Use pythagoras theorem
d = √((x₁ - x₂)² + (y₁ - y₂)²)
d = √((-5 - 7)² + (3 - 3)²)
d = √((-12)² + 0)
d = √144
d = 12
Answer:
Step-by-step explanation:
distance is √((x2-x1)^2+(y2-y1)^2)
so it will be √((12)^2+(0)^2)
or simply 12. since we are calculating distance, it is always going to be positive so technecally the formula is |√((x2-x1)^2+(y2-y1)^2)|
(3×sqrt(3)-2×sqrt(2))÷(sqrt(3)-sqrt(2))
Answer:
5+√6
Step-by-step explanation:
(3√3 -2√2) ÷ (√3-√2 )
= (3√3 -2√2) (√3+√2) ÷ (√3 -2√2) (√3+√2)
= (9+3√3√2-2√2√3-4) ÷ ((√3)^2 -(√2)^2)
=(9+3√6-2√6-4) ÷ (3-2)
= (5+√6)
find the measure of one exterior angle for the following regular polygon
Answer:
36 degrees
Step-by-step explanation:
10 corners/sides.
the sum of all exterior angles in a polygon is always 360 degrees.
so, one exterior angle here is 360/10 = 36 degrees
Surveys were sent to a random sample of owners of all-wheel-drive (AWD) vehicles and to a random sample of owners of front-wheel-drive (FWD) vehicles. The proportion of owners who were satisfied with their vehicles was recorded for each sample. The sample proportions were used to construct the 95 percent confidence interval for a difference in population proportions (FWD minus AWD) for satisfied owners. The interval is given as (−0.01,0.12). A car company believes that the proportion of satisfied owners of AWD vehicles differs from the proportion of satisfied owners of FWD vehicles. Does the confidence interval provide evidence that this belief is plausible?
Answer:
No, the confidence interval does not provide evidence that this belief is plausible as the confidence interval range contains the null value (0)
Step-by-step explanation:
Given that the confidence interval for the mean difference of AWD and FWD vehicles is :
(−0.01,0.12)
When defining the hypothesis for mean difference :
H0 : μ1 - μ2 = 0
H1 : μ1 - μ2 ≠ 0
Using the confidence interval result, reject the Null if the confidence interval value at the given α - level does not contain 0 ; otherwise fail to reject the Null ;
Since the (−0.01,0.12) contains 0 ; then we fail to reject the Null and conclude that there is no statistically significant difference between the two groups
I AM GIVING BRAINLISEST AND 20 POINTS! Write the equation of the circle in standard form.
Answer:
[tex](x-4)^2+(y)^2=9[/tex]
Step-by-step explanation:
The general format for the equation of a circle is the following:
[tex](x-n)^2+(y-m)^2=a[/tex]
This circle will have a radius of ([tex]\sqrt{a}[/tex]), moreover, this circle will have its center at point [tex](n,m)[/tex]. Please note that its center is shifted (n) units to the right of the origin, and (m) units up. Apply this knowledge to the given problem.
The circle in the given problem has its center at (4, 0). Therefore the following can be stated,
[tex]n=4\\\\m =0[/tex]
Since one knows the center of the circle is at (4, 0), and (the circle has (4, 3) on its circumference, the distance between the coordinates will produce the radius of the circle. The following formula can be used to find the distance between two points on a number line,
[tex]D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]
Where ([tex](x_1,y_1)[/tex]) and ([tex](x_2,y_2)[/tex]) are the points one is trying to find the distance between. Substitute the given points into the formula and solve for the distance between them.
[tex]D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]
[tex]D=\sqrt{(4-4)^2+(3-0)^2}[/tex]
Simplify,
[tex]D=\sqrt{(4-4)^2+(3-0)^2}[/tex]
[tex]D=\sqrt{(0)^2+(3)^2}[/tex]
[tex]D=\sqrt{0+9}[/tex]
[tex]D=\sqrt{9}[/tex]
[tex]D=3[/tex]
The parameter (a) is equal to ([tex]D^2[/tex]) are per the format of the equation, thus one must do the following to find the value of (a):
[tex]a = D^2[/tex]
[tex]a=3^3[/tex]
[tex]a = 9[/tex]
Substitute all of the information into the general formula for the equation of a circle, then simplify,
[tex](x-n)^2+(y-m)^2=a[/tex]
[tex](x-4)^2+(y-0)^2=9[/tex]
[tex](x-4)^2+(y)^2=9[/tex]
You and six friends play on a basketball team. A sponsor paid $100 for the league fee, x dollars for each player’s T-shirt, and $68.25 for trophies. Write an expression for the total amount paid by the sponsor
Answer:
Total amount paid by the sponsor = 175 + 6d
Step-by-step explanation:
You and 5 friends = 6 people
Cost of renting a bus = $75
Team entry fee = $100
Cost of each student t shirts = $d
Cost of 6 student t shirts = $d × 6= $6d
Write an expression for the total amount the sponsor paid.
Total amount paid by the sponsor = Cost of renting a bus + Team entry fee + Cost of 6 student t shirts
= $75 + $100 + $6d
= $175 + $6d
Total amount paid by the sponsor = 175 + 6d
Where,
d = cost of each student t shirts
CKPenny is selling 50 coats. Each coat with a hood have 5 buttons and each coat without a hood have 10 buttons. If there are 400 buttons among all the coats, how many coats don't have hoods?
Answer:
40 coats don't have hoods
tìm tất cả giá trị thực của tham số m để đồ thị hàm số y=x³-mx²+4 cắt trục hoành tại ba điểm phân biệt
Answer:
실례합니다?
Step-by-step explanation:
질문이 뭔가요??? 이해가 안가요? 어느 언어?
find the area of a triangle with a base of 12 ft and a height of 2ft
Answer:
1/2×2×12=12 feet
Step-by-step explanation:
1/2× base area × height
MUST SHOW WORK.
please do this ASAP!
This is about numerical expressions!
[tex]{\huge\fcolorbox{blue}{black}{\pink{\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: Solution\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:}}}[/tex]
[tex]2(4 - 1) {}^{2} - 3 + 2(5) \\ \\ = 2(3) {}^{2} - 3 + 2(5) \\ \\ = 2 \times 9 - 3 + 2(5) \\ \\ = 18 - 3 +2(5)\\ \\ =>15-10 = 25[/tex]
Hope This Helps You[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{2(4 - 1)^2 - 3 + 2(5)}[/tex]
[tex]\mathsf{4 - 1 = \bf 3}[/tex]
[tex]\mathsf{= 2(3^2) - 3 + 2(5)}[/tex]
[tex]\mathsf{3^2}\\\mathsf{= 3\times3}\\\mathsf{= \bf 9}[/tex]
[tex]\mathsf{= 2(9) - 3 + 2(5)}[/tex]
[tex]\mathsf{2(9)}\\\mathsf{= \bf 18}[/tex]
[tex]\mathsf{= 18 - 3 + 2(5)}[/tex]
[tex]\mathsf{18 - 3}\\\mathsf{= \bf 15}[/tex]
[tex]\mathsf{= 15 + 2(5)}[/tex]
[tex]\mathsf{2(5)}\\\mathsf{= \bf 10}[/tex]
[tex]\mathsf{= 15 + 10}\\\mathsf{= \bf 25}[/tex]
[tex]\boxed{\boxed{\huge\text{Therefore, your ANSWER is: \textsf{25}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day! }[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Which of the following best describe(s) the slope of a linear function?
Select all that apply.
rise over run
run over rise
average rate of change
intersection with the y-axis
Margaret bought a video game, her father gave her 0.2 of the money, her aunt gave 0.5 of the money and she saved the rest. She saved $168 so what amt of money did her father give
Answer:
if Im correct it should be $8.40
Step-by-step explanation:
why well if you think of breaking down by say 1/4 of 168 all you do is divide 4 which is the whole amount by 0.2 which is the amount the father gave her so 4/0.2= 20 the you take your whole 168 and divide by 20 which the whole number for 0.2 the your answer should be this 168/20= 8.4 which then i assumed it was $8.40 hopefully that is correct hehe
5/√2+9/√8-2√50+√32 rationalise the denominator and simplify
The simplification of the expression is [tex]\frac{15\sqrt{2} }{4}[/tex]
How to rationalize the denominatorFirst, find the factors of the number that ahs square root
Given,
= [tex]\frac{5}{\sqrt{2} } + \frac{9}{\sqrt{6} } - \frac{2}{\sqrt{50} } + \sqrt{32}[/tex]
Multiply the numerators by the surd of the denominators
= [tex]\frac{5 *\sqrt{2} }{\sqrt{2}*\sqrt{2 } } + \frac{9 *\sqrt{8} }{\sqrt{8}* \sqrt{8} } - \frac{2 *\sqrt{50} }{\sqrt{50 * \sqrt{50} } } + \sqrt{32}[/tex]
Multiply through and find their square root
= [tex]\frac{5\sqrt{2} }{2} + \frac{18\sqrt{2} }{8 } - \frac{10\sqrt{2} }{50} + 16\sqrt{2}[/tex]
To simply, we have
= [tex]\frac{5\sqrt{2} }{2}+ \frac{9\sqrt{2} }{4} + \frac{1\sqrt{2} }{5} + 16\sqrt{2}[/tex]
Find the LCM
= [tex]\frac{10\sqrt{2} + 45\sqrt{2}+ 4\sqrt{2} + 16\sqrt{2} }{20}[/tex]
Add through
= [tex]\frac{75\sqrt{2} }{20}[/tex]
= [tex]\frac{15\sqrt{2} }{4}[/tex]
Thus, the simplification of the expression is [tex]\frac{15\sqrt{2} }{4}[/tex]
Learn more about surds here:
https://brainly.in/question/4594146
#SPJ1
PLEASE HELP I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
correct option is A
Step-by-step explanation:
mark me
Nishi invests £3500 at 4% interest per year. Work out how much she will have altogether after: 2 years
Answer:
£3780
Step-by-step explanation:
P= £3500, R=4%, t=2years
I = PRT/100
I= (3500×4×2)/100 =£280
Amount in 2years = P+I = £3500+ £280= £3780
What is the surface area of the sphere below?
A. 324pi units^2
B. 324pi^3 units^2
C. 36pi units^2
D. Cannot be determined
Answer:
C. 36π units²
Step-by-step explanation:
Surface area of a sphere: 4πr²
[tex]4\pi r^2\\4\pi (3)^2\\4\pi (9)\\36\pi[/tex]
in a diagram 0 is the centre of the circle and ABC=240
Question incomplete please add the diagram
What is the scale factor of this dilation?
A 2/3
B 1 1/2
C 3
D 5
Answer:
B. 1 1/2
Step-by-step explanation:
The post-image is clearly larger than the pre-image. The ratio of the post to the pre is 9 : 6 and 10 : 15, which are equal to 3 : 2, and equal to 1 1/2.
Find the slope of the line passing through (6.-1) and (7,3). Let (x1, y1) = (6.-1) and (x2.72) =
(7,3). List the coordinates, fill in the slope formula, and then simplify.
1 =
X2=
J1 =
12=
slope =
Answer:
X1=6
X2=7
y1= -1
y2= 3
now,
slope = y2-y1/x2-x1
= 3+1/7-6
=4/1
=1
hence slope= 1
What is the answer to the question 3x+5x
Answer:
8x
Step-by-step explanation:
=3x+5x
=8x
(-1,6),(3,-4) find the slope and y intercept.
Answer:
Y =-2.5X +3.5
Step-by-step explanation:
x1 y1 x2 y2
-1 6 3 -4
(Y2-Y1) (-4)-(6)= -10 ΔY -10
(X2-X1) (3)-(-1)= 4 ΔX 4
slope= -2 1/2
B= 3 1/2
Y =-2.5X +3.5
Identify the vertex of this absolute value function: f(x) = -2|x + 1| + 2. Type the correct answer in each box. Use numerals instead of words.
Answer:
Step-by-step explanation:
x+1=0
then f(x)=2
x=-1
vertex is (-1,2)
Answer:
-1,2
Step-by-step explanation:
Plato
3
Select the correct answer.
Which statement best describes the solution to this system of equations?
3x + y= 17
x+2y= 49
OA.
It has no solution.
B.
It has infinite solutions.
O c.
It has a single solution: x = 15, y= 17.
OD
It has a single solution: x= -3, y = 26.
Answer:
X= –3, y=26
Step-by-step explanation:
3X+Y=17====> –2(3X+Y)=–34===> –6X–2Y=–34
X+2Y=49
Aight so let's head to the sum
–5X=15===> X=–3
–3+2Y=49===> 2Y=52===> Y=26
The square of y varies directly as the cube of x.When x=4 y=2.Which equation can be used to find other combinations of x and y
Answer:
y² = (1/16)x³
Step-by-step explanation:
Given that :
y² varies directly as the cube of x
y² α x³
y² = kx³ - - - (1)
Where, k = constant of f proportionality
We can obtain the value of k ; when x= 4 and y = 2
2² = k4³
4 = 64k
k = 4/64
k = 1/16
Putting k = 1/16 in (1)
y² = (1/16)x³
Please help me with this problem.
Answer:
Step-by-step explanation:
Remark
The cos(60) = 1/2
The radii marked 6 is the adjacent side. You have to solve for the hypotenuse.
Why?
Because the hypotenuse is the distance from the center of the circle to the point of intersection of the angle. Once you have the hypotenuse, you can find the length of the tangent, which will lead to the area of the kite. Then take away 1/3 the area of the circle.
Hypotenuse
Cos(60) = 1/2
cos(60) = adjacent / hypotenuse Multiply both sides by the hypotenuse
hypotenuse * cos(60) = adjacent Divide by Cos(60)
hypotenuse = adjacent / cos(60)
adjacent = 6
hypotenuse = 6/0.5
hypotenuse = 12
Tangent
tangent^2 = 12^2 - 6^2
tangent^2 = 144 - 36
tangent^2 = 108
tangent = sqrt(108)
tangent = 6sqrt(3)
Triangles
The area of the triangle = 1/2 6sqrt(3) * 6
The area of the triangle = 18 sqrt(3)
There are two triangles so the area = 36 sqrt(3) That's the area of the kite.
Circle sector.
Area of the circle sector = 1/3 * pi * r^2
r = 6
Leave pi as it is.
Area of the circle sector = 1/3 * pi * 6^2
area of the circle sector = 12 pi
Answer
Area of the red part = area of the triangles - the area of circle sector
Area of the red part = 36*sqrt(3) - 12* pi
please help me
solve (x+3) (x+7)
Step-by-step explanation:
Here, we'll need to multiply these two values together. I'll use the expansion formula, which goes as follows:
[tex](a+b)(c+d)[/tex]
Expand[tex]ac + ad + bc + bd[/tex]
Lets apply this to the following equation:
[tex](x+3) (x+7)[/tex]
Expand.[tex](x*x) + (x * 7) + (3 * x) + (3 * 7)[/tex]
Simplify.[tex](x^2) + (7x) + (3x) + (21)[/tex]
Remove parenthesis and add.[tex]x^2+10x+21[/tex]
Answer:
x^2+10x+21
The student council needs to make a banner for the seventh-grade dance. The dance committee decides that the length of the banner will be 16 feet. What are the possible widths of the banner if the students can use no more than 40 square feet of material? Find the solution set of the inequality 16w ≤ 40 to solve the problem.
A rectangle with a length of 16 feet and width of w.
What are the possible widths of the banner if the students can use no more than 40 square feet of material?
at most 2.5 ft wide
less than 2.5 ft wide
at least 0.4 ft wide
no more than 0.4 ft wide
Answer: Choice A) at most 2.5 ft wide
Work Shown:
16w ≤ 40
w ≤ 40/16
w ≤ 2.5
This says that the banner must be at most 2.5 ft wide (choice A)
In other words, the largest the width can get is w = 2.5; we can think of this as the ceiling value.
Answer: its a
Step-by-step explanation:
brainly stop taking my answer down pls
8
20
х
18
Solve for x.
O A) 40
B) 38
C) 45
D) 46
Answer:
its A
Step-by-step explanation:
translation geometry please help!! Acellus
Answer:
A' (-6,3)
B' (-3,0)
C' (-7,1)
Answered by GAUTHMATH
Answer:
A -6, 3
C -7 1
B -3,0
Step-by-step explanation:
Find the square roots of these numbers by division method.
a-6090
Fifteen years from now, Atli’s age will be 4 times his current age. What is his current age?
Answer:
he is three i think
Step-by-step explanation:
