Answer:
B(-2, -7)
Step-by-step explanation:
The ratio requirement means ...
(B-A)/(C-B) = 3/2
2(B-A) = 3(C-B) . . . . cross multiply
2B -2A = 3C -3B . . . eliminate parentheses
5B = 2A +3C . . . . . . add 3B+2A
B = (2A +3C)/5 . . . . divide by 5
Now that we have a formula for B, we can fill in the given point values:
B = (2(4, 2) +3(-6, -13))/5 = (8-18, 4-39)/5 = (-10, -35)/5 = (-2, -7)
The coordinates of B are (-2, -7).
Solve:||x-3|-2|≤1
Please show work!
Thanks
Answer:
Step-by-step explanation:
Hello,
We know that
[tex]|x|=\begin{cases}x & \text{if } x\geq 0 \\ -x & \text{if } x<0 \end{cases}[/tex]
So we need to take into account two cases
Case 1 - [tex]x-3\geq 0<=> x\geq 3[/tex]
Then, |x-3|=x-3
||x-3|-2|=|x-3-2|=|x-5|
Either x-5 is positive and then |x-5|=x-5 and
[tex]|x-5|\leq 1<=>x-5\leq 1<=>x\leq 6[/tex]
Or x-5 is negative and then, |x-5|=-x+5
[tex]|x-5|\leq 1<=>-x+5\leq 1<=>4\leq x[/tex]
So the solution is [4;6]
Case 2 - [tex]x-3< 0<=> x< 3[/tex]
Then, |x-3|=-x+3
||x-3|-2|=|-x+3-2|=|-x+1|
Either -x+1 is positive and then |-x+1|=-x+1 and
[tex]|-x+1|\leq 1<=>-x+1\leq 1<=>0\leq x[/tex]
Or -x+1 is negative and then, |-x+1|=x-1
[tex]|-x+1|\leq 1<=>x-1\leq 1<=>x\leq 2[/tex]
So the solution is [0;2]
Conclusion
The solution is [0;2]∪[4;6]
Thanks
What is the distance between the point in Maine and the point in Tennessee? Round to the nearest tenth.
Answer:
The distance between the point is 1806 unit
Step-by-step explanation:
Given that,
The distance between the point in Maine and the point in Tennessee.
Suppose, The points are (-801,670) and (990,900)
We need to calculate the distance between the point
Using formula of distance
[tex]d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]
Put the value into the formula
[tex]d=\sqrt{(990-(-801))^2+(900-670)^2}[/tex]
[tex]d=1806\ unit[/tex]
Hence, The distance between the point is 1806 unit.
If the probability of getting a particular result in a experiment is 75.3% what is the probability of not getting the result
Answer:
100%-75.3%
Step-by-step explanation:
The total probability of all outcomes is 100%.
If the probability of a particular result is 75.3% then all other possibilities (not the particular event) must equal 100% - 75.3%.
Question 14 Multiple Choice Worth 1 points)
(02.05 LC)
+
The amount $4.50 is 6% of what price?
O $10.50
O $13.30
O $27.00
O $75.00
Answer:
.27
Step-by-step explanation:
4.5*6/100
=.27
Answer:
$27.00
I stayed up all night studying for this test and I got the question right haha
32 times 18 +52 = what plz help
Answer:
3640 and hi its meeeee i finally found you
Step-by-step explanation:
At 6 am, the temperature was 73 degrees Fahrenheit. By noon, then temperature had rose 8 degrees. At 4 pm, the temperature was 5 degrees warmer than it was at noon. By 9 pm, the temperature had dropped 16 degrees. What was the temperature at 9 pm?
Answer:
70 degrees Fahrenheit
Answer:
70
Step-by-step explanation:
We started at 73 degrees and the temperature rose by 8 degrees so 73 + 8 = 81. At 4 pm, the temperature rose again by 5 degrees so 81 + 5 = 86. By 9 pm, the temperature dropped 16 degrees so 86 - 16 = 70, Therefore, the temperature at 9 pm was 70 degrees.
Find
-/16. (4 points)
a
-4
ob
4
Ос
+4
Od
-8
Answer:
4i
Step-by-step explanation:
I hope its not too complicated
[tex]\sqrt{-16} \\\\\mathrm{Apply\:radical\:rule}:\quad \sqrt{-a}=\sqrt{-1}\sqrt{a}\\\\\sqrt{-16}=\sqrt{-1}\sqrt{16}\\\\\mathrm{Apply\:imaginary\:number\:rule}:\quad \sqrt{-1}=i\\\\=\sqrt{16}i\\\\\sqrt{16}=4\\\\=4i[/tex]
Find the indicated values, where gt) = 12 - and Ax) = 1 + X.
g(f(2) + 3)
a. 1
b. 3
c. 30
d. -1
Please select the best answer from the choices provided
ΟΑ
B
OD
Answer:
c
Step-by-step explanation:
Some plz solve both for meeeeee <33
10. 4w^2 + 7w^2 + 7z^2
Combine each term with the same variable.
