Answer:
The equation is
X²+2x-48 = 0
Shorter one is 6 inches
Other side= 8 inches
Step-by-step explanation:
The equation for a right angle triangle normally is
A² = B² + C²
Where A = hypotenuse
Then B and C are the order sides of the triangle.
This time
Hypotenuse= 10 inches
The shorter one is X
While the other one is X+2
The equation
10²= x² +(x+2)²
100= x² + x² + 4x +4
100 - 4 = 2x² +4x
96= 2x² +4x
48 = x² +2x
X²+2x-48 = 0
Solving for x
X² +8x-6x-48= 0
X(x+8)-6(x+8)=0
(X-6)(x+8)= 0
X= 6 or x= -8
Definitely x is posiy
So x= 6
Shorter one is 6 inches
Other side= 6+2= 8 inches
Find 3/5 x 4/7 in simplest form
Answer:
3/5 * 4/7 = 12/35
you can find the answer by multiplying the numerator by the other numerator and the denominator by the other denominator
[tex]\frac{3}{5} \times \frac{4}{7}[/tex] in its simplest form is [tex]\frac{12}{35}[/tex]
To evaluate the given multiplication in its simplest form, we will find the product of the given two fractions.
First, let us write the given fractions properly
That is,
[tex]\frac{3}{5} \times \frac{4}{7}[/tex]
Now, we will carry out the multiplication operation
[tex]\frac{3}{5} \times \frac{4}{7} = \frac{3 \times 4}{5 \times 7}[/tex]
Then, we get
[tex]\frac{3}{5} \times \frac{4}{7} = \frac{12}{35}[/tex]
(NOTE: This is the simplest form as both the numerator and the denominator do not have a common factor)
Hence, [tex]\frac{3}{5} \times \frac{4}{7}[/tex] in its simplest form is [tex]\frac{12}{35}[/tex]
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please help o.o ¯\_(ツ)_/¯¯\_(ツ)_/¯¯\_(ツ)_/¯¯\_(ツ)_/¯¯\_(ツ)_/¯(┬┬﹏┬┬)(┬┬﹏┬┬)(┬┬﹏┬┬)Simplify 3x - 4 - 5x = 6 + 4x + 2
Bring all the X to the left side and all the numbers to the right side. ( remember to flip the signs )
3x - 4 - 5x = 6 + 4x + 2
3x - 5x - 4x = 6 + 2 + 4
-6x = 12
6x = -12
x = -2
if you run for 4 hours at 8miles an hour and walk 8 hours at 2 miles an hour, how far will you you have gone at the end of 12 hours?
Answer:
48 miles
Step-by-step explanation:
run -- 4 hrs at 8 mph = 4 • 8 = 32 miles
walk -- 8 hrs at 2 mph = 8 • 2 = 16 miles
32 + 16 = 48 miles
Find the sum. r/r^2-q^2 + 5/r+q
Answer:
The answer is:
[tex]\frac{6r-5q}{r^2-q^2}[/tex]
which agrees with the last answer option (D) in the list.
Step-by-step explanation:
In order to add rational expressions, we need to express them with the same denominator. Therefore we examine what factors there are in the first denominator, which happens to be a difference of squares which is readily factored out as:
[tex]r^2-q^2=(r+q)\,(r-q)[/tex]
the second denominator consists of only one of these factors: [tex](r+q)[/tex], then in order to express both rational expressions with the same common denominator, we multiply numerator and denominator of the second fraction by the factor: [tex](r-q)[/tex]
Then we get two expressions that can be easily added as shown below:
[tex]\frac{r}{(r+q)\,(r-q)} +\frac{5\,(r-q)}{(r+q)\,(r-q)} =\frac{r+5(r-q)}{(r+q)(r-q)} =\frac{r+5r-5q}{(r+q)\,(r-q)} =\frac{6r-5q}{r^2-q^2}[/tex]
suryana bought 16 watches for rs 16000. At what rate should he sell the watches to gain rs 3200?
