Answers
Answer:
Q1
[tex]by \ pythagoras \ theorem : \\(3x +1 )^2 = (3x - 1)^2 +x^2\\\\9x^2 + 6x +1 = 9x^2 + 1 -6x +x^2\\\\9x^2 + 6x +1 = 10x^2 + 1 -6x \\\\ 10x^2 + 1 -6x - 9x^2 -6x -1 = 0 \\\\x^2 -12x = 0\\x(x - 12) = 0\\x = 0, 12\\since \ length \ cannot \be \ 0, x = 12\\OJ = 3x + 1 = 3(12) +1 = 37[/tex]
Q2
[tex]by \ pythagoras \ thm, \\(7x -12) ^2 = (5x +10)^2 +(2x)^2\\\\49x^ 2 +144 - 168x = 25x^2 +100+ 100x +2x^2\\\\49x^ 2 +144 - 168x - 25x^2 -100- 100x -2x^2 = 0\\\\22x^2 -268x -44 = 0\\11x^2 - 134x - 22 = 0\\x=12.0154[/tex]
Related Questions
Rewrite exponential expressions
Answers
Answer:
A = 48
Step-by-step explanation:
In this equation, we can factor out the expression [tex](\frac{1}{7} )^x[/tex]. If we do so, the expression becomes:
[tex](\frac{1}{7})^x((\frac{1}{7})^{-2} - 1)[/tex]
We can simplify to get:
[tex](\frac{1}{7} )^x(49 - 1)[/tex]
and get:
[tex]48*(\frac{1}{7})^x[/tex]
Therefore, A = 48
How do you make an array of 5/6 x 3/4 ?
Answers
Round to the nearest whole dollar: $9.49
Answers
Answer: $9
Step-by-step explanation: Rounding $9.49 to the nearest dollar consider the tenths’ value of $9.49. Which is 4 and less than 5. Therefore, we have to round the amount down: the dollar ones place value of $9.49, $9, remains $9, and the decimal point and all digits (.49) are removed.
Find the value of x or y so that the line through the points has the given slope.
Answers
Answer:
x= -6
Step-by-step explanation:
(-1+5)/(x+3) = -4/3
4/(x+3)= -4/3
-4(x+3)= 3(4)
-4x-12= 12
-4x= 24
x= -6
What is the volume of the cube
Answers
Answer:
the answer should be V = a³=2³=8cm³
Answer:
8cm
Step-by-step explanation:
The volume of a cube is length x width x height. If it a equal cube, all sides should be the same. Meaning that 2 x 2 x 2, equaling 8 would be the answer.
HELP HELP HELP HELP
What is the equation of the trend line in the scatter plot ?
Answers
Answer:
increasing
Step-by-step explanation:
The radius of a semicircle is 4 millimeters. What is the semicircle's perimeter?
Answers
Answer:
20.57
Step-by-step explanation:
At a small savings and loan company, you have to deal with your customers being victims of identity theft. This happens unpredictably to one of your customers once every 9 weeks; and no incident seems to have any connection to any other incident. a) What is the probability that you will have to deal with no more than 4 incidents of identity theft in the next year (52 weeks)
Answers
Answer:
At a small savings and loan company, you have to deal with your customers being victims of identity theft. This happens unpredictably to one of your customers once every 9 weeks; and no incident seems to have any connection to any other incident.
Step-by-step explanation:
The probability that you will have to deal with no more than 4 incidents of identity theft in the next year is 30.08 %
What is a Binomial Distribution?
The binomial distribution is a type of probability distribution that predicts the likelihood of obtaining one of two outcomes given a set of inputs. It summarizes the number of tries where each trial has the equal chance of producing the same result.
The formula for Binomial Distribution is given by
P ( x ) = [ n! / ( n - x )! x! ] pˣqⁿ⁻ˣ
where
n = number of trials
x = number of successes
p = probability of getting a success in one trial
q = probability of getting a failure in one trial
q = 1 - p
Given data ,
Let the probability that you will have to deal with no more than 4 incidents be P ( x ≤ 4 )
Now , the success is one of your customers once every 9 weeks
So , p = 1/9
q = 1 - p = 8/9
x = 4
Number of trials n = 52 weeks
And , the probability that you will have to deal with no more than 4 incidents be P ( x ≤ 4 ) is
P ( x ≤ 4 ) = [ n! / ( n - x )! x! ] pˣqⁿ⁻ˣ
Substituting the values in the equation , we get
P ( x ≤ 4 ) = [ 52! / ( 48 )! 4! ] ( 1/9 )⁴( 8/9 )⁴⁸
On simplifying the equation , we get
P ( x ≤ 4 ) = 0.3008
P ( x ≤ 4 ) = 30.08 %
Therefore , the value of P ( x ≤ 4 ) is 30.08 %
Hence , the probability of no more than 4 incidents is 30.08 %
To learn more about binomial distribution click :
https://brainly.com/question/29350029
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Triangle has vertices A(-1, 3), B(-2, 1), and C(0, 4). If the triangle is reflected over the y-axis, what are the coordinates of A'?
Answers
Answer: A’ (1, 3)
Step-by-step explanation:
Reflecting in the y-axis will only reverse the x values
using a positive and negative integer, write an addition expression that equals -9
Answers
Answer:
-13 + 4
Step-by-step explanation:
For the sum to be negative, the absolute value of the negative integer has to be 9 more than the positive integer. There are an infinite number of equations, but here is one:
-13 + 4
amy runs 2 miles in 30 minutes how long will it take her to run 7 miles at this rate
Answers
Answer:
1 hour 45 minutes
Step-by-step explanation:
Time taken to cover a distance of 2 miles = 30 minutes.