11w^2 + 7z^2
This is in simplest form.
11. 3x + 4(5x + 2)
Multiply each term inside the parentheses by 4.
3x + 20x + 8
Combine all the terms with the same variable.
23x + 8
This is in simplest form.
please help me and also show work plz
Answer:
[tex]\boxed{k = -6}[/tex]
Step-by-step explanation:
[tex]13 +\frac{k}{3} =11[/tex]
→ Multiply everything by 3
[tex]39 + k = 33[/tex]
→ Minus 39 from both sides to isolate k
[tex]k = -6[/tex]
Which term of the AP : 8, 13, 18, 23, 28, ... is 6 times the 7 th term?
(2) 15th
(1) 35th
(3) 25th
(4) 45th
7x + 3y = 9 (for x)
solve it for x
Answer:
x = 9/7 - (3 y)/7
Step-by-step explanation:
Solve for x:
3 y + 7 x = 9
Hint: | Isolate terms with x to the left-side.
Subtract 3 y from both sides:
7 x = 9 - 3 y
Hint: | Solve for x.
Divide both sides by 7:
Answer: x = 9/7 - (3 y)/7
Answer:
x = ( 9 - 3y ) / 7
Step-by-step explanation:
To solve this equation for x, we will simply isolate the x.
7x + 3y = 9
7x = 9 - 3y
x = ( 9 - 3y ) / 7
Cheers.
What is 300 million divided by 1 thousand?
Answer:
the answer is three hundred thousand
kx-fy=cx+p for x ????????????
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
x=[tex]\frac{p + fy}{K - c}[/tex]
a line passes trough the point (1/2,2/3) and has a y intercept of 4. what is the slope of the line written as a fraction?
Answer:
I believe the Slope is (m) =
ΔY
ΔX
= 1/1 = 1. The answer is 1/1 instead of 1.
Step-by-step explanation:
What is the slope of the line on the graph?
Answer: C
Step-by-step explanation:
To find the slope of the line, we need to use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]. Let's take any 2 points in the graph. (-2,-1) and (1,5)
[tex]m=\frac{5-(-1)}{1-(-2)}=\frac{6}{3}=2[/tex]
Now, we know that the slope is 2.
Answer:
2
Step-by-step explanation:
To get the slope, identify two points where the line cuts both the x and the y axes.
Then apply the formula for finding the slope;
Slope = (changer in y-coordinates) ÷ (change in x-coordinates)
And the answer is 2
can you help me , would this answer be 1 ?
Step-by-step explanation:
Y=90° as its a right angled triangle
Alessandro wrote the quadratic equation -6=x2+4x-1 in standard form. What is the value of c in his new equation?
a.c=-6
b.c=-1
c.c=5
d.c=7
Answer is C.
Katy is deciding which charity to donate to. She is going to donate fifty dollars to each charity chosen, and she can donate to a women's shelter (abbreviated B), a charity for rescue animals (abbreviated R), and a children's foundation (C). The dots in the Venn diagram below show the combinations that she can donate to. Let X be the event of donating fifty dollars each to two charities for a total of one hundred dollars. Let Y be the event of donating to the charity for rescue animals. Move the dots on the Venn diagram to place the dots in the correct event, X, Y,or X AND Y. Note that you might not use all of the dots.
Answer:
Step-by-step explanation:
Which operation should you perform last in the expression 12 × 4^2?
Answer:
Multiplication
Step-by-step explanation:
Follow GEMDAS or PEMDAS. I would recommend GEMDAS. GEMDAS stands for Grouping symbols, exponents, multiply, divide, addition, subtraction. GO form the order G to S
Given: Lines a and b are parallel and line c is a transversal. Prove: 2 is supplementary to 8 What is the missing reason in the proof? Statement Reason 1. a || b, is a transv 1. given 2. ∠6 ≅ ∠2 2. ? 3. m∠6 = m∠2 3. def. of congruent 4. ∠6 is supp. to ∠8 4. def. of linear pair 5. ∠2 is supp. to ∠8 5. congruent supplements theorem corresponding angles theorem alternate interior angles theorem vertical angles theorem alternate exterior angles theorem
Answer:
vertical angles theorem
Step-by-step explanation:
Just took the test
Answer:
A. corresponding angles theorem
Step-by-step explanation:
find the inverse function of g(x) = sqrt x-7
The inverse of g(x) is x² + 7
What is a function?The function is defined as a mathematical expression that defines a relationship between one variable and another variable.
What is an inverse function?The inverse function is defined as a function obtained by reversing the given function.
To determine the inverse of a function, all you have to do is switch where x and y are and resolve for y.
