\sqrt{17^2- 4*66}[/tex]) / 2x = (17 ± 5)/2x = 11x = 6Find the are of the shaded region
Which of the following is the equation of the line that has x-intercept -2 and y-intercept -6?
А. y=-3x - 6
B. y=-2x - 6
C. y=-6x-2
D. y = 3x - 2
Answer:
a
Step-by-step explanation:
y=mx+c, where c is the y-intercept. hence,
y=mx-6
at the x-intercept, y=0 and x = -2
0 = m(-2)-6
2m = -6
m = -3
y = -3x-6
Answer:
a
Step-by-step explanation:
0 = m(-2)-6
M = -3
Y = -3x-6
f(x) = -2x - 7 and g(x) = x+8/x find (g of f) (-7)
68/7
it the process
the total process is in above picture
6139m=_____km. answer pls i beg
Answer:
6.139km
Step-by-step explanation:
1000m = 1km
6139m = 6139/1000km = 6.139km
Answer:
6.139 km
Step-by-step explanation:
1 m = (1/1000) m
So, 6139 m
= (6139/1000) km
= 6.139 km
A ant has six legs how many legs do eight ants have
Answer:
48
Step-by-step explanation:
In this problem, you need to find out how many total legs 8 ants would have together. Each ant has 6 legs; this means that to solve you must add 6 together 8 times. However, there is an easier way to do this. You can also multiply 6 by 8 to get the same answer. The answer is 48.
In algebra - what can the letter "d" represent? For example, what does "d" stand for in this expression "2d + 3"? *
Answer:
A constant you need to find when given what the equation is equal to.
Answer:
Here, 'd' is the variable of 2.
what is 40% of 4x-10?
f(x)=-x^2-4x-19
Find f(−9)
Answer:
-64.
Step-by-step explanation:
f(x)=-x^2-4x-19 Replacing x by -9:-
f(-9)= -(-9)^2-4(-9)-19
= -81 + 36 - 19
= 36 - 100
= -64.
Answer:
-64
Step-by-step explanation:
f(x)=-x^2-4x-19
Let x = -9
f(-9) = - (-9)^2 -4(-9) -19
= -81 +36 -19
=-64
Whats the answer and the steps
2(3x-4)
Answer:
-24
Step-by-step explanation:
2(3x-4)
6x-8
Peyton needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 4 hours and charged her $77 for parts. The total was $497. Write and solve an equation which can be used to determine xx, the cost of the labor per hour.
Answer:
Step-by-step explanation:
the equatoin is 4x+77=497
and x is the hours spent
so solving it you subtract 77 from 497 which is 420 and 420/4 is equal to 105
The system
2.+ 3y = 8
4x - y = 2
is solved algebraically. Which of the following can be used to correctly solve this system by using the elimination method? Selec
А
-2(2x + 3y = 8)
-4. -6y = -16
B
2(2x + 3y = 8)
-43 - 6y = 8
4r
-40 - by = -16
43 - y = 2
by : 8
2
4.2
- 4x + 4.r - by - y = -16 + 2
44-6y y = 8 + 2
C
34 - y = 2)
12-3y = 6
D
22. + 3y = 8)
13 6y = 16
2x + 3y = 8
12 - 3y = 6
4a +6y16
2
2x + 12x + 3y - 3y = 8 + 6
431-6yy = 16 + 2x
Someone help please
help
hvcjhjcfhjhgvhkgbnvg
Answer:
f(1)=1+2=3, as 1 is odd
f(2)=2*2=4
f(3)=3+2=5
f(4)=2*4=8
f(11)=11+2=13
What's the area of a room that 18ft by 10ft
Answer:
180 square feet
Step-by-step explanation:
Square footage is calculated by multiplying width by length. So if a room is 18 foot wide by 10 foot long, 18 x 10 = 180 square feet.
Refer to the figure at the right to answer each question. 5. Are points H, J, K, and L coplanar? 6. Name three lines that intersect at X. 7. What points do plane WXYZ and HW have in common? 8. Are points W, X, and Y collinear? 9. List the possibilities for naming a line contained in plane WXKH
Problem 5
Answer: Yes the points are coplanar
------------------------
Explanation:
Note how all four points are in the same plane, aka face, along the top of the 3D block. The term "coplanar" simply means "all in the same plane", so that's why the points are coplanar.
In contrast, the set of points {H,J,K,Z} are not all coplanar because H,J,K are in the top plane, while Z is not.
===========================================================
Problem 6
Answer: line segments WX, XY, and XK
------------------------
Explanation:
All three lines mentioned above involve the letter X in some fashion. The order doesn't matter. Also, those lines intersect at the common point X.
===========================================================
Problem 7
Answer: point W
------------------------
Explanation:
The plane WXYZ is the bottom face, in which we can think of as the floor of the building. The segment HW is from the floor and goes up vertically. We can consider this to be like a pole beam of the structure. The plane and segment both have point W in common. Note that the letter "W" is found in the sequences WXYZ and HW, and it's the only common letter.
===========================================================
Problem 8
Answer: The points are not collinear
------------------------
Explanation:
To be collinear, the points must all be on the same straight line. We see that isn't the case with points W, X and Y.
