The measure of side BC is 30 units.
Given:
Points A, B, and C are collinear and B lies between A and C.
[tex]AC=48[/tex]
[tex]AB=2x+2[/tex]
[tex]BC=3x+6[/tex]
To find:
The value of BC.
Solution:
Points A, B, and C are collinear and B lies between A and C. So,
[tex]AB+BC=AC[/tex] [Segment addition postulate]
[tex](2x+2)+(3x+6)=48[/tex]
[tex]5x+8=48[/tex]
Subtract 8 from both sides.
[tex]5x=48-8[/tex]
[tex]5x=40[/tex]
Divide both sides by 5.
[tex]\dfrac{5x}{5}=\dfrac{40}{5}[/tex]
[tex]x=8[/tex]
Now,
[tex]BC=3(8)+6[/tex]
[tex]BC=24+6[/tex]
[tex]BC=30[/tex]
Therefore, the value of BC is 30.
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The possible coordinates for G are -11 and 5.
Given:
On a number line, suppose point E has a coordinate of [tex]-3[/tex], and [tex]EG=8[/tex].
To find:
The possible coordinates of point G.
Solution:
Either point G lies 8 units left of point E or 8 units right of point E.
[tex]G=-3-8[/tex]
[tex]G=-11[/tex]
And
[tex]G=-3+8[/tex]
[tex]G=5[/tex]
Therefore, the possible coordinates for G are -11 and 5.
Learn more:
https://brainly.com/question/13071707
The angle turns through 1/12th of the circle what is the measure of the angle
Answer:
30°
Step-by-step explanation:
A full circle has 360°.
1/12 of a circle has 1/12 of 360°.
1/12 * 360° = 360°/12 = 30°
Answer: 30°
Solve 6x + 3) = 21.
A. x = -3 and x = -4
O B. x = 3 and x = -3
C. X = -3 and x = 4
D. x = 3 and x = -4
Answer:
×=3
Step-by-step explanation:
6x +3) =21
6x=21 - 3
6x/6x=18/6
x=3
Her jump rope Ella can make 17 jumps in 15 second.at this rate how make jumps can she make in20 minute?
Answer:
1360
Step-by-step explanation:
there are 1200 seconds in 20 minutes. if Ella can do 17 jumps in 15 seconds, you would divide 1200 by 15 (which equals 80) because that would be the number of 15 seconds in 20 minutes. then you would divide 80 by 17, which gives you your final answer of 1360 jumps in 20 minutes.
Find the value of expression:15/3+(7-3)^2
Answer:
21
Step-by-step explanation:
A population of rabbits at time t increases at a rate of 40-12t+3t^2 rabbits per year where t is measured in years. Find the population after eight years if there are 10 rabbits at t=0?
We have to find derivative of t
[tex]\\ \sf\longmapsto \dfrac{d}{dx}3t^2-12t+4[/tex]
[tex]\boxed{\sf \dfrac{d(x^n)}{dx}=nx^{n-1}}[/tex]
[tex]\\ \sf\longmapsto \dfrac{d}{dx}3t^2-\dfrac{d}{dx}12t+\dfrac{d}{dx}40[/tex]
[tex]\\ \sf\longmapsto 6t-12[/tex]
Now
t=8..[tex]\\ \sf\longmapsto 6(8)-12[/tex]
[tex]\\ \sf\longmapsto 48-12[/tex]
[tex]\\ \sf\longmapsto 36[/tex]
Please explain how to solve this problem
A motorboat can maintain a constant speed of 45 miles per hour relative to the water. The boat makes a trip upstream to a certain point in 34 minutes; the return trip takes 26 minutes. What is the speed of the current?
The speed of the current is _ mile(s) per hour.
Answer: Distance upstream = (34-c)(39/60) miles
--------------------------
Distance downstream = (34+c)(29/60) miles
-----------------------------------------------
Equation:
distance = rate*time
distance up = distance down
(34-c)(39/60) = (34+c)(29/60)
Multiply both sides by 60 to get:
39(34-c) = 29(34+c)
39*34 - 39c = 29*34 + 29c
68c = 340
c = 5 mph (speed of the current)Step-by-step explanation: I'm not sure if this will help you but I hope it does!
Give the slope of a line perpendicular to AB
Answer:
m = -1
Step-by-step explanation:
Find the equation in slope intercept form [ y = mx + b ] for line AB. Find the slope using the formula [ y2-y1/x2-x1 ].
8-5/7-4
3/3
1
Find the y-intercept.
5 = 1(4) + b
5 = 4 + b
1 = b
So the equation of the line AB is y = x + 1.
The slope of a perpendicular line is the opposite reciprocal of the original line.
1 -> -1/1 -> -1
Best of Luck!
PLEASE HELP giving brainliest
Answer:
choose C
Step-by-step explanation:
tctc6pxpycoyxot ỹoyx5s4
10. The product of two integers is -18. The difference between the integers is 9. The sum of the
integers are 3. What are the two integers?
Answer:
x = 6
y = - 3
Step-by-step explanation:
x * y = - 18
x - y = 9. 3-y-y = 9. 3 -2y = 9.
-2y = 9-3
y = 6/-2
y = -3
x + y = 3. x = 3-y
x * -3 = - 18
x = -18/-3
x = 6
Given: g(x) = -2x-5 and f(x)= x2 +1
Find: f(g(-8))
Answer:
[tex]g( - 8) = - 2( - 8) - 5 = 16 - 5 = 11[/tex]
[tex]f(g( - 8)) = {11}^{2} + 1 \\ = 121 + 1 \\ = 122[/tex]
I hope I helped you^_^
[tex]\\ \sf\longmapsto g(x)=-2x-5[/tex]
[tex]\\ \sf\longmapsto g(-8)[/tex]
[tex]\\ \sf\longmapsto -2(-8)-5[/tex]
[tex]\\ \sf\longmapsto 16-5[/tex]
[tex]\\ \sf\longmapsto 11[/tex]
Now
[tex]\\ \sf\longmapsto f(x)=x^2+1[/tex]
[tex]\\ \sf\longmapsto f(g(-8))[/tex]
[tex]\\ \sf\longmapsto f(11)[/tex]
[tex]\\ \sf\longmapsto 11^2+1[/tex]
[tex]\\ \sf\longmapsto 121+1[/tex]
[tex]\\ \sf\longmapsto 122[/tex]
Find the area of the circle use 3.14 for pie do not round your answer
Answer:
Area= 12.56 inches²Step-by-step explanation:
To find the area of a circle: A= πr²A= 3.14 × 2²A= 3.14 × 4A= 12.56 inches²[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
The area is:
12.56 in²Work/explanation:
The formula for the area of a circle is:
[tex]\sf{A=\pi r^2}}[/tex]
Where
A = area
π = 3.14
r = radius
Diagram:
[tex]\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\put(0,0){\line(1,0){2.3}}\put(0.5,0.3){\bf\large 2\ in}\end{picture}[/tex]
Plug in the data:
[tex]\sf{A = 3.14 \times 2^2}[/tex]
[tex]\sf{A = 3.14 \times 4}[/tex]
[tex]\sf{A = 12.56\:in^2[/tex]
Hence, the answer is 12.56 in².Your teacher has asked you to explain the difference between quantitative and qualitative observations. Which statement is correct?
Question 8 options:
Quantitative observations use numbers, qualitative uses the senses.
Quantitative observations use the senses, qualitative uses numbers.
Quantitative observations use measurement, qualitative uses numbers.
Quantitative observations use colors, qualitative uses the senses.
Answer:
Step-by-step explanation:
B is the answer and if the next has something to do with connie then your answer is C
0.21 es mayor o menor que 0.210
Is 15/0 just 15?
Thank you!
Answer: 15/0 = 15/0 = 15/0 = 15/0 = 0+15
Step-by-step explanation: 15/0 = 15/0 = 15/0 = 15/0 = 0+15
15/45 turned into a decimal
15/16 turned into a decimal
1/8 turned into a decimal
.875 turned into a fraction
.4375 turned into a fraction
.625 turned into a fraction
.03 turned into a fraction
40% turned into a fraction
Answer:
0.33333333
0.9375
0.125
7/8
7/16
5/8
3/100
4/10 or 40/100
Step-by-step explanation:
11/12- 2/9 i need help due in 5 mins
Answer:
hope this helps and have a great dayyyyyy
Answer:
yes what we should by you
Step-by-step explanation:
rhsoba
Emily gets paid $40 just for showing up to watch her sister’s dog. Her sister then pays her $25 per everyday she watches the dog.
Answer:
Step-by-step explanation:
CAN SOMEONE PLZ HELP ME
Answer:
Slope intercept is y = mx+b.
SLOPE is m
and Y-INTERCEPt, where the thing touches the y axis is b.
The line touches the y axis at -6.
The slope is 2/3
y=2/3x-6
Step-by-step explanation:
Help plzzz math people
How much do you think our environment or nature is worth?.
3/4 sentences please
Answer:
i think is worth the planet itself
Answer the question please
To find the perimeter of a rectangle, you add up 2 times the length and 2 times the width. Here's the expression: [tex]2l+2w[/tex]. In this case l=22 or l=27.7 and w=27.7 or w=22. In the end, you get: [tex]2l+2w=99.4[/tex]. [tex]22*2=44. \\27.7*2=55.4[/tex].
Area:To find the area of a rectangle, you multiply the length by the width. Here's the expression: [tex]lw[/tex]. In this case l=22 or l=27.7 and w=27.7 or w=22. In the end, you get: [tex]22*27.7=609.4[/tex].
Side note:
It doesn't matter what l or w equal because There's a property in addition that says it doesn't matter which order the values go in. There's also a property in multiplication that it doesn't matter which order the values go in (same as addition).
What is 8(9h - 6) simplifyed
Evaluate Expression
-19 + 3(-13 + 4*3)
Answer:
-22
Step-by-step explanation:
Solve the expression using PEMDAS.
-19 + 3(-13 + 4 * 3)
~Multiply
-19 + 3(-13 + 12)
~Add
-19 + 3(-1)
~Multiply
-19 - 3
~Subtract
-22
Best of Luck!
Find an ordered pair (x, y) that is a solution to the equation. 4x-y=4 (x, y) = 00 X Х ?
Which number is closest to 66 (squared)?
A) 8.8
B) 8.1
C 8.2
D) 9.1
Answer:
sq rt of 66 is 8.12 so 8.1 closest
Answer:
8.1
I hope it will help you a lot.
HOPE your day goes great.
Will give brainliest!
Answer:
the area!!!
Step-by-step explanation:
2(a+b)h
to find b you have to know the base of the triangle. you may use pythagoras' theorem for that. you will then get 5ft as the base.
5ft + 48ft = 53ft.
put in the formula, the area is then
2(48+53)*13
am not with a calculator.... so sort it out....
I think you can get the rest with this...
What is the point on the graph of f(x+5)
Answer:
=fx+5f
Step-by-step explanation:
=fx+5f
a window is 9ft long. It is x feet longer than it is high. What is the height of the window.
The height of the window is 9-x feet.
Given that, a window is 9 ft long. It is x feet longer than it is high.
We need to find what is the height of the window.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
Here, the length of the window = 9 ft
Then, the height of the window = x feet smaller than the length = 9-x feet
Therefore, the height of the window is 9-x feet.
To learn more about an expression visit:
https://brainly.com/question/28170201.
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2x2 − 2z4 + y2 − x2 + z4 if x = −4, y = 3, and z = 2.
answer: 9
Step-by-step explanation:
x = - 4; y = 3; z = 2;2 x² - 2 z^4 + y² - x² + z^4 = = 2 * (-4)² - 2 * 2^4 + 3² - ( -4)² + 2^4 == 2 * 16 - 2 * 16 + 9 - 16 + 16 = = 32 - 32 + 9 - 16 + 16 = 9
Going to sleep goodbye
Which is not a rational number?
