Answers
Answer:
x = 4√3, or approximately 6.93
Step-by-step explanation:
This is a right triangle with hypotenuse 13 and side lengths x and 11. According to the Pythagorean Theorem, x^2 + 11^2 = 13^2 = 169, or
x^2 + 121 = 169, or
x^2 = 48.
x must be a positive quantity. Thus, x = +√48 = + √3·√16 = +4√3
Thus, x = 4√3, or approximately 6.93
Related Questions
What is the equation of the axis of symmetry of the parabola y=-2x^2+8x-7?
x=.....
Answers
Answer:
Equation of axis of symmetry is x = 2
Step-by-step explanation:
The equation of the parabola is given as;
y = -2x² + 8x - 7
The equation of the axis of symmetry is given by;
x = -b/2a
In the parabola equation given and using letters of quadratic equation, we can say that;
a = - 2
b = 8.
c = -7
Thus;
x = -b/2a = -8/(2 × - 2)
x = 8/4
x = 2
Equation of axis of symmetry is x = 2
I need to find what x
Answers
Answer:
Step-by-step explanation:
Add the 21 then divide by 2
Answer:
x = 16, x = -7
Step-by-step explanation:
The question is;
35 * 4 = ( x - 7 ) ( x - 3 )
Combine like terms on one side;
140 = ( x - 7 ) ( x - 3 )
Distribute, remember to multiply every term with one another;
140 = [tex]x^{2}[/tex] - 3x - 7x + 21
Combine like terms;
140 = [tex]x^{2}[/tex] - 10x + 21
Inverse operations;
140 = [tex]x^{2}[/tex] - 10x + 21
-21 -21
119 = [tex]x^{2}[/tex] - 10x
Factor;
119 = x ( x - 10 )
At this point it is fairly obvious that;
x = 16, x = -7
Note; One could have used a multitude of methods to solve this problem, one could have factored, completed the square, or used the quadratic formula, this method was simply chosen because it is easy to explain
Give the least common denominator: 3/4, 7/8 _____
Answers
Step-by-step explanation:
step 1. LCD of 3/4 and 7/8 is 8.
Randy is 3 years old. His sister is 4 times older. How old is randys sister
Answers
Answer:
12 years old is the answer
Find the measure of an angle and its complement if one angle measures 18 degrees more than the other?
Answers
Answer:
x+18=90-x
use this equation and solve
2x=72
x=36
36+18=54
90-54=36
54 degrees and 36 degrees
The solution is, the measure of an angle and its complement are, 54 degrees and 36 degrees.
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
We know that, a ray is a line that continues on forever inn one direction with a point at it's start.
here, we have,
let, one angle = x
x+18=90-x
use this equation and solve
2x=72
x=36
so, we get,
36+18=54
90-54=36
Hence, The solution is, the measure of an angle and its complement are, 54 degrees and 36 degrees.
To learn more on angle click:
brainly.com/question/28451077
#SPJ6
25a² -4b²+28bc-49c² factorize
Answers
Step-by-step explanation:
Since both terms are perfect squares, factor using the difference of squares formula,
Step-by-step explanation:
= 25 a²- ( 4b²- 28bc +49c²)
=. 25a²- {( 2b)²- 2(2b)(7c)+ (7)²}
= 25a²- { (2b - 7c)²}
= (5a)²- (2b -7c)²
= { 5a -(2b-7c)} { 5a+ ( 2b-7c)}
= ( 5a - 2b +7c) ( 5a +2b - 7c)
plz mark my answer as brainlist plzzzz.
hope this will be helpful to you .
plz you find it useful plz mark my answer as brainlist.
Find the length of the third side. If necessary, write in simplest radical form. 1 2
Answers
Answer:
√3
Step-by-step explanation:
Using the pythagorean theorem, we know that a^2 + b^2 = c^2
In this case, c = 2, which means that a^2 + b^2 = 4
Since we know that a = 1, this means that a^2 is also 1. So, we know that b^2 = 4 - 1
Therefore, b^2 = 3
So, the answer is square root 3
Plz mark as brainliest :D!
anyone knows this?!!?
Answers
Answer:
is that just 1/2 lol i think but if u want add me on disc Andreww#6506
Step-by-step explanation:
Select the Equivalent Expression. 3 negative 5 =? I cant find the negative sign on here lol.
Answers
Answer:
Step-by-step explanation:
do you mean 3-5=-2 ?
Answer:
3+,-5 =-2
Step-by-step explanation: you mean this if you do your welcome
Given: EGEF = JK
Prove: FG = HJ
PLEASE HELP ASP
Answers
Answer:
Done.
Step-by-step explanation:
EG = EF + FG
HK = HJ + JK
We have: EG = HK and EF = JK => FG = HJ
The length of a bed would be about
Answers
Answer:
2 yards.
Step-by-step explanation:
We know that a length of a bed is DEFINITELY not 2 miles, and it isn't 2 inches either, because they're both too big and too small. However, 2 feet is also pretty small, too, because 2 feet is about the size of a crib. So what's left is 2 yards, so a bed is about 2 yards.
Answer:
2 yards
Step-by-step explanation:
The question is asking what the length of a bed would be.
To answer this question, it's basically common sense, how long is a bed usually, it would be about 5 to 10 feet, big enough to fit a human with no uncomfortability.
So with this info, we can scratch D and B. As for A and C, let's convert them into feet.
1 yard equals 3 feet, meaning two yards would be 6 feet.
1 mile is 5280 feet, this is obviously wrong.
A is our answer.
1. "Six less than twice a murider."
A. 6 - 2x
B. 2x - 6
C. 6x-2
D. 2 - 6x
2. "Five times the sum of a number and four."
A. 5y + 4
B. 4(y + 5)
C. 5 + 4y
D. 5(y + 4)
3. Which is the correct translation of the given 2(m - 3)?
A. Twice difference of 3 and miste C. Twice the difference of m and 3.
6. Twice the sum of m and 3.6
D. Twice the sum of m and 3.
4. "Ten less than thrice the a number"
A. 10 - 3b
B. 3b - 10
C. 106 - 3
D. 3 - 10b
5. Given, m - 4, complete this: 4
A. minus
B. diminished by
a number
C. subtracted from
D. decreased by
6." The ratio of 7 and a number decreased by 2."
A. 7/(x-2)
B. (71x) - 2
C. 7X-2
D. 7 - 2/x
7. "The difference of 10 and k divided by 4 yields to 2."
A. (10-k)/4 = 2 B. 10 - (k/4) = 2 C. 10K/4 = 2
D.K-10/4 = 2
8. "Four times the sum of 12 and y is equal to 60.
A. 4y + 12 = 60 B. 4 + 12y
C. 4(12) + y = 60 D. 4(12 + y) = 60
9. All of the following are correct except
2x + 4; Twice a pumber
A. increased by B. added to
C. plus
D. more than
= 60
10. "8 times a number decreased by 13 becomes 3."
A. 8x + 13 = 3 B. 86- 13 = 3
C. 13 - 8x = 3
D. 13 + 8x = 3
branleast kpo ang sasagot neto
Answers
Answer:
C. 6x-2D. 5(y + 4)C. Twice the difference of m and 3.B. 3b - 10B. diminished bya numberB. (7/x) - 2A. (10-k)/4 = 2D. 4(12 + y) = 60D. more than= 60B. 8x- 13 = 31. "Six less than twice a murider."
A. 6 - 2x
B. 2x - 6
C. 6x-2
D. 2 - 6x
2. "Five times the sum of a number and four."
A. 5y + 4
B. 4(y + 5)
C. 5 + 4y
D. 5(y + 4)
3. Which is the correct translation of the given 2(m - 3)?
A. Twice difference of 3 and miste C. Twice the difference of m and 3.
6. Twice the sum of m and 3.6
D. Twice the sum of m and 3.
4. "Ten less than thrice the a number"
A. 10 - 3b
B. 3b - 10
C. 106 - 3
D. 3 - 10b
5. Given, m - 4, complete this: 4
A. minus
B. diminished by
a number
C. subtracted from
D. decreased by
6." The ratio of 7 and a number decreased by 2."
A. 7/(x-2)
B. (71x) - 2
C. 7X-2
D. 7 - 2/x
7. "The difference of 10 and k divided by 4 yields to 2."
A. (10-k)/4 = 2 B. 10 - (k/4) = 2 C. 10K/4 = 2
D.K-10/4 = 2
8. "Four times the sum of 12 and y is equal to 60.
A. 4y + 12 = 60 B. 4 + 12y
C. 4(12) + y = 60 D. 4(12 + y) = 60
9. All of the following are correct except
2x + 4; Twice a pumber
A. increased by B. added to
C. plus
D. more than
= 60
10. "8 times a number decreased by 13 becomes 3."
A. 8x + 13 = 3 B. 86- 13 = 3
C. 13 - 8x = 3
D. 13 + 8x = 3
branleast kpo ang sasagot neto
ALGEBRA 15 POINTS please help will give 15 points
Answers
Answer:
angle FEX is 105
Step-by-step explanation:
x=30 just plug that in and check(i already did but if u want to u can do it too).
An expression is given
4x + 5y + 7x
Identify the coefficient(s) and constant.
Coefficient: 4,5 and Constant: 7
Coefficient: 4,5,7 and Constant: None
Coefficient: None and Constant: 4,5,7
Coefficient: 4,7 and Constant: 5
Answers
Step-by-step explanation:
The coefficients are 4, 5 and 7
There is no constant
The second one is right
Answer:
Coefficient: 4,5,7 and Constant: None
Step-by-step explanation:
A coefficient can be defined as the number next to the variable or unknown numbers
This would be 4, 5, and 7
However, there does not seem to be a constant, which is a value that should not be the coefficient of a variable.
please help.
is it increasing or decreasing?
only one answer please.
Answers
Answer:
Increase
Step-by-step explanation:
Hope this is correct
Write an explicit and recursive rule for the geometric sequence -5, 10, -20, 40… and use it to find the 12th
Answers
Answer:
See solutions below
Step-by-step explanation:
Given the sequence -5, 10, -20, 40...
The nth term of the GP is expressed as;
Tn = ar^n-1
a is the first term
r is the common ratio
n is the number of terms
From the sequence, a = -5
r = 10/-5 = -20/10 = -2
Substitute
Tn = -5(-2)^n-1
This gives the explicit formula
For recursive;
a1 = -5
a2 = 10 = -2(-5) = -2a1
a3 = -20 = -2(10) = -2a2
From the shown sequence, we can see that;
an = -2an-1
This gives the recursive formula
Get the 12th term;
Using the explicit formula
T12 = -5(-2)^12-1
T12 = -5(-2)^11
T12 = -5(-2048)
T12 = 10240
Hence the 12th term is 10240
Determine if the lines are parallel, perpendicular or neither. Show all work.
x - 5y = 30 and 10y = 2x + 90
Answers
Answer:
The lines are parallel
Step-by-step explanation:
Answer:
Step-by-step explanation:
Put the equations into slope-intercept form.
x-5y = 30 ⇒ y = ⅕x - 6
10y = 2x + 90 ⇒ y = ⅕x + 9
Both lines have slope = ⅕, so the lines are parallel.
What does (x-6) ( x-2) represent
Answers
x^2-8x+12
Step-by-step explanation:
you foil them
Which equation shows exponential GROWTH?
A) y=.5^x
B) y=.25^x
C) y= 25^x
D) y= .2^x
Answers
c) y = 25^x
explanation
because y increase as x increases
There is an unknown number of people at the table at the
beginning of lunch. Then...
3 more people joined the group.
Then the entire group divided into 2 groups, and
one group left and went outside,
of the total students were left in the lunchroom
5 people joined the group in the lunchroom.
The total number of people in the lunchroom at the
end of lunch was 10
a. Write the equation you can create to show this situation.
b. How many people were at the table at the beginning of lunch? Explain how you know.
Answers
Answer:
11 hours ago u prob dont need it
Step-by-step explanation:
123456
Expand: f(x)= x^4- x^3+x^2+x-
Answers
Find the measures of the numbered angles for each parallelogram.
Answers
Answer:
Step-by-step explanation:
∠1=60
∠2 =60
In slope-intercept form ?
Answers
Answer:
A) $5.5= 0.25(17)+0.05(n) where n = nickels
B) 25 nickels
Step-by-step explanation:
Find the missing side of the triangle. Round to the nearest tenth.
A) 5.5
C) 14.1
B) 12.7
D) 9.5
Answers
fill the empty slots by dragging tiles from the left to show the next step for solving the equation. Use the equation machine to solve this equation. x =
Answers
The solution to the equation 2 = -(7/4) + (1/4)x is x = 15
What is an equation?An equation is an expression used to show the relationship between two or more numbers and variables.
Given the equation:
2 = -(7/4) + (1/4)x
Add 7/4 to both sides of the equation:
2 + 7/4 = -(7/4) + (1/4)x + 7/4
(1/4)x = 15/4
Multiply both sides by 4:
x = 15
The solution to the equation 2 = -(7/4) + (1/4)x is x = 15
Find out more on equation at: https://brainly.com/question/2972832
Amanda bought 4 pairs of jeans for $71.40. How much would she need to pay for 8 pairs of jeans?
Answers
==========================================================
Explanation:
To get this answer, we double the 71.40 to get 142.80
You can think of it like an equation and we multiply both sides by 2
4 jeans = 71.40 dollars
2*(4 jeans) = 2*(71.40 dollars)
8 jeans = 142.80 dollars
------------
Or you could solve it like this
(4 jeans)/(71.40 dollars) = (8 jeans)/(x dollars)
4/71.40 = 8/x
4x = 71.40*8
4x = 571.2
x = 571.2/4
x = 142.80
------------
Yet another way to solve is to first find the unit rate
4 jeans cost 71.40, so that must mean 1 pair of jeans cost 71.40/4 = 17.85 dollars. This is the unit rate since "unit" means "one". It's the price per pair of jeans.
Multiply that by 8 to find out how much 8 pairs will cost, and we get 17.85*8 = 142.80
What is the slope and y-intercept of the following equation: y = -4 +2x
Answers
Answer:
slope = 2, y- intercept = - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 4 + 2x , that is
y = 2x - 4 ← is in slope- intercept form
with slope m = 2 and y- intercept c = - 4
Pls help I really need it
Answers
solve for variable y answer in simplest radical form
Answers
Answer:
option A
Step-by-step explanation:
option A y = 9√3 is the correct answer .
In∆ PQR
cos 30 = y /18
√3/2 = y / 18
y = 9√ 3
plz mark my answer as brainlist plzzzz.
hope this will be helpful to you .
Distance=7cm/1yrx1000yr=
Answers
9514 1404 393
Answer:
70 m
Step-by-step explanation:
Perhaps you want to evaluate the expression:
[tex]\dfrac{7\text{ cm}}{1\text{ yr}}\cdot 1000\text{ yr}=7000\text{ cm}=70\text{ m}[/tex]
__
There are 100 cm in 1 m. The units of yr cancel.