Which option correctly shows how this formula can be rearranged to isolate x^2?
Options in picture.
Answers
Answer:
A
Step-by-step explanation:
We have:
[tex]\displaystyle m=\frac{x_1-x_2}{y_1-y_2}[/tex]
And we want to isolate x₂.
So, let’s first remove the denominator by multiplying both sides by it:
[tex]\displaystyle m(y_1-y_2)=\frac{x_1-x_2}{y_1-y_2}(y_1-y_2)[/tex]
The right side will cancel. This will leave:
[tex]\displaystyle m(y_1-y_2)=x_1-x_2[/tex]
Now, we can subtract x₁ from both sides. So:
[tex]\displaystyle m(y_1-y_2)-x_1=-x_2[/tex]
Finally, we will multiply both sides by -1. So:
[tex]\displaystyle x_2=-m(y_1-y_2)+x_1[/tex]
Hence, our answer is A.
Related Questions
Solve the following compound inequality.
5x + 7 ≤ -3 OR 3x - 4 ≥ 11
A. -2 ≤ x ≤ 5
B. x ≤ -2 OR x ≥ 5
C. x ≤ -15 OR x ≥ 12
D. x ≥ 5
Thank you!
Answers
Answer:
B
Step-by-step explanation:
We have the compound inequality:
[tex]5x+7\leq-3 \text{ or } 3x-4\geq 11[/tex]
Since this is an “OR” inequality, we can solve each inequality individually. So:
1)
We have:
[tex]5x+7\leq-3[/tex]
Subtract 7 from both sides:
[tex]5x\leq -10[/tex]
Divide both sides by 5:
[tex]x\leq-2[/tex]
So, the first solution is above.
2)
We have:
[tex]3x-4\geq 11[/tex]
Add 4 to both sides:
[tex]3x\geq15[/tex]
Divide both side by 3:
[tex]x\geq5[/tex]
Our second solution is above.
Therefore, our solution is:
[tex]x\leq -2 \text{ or } x\geq5[/tex]
Since our original inequality is “OR,” our solution set remains an “OR.”
Hence, our answer is B.
Write a linear function role for the data in the table.
Answers
Here you go- y=-2x+3
how do you write 7,870 in scientific notations ?
Answers
Answer:
7.87X10^3
Step-by-step explanation:
^ means to the power of
Ryan conducted a 6 day study observing the effects of an organic plant food on the growth of his sprouting bean plant. He tracked these two pieces of info:
1. The amount of plant food remaining in the container after each days study.
2. The height of the plant over time.
Ryan found that the amount of plant food remaining decreased an equal amount each day. He used the entire 72 millimeters by the end of his study. Question
Determine the domain and the range for this relationship.
0≤y ≤6
0 ≤x ≤72
{0, 12, 24, 36, 48, 60, 72}
0 ≤x ≤6
{0,1,2,3,4,5,6}
{0,6,12,18,24,30}
0 ≤y ≤72
Answers
Answer:
Domain: [tex]0\leq x\leq 6[/tex]
Range: [tex]\{0, 12, 24, 36, 48, 60, 72\}[/tex]
Step-by-step explanation:
Let [tex]y[/tex] or [tex]f(x)[/tex] be equal to the amount of plant food that remains after each day.
[tex]x[/tex] be the number of days that have passed.
Total amount of plant food used is 72 mm.
Number of days the experiment goes on is 6 days.
Plant food used each day is [tex]\dfrac{72}{6}=12\ \text{mm}[/tex].
So, the function will be
[tex]y=f(x)=72-12x[/tex]
at
[tex]x=0,y=72[/tex]
[tex]x=1,y=72-12\times 1=60[/tex]
[tex]x=2,y=72-12\times 2=48[/tex]
[tex]x=3,72-12\times 3=36[/tex]
[tex]x=4,72-12\times 4=24[/tex]
[tex]x=5,72-12\times 5=12[/tex]
[tex]x=6,72-12\times 6=0[/tex]
Value of [tex]x[/tex] is the domain which is [tex]0\leq x\leq 6[/tex].
Value of [tex]y=f(x)[/tex] is the range which is [tex]\{0, 12, 24, 36, 48, 60, 72\}[/tex].
2m² +2m- 24=0
Alguien me podría ayudar a decirme gracias .
Answers
Answer:
Required Answer:-[tex]{:}\longrightarrow[/tex][tex]\sf 2m^2+2m-24=0 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 2m^2-6m+4m-24=0 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 2m (m-6)+4 (m-6)=0[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf (2m+4)(m-6)=0 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf (2m+4)=0{\quad}or\: (m-6)=0 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 2m=-4=0 {\quad}or\: m=6 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf m={\dfrac {4}{-2}}{\quad}or\: m=6 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf m=-2 {\quad} or\:m=6 [/tex]
[tex]\therefore[/tex][tex]{\underline{\boxed{\bf m=-2,6}}}[/tex]
zero is an integer?
Answers
Answer:
yes it is because 0-4 is an integer
Step-by-step explanation:
Answer:
yes, it is also a whole number.
Step-by-step explanation:
Hope this helps and have a good day! :)
can we anbody help me with this
Answers
Answer:
The answer is A
Step-by-step explanation:
You can tell if you look at it closely. Sorry, no real explanation, but hope this helps
12. The number of student athletes at a local high school is 300 and is increasing at a rate of
8% per year. What is the expected number of student athletes at the school in 5 years if
this rate continues?
Answers
300*.08= 24
300+24= 324
24*4= 96
324+96= 420
420 athletes are expected
Is this a valid argument ?Given:if an object is in the dhape of a sphere ,then it rolls. This ball is in the shape of a sphere . Conclusion:this ball rolls
Answers
Answer:
The answer is "yes, it uses the Law of Detachment as an argument".
Step-by-step explanation:
It is also the method of getting it all in the world in which we give up. It will not imply whether they give up our desire. They may not leave the desire so, we do never give up.
In this, it is committed to the outcome as long as it mixes separate purpose with such a separate result, we shall get whatever we want.In this law, If an element is true, and its hypothesis is true, Symbolically, if p, as well as p and q both, are true.help meee will mark brainliest
Answers
Answer:
I believe it is B -4/5 I am sorry if I am wrong. If I am right hope this helps and please mark brainlist.
Here are recipes for two different banana cakes. Information for the first recipe is shown in the table.
1st Recipe: y = 1.5x
2nd Recipe: y = 7/4x
If you used 4 cups of sugar, how much flour does each recipe need?
a. First: 2 cups, Second: 8 cups
b. First: 7 cups, second: 6 cups
c. First: 4 cups, second: 2 cups
d. First: 6 cups, Second: 7 cups
Answers
Answer:
d. First: 6 cups, Second: 7 cupsStep-by-step explanation:
Using the formulas to find the amount of flour needed:
1. y = 1.5x = 1.5*4 = 6 cups2. y = 7/4x = 7/4*4 = 7 cupsCorrect choice is d.
Together teammates Pedro and Ricky got 2689 base hits last season Pedro had 281 more hits than Ricky how many hits does each player have?
Answers
Explanation:
- Let R be the number of hits that Ricky had
- Let P be the number of hits that Pedro had
R + P = 2689
But Pedro has 281 more hit than Ricky
Thus, P = R + 281
Substitute this value in our first equation
R + R + 281 = 2689
2R + 281 = 2689
2R = 2689 - 281
2R = 2408
R = 2408/2
R = 1204
And P = R + 281
But R = 1204
=> P = 1204 + 281 = 1485
Therefore, Pedro has 1485 base hit and Ricky has 1204 hit.
If the ordered pairs graphed are all equivalent ratios, what ordered pair is missing?
Answers
Answer:
12,3
Step-by-step explanation:
x axis is going by 4
y axis is going by 1
If you can solve both of these ill give brainliest with work!
Answers
Answer:
1) 4 ft
2) Length =69
Width=64
Step-by-step explanation:
1) 2x-2+2x-2+x-2+x-2=x+x-1+x-1
6x-8=3x-2
6x-3x=-2+8
3x=6
x=2
plugging it back in, we get for the triangle
2+2-1+2-1=4 (same answer for the rectangle, although it would have a width of zero)
2) w+w+w+5+w+5=266
4w+10=266
4w=266-10
4w=256
w=64
l=64+5=69
Ryan achieved an 89% on the same multiple choice test. He answered some questions correctly, left at least one blank and
got at least one wrong answer. He also got some possible points for extra credit. Give one possible answer combination of the
questions Ryan could have answered on the multiple-choice test.
Answers
Answer:
Ryan could have answered multiple choice answers and true or false answers rather than knowledge answer like written prompts
Step-by-step explanation:
Hope this helped:)
PLS HELP!!!!!!!!!!!!!
Answers
60x+60y=900
-60x-75y=-1035
————————
-15y=-135
—————-
-15=-15
y=9
So the answer should be 9.
The ratio of girls to boys at soccer practice is 3:4. If on Saturday there will be a total of 42 players, how many boys will be playing and how many girls?
Answers
Answer:
[tex]Boys = 24[/tex]
[tex]Girls = 18[/tex]
Step-by-step explanation:
Given
[tex]G:B= 3:4[/tex]
[tex]Total = 42[/tex]
Required
Determine the number of boys and girls
We have to convert the ratio to fraction;
Number of girls can be calculated as:
[tex]Girls = \frac{G}{G + B} * Total[/tex]
[tex]Girls = \frac{3}{3 + 4} * 42[/tex]
[tex]Girls = \frac{3}{7} * 42[/tex]
[tex]Girls = 3 * 6[/tex]
[tex]Girls = 18[/tex]
[tex]Boys = Total - Girls[/tex]
[tex]Boys = 42 - 18[/tex]
[tex]Boys = 24[/tex]
Every female bear has 3 baby cubs. What is the constant of proportionality for the ratio of cubs to female bears? (4 points)
one-half
one-third
3
2
Answers
***3***
The constant of proportionality for the ratio of cubs to female bears is 3.
The constant of proportionality is typically used when we are comparing something with another thing.
In this case, since every female bear has 3 baby cubs, the constant of proportionality for the ratio of cubs to female bears will be:
= 3/1
= 3
In conclusion, the correct option is 3.
Read related link on:
https://brainly.com/question/18636645
5x + 5 - 2x - 1 which of the following is an equivalent expression
Answers
Answer:
3x + 4
Step-by-step explanation:
5x + 5 - 2x - 1
3x + 5 - 1
3x + 4
find the slope
13. y=-x+0
14. y=(7/14)x+2
15. y=(2/4)x+1
16. y=3x-4
Answers
13) -1
14) 7/14
15) 2/4 or 1/2
16) 3
Which of the following inequalities is equivalent
to -31 + 12s <3s + 15 ?
Answers
Answer:
-31+12s
Step-by-step explanation:
The required inequality that is equivalent to -31 + 12s < 3s + 15 is 9s < 46.
Given that,
To determine the inequalities is equivalent to -31 + 12s <3s + 15.
Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
Here,
-31 + 12s < 3s + 15
12s - 3s < 15 + 31
9s < 46
Thus, the required inequality that is equivalent to -31 + 12s < 3s + 15 is 9s < 46.
Learn more about inequality here:
brainly.com/question/14098842
#SPJ6
Benji wrote the expression below to match the description "three less than the quotient of a number and nine" he wrote “3-n/9”explain benji's error
Answers
The correct response should be: (n/9)-3
given m/n find the value of x if (x-3) and if (8x +3 )
Answers
Answer:
x= 8 Step-by-step explanation:
It will really help if you answer atleast 2 of them
Answers
2. 8 x 43 = 344
8 x 43 = 8 (40 + 3)
8 x 43 = 320 + 24
3. 6 x 532 = 3192
6 x 532 = 6 (500 + 30 + 2)
6 x 532 = 3000 + 180 + 12
4. 5 x 923 = 4615
5 x 923 = 5 (900 + 20 + 3)
5 x 923 = 4500 + 100 + 15
I hope this helps :)
PLEASE HELP ME WITH THIS!!!
calculate the combined surface area of the following three dimensional objects
Answers
Answer:
455.53cm^2
Step-by-step explanation:
diameter of hemisphere = 10cm
radius of hemisphere = 10/2 cm = 5cm
height of hemisphere = radius of hemisphere = 5cm
height of cylinder = 12cm - 5cm = 7cm
surface area = 2pi(5)7 + pi(5)^2 + 2pi(5)^2 = 455.53cm^2 (5sf)
Answer:
455.53cm^2
Is this correct?
16x what equals -112
Answers
Answer:
-7
Step-by-step explanation:
16x=-112
x=-112/16
x=-7
PLS GIVE BRAINLIEST
What in 5 plus 5 divided by 2 plus 100
Answers
1.02 looooooool
Answer:
107.5
Step-by-step explanation:
Make sure you use PEMDAS! (parentheeses, exponets, multiplication, divison, addition, and subtraction!)
So, 5/2 is 2.5 plus 100 is 102.5 plus another 5 is 107.5! Hope this helped :)
its past due so plz help me
Answers
Answer:
y= 5/8x
Step-by-step explanation:
When it says y is it typically means y=.
When it says 5/8 of a number or of a variable it means that number times that variable.
Hope this helps!
IM GONNA RUn OuT Of PoInTs HeLp Me tho
Loves you's
(Find x Answer to get 5 stars. a thanks, and brainliest)
[ Happy Thanksgiving Eat yo Turkey boi]
Answers
Answer:
I recommend using m a t h w a y . c o m
Step-by-step explanation:
its the best, and happy thanksgiving
Answer:
1 = 3 ( None )
Step-by-step explanation:
There is no x.
Which best describes the relationship between the 125° angle and angle A?
They are same side interior angles. Angle A measures 55°.
They are alternate interior angles. Angle A measures 125°.
They are vertical angles. Angle A measures 125°.
They are corresponding angles. Angle A measures 55°.
Answers
Answer:
A.
Step-by-step explanation:
They are same side interior angles. Angle A measures 55°.
PLEASE MARK IT AS BRAINLIEST
Answer:
They are same side interior angles. Angle A measures 55°.
Step-by-step explanation:
just is