Time required to cover 1 mile = 30/2 = 15 minutes.
Time required to cover 7 miles = 15×7
= 105 minutes or 1 hour and 45 minutes.
Alaina wants to decide whether her current cell phone plan is better than the package that another company offers
Answers
Answer:
Step-by-step explanation:
look for another phone company then
Elijah has
2
1
2
2
2
1
bags of candy. A bag of candy weighs
5
5 pounds. How many pounds of candy does Elijah have?
pounds of candy.1 in3 (3 is above inches)
Answers
Answer:
50 pounds
Step-by-step explanation:
A museum has an aquarium in the shape of a right rectangular prism that is 22.9 meters long, 7.5 meters wide, and 5.6 meters high. What is the volume, round to the nearest cubic meter, of the aquarium?
A. 280
B. 623
C. 1288
D. 962
Answers
Answer:
1288 c m 3
Step-by-step explanation:
To work out volume, you just do the simple calculation of height x width x length. So what we need to do here is 6 x 7.5 x 22.9 =
1212.5 c m 3 .
The decimal is a 5 so that is rounded up to give the nearest meter hence the answer to the question is
1288 c m 3 .
Which statements are true?
Select each correct answer.
A. All triangles have 3 straight sides.
B. Only some triangles are polygons.
C. All triangles are plane figures.
D. All triangles have 3 angles.
E. All triangles have one right angle.
Answers
Answer:
C. c. c.c.c.cc.c.c.
Step-by-step explanation:
If y varies jointly as x and z and y = 12 when x = -2 and z=3, find y when x is 4 and z is -1
A. 6
B. 9
C. 4
D. 8
Answers
Answer:
D. 8
Step-by-step explanation:
y varies jointly as x and z
y = k(xz)
-------------------------
Find k, the constant of variation
y = 12 when x = -2 and z=3
12 = k(-2 * 3)
12 = k(-6)
k = -2
-------------------------
find y when x is 4 and z is -1
using k = -2
y = -2(4 * -1)
y = -2(-4)
y = 8
ANSWER THIS ASAP NO FILE AT ATT!! IM AT 69 I NEED A 70 JUST GET IT RIGHT
Answers
Answer:
A
Step-by-step explanation:
A shows a counterclockwise 90° rotation, so it is the correct answer.
B shows a reflection.
C shows a translation.
-7(-2y-x+3)
7(-2y-x+3)
Answers
Answer:
14y+x-21
-14y-x+21
Step-by-step explanation:
The slope of the line that passes through the point (-2, -4) and (-3, -8) is ______
Answers
Answer:
4
Step-by-step explanation:
We know ,
Slope = difference of y co ordinate / difference of x coordinate
=> m = -8+4/-3+2
=> m = -4/-1
=> m = 4
Cherri filled out a deposit slip today. She deposited two checks for $56.13 and $22.10 and took out $20 in cash.
What was her net deposit?
Answers
Answer:
$58.23
Step-by-step explanation:
Let's say y is her net deposit. The equation you would want to use is y = 56.13 + 22.10 - 20.
8. Multiple Choice: Which equation is the factored form of x2 + 2x - 3 = 0?
a) (x - 1)(x + 3) = 0
b) (x - 1)(x - 3) = 0
c) (x - 3)(x + 1) = 0
d) (x+3)(x + 2) = 0
Answers
Answer:
X= 1
Y= -3
Factor and set each factor equal to 0
Need help ASAP plz !!!!!
Answers
Answer:
yep that is correct!
Step-by-step explanation:
Theorem of Pythagoras
hopefully the picture is clear and understandable!
:)
Use I = PRT to find the total amount in the savings account. Type in "money fo $1555.00 at 8% for 2 years
IF YOU ANWSER IM GIVING YOU 50 POINTS!
Answers
Step-by-step explanation:
use an interest calculator it is going to be much easier
I believe its $6986.25
https://www.bankrate.com/calculators/savings/simple-savings-calculator.aspx
Complementary and supplementary angles
Answers
Supplementary angles- equal 180º
That little box in the corner of the figure indicates 90º, meaning it will be formed by complementary angles
So, to find xº, subtract the known angles from the total 90
90-29 = 61º
Thus, xº is 61º
To run 12 miles, how many times must you run around a park that is 2 miles long and 1 mile wide?
Answers
An electric car traveled a record of 321.8 miles in one hour. At this rate, how far would it travel in 15 minutes?
Answers
Answer:
80.45 miles
Step-by-step explanation:
Divide and multiply
what is 90divided by 9??
Answers
Answer:
10 bc 9 • 10 = 90
Step-by-step explanation:
When Bunny and Walter came home from practice, there was a note from their mother sitting on top of a pizza box. “Had to run to a meeting. You two can share the rest of the pizza for dinner. Love ya!” When they opened the box, they saw that exactly one-fourth of the pizza was gone. If Bunny and Walter split what was left evenly, how much of the pizza will each get?
Answers
9514 1404 393
Answer:
3/8 pizza
Step-by-step explanation:
If 1/4 of the 4/4 of the pizza was gone, 3/4 remained. When that is split in half, each half is (3/4)(1/2) = 3/8 of the pizza.
Each gets 3/8 of the pizza.
which expression is equivalent to (7x^3)^2 (x^8)^1/2
Answers
Answer:
Step-by-step explanation:

Pls someone help me
Answers
triangle 1
10 x 12 = 120
120/2 = 60
triangle 2
10 x 12 = 120
120/2 = 60
triangle 3
18 x 12 = 216
216/2 = 108
triangle 4
18 x 12 = 216
216/2 = 108
add
108 + 108 + 60 + 60 = 336 square units