Find the equivalent equation that results from, halving both sides first and then subtracting
1 from both sides. Show each step. You do not have to solve the equation at the end,
Answer:
6x - 1 = 9
Step-by-step explanation:
1. first you have to divide every term in the equation by 2
12x/2 + 4/2 = 20/2
2. simplify
6x + 2 = 10
3. next you have to subtract one from both sides
6x + (2-1) = (10-2)
4. simplify
6x + 1 = 9
Pls help I am very confused
Answer: 22 weeks to gain $312.
Step-by-step explanation:
Let w be the number of weeks.
Equation: 48 + 12w
48 + 12(22)
= 48 + 264
= $312
It will take 22 weeks for Marty to gain $312.
Can someone please help me it's urgent!
Write a statement about each pair of lines in this construction. (3 statements)
In your own words, what does supplementary mean?
Answer:
added or serving as a supplement.
Marking brainliest
What else should I add
Step-by-step explanation:
........Student
........ Cousin
......... Child
Answer:
Step-by-step explanation:
daughter cousin (if you have any).mother (if you are one)family member (if it applies)best friend.Suppose u and v are orthogonal vectors with ||u|| =5 ||u||= 1/2 ||v||, find ||u+v||.
help pleas I will give you 15 points
Answer: 5*sqrt(5)
This is the same as sqrt(125).
It approximates to roughly 11.1803
=========================================================
Explanation:
Vector u is 5 units long as indicated by the notation ||u|| = 5. Some math books would say |u| = 5, and it's the same thing. The double bars are probably more fitting because it helps emphasize we're looking for the length of a vector and we're not using absolute value bars.
The second equation ||u|| = (1/2)*||v|| can be rewritten into ||v|| = 2*||u|| telling us that vector v is twice as long compared to vector u. Since vector u is 5 units long, that must mean vector v is 10 units long.
vector u = 5 units longvector v = 10 units longThe two vectors are orthogonal, i.e. they are perpendicular. The vector u+v represents the diagonal of the rectangle as shown below in the attached image. Vector u is horizontal, v is vertical, and u+v is the diagonal. Technically we don't know where vector u is pointed along a compass (it may or may not be pointing directly east), but I find it's easier to have it set up like this. The answer will be the same regardless of where vector u is pointed. Rotations don't affect vector lengths.
We can see that vector u+v effectively breaks down component-wise into the horizontal component u and vertical component v (think of them as x and y components respectively).
Furthermore, note how there are two right triangles that form when we draw in the diagonal of the rectangle.
To find the length of vector u+v, we apply the pythagorean theorem.
a^2+b^2 = c^2
( ||u|| )^2 + ( ||v|| )^2 = ( ||u+v|| )^2
( 5 )^2 + ( 10 )^2 = x^2
25 + 100 = x^2
125 = x^2
x^2 = 125
x = sqrt(125)
x = sqrt(25*5)
x = sqrt(25)*sqrt(5)
x = 5*sqrt(5) is the length of vector u+v
In other words, ||u+v|| = 5*sqrt(5)
Keep in mind that this trick using the pythagorean theorem only works when vectors u and v are orthogonal. The process to find ||u+v|| for non-orthogonal vectors u,v is a bit more complicated.
On+monday,+hakim+stocked+up+on+bottled+water+for+the+trip.+On+tuesday,+he+purchased+five+more+bottles+to+add+to+his+collection.+On+wednesday,+half+of+his+entire+collection+remained+and+only+had+7+left.+How+many+did+he+have+on+Monday
Answer:
the answer for this question is 2
According to the table. what is the ratio of pattern 2 to pattern 1?
A) 1/4
B) 1/2
C) 2/1
D) 1
PLS ANSWER QUICK
Answer:
Srry but there is no table.
Solve for d. 2(d − 10) = 18 d =
Step-by-step explanation:
[tex]2(d - 10) = 18 \\ 2d - 20 = 18 \\ 2d = 38 \\ d = \frac{38}{2} \\ d = 19 \\ thank \: you[/tex]
Please help ASAP!!!!!!!!!!
Answer this if you can boom bam bop
Answer:
D. $60Step-by-step explanation:
If the amount is equal and each is 20% = $12, then total is:
100% = 20%*5 = $12*5 = $60Correct choice is D
Answer:
60.00
Step-by-step explanation:
20% of 60 = 12 which equals the amount of money Peter has.
So, at $60, he has 20% and $12.00
What is 3x+5 = 2x+11
Are (2,9) and (-3,-6) both on the line y - 4x + 6? If not, find an equation for the line that does pass through both points.
Answer:
points doesn't lie in the given line.
Step-by-step explanation:
firmula for finding the equation of these points are
[tex] \frac{y - y1}{y2 - y1} = \frac{x - x1}{x2 - x1} [/tex]
x1=2 , x2=-3, y1= 9 ,y2=-6
subtitute all values in formula
[tex] \frac{y - 9}{ - 6 - 9} = \frac{x - 2}{ - 3 - 2} [/tex]
[tex]y - 3x - 3 = 0[/tex]
if we put (2,9) and (-3,-6) in new equation then they will satisfy equation.so this is the equation where points lie in the line
Write an equation of the line that passes through the point (-6, -9) with slope-5.
A. y + 9 = 5(20+6)
B.y +6 = 5(x +9)
c.y+9= -5(x + 6)
D.y +6 = -5(x +9)
Answer:
[tex]y+9=-5(x+6)[/tex]
Step-by-step explanation:
We are being asked to write the equation in point-slope form:
[tex]y-y_1=m(x-x_1)[/tex] where m = slope and the first point = [tex](x_1,y_1)[/tex]
In this case, the slope is -5 and the point is [tex](-6,-9)[/tex] so the equation will be:
[tex]y+9=-5(x+6)[/tex]
Want to learn more about point-slope form? Check the link out:
https://www.albert.io/blog/point-slope-form/#What_is_point_slope_form
a. If the average North Korean farmer produces 1,500 pounds of food per year, what is the opportunity cost, In pounds of food, of North
Korea's army?
______ pounds of food per year
b. If a person needs at least 500 pounds of food per year to survive, how many people could have been fed with the forgone food output?
_____ people
Answer:
1,920,000,000 pounds of food per year and 3,840,000 people.
Step-by-step explanation:
1,280,000 active military members could have been farmers that produced 1,500 pounds of food per year. (1,280,000 farmers x 1,500 pounds of food = 1,920,000,000).
1,920,000,000 divided by 500 pounds of food per person is 3,840,000.
-99>5-8(m+6)
need help
Answer:
m > 7
Step-by-step explanation:
[tex] - 99 > 5 - 8(m + 6)[/tex]
[tex] - 8(m + 6) = - 8m - 8 \times 6[/tex]
[tex] = - 8m - 48[/tex]
[tex] - 99 > 5 - 8m - 48[/tex]
[tex]5 - 48 = - (48 - 5) = - 43[/tex]
[tex] - 99 > - 43 - 8m[/tex]
[tex] - 99 + 8m > - 43[/tex]
[tex]8m > - 43 + 99[/tex]
[tex]8m > 56[/tex]
[tex] = m > 7[/tex]
FIND THE MISSING SIDE OF THE TRIANGLE
Answer:
[tex]use \: pythagorean \: theoram \\ {hypotenuse}^{2} = {height}^{2} + {base}^{2} \\ {x}^{2} = {12}^{2} + {9}^{2} \\ {x}^{2} = 144 + 81 \\ {x}^{2} = 225 \\ x = \sqrt{225} \\ x = 15 \\ thank \: you[/tex]
Answer:
x=15
Step-by-step explanation:
[tex]x=\sqrt{a^2+b^2}[/tex]
[tex]=\sqrt{12^2+9^2}[/tex]
[tex]=\sqrt{225}[/tex]
[tex]=15[/tex]
a flock of parrots was sitting a tree. five more joined them then half the total flew away leaving seven parrots how many were in the flock?
Answer:
9
Step-by-step explanation:
9+5=14/2=7
5(x + 3) - 2 = 2 + 5x + 9
Answer:
There is no solution
Step-by-step explanation:
[tex]5(x + 3) - 2 = 2 + 5x + 9[/tex]
[tex]5x+15-2-2-5x-9=0\\15-13=0\\2=0[/tex]
There is no solution
because 2=0 is not possible.
→5(x + 3) - 2 = 2 + 5x + 9
→5x+15-2 = 11+5x
→5x-5x = 11-13
→x = -2
~
Write down the formula of calculating the average of the individual data
I need help on this question, geometry basics.
Step 1 : F
Step 2 : C
Step 3 : B
Step 4 : E
Step 5 : D
Step 6 : A
Which interval notation represents the set of all numbers greater than -2 and less
than or equal to 3?
Answer:
yes
Step-by-step explanation:
Answer:
(- 2, 3 ]
Step-by-step explanation:
parenthesis ( ) is used when the end value is not equal
brackets [ ] are used when the end value is equal
Here numbers are greater but not equal to - 2 and less than or equal to 3
(- 2, 3 ] ← is the appropriate interval notation
Karabo is training by running for the Comrades Marathon ; he starts his training by running 40km per week . Each week he increases the distance covered by 10km (1) Use the formula to calculate the distance he runs in the 12 week of training
Answer:
hi
Step-by-step explanation:
hi
help find x for a,b,c and d i will rate thank u
Find a.
Round to the nearest tenth:
а
10 cm
150°
12°
a = [? ]cm
Law of Sines: sin A
sin B
11
sin C
sin C
С
Answer:
a= 24 cm
Step-by-step explanation:
[tex] \frac{ \sin(150) }{a} = \frac{ \sin(12) }{10} \\ a = 24[/tex]
I hope I helped you^_^
A triangle has a perimeter of 23 feet. Find the value of X
What's the area of a room that 18ft by 10ft
Answer:
180square 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.
Answer:
180 square feet
Step-by-step explanation:
if a room 18ft wide by 10ft long.18×10=180 square feet
is 16 a natural, whole, integer, rational or irrational number?
Answer:
6 is a natural, whole and integer
Step-by-step explanation:
16 is a natural, whole and integer
it is not rational or irrational because
rational numbers are written in p/q as well as irrational
natural numbers start from 1 till infinite
whole numbers start from 0 to infinite
integers include all the positive and negative numbers
Answer:
rational
Step-by-step explanation:
is 2/3greater than 0.67
Answer:
0.67>2/3
Step-by-step explanation:
If you divide 2 by 3, you will end up with 0.6.
Now, you can compare the two numbers 0.6 and 0.67.
Simplify 4(2x3 – 5x2 + 8x + 2) - 6x - 8x3
Answer:
- 20x² + 26x + 8
Step-by-step explanation:
Given
4(2x³ - 5x² + 8x + 2) - 6x - 8x³ ← distribute parenthesis by 4
= 8x³ - 20x² + 32x + 8 - 6x - 8x³ ← collect like terms
= - 20x² + 26x + 8