Answer:
Step-by-step explanation:
So if 16 watches is 16000 rs, then if you want to make 3200 more rs, your total from 16 watches should be 19200 (which is 16000+3200)
so the rate per watch should be 19200/16 = 1200
So it should be 1200rs/watch is the rate
Answer:
So if 16 watches is 16000 rs, then if you want to make 3200 more rs, your total from 16 watches should be 19200 (which is 16000+3200)
so the rate per watch should be 19200/16 = 1200
So it should be 1200rs/watch is the rate
Step-by-step explanation:
Can someone help me plssss???
Acellus
x = [?]°
1040
1170
X
124°
1000
Hint: Sum = (n-2)180
Answer:
x = 95°
Step-by-step explanation:
The sum of the interior angles of any polygon is
sum = 180° (n - 2)
Here n = 5, thus
sum = 180° × 3 = 540°
Sum the given angles in the polygon and equate to 540
104° + 117° + 100° + 124° + x = 540°, that is
445° + x = 540° ( subtract 445° from both sides )
x = 95°
Math Math Math Math Math
Answer:
see below
Step-by-step explanation:
sqrt(2)+ sqrt(98)
sqrt(2) + sqrt( 2*49)
sqrt(2) + 7sqrt(2)
8 sqrt(2)
Answer:
[tex]\sqrt{2}[/tex]+ [tex]\sqrt{98}[/tex]
[tex]\sqrt{2}[/tex]+ [tex]\sqrt{2}[/tex] *49
[tex]\sqrt{2}[/tex] + 7[tex]\sqrt{2}[/tex]
8 [tex]\sqrt{2}[/tex]
Which words or phrases define a ray [Geometry]
It consists of two end points
It goes in one direction and indefinitely
It’s an undefined term
It consist one endpoint
You used to points to name it
It consist of all points in between the two points
Answer:
It goes in one direction and indefinitely.
It consist one endpoint.
Step-by-step explanation:
A ray is a straight line that emerges out of a start point and moves in a direction. The line begins with the start point and moves in one direction. The start point and the other side are named with capital letters. It is denoted by writing the two letters and placing an arrow above the letters. There is no endpoint in a ray.
Factorise P(2m+n)+(q-r)(2m-n)
Answer:
2Pm+Pn+2qm-qn-2rm+rn
Step-by-step explanation:
Can someone help me pls!
This question is about how transformations can affect graphs.
First, we'll want to get rid of that -4 on the function of F.
So we can reflect the function over the y-axis and then compress it by a factor of 4 to make the graph [tex]x^2[/tex].
Then we can move the graph over to the left 3 because the c value is positive, meaning that we move the graph over to the left.
Finally, we can move the function of by [tex]\frac{2}{3}[/tex] because the d value is positive, meaning that we move the graph up.
Hope this helps.
頑張って!
evaluate the numerical expression. 8 X {[(7 + 4) X 2] - [(11 - 7) X 4]}
Answer:
48
Step-by-step explanation:
To solve this we need to do the operations in the brackets first. We should start with the innermost brackets. Then, we work our way outwards. To show my working out I will use an asterisk (*) for multiplication to not confuse X as a variable.
8*{[(7 + 4) * 2] - [(11 - 7) * 4]}
= 8*{[(11) X 2] - [(4) X 4]}
= 8*{[22] - [16]}
= 8*{6}
= 48
Angle 1 and Angle 2 are complementary. The measure of Angle 1 is 21
more than twice the measure of Angle 2. Find the measure of Angle 1
Since both angles are complementary, then Angle 1 + Angle 2 = 90°
Using algebra,
let Angle 2 be X and Angle 1 be (2X + 21°)
Now we have an equation of,
( 2X + 21 ) + X = 90°
step 1 : open up the brackets first.
step 2 : bring 21° to the other side (rmb to flip the sign)
step 3 : bring the 3 over n it becomes " ÷3 "
( 2X + 21° ) + X = 90°
2X + 21° + X = 90°
3X = 90° - 21°
X = ( 90° - 21° ) ÷ 3
= 23°
Sub X=23° into Angle 1 ( 2X + 21° ),
2(23°) + 21° = 67°
Therefore,
Angle 1 = 67°
i hope my solution helps :))
Homer and Bart plan to buy one computer for $499.00 strictly for gaming purposes. Games cost $49.99 each. Part A: Define each variable and write an algebraic expression to describe how much they will spend before sales tax, based on purchasing the computer and the number of games. Part B: If they purchase one computer and five games, how much do they spend before sales tax? Part C: Homer and Bart have friends. They want to purchase extra controllers. Each controller costs $24.99. Use an algebraic expression to describe how much they spend in total (before sales tax) when they purchase one computer, when they purchase any number of games, and when they purchase any number of extra controllers. Part D: What would be the total cost, before sales tax, if Homer and Bart purchase one computer, four games, and three extra controllers?
Answer:
use 499.00+the number of games times 49.99Step-by-step explanation:
Please brailiest
Twice the sum of six "x" and seventy eight.
Answer:
2(6x+78)
Unless it's the exact number. You hadn't specified what x is.
A lorry driver charges $1800 to carry 60 tonnes of weight. How much will he charge for carrying 80 tonnes at the same rate
Answer:
$2400
Step-by-step explanation:
60 tonnes = $1800
80 tonnes = $?
= 1800 × 80/60
= $2400
Step-by-step explanation:
$2400 to Carry 80tonnes of weight
1 mile to yards, as a fraction..
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Since 3 feet is a yard, one foot is 1/3.
So that is the answer.
Answer:
1/3
1 mile to yards as a fraction would probably be 1/3. I'm not so sure...
Angles Find the values of x and y
Answer:
15 23
Step-by-step explanation:
Answer:
Step-by-step explanation:
11x - 6 + 15x - 8 = 90
26x - 14 = 90
26x = 104
x = 4
11(4) - 6 = 44 - 6 = 38
13y - 14 + 38= 180
13y + 24 = 180
13y = 156
y = 12
13(12) - 14 = 156 - 14=142
After your yearly checkup, the doctor has some bad news and some good news. The bad news is that you tested positive for a serious disease, and the test is 99% accurate( i.e. that probability of testing positive given that you have the disease is .99, as is the probability of testing negative given that you don’t have the disease). The good news is that this is a rare disease, striking only one in 10,000 people. What are the changes that you actually have the disease?
Answer:
0.009804
Step-by-step explanation:
We are given;
probability of testing positive given that you have the disease is 0.99
Also, probability of not testing positive and not having the disease is 0.99
We are also told that it is a rare disease and so strikes only 1 in 1000 people = 0.0001
Let's denote positive test by T+, negative test by T¯, having the disease by D+, not having the disease by D¯.
So, we can now denote all the values in probability we have written earlier.
Thus:
P(T+ | D+) = 0.99
P(T¯ | D¯) = 0.99
P(D+) = 0.0001
Thus, P(D¯) = 1 - P(D+) = 1 - 0.0001 = 0.9999
Now, let's find probability of testing positive;
P(T+) = (P(T+ | D+) × P(D+)) + (P(T+ | D¯) × P(D¯))
Now, (P(T+ | D¯) is not given but by inspection, we can infer from the values given that it is 0.01
Thus;
P(T+) = (0.99 × 0.0001) + (0.01 × 0.9999)
P(T+) = 0.010098
Chances that one has the disease would be gotten from Baye's theorem;
P(D+ | T+) = (P(T+ | D+) × P(D+))/P(T+) = (0.99 × 0.0001)/0.010098 = 0.009804
Express the given expanded numeral as a Hindu-Arabic numeral.
(1x 10-1) + (4x10-2) + (9x10-3) + (7x10-4)
(1x 10-1) + (4x10-2) + (9x10 -3) + (7x10-4)=Type an integer or a decimal.)
Answer:
0.1497
Step-by-step explanation:
1×.1 +4×.01 +9×.001 +7×.0001 =
.1 +.04 +.009 +.0007 = 0.1497
What are the correct intermediate steps of the following data set when it is being sorted with the bubble sort? 15, 20, 10, 18
A. 15,10,20,18 -- 15,10,18,20 -- 10,15,18,20
B. 10, 20,15,18 -- 10,15,20,18 -- 10,15,18,20
C. 15,20,10,18 -- 15,10,20,18 -- 10,15,20,18 -- 10,15,18,20
D. 15,18,10,20 -- 10,18,15,20 -- 10,15,18,20 -- 10,15,18,20
Answer:
A. 15,10,20,18 -- 15,10,18,20 -- 10,15,18,20
Step-by-step explanation:
Bubble sorting can be defined as a technique or methodology whereby numbers that are not in their proper order are sorted into proper order that is from smallest to highest( increasing to decreasing order).
The method of bubble sorting involves the shuffling or swapping of adjacent numbers until the numbers are well sorted or arranged.
In the above question, we were given, a set of numbers:
15, 20, 10, 18
Step 1
20 is adjacent to 10
20 > 10
hence we swap
= 15,10,20,18
Step 2
From, 15,10, 20,18
20 is adjacent to 18
20 > 18
hence we swap
= 15,10,18,20
Step 3
From step 2, which gave us 15,10,18,20
15 us adjacent to 10
15 > 10
We swap
= 10,15,18,20
Hence,
15, 20, 10, 18 -- 15,10,20,18 -- 15,10,18,20 -- 10,15,18,20
Therefore, Option A is the correct option.
The correct intermediate steps of data 15, 20, 10, 18 set when it is being sorted with the bubble sort is; Choice A: 15,10,20,18 -- 15,10,18,20 -- 10,15,18,20.
Definition;
Bubble sort, otherwise termed the sinking sort, is a simple sorting algorithm that repeatedly steps through the list, compares adjacent elements and swaps them if they are in the wrong order.
With emphasis on the word adjacent, it is evident Choice A is the correct intermediate steps of the data set 15, 20, 10, 18 when it is being sorted with the bubble sort.
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Han wants to convert his Canadian dollars to euros for his trip to France. He has 252 Canadian dollars. The current exchange rate is 1.28 Canadian dollars per euro. How many euros will he have?
Answer:
196.88 euros
Step-by-step explanation:
Divide 252 by 1.28
252/1.28
= 196.88 euros
Which of the following is a statistical question? A. What state were you born in? B. How tall is Ms. Lin? C. What are the ages of the students in your class? D. What is the formula for the circumference of a circle?
Answer:
C
Step-by-step explanation:
makes sense
How do you do this question?
Step-by-step explanation:
F(x) = ∫ₐˣ t⁷ dt
F(x) is the area under f(t) between t=a and t=x. When x=a, the width of the interval is 0, so the area is zero.
F(6) = 0, so a = 6.
F(x) = ∫₆ˣ t⁷ dt
F(6) = ∫₆⁶ t⁷ dt
F(6) = 0
What is the slope of the line?
La pendiente de una recta es la tangente del ángulo que forma la recta con la dirección positiva del eje de abscisas. En funciones no lineales, la razón de cambio varía a lo largo de la curva. La derivada de la función en un punto dado es la pendiente de la línea tangente en dicho punto.
F:V 7w7
What is the value of x?
3
6
10
12
Answer:
value of x is 6.
please follow me.
Your answer would be B- 6. Hope this helps you!!
HELP ASAP PLEASE Question 1 Part A What inference can be made about the "Using Our Imaginations" section in the Newsela article "Health Benefits of Reading, Writing, Are Not Just for Patients"? Part B Which evidence best supports the answer in Part A? “Reading stories is a chance for children and adults to talk about the complicated parts of life.”
The answer to the first one is A and the second one is D
(I took the test)
Answer:
Fist one:
A
Second one:
D
Step-by-step explanation:
→!Hope this helps I toke the test!←BRAINLY I NEED HELP ASAPPPP!!
After game 6, her mean number of points scored per game is 9.
How many points did Maya score in game 6?
A. 4
B. 8
C. 9
D. 10
Answer:
b
Step-by-step explanation:
8
hellllllllpppppp - Which expression is equivalent to x+x+y+y+3(2+4)?
A . 2x+2y+18
B.18x+18y
C. 4xy+10
D.22xy
Step-by-step explanation:
x + x + y + y + 3(2 + 4)
= 2x + 2y + 3(6)
= 2x + 2y + 18
los números reales se representan por
Los números reales están representados por números racionales e irracionales.
Un número racional es un número real que se puede formar dividiendo dos números enteros (un número entero es un número sin parte fraccionaria). La palabra viene de "ratio".
Un número irracional es un número real que NO se puede hacer dividiendo dos números enteros (un número entero no tiene parte fraccionaria). "Irracional" significa "sin relación", por lo que no es un número racional.
¡Espero eso ayude!