Step-by-step explanation:
½(f + y) = f - 5
(f + y)/2 = f - 5
y + f = 2f - 10
y = f - 10
or
f = y + 10
#mathisfun
the distance between the points (-1,3) and (2,-1) is?
Answer:
It is 5.83 units
Step-by-step explanation:
[tex]{ \bf{length = \sqrt{ {(x_{1} - x _{2} ) }^{2} + {(y _{1} - y_{2})}^{2} } }}[/tex]
x1 is -1
x2 is 2
y1 is 3
y2 is -1
[tex] = \sqrt{ {( - 1 - 2)}^{2} + { \{3 - ( - 2) \}}^{2} } \\ \\ = \sqrt{9 + 25} \\ = \sqrt{34} [/tex]
please help easy maths
Answer:
option D
Step-by-step explanation:
y-intercept=-8
point(0,-8)
m=4
Using point slope form:
y-y1=m(x-x1)
y-(-8)=4(x-0)
y+8=4x
y=4x-8
What is 3(x-6)+12=6(x+1)-3x show your work.
Answer:
No solution.
Step-by-step explanation:
3(x - 6) + 12 = 6(x + 1) - 3x
3x - 18 + 12 = 6x + 6 - 3x
3x - 6 = 3x +6
-6 = 6
-6 ≠ 6
..... + ..... x ..... = 1452
Answer:
452 + 100 × 10 = 1452
Step-by-step explanation:
There are many possible solutions. This is one of them.
Solve - 3 [ ( x + 2 ) ( x - 1 ) - x ^ { 2 } + 1 ] + 3 ( x - 1 ) (and could you please explain it to me?? I really don't get it. Thanks!)
Answer:
Step-by-step explanation:
[tex](x+2)(x-1)= x^2+2x-x-2= x^2 +x -2\\\\( x + 2 ) ( x - 1 ) - x ^ { 2 } + 1 =x^2+x-2-x^2+1=x-1\\\\- 3 [ ( x + 2 ) ( x - 1 ) - x ^ { 2 } + 1 ] =-3(x-1)=-3x+3\\\\- 3 [ ( x + 2 ) ( x - 1 ) - x ^ { 2 } + 1 ] + 3 ( x - 1 ) =-3x+3+3x-3=6x\\[/tex]
A point is plotted on the number line at 225 . A second point is plotted at −434 .
What is the length of a line segment joining these points?
Enter your answer as a simplified mixed number in the box.
ANSWER:_____ units?
Answer:
659 units
Step-by-step explanation:
The length of the segment is the distance between the points.
The distance between two points on the number line is the absolute value of the difference between their coordinates. It does not matter in which order you subtract the numbers.
One point has coordinate 225.
Another point has coordinate -434.
Subtract one coordinate from the other and take the absolute value of the difference.
distance = |-434 - 225| = |-659| = 659
Answer: 659 units
Length of given line segment is 659 units
Step-by-step explanation:
Given:
First point plotted on number line = 225
Second point plotted on number line = - 434
Find:
Length of line segment
Computation:
Length of line segment = Distance between two point
(Distance between two point will be added as absolute value)
So,
Length of line segment = |-434| + |225|
Length of line segment = 434 + 225
Length of line segment = 659 units
Learn more:
https://brainly.com/question/23782800?referrer=searchResults
Find the circumference of a circle that has a diameter of 70 cm.
Answer:
70 pi cm
219.80 cm
219.9114858 cm
Step-by-step explanation:
The circumference of a circle is given by
C = pi*d
C = pi * 70cm
Using 3.14 for pi
C = 219.80cm
Using the pi button
219.9114858cm
Circumference of circle = 2πr
π = 3.14 r = diameter/2 ; 70/2 = 35Hence , r is 35 cm
r denotes radius of circle⇛Circumference of circle = 2πr
⇛Circumference of circle = 2*3.14*35
⇛Circumference of circle = 6.28*35
⇛Circumference of circle = 219.8 cm
Hence , Circumference of circle is 219.8 cm
PLEASE HELP COMPARING RATIOS
Answer:
8 minutes per customer in Restaurant One.
6 minutes per customer in Restaurant Two.
7 minutes per customer in Restaurant Three.
Restaurant Two had the fastest service.
Method:
I divided the time it took – for example – 48 divided by 6. I would do this because I wanted to find out each person took (6 people), and the amount of time it took for each person to get their food. I would use division for this problem because I am finding how much each person took out of the whole time.
Answer
The 2nd restaurant is the fastest
Step-by-step explanation:
I. Compare Time per Customers
When 1st restuarant = 48/6 = 9
2nd restuarant = 42/7 = 6
3rd restuarant = 63/9 = 7
Given if in 1 min, I can serve 20 customers = 1/20 = 0.05
in 1 min, He can serve 10 customers = 1/10 = 0.1
See the different? I can serve better than him.
So The answer is the 2nd restuarant.
Hope that help :D
What is (f + g)(x)? f(x) = -3x² + 6x g(x) = -X Write your answer as a polynomial or a rational in simplest form
Answer:
- 3x² + 5x
Step-by-step explanation:
(f + g)(x)
= f(x) + g(x)
= - 3x² + 6x - x ← collect like terms
= - 3x² + 5x
Can someone help what do I put in the blank
Answer:
600 -383 =217hope it helpsWhat is the common difference in the arithmetic sequence -2, -5, -8, -11, -14, ... ?
A. 3
B. -2
C. 2.5
D. -3
Answer:
D. -3
Step-by-step explanation:
d = t2 - t1
d = -5 - (-2)
d = -3
what is the answer to 90π + 2π(7.5)2
Answer:
635.75
Step-by-step explanation:
90π + 2π(7.5)²
~Simplify
90π + 2π(56.25)
~Multiply
282.5 + 2(176.625)
~Simplify
282.5 + 353.25
635.75
All this was simplified using PEMDAS.
Best of Luck!
The side of a cube is 3^4 centimeters long. What is the volume of the cube?
Step-by-step explanation:
v=s^3 s=3^4=81
v=(81)^3
v=531,441 cm^3
Help meee plsss!!!!!!
Answer:
56m²
Step-by-step explanation:
1/2×b×h
1/2×14×8
1/2×112
112/2
56m²
How many meters does a runner cross in a circular runway with radious of 100 meters [R=3, 14]
Please help me find the midpoint
[tex]\\ \rm\hookrightarrow (x,y)=\left(\dfrac{x_1+x_2}{2}_\dfrac{y_1+y_2}{2}\right)[/tex]
[tex]\\ \rm\hookrightarrow (x,y)=\left(\dfrac{6+9}{2},\dfrac{2+4}{2}\right)[/tex]
[tex]\\ \rm\hookrightarrow (x,y)=\left(\dfrac{15}{2},\dfrac{6}{2}\right)[/tex]
[tex]\\ \rm\hookrightarrow (x,y)=(7.5,3)[/tex]
What is (f - g)(x)? f(x) = 3x g(x) = -3x² + 3x Write your answer as a polynomial or a rational function in simplest form.
Answer:
3x²
Step-by-step explanation:
(f - g)(x)
= f(x) - g(x)
= 3x - (- 3x² + 3x) ← distribute parenthesis by - 1
= 3x + 3x² - 3x ← collect like terms
= 3x²
algebra 2 help please????
Answer:
Sqrt(-108)=6i*sqrt(3)
Step-by-step explanation:
-108=3*6*6*(-1). Sqrt(-108)=6i*sqrt(3) where i is iota
Kira has breakfast in a restaurant. She leaves $1.80 for a 20% tip. What is the price of Kira's breakfast, before the tip?
Answer:
percent* base = amount
.2 * x = 1.80
x = 1.80/.2
x= $9
Step-by-step explanation:
Its line segment please
Answer:
A) 29
Step-by-step explanation:
DG = GJ
GJ = DG = 4x + 17
DJ = DG + GJ
11x + 25 = 4x + 17 + 4x + 17
11x + 25 = 4x + 4x + 17 + 17 {Combine like terms}
11x + 25 = 8x + 34
Subtract 25 from both sides
11x = 8x + 34 - 25
11x = 8x + 9
Subtract 8x from both sides
11x - 8x = 9
3x = 9
Divide both sides by 3
x = 9/3
x = 3
DG = 4x + 17
= 4*3 + 17
= 12 + 17
DG = 29
Answe]here g is apoint on dj sdj = dg + gj 11x + 25 = dg + 44x + 14 11x - 44x + 25 - 14 = dg - 33x + 11 = dg
11 x + 25=8x+34
x=3
dg= 4×3+17=29
thank you
Brody has a points card for a movie theater.
He receives 60 rewards points just for signing up.
He earns 12.5 points for each visit to the movie theater.
He needs at least 150 points for a free movie ticket.
What is the least number of visits he needs to make in order to earn a free movie ticket?
Can somone help me pls
Answer:
Step-by-step explanation:
Answer:
D A B C
Step-by-step explanation:
Greater than means line going right
Less than means line going left
Open circle means no equal to sign
Closed circle means equal to sign
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.
What is the slope of the graph shown below?
A. 1/2
B. -2
C. 2
D. 1
simplify 2 root 3 + 3 root 3 - 4 root 3
Answer:
√ 3
Step-by-step explanation:
2√3 + 3√ 3 - 4√ 3
5√3 - 4√ 3
1√3
=> √ 3
Answer:
→ 2√3 + 3√3 - 4√3
= (2+3-4)√3
= (5-4)√3
= √3
Therefore, √3 is the right answer.
What is the length of a rectangle with width 12in. and area 66in.²?
Answer:
5.5 inches
Step-by-step explanation:
Because Length * Width = Area, Length * 12 = 66.
If we solve for Length by dividing both sides by 12, we end up with Length = 5.5 inches
During a walk on a trail, Rose walked a total of 3,674 steps. Assume that she takes the same number of steps each time she
walks this same trail and that she walks this same trail 11 times. Estimate the number of steps Rose would take after all 11
walks.
Round each walk to the nearest hundred steps before calculating.
Answer:
40,790 steps
Step-by-step explanation:
3674 rounds to 3700
3700*11 = 3700*10+3700*1 = 37000+3700 = 40,790
Answer:
Step-by-step explanation:
3.674 is rounded to 3,700 steps every 11 walks.
3,700 x 11 Walks= 40, 700
PLEASEE HELP I WILL GIVE A BRAINLY
Answer:
a) 7x words
b) 1000/x days
c) 15000 + 10x words
Step-by-step explanation:
The best way to do this would be to plug in real numbers to see how each situation would play out. For example, for part a, let's say he learns 20 new words each day. One week has seven days, so that would be 20 x 7, which is 140 words. You multiply the # of days by the # of words, which is x.
For part b, if he tried to reach 1000 new words by doing 20 new words a day, you would find how long that would take by doing 1000 / 20, which would give you 500 days. You divide the # of new words he's trying to reach by the # of words a day.
For part c, he already has a set # of new words that he's learned, and now he's just continuing the progress, so you start out with 15000, then add that to 10 new words a day multiplied by # of days (x).
What is 7.5 divided by .05 PLEASE SHOW WORK ASAP!!
Answer:
the answer to that is 150
help if you can id appreciate it
Less than 14 means
x < 14
Answer:
A. x < 14
Step-by-step explanation:
'<' = "less than"
'=' = "equal to"
'>' = "greater than"