===========================================================
Problem 9
I'm not entirely sure what your teacher is asking here, so I would ask for a second opinion.
in thailand the population of town is 48700 men and 41600 women what percentage of the total percentage are men
Answer:
53.931339977852% (you can round)
Step-by-step explanation:
You add up 48,700 and 41,600 and you would get 90,300 as the overall population. Then you would put it in fraction form if you want to convert it into a percentage. The fraction form would be 48,700/90,300. You could simplify it to 487/903. Then you do 487 x . You would cross multiply and get
___ = ___
903 100
903x = 48700. Then you would divide each side by 903 and get x = 53.931339977852% (you can round)
Answer:
Approximately 53.9%
To be exact, answer is 48700/903
Step-by-step explanation:
Percentage of men = Men ➗ Total population
48700 + 41600 = 90300
48700/90300 is approximately 0.539
0.539 * 100 = 53.9
Pls answer, you can get 100 points for answering, I'd give more but i can't.
Step-by-step explanation:
All steps are in picture.
If you have any question about it you can ask.
Thanks
#a
a(1)=1a(n)=3a(n-1)[tex]\\ \sf\longmapsto a(2)=3a(1)=3(1)=3[/tex]
[tex]\\ \sf\longmapsto a(3)=3a(2)=3(3)=9[/tex]
[tex]\\ \sf\longmapsto a(4)=3a(3)=3(9)=27[/tex]
[tex]\\ \sf\longmapsto a(5)=3a(4)=3(27)=81[/tex]
#b
b(1)=1b(n)=-2+b(n-1)[tex]\\ \sf\longmapsto b(2)=-2+b(1)=-2+1=-1[/tex]
[tex]\\ \sf\longmapsto b(3)=-2+b(2)=-2-1=-3[/tex]
[tex]\\ \sf\longmapsto b(4)=-2+b(3)=-2-3=-5[/tex]
[tex]\\ \sf\longmapsto b(5)=-2-5=-7[/tex]
a Find the Q2 and Q; of the following data. 5500, 6800, 4200, 3900, 7800, 6150, 4400, 7500 5 and 12 + 1 are in
Step-by-step explanation:
Quartile Formula:
Formula for Lower quartile (Q1) = N + 1 multiplied by (1) divided by (4)
Formula for Middle quartile (Q2) = N + 1 multiplied by (2) divided by (4)
Formula for Upper quartile (Q3) = N + 1 multiplied by (3) divided by (4)
Formula for Interquartile range = Q3 (upper quartile) – Q1 (lower quartile)
i don't know how to work it out but i gave you some information.
What is the sum of 15 and the square root of 144?
Answer:
27 pls mark me branilest
Answer:
27
Step-by-step explanation:
Hi there!
[tex]15+\sqrt{144}[/tex]
The square root of 144 is 12:
[tex]= 15+12[/tex]
[tex]= 27[/tex]
I hope this helps!
geometry help
1)what is the measure of the segment AB
2)what is the measure of segment CD
how so?
Answer:
AB = 18, CD = 16
Step-by-step explanation:
The 3 segments make the whole line , that is
AB + BC + CD = AD , substitute values
AB + 20 + (BD - BC) = 54
AB + 20 + (36 - 20) = 54
AB + 20 + 16 = 54
AB + 36 = 54 ( subtract 36 from both sides )
AB = 18
-----------------------------------------------------
BC + CD = BD , substitute values
20 + CD = 36 ( subtract 20 from both sides )
CD = 16
Answer:
Step-by-step explanation:
7 squared plus 10 times 5 plus 10
Answer:
109
7²=49 (7×7=49)
10×5=50
Therefore,
49+50+10= 109
2. Write an algebraic expression that models the cost of a telephone call is 35 cents plus 65 cents times the number of minutes. (use m for number of minutes)
Answer:
35 + 65 × m[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
please helpppppppppp!!
Answer:
[tex](w ^{2})^{5} = {w}^{10} [/tex]
I hope I helped you^_^
Answer:
w raised to the power of 10
Step-by-step explanation:
When you have a power raised to a power, you multiply the exponents.
You can check by using a real number for the variable
(2²) raised to the power of 5
4 raised to the power of 5 = 4 x 4 x 4 x 4 x 4 = 1024
5x2 = 10
2 raised to the power of 10 = 1024
which diagram correctly
shows the relationship
betweer sets of numbers?
Answer:
D
Step-by-step explanation:
under real numbers we have natural numbers, whole numbers, integers rational numbers and irrational numbers
PLEASE HELP!!! I really need help with this.
Answer:
M. 2.5n - (-8.2) = 26. 7
to find n transpose
2.5n + 8.2 = 26. 7
2.5n = 26. 7 - 8.2
2.5n = 18.5
n = 18.5 ÷ 2.5
n = 7.4
L. [tex]\frac{7a + 1}{2}[/tex] = 18
7a + 1 = 18 ×2
7a + 1 = 36
7a = 36 - 1
7a = 35
a = 35 ÷ 7
a = 5
N. [tex]\frac{2}{5}[/tex] b + 1 = -11
[tex]\frac{2}{5}[/tex] b = -11 -1
[tex]\frac{2}{5}[/tex] b = -12
b = -12 - [tex]\frac{5}{2}[/tex]
b = 20
H. 5 - [tex]\frac{9}{2}[/tex] d = 32
- [tex]\frac{9}{2}[/tex] d = 32 - 5
- [tex]\frac{9}{2}[/tex] d = 27
d = 27 + [tex]\frac{2}{9}[/tex]
d = 6
Solve the compound inequality 8x > –32 or 6x ≤ –48.
Answer:
x>-4 x≤-8
Step-by-step explanation:
(4-xy)(5x-3y)-(x+y)(x-3y)
Answer:
20x-12y-5x²y+3xy²-x²+2xy+3y²
Step-by-step explanation:
(4-xy)(5x-3y)-(x+y)(x-3y)
20x-12y-5x²y+3xy²-(x+y)(x-3y)
20x-12y-5x²y+3xy²-x²+2xy+3y²