Answer:
y+5 = 9/5(x+3)
y - 4 = 9/5(x-2)
Step-by-step explanation:
First find the slope
m = ( y2-y1)/(x2-x1)
= ( 4- -5)/(2 - -3)
= ( 4+5)/(2+3)
= 9/5
Then using the point slope form
y -y1 = m(x-x1) where x1 and y1 are a point on the line
y - -5 = 9/5(x- -3)
y+5 = 9/5(x+3)
or using the other point
y - 4 = 9/5(x-2)
pls answer this about mathh
Note :: no links no explain no
Step-by-step explanation:
B.
AC =BC
2x-6=x+8
2x-x=8+6
x=14
5) AC = 2x-6=2(14)-6=28-6= 22
6) BC = x+8= 14+8= 22
7) AB = AC+BC = 22+22= 44
C.
AC =BC
4x+10=7x-5
4x-7x= -5-10
-3x= -15
x= -15/-3 = 5
8) AC = 4x+10=4(5) +10=20+10= 30
9) BC = 7x-5= 7(5) -5=35-5= 30
10) AB = AC+BC = 30+30= 60
B) Solution
AC = BC
→ 2x-6 = x+8
→ 2x-x = 8+6
→ x = 14
5:- AC = 2x-6 = 2(14)-6 = 28-6 = 22
6:- BC = x+8 = 14+8 = 22
7:- AB = AC+BC = 22+22 = 44
C) Solution
AC = BC
→ 4x+10 = 7x-5
→ 4x-7x = -5-10
→ -3x = -15
→ x = -15/-3
→ x = 5
8:- AC = 4x+10 = 4(5) +10 = 20+10 = 30
9:- BC = 7x-5 = 7(5)-5 = 35-5 = 30
10:- AB = AC+BC = 30+30 = 60
An extensive study of the cost of health care in the U.S. showed that the mean annual spending per Medicare enrollee was $6,883. To investigate the differences across the country, a researcher took a sample of 40 Medicare enrollees in Indianapolis. For the Indianapolis sample, the mean annual Medicare spending was $5,980 and the standard deviation was $2,518. Using a level of significance of 3%, test to see if the mean annual Medicare spending in Indianapolis is lower than the national mean. Interpret your result.
Solution :
Given :
[tex]$\mu = 6883$[/tex]
[tex]$s=2518$[/tex]
n = 40
[tex]$\overline x = 5980$[/tex]
Therefore, determining the null hypothesis and alternate hypothesis is :
[tex]$H_0: \mu = 6883$[/tex]
[tex]$H_a: \mu < 6883$[/tex]
The value of the test statistics is :
[tex]$t=\frac{\overline x - \mu}{s/\sqrt n}$[/tex]
[tex]$t=\frac{5980 - 6883}{2518/\sqrt 40}$[/tex]
[tex]$t \approx -2.27$[/tex]
So, df = n - 1
= 40 - 1
= 39
∴ 0.01 < P < 0.025
If the P value is less than α = 0.03, we reject the null hypothesis. Therefore, we conclude that mean annual Medicare spending in Indianapolis is lower than the national mean.
Using the value of [tex]$\alpha = 0.03$[/tex], the critical value of for the test statistics is 2.17
There we reject the null hypothesis. And thus we conclude that the mean annual Medicare spending in Indianapolis is lower than the national mean.
Find the area between the curve of y = 3x^6 and the x-axis interval from x = -1 to x = 1.
a. 6/7 units^2
b. 7/6 units^2
c. 9/7 units^2
d. 7/9 units^2
The area between the curve and x-axis is 6/7 units²
How can one find out the area between a curve and x-axis using integrals?
By performing a definite integral between the two locations, one can determine the area under a curve between two points. Integrate y = f(x) between the limits of a and b to determine the area under the curve y = f(x) between x = a and x = b. Areas below the x-axis will have a negative result, while those above the x-axis will have a positive result.
Solution:
Given,
curve y= 3x⁶
x-axis interval = ₋1 to 1
area between the curve and the x-axis is limits(-1 to 1) ∫3x⁶
limits(-1 to 1) 3∫x⁶
limits(-1 to 1) 3∫x⁷/7
3[2/7]
6/7 units²
Hence we get the answer as 6/7 units².
Learn more about "Definite Integrals" here-
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Rene is in the band. As a part of a fund raiser, she is selling tickets to a spaghetti dinner. The tickets cost $8 for adults and $5 for children. If Rene sold 100 total tickets for a total of $611, how many adult tickets did she sell?
Answer:
76 or 63
Step-by-step explanation:
Given: The tickets cost; Adults = $8, children = $5. Rene sold 100 total tickets for a total of $611
To find: How many adult tickets she sold
Solution: To find how many adult tickets Rene sold, divide the total amount of money made by selling the tickets by the cost for adult tickets
611 ÷ 8 = 76.4
In the closest tens place, Rene sold is 76 adult tickets or even 63
20. A biologist studied the populations of geckos and salamanders at Huntington Beach State Park over
a five year period. The biologist modeled the populations, in thousands, with the following polynomials
where x is time, in years.
Geckos: 9.7 x 2 - 0.8x + 2.3
Salamanders: -1.1 x2 + 7.7 x + 5.4
Which of the following polynomials models the total number of geckos and salamanders at Huntington Beach State Park?
Answer: b
Step-by-step explanation:
pls answer quick, I need an answer.
Steve bought a triangular mat to cover a corner of his room.
5 liters of water weighs 11 pounds. A bucket contains 143 pounds of water. How many liters of water are in the bucket
Answer:
65 liters
Step-by-step explanation:
11/5=2.2
143/2.2=65
ANSWER ASAP DONT SEND A FILE. IS THIS SHAPE A ROTATION, REFLECTION,TRANSLATION, DILATION OR NONE????ONLY ANSWER IF YOU ACTUALLY KNOW THE ANSWER
Answer:
its a reflection
Step-by-step explanation:
its a reflection across the y axis
Answer:
REFLECTION
Step-by-step explanation:
same shape, same size just flipped
1. Which expression represents the
factored form of x2 - 13x + 36?
A (x - 4)(x - 9)
B (x - 3)(x - 12)
C (x + 9)x - 4)
D (x + 12)(x - 3)
Answer: Hello, There! your Answer is Below
A (x - 4)(x - 9)
Step-by-step explanation:
Find p, and q, knowing sum = b = 13 and product c = 36. Compose factor pairs of 36-> (2, 18)(2, 12)(4, 9). this last sum is 9 = b. Then p = 4 and q = 9
Hope this Helps you!!
Have a great day!!
There are risks associated with drinking potable water.
Please select the best answer from the choices provided
Answer:
Where are the choices? There is no choices
(25points) Which of the following is the ratio of the area of the shaded region to the total area of the square
a)1/2
b)1/3
c)3/8
d)3/4
Answer:
C
Step-by-step explanation:
We want to find ratio of the area of the shaded region to the total area of the square.
First, we can find the total area of the square. Since QR = 7, each side of the square measures 7. Therefore, its area is:
[tex]A=(7)^2=49\text{ units}^2[/tex]
Instead of finding the shaded area, we can find the areas that are not shaded. Subtracting that into the total area will then give us the shaded area.
QRP is a triangle. Since PQRS is a square, QR = 7 = RS = SP = PQ.
So, the area of ΔQRP is:
[tex]\displaystyle A_{\Delta QRP}=\frac{1}{2}(7)(7)=24.5[/tex]
UTS is also a triangle. We are given that RU = US and PT = TS. So, Points U and T bisect RS and SP, respectively. Since RS = SP = 7, RU = US = PT = TS = 3.5. So, the area of ΔUTS is:
[tex]\displaystyle A_{\Delta UTS}=\frac{1}{2}(3.5)(3.5)=6.125[/tex]
Therefore, the total area of the white region is:
[tex]A_{\text{white}}=6.125+24.5=30.625[/tex]
Thus, the shaded region is:
[tex]A_{\text{shaded}}=49-30.625=18.375[/tex]
Then the ratio of the shaded region to the total area of the square will be:
[tex]\displaystyle R_{\text{shaded:total}}=\frac{18.375}{49}=\frac{3}{8}[/tex]
Our answer is C.
Lines a and bare perpendicular. If the slope of line a is - 2/3 is the slope of line b?
Answer:
B. 3/2
Step-by-step explanation:
The slopes of perpendicular lines are negative reciprocals
The negative reciprocals of -2/3
is 3/2
What is the equation for this word problem?:
Ravi needs to read 3 novels each month.
Let N be the number of novels Ravi reads in M months
Help!
Answer:
N = 3M
Step-by-step explanation:
Show all steps 2a=22
Answer:
Hello! answer: a = 11
Step-by-step explanation:
2 × 11 = 22 So therefore a = 11 HOPE THAT HELPS!
(Can Someone Help Answer This Problem) + No Links
Answer:
50 + 100n
Step-by-step explanation:
The cost is the cost of the visit plus the cost of the cavities
50 + 100n where n is the number of cavities
Answer:
P = 50 + 100*n
Step-by-step explanation:
1. The visit is $50
2. Additional cavity is $100
3. n cavities would cost 100*n
What is the hypotenuse of a triangle with legs that are both 4 inches?
Answer:
5.66
Step-by-step explanation:
I NEED HELP NOW PLEASE
Answer: B : Stretches vertically by factor 3
Step-by-step explanation: Can you mark this brainliest if this is right?
which one of the following piecwise graphs is not a function
Answer:
Perhaps this could be answered, if the graphs were included.
Step-by-step explanation:
Complete the statement.
63 mi
mi
h
sec
Please answer ASAP worth 25 points
Answer:
63miles/hour=63miles/[60×60]sec=
0.0175miles/sec
how to find the length of EF?
[tex]CD = \frac{HG + EF}{2} \Leftrightarrow EF = 2CD - HG[/tex]
[tex]2x - 2 = 2x - x + 3\\2x - 2x + x = 3 + 2\\x = 5[/tex]
[tex]EF = 2 * 5 - 2 = 10 - 2 = 8[/tex]
Answer: 8.
Answer:
EF=8
Step-by-step explanation:
HG=x-3
CD=x
EF=2x-2
Since HG is 3 less than CD, EF has to be 3 more than CD
x+3=2x-2
3+2=2x-x
5=x
x=5
HG=2
CD=5
EF=8
Find the greatest power of 3 that is divisible of 100!
Answer:
There is no greatest power of 3 that is divisible of 100.
Step-by-step explanation:
Since any number can always be divisible of 100, there would be no greatest power of 3 that is divisible of 100 since the powers can go on and on forever without stopping, and all powers of 3 is able to be divided by 100.
increase 53.20 by 7%
Answer:
56.924
Step-by-step explanation:
Step-by-step explanation:
Change the problem into something you recognize
7% = 7 x 10^-2 = 0.07
Multiply by this decimal
53.20 x 0.07 = a
Then add this to the original
53.20 + a
rolling an odd number on a six-sided die with its expected probability?
Answer:
The probability when rolling a regular six-sided dice that the score is an odd number is three-sixths or three out of six. Both three and six are divisible by three. Therefore, this fraction could be simplified to one-half. Three divided by three is equal to one.
The sum of the measures of the angles of a quadrilateral is 360°. Quadrilateral JKLM has one right angle. Use angle relationship and the measures given to find the measures of the angle K.
Answer:
Angle k is equal to 110°
Step-by-step explanation:
Because they are alternating angles
look at pic 10 pts will mark brainilest
C: ( 9 x 18) + (6 x 2)
D: (20 x 6) + (18 x 3)
E: (20 x 9) - (3 x 2)
[tex]3/11 divided by 44[/tex]
Answer:
3/484
Step-by-step explanation:
3/11 ÷ 44
~Turn whole number into a fraction and use copy dot flip
3/11 ÷ 44/1
3/11 * 1/44
3/484
Best of Luck!
The frame around a picture is worn and needs to be replaced. On the outsiders the rectangular frame measurements 5 inches by 7 inches. What is the outside perimeter of the frame?
17 inches
24 inches
35 inches
70 inches
plsss answer this
Answer:
24 inches
Step-by-step explanation:
we have 4 sides 2 of them are 5 and the other 2 are 7
7 + 7 = 14
and
5 + 5 = 10
Lastly,
10 + 14 = 24
The outside perimeter of the given its width and the length is 24 inches.
What is the perimeter?
A rectangle is a quadrilateral that has two diagonals of equal length that intersect each other. The perimeter of a rectangle is the distance round the rectangle.
Perimeter of a rectangle = 2 x (length + width)
2 x (5 + 7) = 24 inches
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i have 25 coins,x of them ard R5 coins and the rest are R2 coins.What is an expression in terms of x for number of R2 coins?
9514 1404 393
Answer:
25 - x
Step-by-step explanation:
Subtracting the number of R5 coins from the total number of coins will give the number of R2 coins:
25 - x . . . . . . number of R2 coins
Divide by using long division:
(8x ^2+ 4x – 3) = (2x - 3)
Answer: Hello Luv......
The chosen topic is not meant for use with this type of problem. Try the examples below.
45665
8723
209÷32
Step-by-step explanation:
Hope this helps.
Mark me brainest please.
Anna ♥
On a number line, 8.78 would be located . Check all that apply. A. between 8 and 9 B. to the right of 8.63 O C. between 7 and 8 D. to the left of 8.71
9514 1404 393
Answer:
A. between 8 and 9
B. right of 8.63
Step-by-step explanation:
See the attached. Numbers increase to the right, so 8.78 is right of both 8.63 and 8.71. The ones digit is 8, so 8.78 is between 8 and 9.