Answers
A = x, B = x + 2, C = x + 3
(a). x^2 + (x+2)^2 = (x+3)^2
(b). Expand
X^2 + (x+2)(x+2) = (x+3)(x+3)
x^2 + x^2 + 4x + 4 = x^2 + 6x + 9
x^2 = 2x + 5
x^2 - 2x - 5 = 0
Related Questions
Find the distance between the two points in simplest radical form.
(8, -3) (6, -8)
Answers
Answer:
[tex]d = \sqrt{29}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra II
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (8, -3)
Point (6, -8)
Step 2: Find distance d
Substitute: [tex]d = \sqrt{(6-8)^2+(-8+3)^2}[/tex]Subtract/Add: [tex]d = \sqrt{(-2)^2+(-5)^2}[/tex]Exponents: [tex]d = \sqrt{4+25}[/tex]Add: [tex]d = \sqrt{29}[/tex]I’ll give the Brainliest to who answers this question with a reasonable explanation.
If Jan can buy 12 copies of a certain book for $40, what is the unit rate for cost per copy? How much would it cost her to buy 18 copies at the same rate?
Thank you!
Answers
$10/3 per book
18 * 10/3 = $60 for 18 copies
Elliot borrows $900 to buy an appliance at a yearly simple interest rate. He takes 3 years to pay off the loan and interest. He pays $135 in interest. What is the interest rate?
Answers
1)
You can see that 900 = 9x100.
So you can divide 900 by 9 to get 100.
That means you can also divide 45 by 9 (it’s proportional)
You have 45 for 900, you divide by 9 so you get 5 for 100 -> 5%
Or 2)
(Photo)
It’s a cross-multiplication :
(45 x 100)/900 = 5%
So the interest rate is 5%.
(Sorry if it’s confusing, English isn’t my first language..)
Prove that DE is parallel to BC.
Please help, will award brainliest.
Answers
Answer:
see explanation
Step-by-step explanation:
Parallel lines have equal slopes.
To find D and E use the midpoint formula
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
Here (x₁, y₁ ) = A(4, 6) and (x₂, y₂ ) = B(2, - 2) , then
D = ([tex]\frac{4+2}{2}[/tex], [tex]\frac{6-2}{2}[/tex] ) = (3, 2 ) and
let (x₁, y₁ ) = B(2, - 2[tex]\frac{-4+2}{-2-2}[/tex] ) and (x₂, y₂ ) = C(- 2, - 4 ), then
E = ( [tex]\frac{4-2}{2}[/tex], [tex]\frac{6-4}{2}[/tex] ) = (1, 1 )
Use the slope formula to find slopes of DE and BC
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = D(3, 2) and (x₂, y₂ ) = E(1, 1), then
[tex]m_{DE}[/tex] = [tex]\frac{1-2}{1-3}[/tex] = [tex]\frac{-1}{-2}[/tex] = [tex]\frac{1}{2}[/tex]
Repeat with (x₁, y₁ ) = B(2, - 2) and (x₂, y₂ ) = C(- 2, - 4), then
[tex]m_{BC}[/tex] = [tex]\frac{-4+2}{-2-2}[/tex] = [tex]\frac{-2}{-4}[/tex] = [tex]\frac{1}{2}[/tex]
Since the slopes are equal then DE and BC are parallel lines
I know he anwsered it but I really want to level up so can you please give me Brainliest
Kiera is contacting the poll workers from the last election to see whether they are willing to work in the next election. During the last election, 42\%42%42, percent of the poll workers were under 606060 years old. Let WWW be the number of poll workers Kiera contacts before reaching one that is 606060 years old or older. Assume that each poll worker's age is independent. Find the mean and standard deviation of WWW. Round your answers to one decimal place.
Answers
Answer:
Mean: 1.7 and standard deviation 1.1.
Step-by-step explanation:
42% Of the poll workers are less than 60 years old. In other words, 58% of the poll workers are 60 years old: 1-0.42 = 0.58. So W is a geometric variable where the first "success" is poll worker who is at least 60years old.
Mean: 1/0.58 = 1.7241 poll workers, about 1.7 poll workers.
Standard deviation: sqr(1-p)/p = sqr(1-0.58)/0.58 = 1.1174 poll workers, about 1.1 poll workers.
The required Mean and the standard deviation are given as 1.7 and 1.1 respectively.
Given that,
During the last election, 42%, percent of the poll workers were under 60 years old. Let W be the number of poll workers Kiera contacts before reaching one that is 606060 years old or older.
The mean of the values is the ratio of the total sum of values to the number of values.
here,
42% of poll workers are under the age of 60. Also, 58% of poll workers are above the age of 60.
= 1 - 0.42 = 0.58.
So "W" is a geometric variable with the first success being a poll worker beyond the age of 60.
Mean = 1/0.58
= 1.7 poll workers.
Standard deviation = √[(1-0.58)/0.58]
= 1.1 poll workers.
Thus, the required Mean and the standard deviation are given as 1.7 and 1.1 respectively.
Learn more about mean here:
https://brainly.com/question/15397049
#SPJ2
Tom rolls a fair dice and flips a fair coin.
What is the probability of obtaining a number bigger than 2 and a head?
Answers
Answer:
1/3 or 33.33333333%
Step-by-step explanation:
The chance of getting a head in the coin flip is 1/2 or 50%.
The chance of getting a number bigger than 2 (3,4,5,6) is 4/6 or 2/3 or 66.6666666666%. (There are a total of four possibilites in six.)
Hence, 50% * 2/3 = 33.333333333333%.
Hope this helped!
What is the missing angle? *
PLS I NEED HELP DUE IN 10 MINS
Answers
Answer:
80
Step-by-step explanation:
a triangle is 180 degrees in all 60+40 is 100 so by that you can tell its 80
Divide 389ten by 44 ten
Answers
Solve for x -1/2x < -12
Answers
Answer:
x < 24
Step-by-step explanation:
-1/2x < -12
1) Isolate x!
-1/2x < -12
×-2 ×-2
x < 24
Write the ratio as a fraction in simplest form 4 to 56
Answers
Answer:
1 / 14
Step-by-step explanation:
4 / 56 = 1 / 14
4 / 4 = 1
56 / 4 = 14
Find the slope of the line that goes through the points (5,11) and (13,9).
Answers
Answer:
-1/4
Step-by-step explanation:
using y2-y1/x2-x1, you can get 9-11/13-5, -2/8, which gives you a slope of m=-1/4
Can someone please tell me if the following relations are functions please?
Answers
b) The circumference of a circular field is 220 m.
(i) Find its diameter and radius.
(ii) Find the cost of paving stones all over it at Rs 25 per sq. m.
Answers
Answer:
sorry I don't know 2...
But first I can tell....
Step-by-step explanation:
circumference = 220m
To Find :- It's diameter and it's radius...
Solution:-
circumference of circle = 2*pi*r
pi=22/7
220 = 2*22/7*r
220 = 44r/7
220*7 = 44r
1540 = 44r
r = 1540/44
r = 35m....
d = 35*2
d = 70m...
Hence, Diameter of circular field is 70m and radius is 35m
State the slope and y-intercept of the graph of y + 2x = 3.
Answers
Answer:
y-intercept=(0, 3) slope=-2
hope this help
Step-by-step explanation:
Answer: y intercept= 3 slope is -2
Step-by-step explanation: you subtract 2x from the left and right side and end up with y= -2x+3 if you substitute x for 0 then you get 3 for the y intercept.
Ryan and Sarah collect baseball cards. Ryan has 150 baseball cards and collects 10 cards per week. Sarah has 200 baseball cards and collects 5 cards per week. After how many weeks will Ryan and Sarah have the same number of cards?
Answers
Answer:
i need help on this question too
Step-by-step explanation:
Answer:
I think X=10 but im not for sure.
Step-by-step explanation:
150 (X+10) = 200 (X+5)
150x+1500 200X+1000
-150X -150X
1500 50X+1000
-1000 -1000
500 50X
50 50
10=X
The equation y-2/3=(x-1/4) is written in point-slope from what equation in slope-intercept from
Answers
Answer:
y=x+5/12
good luck...
A company that makes hair-care products had 9,000 people try the new shampoo. Of the 9,000 people, 36 had a mild allergic reaction. Wht percent of the people had a mild mild allergic reaction?
Answers
Answer:
0.4% of the people had a mild allergic reaction.
Step-by-step explanation:
You can find the percent of the people that had a mild allergic reaction using a rule of three as you know that 9,000 people tried the new shampoo which would be the 100% and you can find the percent that represents 36 people:
9,000 → 100%
36 → x
x=(36*100)/9,000
x=0.4%
According to this, the answer is that 0.4% of the people had a mild allergic reaction.
The lengths of a particular animal's pregnancies are approximately normally distributed, with mean, μ = 272 days and standard deviation, σ = 16 days. (a) What proportion of pregnancies lasts more than 300 days? (b) What proportion of pregnancies lasts between 260 and 284 days? (c) What is the probability that a randomly selected pregnancy lasts no more than 252 days? (d) A "very preterm" baby is one whose gestation period is less than 236 days. Are very preterm babies unusual?
Answers
Answer:
a) 0.04
b) 0.54674
c) 0.10565
d) It is not unusual to have preterm babies
Step-by-step explanation:
The lengths of a particular animal's pregnancies are approximately normally distributed, with mean, μ = 272 days and standard deviation, σ = 16 days.
We solve the above question using z score formula
z = (x-μ)/σ, where
x is the raw score
μ is the population mean
σ is the population standard deviation.
(a) What proportion of pregnancies lasts more than 300 days?
z = 300 - 272/16
= 1.75
Probability/proportion value from Z-Table:
P(x<300) = 0.95994
P(x>300) = 1 - P(x<300) = 0.040059
Approximately = 0.04
(b) What proportion of pregnancies lasts between 260 and 284 days?
For x = 260 days
z = 260 - 272/16
= -0.75
Probability value from Z-Table:
P(x = 260) = 0.22663
For x = 284
z= 284 - 272/16
= 0.75
Probability value from Z-Table:
P(x = 284) = 0.77337
The proportion of pregnancies lasts between 260 and 284 days is
P(x= 284) - P(x = 260)
0.77337 - 0.22663
= 0.54674
(c) What is the probability that a randomly selected pregnancy lasts no more than 252 days?
No more than means less than or equal to, hence, we are to find
P ≤ 252 days
Hence,
z = 252 - 272/16
= -1.25
Probability value from Z-Table:
P(x ≤ 252) = 0.10565
(d) A "very preterm" baby is one whose gestation period is less than 236 days. Are very preterm babies unusual?
We find the probability of 236 days
For x = 236
z = 236 - 272/16
z = -2.25
Probability value from Z-Table:
P(x<236) = 0.012224
Converting to percentage = 1.2224%
Hence, it is not unusual to have preterm babies
3x - 5y - z + 13
pls show your work
Answers
3x-5y-z+13.
it is simplified all the way there is nothing to add
pls help Solve for m. -7+4m+10=15-2m
Answers
Answer:
m=2
Step-by-step explanation:
Answer:
[tex]m=2[/tex]
Step-by-step explanation:
[tex]-7+4m+10=15-2m[/tex]
Isolate the variable m. Combine like terms (-7+10):
[tex]3+4m=15-2m[/tex]
Subtract 3 from both sides (inverse operations):
[tex]3-3+4m=15-3-2m\\\\4m=12-2m[/tex]
Add 2m to both sides (inverse operations):
[tex]4m+2m=12-2m+2m\\\\6m=12[/tex]
Divide both sides by 6 to isolate m (inverse operations):
[tex]\frac{6m}{6} =\frac{12}{6} \\\\m=2[/tex]
Since this cannot be further simplified, m is equal to 2.
:Done
which measurement is a reasonable height for a child? Explain your choice
A.
[tex]1.39 \times {10}^{2} cm[/tex]
B.
[tex]8.3 \times {10}^{5} cm[/tex]
C.
[tex]1.48 \times {10}^{1} m[/tex]
Answers
Answer:
A
Step-by-step explanation:
because a is 139cm and child is 139 cm not 830000 or not 1.48
If you multiple 1.39 times 10 squared you get 139cm which is about 54in.
Type the correct answer in the box. Round your answer to the nearest hundredth.
A class consists of 55% boys and 45% girls. It is observed that 25% of the class are boys and scored an A on the test, and 35% of the class are girls and scored an A on the test. If a student is chosen at random and is found to be a girl, the probability that the student scored an A is
Answers
if you add 55% and 45% the total is 100% so 45/100 are girls. 35% of the girls scored and A so 35/45 is the probability that it is a girl chosen or 7/9. the probability is 7 out of 9.
I know how to multiply 1-12.
Answers
Answer:
Good
Step-by-step explanation:
What is your question?
Just type it in the comments
If IN=2x+10 and AT=26, find x.
A.) 12
B.) 10
C.) 6
D.) 8
Answers
2(8)+10
16+10=26
Hope this helps!! :)
Write the equation of each line in slope-intercept form.
Answers
Answer:
-4/2x+3 or if you simplyfy it will be -2x+3
Step-by-step explanation:
Answer:
[tex]y = -\frac{1}{2}x + 3[/tex]
find the length of the missing of the missing triangle. Round your answer to the nearest tenth. Show your work
Answers
Answer:
17.32 cm
6.21 cm
Step-by-step explanation:
a^2+b^2=c^2
a^2+22^2=28^2
a^2=300
6^2+4^2=c^2
c=6.21
Hopefully this helps!
Mary is buying hair clips online. The online store charges a fee for each hairclip and a shipping fee. On Monday, Mary placed an order for 8 hairclips, and her total came to $33.75. On Friday, she placed an order for 11 hair clips, and her order came to $44.25. Find the price of each hair clip and the price of shipping.
Answers
4x19(clips total)= 76
78-76=2
2/2=1
so $1 for shipping for each order and $4 a clip
[
1
Solve the equation.
y + 3 = y + 9
f
O y= 1
O y = 3
O y = 6
O y = 9
Answers
Can someone please help me with my homework !
Answers
Answer:
Nah ;)
Step-by-step explanation:
The number of students attending the seventh-grade class trip is 4 times the number of teachers attending.
What is the ratio of teachers to students attending the class trip?
Answers
Answer:
1:4
Step-by-step explanation:
1 would be the teachers
times 4 would be the students
Answer: 1:4 or 2:16
It can be either answer because the ratios are multiplied with that but it can be divided enough to be 1:4 so any answer would be right if you multiply the ratio by 4