We have to find the inverse of the function below :
g(x) = √(x-7)
So after switching x and y,
g(x) = y = √(x - 7)
becomes
x = √(y - 7)
Now, we solve for y regularly.
g(x) = y = √(x - 7)
Solve for y :
⇒ y² = x - 7
⇒ x² = y - 7
⇒ y = x² + 7
Therefore the inverse of g(x) is x² + 7
Learn more about inverse function here:
brainly.com/question/2541698
#SPJ2
(6 + √27) / 3 Sorry i wrote it wrong the first time.
Answer: [tex]2 + \sqrt{3}[/tex]
==============================================
Work Shown:
[tex]\frac{6 + \sqrt{27}}{3}\\\\\frac{6 + \sqrt{9*3}}{3}\\\\\frac{6 + \sqrt{9}*\sqrt{3}}{3}\\\\\frac{6 + 3\sqrt{3}}{3}\\\\\frac{3(2 + \sqrt{3})}{3}\\\\2 + \sqrt{3}\\\\[/tex]
The idea with simplifying the square root (steps 2 through 4) has us factoring 27 so that one factor is a perfect square. We want the largest perfect square factor possible.
That way when we use the rule sqrt(x*y) = sqrt(x)*sqrt(y), we pull out that perfect square to then use the rule sqrt(x^2) = x where x is nonnegative.
After simplifying the square root, we factor out the GCF and then cancel out the 3's.
x2 can be combined with X?
Answer:
Your first instinct might be to go ahead and add the x terms together, BUT this would be a bad thing to do! You cannot combine the x2 and 2x, because the first term has an exponent (2) and the second one does not have an exponent; therefore, you cannot add them together!
Step-by-step explanation:
Answer:
Not sure if you mean multiplying or adding by "combine". But generally the rule of thumb with exponents is when you are adding and they are not like terms, you cannot combine the two terms together. So in other words, they would be left as x²+x. However, when you are multiplying you can add the exponents together. So, it will be like this: x²·x = x³
Find the inverse of s.
= {(-2, -7), (0, -3), (2, 1), (4, 5), (5, 7)}
Answer:
( − 7 , − 2 ) , ( − 3 , 0 ) , ( 1, 2 ) , ( 5 , 4 ) , ( 7 , 5 )
From: iOE Your friend
:D :) *Be awesome.Be You*
My lawn is 17ft wide and 20ft long, each square foot of lawn gets 1350 new snowflakes per min how much snow in kilograms accumulates every hour average mass of snowflake is 1.70mg
Answer:
46.818 kg
Step-by-step explanation:
First, find the surface area of your yard. This is found by multiplying the length and width.
The equation for this is (l*w)=sa
So,
l=20ft
w=17ft
(20*17)= 340 square feet.
So, if each square foot gets 1350 new flakes per minute, you are going to find how much the entire yard gets in a minute by multiplying the surface area by 1350.
So,
(340*1350)= 459000 flakes for the entire yard in one minute.
Since there is 60 minutes in an hour, multiply 459,000 by 60.
459,000*60= 27,540,000 new flakes in the yard per hour.
Now, to find the weight in milligrams:
27,540,000*1.7= 46,818,000 mgs
Finally, because a kilogram is equal to one million milligrams (mg),
46,818,000/1,000,000= 46.818 kg
HELP I HAVE TO SUBMIT IN 1 HOUR
Answer:
Step-by-step explanation:
Volume = Base * height
V=2(7 1/3)
V=44/3 OR 14 2/3 Or 14.666
Which THREE storage devices are non-volatile? Non-volatile devices can store data regardless of whether they are powered on or not.
thumb drive
RAM
hard disk
ROM
Answer: Thumb drive, ROM, Hard-disk
Step-by-step explanation:
The screenshot is the question.
Answer:
23
Step-by-step explanation:
∠ABE=∠BEF=4x (AC║EF)
∠DBE=5x
∠DBF=180=∠DBE+EBF=5x+65
5x=180-65
x=23
SOMEONE ANSWER ASAP PLEASE ! M is the midpoint ofJK. The coordinates of J are (6, 3) and the coordinates of Mare (-3, 4), find the
coordinates of K.
Answer:
Step-by-step explanation:
Coordinate geometry is always used in a certain cartesian system such as the X-Y cartesian system to represents the location of a point.
For example a point
P ( x , y ) , occupies an identical position in the cartesian system and the coordinate 'x' and 'y' represents the distances of the point from the X and Y-axis respectively with respect to the origin. If a point
P ( x , y ) between two other points
A ( x 1 , y 1 )
and
B ( x 2 , y 2 ) , divides in just two halfs then point P is known as the Midpoint of the points A and B.
And
P ( x = x 1 + x 2 2 , y = y 1 + y 2 2 )