Answer:
[tex](x-7)^2+(y-1)^2=100[/tex]
Step-by-step explanation:
1) Find the radius
We can do this by using the distance equation with the centre (7,1) and the given point (-1,-5):
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] where the two points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in the points (7,1) and (-1,-5)
[tex]d=\sqrt{(-1-7)^2+(-5-1)^2}\\d=\sqrt{(-8)^2+(-6)^2}\\d=\sqrt{64+36}\\d=\sqrt{100}\\d=10[/tex]
Therefore, the radius of the circle is 10 units.
2) Plug the data into the equation of a circle
Equation of a circle (when not centred at the origin):
[tex](x-h)^2+(y-k)^2=r^2[/tex] where the centre is [tex](h,k)[/tex] and r is the radius
Plug in the centre (7,1) as (h,k)
[tex](x-7)^2+(y-1)^2=r^2[/tex]
Plug in the radius 10
[tex](x-7)^2+(y-1)^2=10^2\\(x-7)^2+(y-1)^2=100[/tex]
I hope this helps!
If the figure is reflected over the x-axis, what are the coordinates of point R?
Answer:
R' (3,-3)
Step-by-step explanation:
Find the slope of a line that passes through the points (-7, 3) and (5, 6).
Answer:
the formula to find slope is m=∆y/∆y
this means m=y2-y1/x2-x1
using this formula
m=5-3/6-(-7)
m=2/13
Answer:
The slope is 0.25
Step-by-step explanation:
necesito saber el valor que falta en esta fraccion 12/30 = ?/45
Answer:
28/45????????????????
Step-by-step explanation:
How many miles are in 506,880 inches
Answer:
8 miles
Step-by-step explanation:
Answer:
8 miles
Step-by-step explanation:
1 mile:63360 inches
506880 divided by 63360 = 8
Solve and explain please
Answer:
x = 14Step-by-step explanation:
7x + 9 = 9x - 19. [Corresponding Angles]
=> 9x - 19 = 7x + 9
=> 9x - 7x = 19 + 9
=> 2x = 28
[tex] = > x = \frac{28}{2} [/tex]
=> x = 14 (Ans)
Josh has solved for x in the inequality below
5-2x>3
-2x>-2
x>1
Choose the statement that is true regarding Josh's work shown above.
A- The solution is incorrect. Josh should have added 2x on both sides.
B- The solution is incorrect. Josh should have added 5 instead of subtracting 5.
C- The solution is incorrect. Josh should have flipped the inequality sign.
D- Josh's work and solution is correct.
Answer:
c
Step-by-step explanation:
cause he has to devide by a negative
Can some one help me ASAP and thanks :)
Step-by-step explanation:
Hi,
For the first one...
Input: 0 Output: 1
Input: 2 Output: 2
Input: -8 Output: -3
Input: 100 Output: 51
And then for the creat your own...
Divide by 5 and add 3
Input: 50 Output: 13
Input: 25 Output: 8
Input: -75 Output: -12
Input: 150 Output: 33
I hope this helps :)
What is the shape of the cross-section formed when a cone intersects a
plane as shown in the drawing?
A. square
B. oval
c. triangl
d.circle
A circle is formed when a cone intersects a plane as shown in the drawing.
What is a circle?A circle is a shape consisting of all points in a plane that are given the same distance from a given point called the center.
A cross section is defined as the process where a surface is shown when a straight cut is made by something. We are given when a cone is intersected by a plane horizontally the shape of the cross - section is a circle .
When the cone is intersected vertically by a plane the shape of the cross- section will be a triangle. Hence the shape of the cross section depends according to the cut.
Cross section is usually used to find what is there inside the object.
Learn more about circle;
https://brainly.com/question/15380197
#SPJ7
What is the median of the data set shown?34, 86, 12, 56, 21, 98, 72, 34, 21, 34, 45, 23, 97, 44
Answer: The median of the data is 34
Step-by-step explanation: the reason why it is 34 is because when your dealing with medians you want to put down the number that you see the most of for example you see 34 three times so the number you see the most is 34 so the answer is 34
**Will give brainiest
Answer:
707
bc
tan(3)=a/4960
Answer:
[tex]\boxed {\boxed {\sf 260 \ feet}}[/tex]
Step-by-step explanation:
We are asked to find the driver's altitude increase. The increase in altitude is also the height of the triangle, which is labeled a.
Since this is a right triangle (signified by the small square representing a 90 degree angle), we can use trigonometry. The three trigonometric ratios are:
sinθ=opposite/hypotenuse cosθ= adjacent/hypotenuse tanθ=opposite/adjacentThe angle (θ) given is 3 degrees. Side a is opposite this angle and the side measuring 4,960 feet is the hypotenuse because it is opposite the right angle. Therefore, we use sine.
[tex]sin \theta= \frac {opposite}{hypotenuse}[/tex]
[tex]sin 3= \frac {a}{4960}[/tex]
We are solving for a, so we must isolate the variable. It is being divided by 4960 and the inverse of division is multiplication. Multiply both sides by 4960.
[tex]4960*sin 3= \frac {a}{4960}*4960[/tex]
[tex]4960*0.05233595624= a[/tex]
[tex]259.586343=a[/tex]
Round to the nearest whole number. The 5 in the tenth place tells us to round the 9 to a 0 in the ones place, then the 5 to a 6 in the tens place.
[tex]260 \approx a[/tex]
The driver's increase in altitude is approximately 260 feet.
Suppose 0 is an angle in the standard position whose terminal side is in
Quadrant IV and cos=12/37Find the exact values of the five remaining
37
trigonometric functions of 0
Answer:
Answers Below.
Step-by-step explanation:
Hello!
Let's first identifiy where the tereminals side actually is - Quadrant II. The original angle and the reference angle together form a straight line along the x-axis, so their sum is 180°. The second quadrant is in the upper left-hand corner of the plane. X has negative values in this quadrant and y has positive values. Quadrant III: The third quadrant is in the bottom left corner. Both x and y have negative values in this quadrant. The fourth quadrant (Q IV) is in the bottom right corner. X has positive values in this quadrant and y has negative values. Quadrant I of course has all positive values.
The five tig functions are:
Sine (sin)
Cosine (cos)
Tangent (tan)
Secant (sec)
Cosecant (csc)
Cotangent (cot)
The question asks for us to use the value of theta to find the rest of the trig values.
costheta=12/37 = 0.9999
Now, plug this number into the rest of them!
sin(0.9999)=0.01745
tan(0.9999)=0.01745
The last three are just reciporcals of the previous functions:
sec(x) = 1/ cosx = 1/cos(0.9999) = 1.0002
csc(x) = 1/ sinx = 1/sin(0.9999)= 57.304
cot(x) = 1/tanx = 1/tan(0.9999)= 57,296
The point of the unit circle is that it makes other parts of mathematics easier and neater. For instance, in the unit circle, for any angle θ, the trig values for sine and cosine are clearly nothing more than sin(θ) = y and cos(θ) = x.
Because the answers are in Quadrant IV, all the x values will be positive.
Hope this helps!
In 2006, the population of a country was 45.4 million people. From 2006 to 2050 the country's population is expected to decrease by 6.5% Find the expected population of the country in 2050 Round to the nearest tenth of a million.
plz help first right gets brainly
Answer:
D, see attachment
Step-by-step explanation:
An equation with a squared symbol (²) will never be linear. You can also graph these lines to be sure.
The attachment shows each of these graphed.
Red line- A
Orange line- B
Green line- C
Purple line- D
Line D is nonlinear, so the answer is D.
4. He drove at Puerto Princesa City to Taytay at an average speed of 40 kph
How far did he travel?
The journey lasted for 5 hours and 15 minutes.
Kart bought a new motorcycle.
Problem
Solution
Step-by-step explanation:
Distance = Speed x Time
Given Distance = 40km/h or kph
Time = 5 hours 15 minutes
=
[tex]5 \frac{15}{60} \\ = 5 \frac{1}{4} \\ = 5.25hours [/tex]
Distance Travelled = 40 kph x 5.25 hours
= 210km
If the farmer has 276 feet of fencing, what are the dimensions of the region which enclose the maximal area?
Answer:
41 ft wide and 61.5 ft long
Step-by-step explanation:
How many eggs does a rooster lay a day???
Answer:
a rooster can't lay eggs
Step-by-step explanation:
a rooster is a male-
Answer:
0, A rooster is a male, it does not lay eggs. Hens lay eggs
Step-by-step explanation:
4.
A machine makes a staple from 20mm of wire. How many
staples will it make from 50cm of wire?
Answer:
25
Step-by-step explanation:
(50 cm (centimeters))/(20 mm (millimeters))
Result:
25 m/m (meters per meter)
25
2500%
Unit conversions:
15.53 mi/km (miles per kilometer)
25 mi/mi (miles per mile)
25 squares
Interpretation:
length ratio
The sum of the interior angle measures of a convex polygon is 540° . How many sides does it have?
write the absolute value inequality in the form lx-bl c that has the solution set x<-5 or x<7
How to solve (x+7)(x-9)>0
Answer:
x < -7, x > 9.
Step-by-step explanation:
Solve for x.
x = -7, 9
From the values of x above, we have these 3 intervals to test.
[tex]x < - 7[/tex]
[tex] - 7 <x < 9[/tex]
[tex]x > 9[/tex]
Pick a test point for each interval.
For the interval x < −7:
Let's pick x=−8. Then, (-8 + 7) (-8 - 9) > 0.
After simplifying, we get 17>0, which is true
Keep this interval.
Let's pick x=0. Then, (0+7)(0-9) > 0.
After simplifying, we get −63 > 0, which is false.
Drop this interval.
For the interval x > 9:
Let's pick x=10. Then, (10+7)(10-9)>0.
After simplifying, we get 17 > 0, which is true
Keep this interval.
Therefor, the answer is x < -7, x > 9.
PLEASE HELP ASAP!!!!!!!!!!!!!
Answer:
3 + 8 times 3 +27 times 3 + 64 times 3+ 125 times 3 + 216 times 3+ 343 times 3
2352 cubic units^3
Step-by-step explanation:
A printer Prints 4 pages vper minute. How long would it take to print 204 pages
Answer:
divide 4 by 204 and that's your answer
whats the answer???? will mark brainlest
no files
Answer: 18 0/1
Step-by-step explanation:
Factor out the greatest common factor
Answer:
7x
Step-by-step explanation:
7x(5x-7)
brainliest pls!
Answer:
7x
Step-by-step explanation:
Find the perimeter and area of this composite figure
Answer:
34
Step-by-step explanation:
Hope helps :)
Answer:
Hi! Your answer is 34! :D
Step-by-step explanation:
The lovely human who answered above me is indeed correct.
I hope you have an amazing day! Please give brainliest!
prove that: tanA/2=(sinA/2+sinA)/1+cosA/2+cosA
please help
please
no links please
Answer:
proved
Step-by-step explanation:
hope this helps!!
(a) Describe the FOUR (4) methods of allocating joint costs to products. (12 marks)
(b) Weng Tai company simultaneously produces three products (X, Y and Z) from a single process. X and Y are processed further before they can be sold; Z is a by-product that is sold at split off point for RM2 per unit without incurring any further process costs. Joint costs are apportioned using the final sales value method. The sales prices of X and Y after further processing are RM40 per unit and RM35 per unit respectively. Data for April are as follows:
Joint production costs that produced 5,000 units of X, 5,500 units of Y and 3,500 units of Z 150,000
Further processing costs for 5,000 units of X 30,000
Further processing costs for 5,500 units of Y 40,000
Required:
Calculate the total costs and profit for the production of X and Y. (14 marks)
(c) Discuss THREE (3) arguments in support of variable costing and absorption costing. (12 marks)
(d) Zency Sdn Bhd produces pens. Data concerning the company’s operations last year appear as follows:
Units in beginning inventory 5,000
Units produced 50,000
Units sold 46,000
Selling price per unit RM2.50
Variable costs per unit:
Direct materials RM0.80
Direct labor RM0.50
Variable manufacturing overhead RM0.10
Variable selling and administrative overhead RM0.05
Fixed costs in total:
Fixed manufacturing overhead RM20,000
Fixed selling and administrative overhead RM10,000
Required:
Prepare an income statement for the year using absorption costing. (12 marks)
Answer:
Step-by-step explanation:
C
independent compound event definition
Answer:
Independent events occur when the outcome of one event does not affect the outcome of the second event. Rolling a four has no effect on tossing a head. To find the probability of two independent events, multiply the probability of the first event by the probability of the second event.
Other answer:
A compound event is the combination of two or more simple events (with two or more outcomes). Compound Probabilities (with more than one outcome (desired result) within a trial ): • The probability of rolling an even number less than 5 on a die. (
-6+7x=29 solve for x
Answer:
x=5
Step-by-step explanation:
add 6 to both sides
7x=35
divide by 7
x=5
Answer:
X=5
Step-by-step explanation:
-6+7= 1
7x5=35
-6+ 7(5)=29
if we use the quadratic expression below to complete a diamond, what value will go at every bottom of the diamond
a. -4
b. 4
c. 1
d. 5
Answer:
if we use the quadratic expression below to complete a diamond, what value will go at every bottom of the diamond
is -4
Answer:
if we use the quadratic expression below to complete a diamond, what value will go at every bottom of the diamond
its 1 because