Given:
Center of a circle is at point C(-1,2).
AB is the diameter of the circle.
Coordinates of the point A are A(2,6).
To find:
The coordinates of point B.
Solution:
Let the coordinates of point B are (a,b).
If AB is the diameter of the circle, then A and B are end points of diameter of the circle and the center C is the midpoint of AB.
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
Point C = Midpoint of AB
[tex](-1,2)=\left(\dfrac{2+a}{2},\dfrac{6+b}{2}\right)[/tex]
On comparing both sides, we get
[tex]\dfrac{2+a}{2}=-1[/tex]
[tex]2+a=-1\times 2[/tex]
[tex]a=-2-2[/tex]
[tex]a=-4[/tex]
Similarly,
[tex]\dfrac{6+b}{2}=2[/tex]
[tex]6+b=2\times 2[/tex]
[tex]b=4-6[/tex]
[tex]b=-2[/tex]
Therefore, the coordinates of point B are (-4,-2).
12
Activity 2
1. Express each as a unit rate.
a) A car travelled 150 km in 3 hour. Show your work.
Given:
A car traveled 150 km in 3 hour.
To find:
The unit rate.
Solution:
We have,
Distance = 150 km
Time = 3 hours.
In this case speed is the unit rate.
[tex]Speed=\dfrac{Distance}{Time}[/tex]
Substituting the given values, we get
[tex]Speed=\dfrac{150\text{ km}}{3\text{ hr}}[/tex]
[tex]Speed=50\text{ km/h}[/tex]
Therefore, the unit rate is 50 km/h.
A line segment joins points P(-1, -7) and Q (7, 3) Determine the length of PQ to 1 decimal place?
This unit is square roots and Pythagorean Therorum.
Answer:
12.8 units
Step-by-step explanation:
PQ=(X2-X1)²+(Y2-Y1)²
=(7-(-1))²+(3-(-7)
=164
then find square root of 164 that gives you 12.8units
Pam is placing a bird feeder in a tree in her back yard. She first needs to put up a 10-inch wooden platform in the fork of two tree branches that make a 52° angle, as shown below. What equation can Pam use to determine xthe distance up the tree trunk from the fork at she should drill attach the platform?
Answer:
[tex]x = \frac{10}{\tan(52^o)}[/tex]
Step-by-step explanation:
Given
See attachment for illustration
Required
Equation to find x
The relationship between angle [tex]52^o[/tex] and side lengths x and 10 inches is by tangent formula which is given by:
[tex]\tan(\theta) = \frac{Opposite}{Adjacent}[/tex]
So, we have:
[tex]\tan(52^o) = \frac{10}{x}[/tex]
Make x the subject
[tex]x = \frac{10}{\tan(52^o)}[/tex]
Which of the following best describes the graph below?
answer?? please answer
Answer:
The y-value of Function A when x = 2 is GREATER than the y-value of Function B when x = 2
Step-by-step explanation:
✔️Find the equation of Function A:
To do this, find the y-intercept (b) and slope (m):
Slope (m) = change in y/change in x
Using (4, 13) and (5, 17),
Slope (m) = (17 - 13)/(5 - 4) = 4/1
m = 4
To find b, substitute (x, y) = (4, 13) and m = 4 into y = mx + b
13 = 4(4) + b
13 = 16 + b
13 - 16 = b
b = -3
To write the equation for Function A, substitute m = 4 and b = -3 into y = mx + b
Thus:
y = 4x - 3
Next, find the y-value of Function A when x = 2 by substituting x = 2 into y = 4x - 3
Thus:
y = 4(2) - 3
y = 8 - 3
y = 5
✅The y-value of Function A when x = 2 is 5
✔️Equation for Function B is given as,
y = ½x + 1
Find the y-value of Function B when x = 2 by substituting x = 2 into y = ½x + 1
Thus:
y = ½(2) + 1
y = 1 + 1
y = 2
✅The y-value of Function B when x = 2 is 2
Therefore, the correct statement is:
The y-value of Function A when x = 2 is greater than the y-value of Function B when x = 2
If I have a right triangle ab=12 and ac=15 what is BC
Answer:
9
Step-by-step explanation:
B²=H²-P²
B²=15²-12²
B²=81
√B=9
therefore it's 9
The answer of the puzzle is?
PLEASEEE HELPPP ILL MARK BRAINLY
Step-by-step explanation:
this is the first time ⏲️has a very
Lebron has committed to a new workout plan at the beginning of January. He begins by doing 10 pushups on January 1 and will increase the number of pushups by 2 each day. How many pushups will he do on January 31? Show your calculations.
Answer:
ok so if he starts by doing 10 and does 2 evrey day that means he will be doing 70 push ups on the last day of the month since
2*30+10=70
Soduko help please show work please answer BORH questions
Answer:
Step-by-step explanation:
A delivery company has 2 shipping options. One option is to pay a flat fee of $16 for a single package regardless of weight. The other option is to
pay a fee of $4.50 plus $1.70 per pound for a single package.
Which system of equations can be used to determine the weight, w, of the package, in pounds, where the cost, c, will be the same for both
shipping options?
Step-by-step explanation:
the equation is
c =>
4.50 + 1.70 w = 16
which answer represents the series in sigma notation 1+1/4+1/16+1/64+1/256+1/1024+1/4096
Answer:
1/(4^(n-1))
Step-by-step explanation:
if you start at zero then this should be the solution
explicit formula for an the nth term of the sequence 38,48,58
Answer:
10n + 28
Step-by-step explanation:
a + d (n-1)
a = 38
d = 10
38 + 10 (n-1)
38 + 10n -10
10n +38 - 10
10n + 28
Hope this helps!
Choose the appropriate value for LR for the following similar triangles given below.
A. 18
B. 20
C. 12
D. 14
A common factor of 3k and 18 that is greater than 1 is
Answer and Step-by-step explanation:
A common factor of 3k and 18 is 3.
3 goes into both of these numbers, and is greater than 1.
#teamtrees #PAW (Plant and Water)
Please help me solve my problem!!!
HELP ASAP
Distinguish whether the following expression has like terms and identify them. If it does, separate the like terms from the rest of the terms and organize the expression so that you can combine the like terms. Combine the like terms and write the word in simplest form. Show all of your work.
-3x3z2 + 2xz + 4x3z2 − 2x2z3
Answer:
sdfgfgav
Step-by-step explanation:
write an integer for this situation
1 . $50 deposit
3x-y=-1. X-2y=-12 solve by using graphing
Answer:
x = 2
y = 7
Step-by-step explanation:
Graphing calculators are everywhere but ok.
I attached a graph.
A retail store served 923 customers in October, and there were 45 complaints during that mo
What is the experimental probability that a customer complains?
Let's try that again
Answer:
Experimental probability [Customer complains] = 45 / 923
Step-by-step explanation:
Given:
Total number of customer in store = 923 customers
Total number of complaints in October = 45 Find:
Find;
Experimental probability [Customer complains]
Computation:
Probability of an event = Number of favorable outcomes / Total number of outcomes
Experimental probability [Customer complains] = Total number of complaints in October / Total number of customer in store
Experimental probability [Customer complains] = 45 / 923
Write an equation to match the situation below. Then, use your equation to solve for the variable.
Haley received $278.25 in her paycheck for working h hours this week. She makes $13.25 per hour.
I
A submarine first went down 725 feet below sea level. It then went up 150 feet. What was the final depth of the submarine?
Answer:
575 feet
Step-by-step explanation:
the final depth = 725-150= 575
I'll give you more points but you have to answer all the parts to the question. I need this plsssss ty lol. Show all work too plssss.
Answer:
a) 34mi
b) 10mi
c) 44mi
d) by Calculating the amount of miles it would take John to go to school plus the amount of miles it would take Sara to go to school. Then add the sum of the amount of miles it took for both to go to school.
Step-by-step explanation:
a) explanation:
[tex]a^{2} +b^2=c^2[/tex]
[tex]16^2+30^2=c^2[/tex]
[tex]256 + 900 = c^2[/tex]
[tex]c^2=1156[/tex]
[tex]\sqrt{1156}=34mi[/tex]
b) explanation:
[tex]a^{2} +b^2=c^2[/tex]
[tex]6^2+8^2=c^2[/tex]
[tex]36+64=c^2[/tex]
[tex]c^2=100[/tex]
[tex]\sqrt{100} =10mi[/tex]
c) explanation: we already have all the data from John's house to Sara's House.
John's House to Sara's House = John's House to School + Sara's House to School.
Sara's House to School (Question #1) = 34mi
John's House to School (Question #2) = 10mi
34(mi) + 10(mi) = 44(mi)
d) explanation: explanation is on the answer
What is the value of x to the nearest tenth?
A)7.2
B)4.8
C)12.0
D)9.2
Answer:
x = 7.2
Step-by-step explanation:
a² + b² = c²
x² + (19.2/2)² = (24/2)²
x² + 9.6² = 12²
Subtract 9.6² from both sides
x² = 12² - 9.6²
x² = 51.84
x = 7.2
Please help I need it!!!
Answer:
I think it is the first one i think
Step-by-step explanation:
Find the solution of y = 6x + 1 for x = 5
Answer:
y equals to 31
Step-by-step explanation:
6(5) = 30
30+1 = 31
simplify 3(2x+4y-y) i need help with that please
Triangle ABC is shown on the grid below. Which value best represents the length of AB
Answer:
Lenght us 6
Step-by-step explanation:
What’s the answer?? Pls help
Answer:
11
Step-by-step explanation:
w
Luke listens to the three most popular songs on the radio this week. The length of each song is shown
#1 song: 3 minutes
57
#2 song
2 minutes
60
3
#3 song: 45 minutes
4
What is the length of the three songs altogether?
minutes
You may use the scratchpad to show your work.
Enter your answer as a fraction.
Answer:
51.97.
not sure if this is correct.
Step-by-step explanation:
ANSWER PLEASE!!!!!!!!!!!!!
Answer:
It would be a negative linear association if not then nonlinear association.
Step-by-step explanation: