Find the length of the third side. If necessary, write in simplest radical form
Answers
Answer:
[tex] \sqrt{19} [/tex]
Step-by-step explanation:
Pythagoras
c² = a² + b²
with c being the Hypotenuse (= the side opposite of the 90 degree angle).
=>
10² = 9² + b²
100 = 81 + b²
19 = b²
b = sqrt(19) (≈ 4.36)
Related Questions
Please help...*puppy eyes*
(Will pick brainliest)
Answers
Step-by-step explanation:
Note that the denominators in the expression are perfect squares:
[tex] {x}^{2} - 5xy + 6 {y}^{2} = (x - 2y)(x - 3y)[/tex]
[tex] {x}^{2} - 4xy + 3 {y}^{2} = (x - y)(x - 3y)[/tex]
[tex] {x}^{2} - 3xy + 2 {y}^{2} = (x - y)(x - 2y)[/tex]
We can then write the given expression as
[tex] \frac{1}{ {x}^{2} - 5xy + 6 {y}^{2} } + \frac{a}{{x}^{2} - 4xy + 3{y}^{2} } + \frac{1}{{x}^{2} - 3xy + 2{y}^{2}}[/tex]
[tex] \frac{1}{ {x}^{2} - 5xy + 6 {y}^{2} } + \frac{a}{{x}^{2} - 4xy + 3{y}^{2} } + \frac{1}{{x}^{2} - 3xy + 2{y}^{2}}[/tex]
[tex] = \frac{1}{(x - 2y)(x - 3y)} + \frac{a}{(x - y)(x - 3y)} + \frac{1}{(x - y)(x - 2y)}[/tex]
[tex] = \frac{(x - y)(x - 2y) {(x -3y)}^{2} + a {(x - y)}^{2} (x - 2y)(x - 3y) + (x - y){(x - 2y)}^{2}(x - 3y) }{ {(x - y)}^{2} {(x - 2y)}^{2} {(x - 3y)}^{2} } [/tex]
Complete the steps to solve the -19x - 11=-144
Answers
Step-by-step explanation:
-19x - 11 = -144
collect like terms,
-19x = -144 + 11
-19x = -133
Divide both sides by the coefficient of x
-19x/-19 = -133/-19
-19 cross with -19 leaving x, negative cross with negative leaving 133/19
133÷19
Therefore, x = 7
Help pleaseeeeeeeeeeeeeeeeeeeeee
Answers
-12+-15+7=-20
Answer:
The answer is -20.
Step-by-step explanation:
To evaluate the expression, plug x= -3 and y= -5 into the expression. By plugging in the information given from the problem, the expression will look like 4(-3) + 3(-5) + 7.
Next, solve the expression, and the answer will be -20.
A cell phone company dropped the price by 7%. Which expression shows the new price of the phones(p)? A 0.07p B p-1.07 C p-0.07 D p-0.07p E 0.93p
Answers
Answer:
option D
Step-by-step explanation:
Let the price be p
7% of price = 0.07p
Price after decrease = p - 0.07p
What is the solution to the linear equation?
2.8y + 6 + 0.2y = 5y – 14
Answers
Answer:
2y +3x
Step-by-step explanation:
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PLEASE HELP! Joe was holding a kite with his hand 5' off the ground. The kite string is 125' long and has an angle of elevation of 56 degrees. How high off the ground is the kite?
Answers
Answer: 108.629 inches off the ground. (Round to any decimal place!)
Hi there! This is very similar to a question that I had yesterday, so I will do my best to try to answer it! I’m only in middle school, so this may not be correct :)
Step-by-step explanation:
First set up a diagram. The length of the string is the hypotenuse, and the angle of elevation is as pictured below. Use SOH CAH TOA to find the correct ratio, and then solve for “x”. Once you solve for “x” (height) add the 5 inches to the total, and your answer will be there! :)
MAX POINTS AND BRAINLIEST
Use the table below to write an equation in slope intercept form. How did you find the slope and the y intercept of the equation?
Answers
Answer:
y = 8x+9
Step-by-step explanation:
First find the slope
m = (y2-y1)/(x2-x1)
= ( 57-17)/(6-1)
= 40/5
= 8
The slope intercept form is y = mx+b where m is the slope and b is the y intercept
y = 8x+b
Substitute a point into the equation
33 = 8*3 +b
33 = 24+b
Subtract 24 from each side
33-24 = 24+b-b
9 = b
y = 8x+9
#equation
(1,7)(3,33)Slope
m=33-17/3-1m=16/2m=8.Now
y-y_1=m(x-x_1)y-17=8(x-1)y-17=8x-8y=8x+9On comparing to slope intercept form
y intercept is 9
The table shows the relationship “Mason rode 15 miles per hour on his bicycle.”
Hours (h)
Miles (m)
1
15
2
30
3
45
4
60
5
75
Which statements are correct? Check all that apply.
The variable m is the independent variable.
The number of miles increases as time increases.
The number of hours causes a change in the number of miles ridden.
The variable h is the independent variable.
The variable h is the dependent variable.
The farther Mason rides, the less time it takes.
The variable m is the dependent variable.
Answers
Answer:
Step-by-step explanation:
I'm assuming that the variable m is miles. You have to make that clear. It makes any answerer on here a little cranky when we have to guess.
A: Wrong. The first statement is wrong. m is the dependent variable. Time is usually the independent variable as it is in this case.
B: True. That happens
C: True. Miles increases as time increases.
D: True. If h is hours then H is the independent Variable
E: is wrong. H cannot be both, and it is not the dependent variable
F: False: The further he rides, the more time it takes.
G: True: m is the dependent variable.
Correct Statements.
B C D G
The axis of symmetry for a function in the form f(x) = x2 + 4x − 5 is x = −2. What are the coordinates of the vertex of the graph?
(−9, −2)
(−17, −2)
(−2, −17)
(−2, −9)
Answers
Answer:
D) [tex](-2,-9)[/tex]
Step-by-step explanation:
Vertex Form of a Vertical Parabola:
[tex]y=a(x-h)^2+k[/tex]
Vertex -> [tex](h,k)[/tex]
Axis of Symmetry -> [tex]x=h[/tex]
Vertical Scale Factor -> [tex]a[/tex]
To turn [tex]f(x)=x^2+4x-5[/tex] into vertex form, we need to complete the square on the right sideTherefore, if [tex]f(x)=0[/tex], then [tex]0+9=x^2+4x-5+9[/tex] completes the square on the right side This becomes [tex]9=(x+2)^2[/tex]This means that our function in vertex form is [tex]f(x)=(x+2)^2-9[/tex]Therefore, the vertex of the graph is [tex](h,k)=(-2,-9)[/tex].
The coordinates of the vertex of the graph is (-2, -9).
What are Quadratic Functions?Quadratic functions are polynomial functions consisting of variables and exponents and the degree of the variable is 2.
The general form of a quadratic function is f(x) = ax² + b x + c.
Given is a quadratic function,
x² + 4x - 5
Given that axis of symmetry of the function is x = -2.
So the x coordinate of the vertex = -2.
y coordinates = f(-2) = 4 - 8 - 5 = -9
Hence the vertex is (-2, -9).
Learn more about Vertex form here :
https://brainly.com/question/13921516
#SPJ5
Connor gathered data about the height of customers entering a store and the time that it took them to gather their items and enter the checkout line.
Connor's data:
Answers
Based on the data provided by Connor, the correlation coefficient of the relationship is -0.84.
What is the correlation coefficient?
Correlation is used to determine the type of relationship that exists between two variables.
A negative correlation is when the two variables move in opposite directions. If one variable increases, the other variable decreases. A negative correlation has a negative sign in front of it.
The correlation coeffcieenct can be determined using a financial calculator.
To learn more about negative correlation, please check: https://brainly.com/question/27246345
#SPJ2
Determine the interest paid on an investment of $2700 for 3years at a rate of 7.5% per annum compound interest
Answers
Step-by-step explanation:
hope you have understood.
Peter wants to measure the height of a tree. He walks exactly 100 feet from the base of the tree and looks up. The angle of elevation to the top of the tree is 23 degrees. About how toll is the tree
feet tall
The tree is about _____ feet tall
Answers
Step-by-step explanation:
everything can be found in the picture
Hello there, could you please help me? Thank you
Answers
Answer:
24
Step-by-step explanation:
Segment AC is 1/2 of segment AB so 12+12=24
Hope this helps
explanation; the bisector cuts it in the middle and the problem gave us half of that (12),
How much should be added to 58.4 to makes 400?
Answers
Answer:
341.6
Step-by-step explanation:
400-58.4=341.6
For 4 weeks, William volunteered as a helper for swimming classes. The first week, he volunteered for 8 hours. He volunteered for 12 hours in the second week, and another 12 hours in the third week. The fourth week, he volunteered for 9 hours. For how many hours did he volunteer per week, on average?
Answers
8+12+12+9=41
41/4= 10.25
Solve for y.
-24 = -8y
Simply your answer as much as possible.
Answers
Answer:
Y=3
Step-by-step explanation:
-8 times 3 equals -24
Answer:
y = -3
Step-by-step explanation:
-24 = 8y
Divide both side by 8
-24/8 = 8y/8
-24/8 = y
divide -24 by 8 to get -3
-3 = y
rewrite ..( optional )
y = -3
Find values of x, HJ, and JK.
Answers
Answer:
x = 2, HJ = JK = 11
Step-by-step explanation:
Given that H is the midpoint of JK , then
HJ = JK = 6x - 1 and
HJ + JK = JK , that is
6x - 1 + 6x - 1 = 3x + 16 ← simplify left side
12x - 2 = 3x + 16 ( subtract 3x from both sides )
9x - 2 = 16 ( add 2 to both sides )
9x = 18 ( divide both sides by 9 )
x = 2
Then
HJ = JK = 6x - 1 = 6(2) - 1 = 12 - 1 = 11
Evaluate yx^y - xy^x for x = 1/2 and y=4.
A: -3/4
B: -1/2
C: 1/4
D: 3/4
Answers
Answer:
b
Step-by-step explanation:
What is the greatest common factor of...
Answers
Answer:
3 a²b
Step-by-step explanation:
This is what I did:
3 a²b ( 5b² - 7a²)
when you try to expand this, it will give you back the original expansion so 3a²b is the greatest common factor
Pls help quicky! I will also give a brainliest!!!!!
Answers
Answer:
A) 7.12
Step-by-step explanation:
Simply, subtract 10.52 by 3.4 to get your answer or plug in each answer until you get 10.52
Hope this helps, good luck! :)
Christian has six grades from test and IXL. They are all weighted equally. If Christian's grades are 100,96,96,88,70, and 100, what is thhe current average grade? (Round to the nearest whole number)
Answers
Answer:
100+96+96+88+70+100=550
550 divided by 6 is 91 1/3
92 is his current grade
Find the indicated side of the right triangle, please help!
Answers
Answer:
x = [tex]7\sqrt{3}[/tex]
Step-by-step explanation:
By applying tangent rule in the given triangle,
tan(60°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
[tex]\sqrt{3}=\frac{x}{7}[/tex]
x = [tex]7\sqrt{3}[/tex]
Therefore, answer will be,
x = [tex]7\sqrt{3}[/tex]
Write the equation of the line that has an undefined slope and passes through the point (3,5)
Answers
Undefined slope is when a line becomes vertical. Vertical lines have undefined slope because if we attempt to find the slope using formula, the denominator will become 0 which is undefined.
Next, the equation of a vertical line is x = a where a is any real numbers.
Since the line is vertical, for any a-value would have same y-value which is all real numbers.
However since the graph passes through x = 3. For x = 3 has y-value as set of all real numbers.
Answer
The equation for a line that has undefined slope and passes through (3,5) is x = 3Let me know if you have any doubts!
What is the surface area?
5 ft
4 ft
5 ft
6 ft
5 ft
square feet
Answers
Answer:250 ft
Step-by-step explanation:
5 ft x 4 ft = 20
5 ft x 6 ft = 30
20 + 30 = 50
50 x 5 ft = 250 ft
I hope this helps and if its wrong im sorry
Let r(x)=x^2.If r(x)=4,find x
A.2
B.-2
C.4
D.Both 2 and -2 are correct
E.None of these choices are correct
Answers
Solve using suitable property and name the property applied. 3/5 x 35/24 + 15/6 x 3/5
Answers
Helppp pleaseee & thank you!!!
Answers
Answer:
A
Step-by-step explanation:
PLEASE HELP ME!!! I WILL GIVE BRAINLIEST
Answers
Answer: x = 5 p = 288
Step-by-step explanation:
6x-8 = 22
6x = 30
x = 5
75 =p/4 + 3
p/4 = 72
p = 288
Answer:
the first one will be
x=5
Does this graph represent a function? Why or why not?
Answers
Answer:
B yes
Step-by-step explanation:
As long as a verticle line intercepts the graph at no more than one point it is a function
Answer:
B. Yes, because it passes the vertical line test
Step-by-step explanation:
no x values are repeated
When laid flat, a round parachute has a radius of 6 meters. What is the parachute's diameter?
Answers
Answer:
12 meters
Step-by-step explanation:
The diameter is twice the radius
d = 2r
d = 2(6)
d = 12 meters
Answer:
the diameter is 12
Step-by-step explanation:
radius is half of the diameter
