Find the length of the third side. If necessary, write in simplest radical form.
Answers
Answer:
third side = 6
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
let the third side be x , then
x² + 4² = (2[tex]\sqrt{13}[/tex] )²
x² + 16 = 52 ( subtract 16 from both sides )
x² = 36 ( take square root of both sides )
x = [tex]\sqrt{36}[/tex] = 6
Related Questions
If a sea turtle traveled 2.8 miles at
top speed in 2 hours, how far
did it travel in one hour?
Answers
Answer: 1.4 mph
Step-by-step explanation: It traveled 2.8/2 mph or 1.4 mph.
Would appreciate brainly <3
Answer:
It will travel 1.6 mile
Step-by-step explanation:
3 feet in 4 minutes
A._______________
B._______________ per 16 minutes
Answers
Answer:
B. 12 per 16 minutes
Step-by-step explanation:
4×4=16, so multiply 3x4to get 12
What is the y-intercept of the following table?
Gasoline Usage
Miles Driven,
Х
Gallons of
Gasoline in
Tank, y
0
15
10
14.6
20
14.2
35
13.6
60
12.6
75
12
Your answer
Answers
Answer:
15
Step-by-step explanation:
it's where you start. where your going to start you slope on the graph which means that the x would be 0
What is the quotient?
-3/8 divided by -1/4
Answers
Answer: D. 1 1/2.
Step-by-step explanation: -3/8÷-1/4 (-3/8)(-4/1) -3/8/-4/1 Cancel out the terms of 8 and -4. 8/4 (-3)(-1)/2 3/2 D. 1 1/2
how do you tell between a linear and non-linear function?
Answers
Answer:
linear functions have no exponents higher than 1, and a graph that looks like a straight line. non-linear functions have at least one exponent higher than 1, and a graph that isn't a straight line.
Step-by-step explanation:
How do you do the elimination method on these equations: 3x = y+5 and 2x+y=5
Answers
Answer:
[tex](2,1)[/tex]
Step-by-step explanation:
Let's first write down the first in traditional form:
[tex]\left \{3x-y=5} \atop {2x+y=5}} \right.[/tex]
At this point, let's choose the order we want to do it.
Eliminating x: Let's multiply the first by 2, the second by 3, and subtract one from the other. Rest is simple algebra
[tex]2I-3II: 6x-2y -6x-3y = 10-15\\-5y=-5 \rightarrow y=1[/tex]
Eliminating y: Let's simply add the two equations together. Rest is simple algebra
[tex]I+II:3x-y+2x+y = 10\\5x=10 \rightarrow x = 2[/tex]
in the diagram above <1=135 find the measure of <3
Answers
2+4=? what does ? equal?
Answers
Answer:
= 6
Step-by-step explanation:
2+4 = 6
hope this helps.
ANSWER :
2+4 = 6
Step-by-step explanation:
Thanks for free point lol
4.
Which of the following is the minimum value of the equation y= 1/3x^2 + 2x + 5?
A. 1/3
B. -3
C. 2
D. 5
Answers
Answer:
C. 2
Step-by-step explanation:
Use the formula
x = − b /2 a
to find the maximum and minimum.
( − 3 , 2 )
Select the choice that translates the following verbal phrase correctly to algebra: (1 point)
the product of 12 and y increased by 11
12(y + 11)
12y + 11
12 + 11y
12(11y)
Answers
Answer:
[tex]⟼12(y + 11)[/tex]
can someone help me plsss
Answers
Answer:
c=23/24
Step-by-step explanation:
c+3/8=1/1/3
c+3/8=4/3
c+9/24=32/24
c=32/24-9/24
=23/24
-2/9 as a decimal help
Answers
Answer:
-.222
Step-by-step explanation:
Hey there!
To find the decimal form of a number you have divide the numerator (top number) from the denominator (bottom number) and you should have your result then
a / b
= a ÷ b
= result
Equation: -2/9
= -2 ÷ 9
= -0.222222
Answer: -0.222222
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
What is the quotient?
126 divided by 7
A. 18
B.16
C. 19
D. 17
Answers
Answer:
A
Step-by-step explanation:
I know that 20 times 7 is 140 and if I take away 2 sevens that leaves 126. So 126 \div 7 = 18
Answer:
A. 18
Step-by-step explanation:
I took a photo of my work I didn't know how I could type that here
Tell me if I'm wrong :)
A color printer prints 23 pages in 10 minutes. How many minutes does it take per page?
Answers
23. 1
10 = x
23x = 10
X = 10/23 of a minute per page.
If you have one quarter, nine pennies, six dimes, and one nickle, how much money would you have?
Answers
Answer:
99 cents
Step-by-step explanation:
one quarter=25 cents
nine pennies= 9 cents
six dimes= 60 cents
one nickle= 5 cents
25+9+60+5=85+14=99
Answer:
99 cents
Step-by-step explanation:
quarter = 25 cents
pennie = 1 cent
dime = 10 cents
nickle = 5 cents
1 quarter = 25 cents
9 pennies = 9 cents
6 dimes = 60 cents
1 nickle = 5 cents
25 + 9 + 60 + 5 = 99 cents
How do you evaluate (x+3)2 ?
Answers
Step-by-step explanation:
[tex]x = 1[/tex]
[tex] [/tex]
HOPE It Helps it;D
Answer:
2 • (x + 3)
Step-by-step explanation:
Which expression is equivalent to StartFraction RootIndex 7 StartRoot x squared EndRoot Over RootIndex 5 StartRoot y cubed EndRoot
Answers
Answer:
Option A
Step-by-step explanation:
The graph of a quadratic function has y-intercept 10 and one of its x-intercepts is 1
Answers
Answer:
c = 10
Step-by-step explanation:
For quadratic
y = ax^2 +bx +c
the y-intercept is c.
c = 10
_____
The y-intercept is the value of y when x=0. Using x=0 reduces the equation to ...
y = c
30/x = 54/81 what value does x have to be to make it true
Answers
Answer:
x=45
Step-by-step explanation:
30/x = 54/81
30 = 54/81(x)
x = 30 ÷ 54/81
x=45
Answer:
x = 45
Step-by-step explanation:
30/x = 54/81
~Cross multiply
30 * 81 = 54 * x
~Simplify
2430 = 54x
~Divide 54 to both sides
45 = x
Best of Luck!
work out the m and c for the line 3y+2x=-1
Answers
Answer:
m = -2/3 and b = -1/3
Step-by-step explanation:
Write the equation of this line in slope-intercept form. Then m = slope and b = y-intercept and the basic equation is y = mx + b.
Solving 3y+2x=-1 for y, we get 3y = -2x - 1, or y = (-2/3)x - 1/3
Here we can easily see that m = -2/3 and b = -1/3.
Carey creates the table below to help him determine 75% of 36.
75% of 36
25%
25%
25%
25%
One-fourth
One-fourth
One-fourth
One-fourth
9
9
9
9
He writes the expression (three-fourths) (27). Which change in Carey’s expression will lead him to the correct answer?
Answers
Answer:
27 is the answer
Step-by-step explanation:
36/.75=27
need help with pre-cal please
Answers
Answer:
x = n² ± n√(n² + 8)Step-by-step explanation:
x ≠ 0, n ≠ 04/x² + 1/x = 1/(2n²)(x + 4)/x² = 1/(2n²)2n²(x + 4) = x²x² - 2n²x - 8n² = 0D = (-2n²)² - 4(-8n²) = 4n⁴ + 32n² = 4n²(n² + 8)x = (2n² ± 2n√(n² + 8))/2x = n² ± n√(n² + 8)Dave owns 15 shares of ABC Mining stock. On Monday, the value of
each share rose $2, but on Tuesday the value fell $5. What is the
change in the value of Dave's shares?
To travol tho
Write an expression to represent.
Answers
Answer:
15(2) + 15 (-5) . #45 drop
Step-by-step explanation:
100 POINTS!!!!!! hELP ASAP EXAM
Show that ( + )^2 = ( + )( − ) + 2
Answers
Answer:
2+y=x÷2 y=5 x=23
Step-by-step explanation:
it was very eazy
Let that unknown one be x
[tex]\\ \rm\rightarrowtail x^2=x(-x)+2[/tex]
[tex]\\ \rm\rightarrowtail x^2=-x^2+2[/tex]
[tex]\\ \rm\rightarrowtail 2x^2=2[/tex]
[tex]\\ \rm\rightarrowtail x^2=1[/tex]
[tex]\\ \rm\rightarrowtail x=1[/tex]
Raina's penny bank is 1/4 full. After she adds 360 pennies, it is 5/8 full. How many pennies can Raina's bank hold?
Answers
Answer:
960
Step-by-step explanation:
We start with the variable "x". Let's call "x" Raina's penny bank.
After adding 360 pennies, at the end, she has 5/8x, or 5/8.
So we start with
(1/4)x + 360 = 5/8x
Let's subtract 1/4x from both sides
360 = 5/8x - 1/4x
Remember, we need to use common denominators to subtract, so 1/4 becomes 2/8
360 = 5/8x - 2/8x
Now we simplify to get
360=3/8x
Multiply the reciprocal of 3/8 to both sides which is 8/3
360 * 8/3 = x
Answer is 960 pennies.
Therefore Raina's bank hold 960 pennies.
Answer:
we need to get the same number below to make it easier. so 1/4 will be equal to 2/8.
then she adds 360 pennies so it's 5/8 full.
therefore, the 360 pennies = 3/8 full
because 5/8 - 2/8 = 3/8.
now, we need to divide 360/3 so we can get how much pennies when it's 1/8 full.
360 pennies/3 = 120 pennies = 1/8 full.
now to get a full bank we just need to multiply 120 x 8 because 1/8 x 8 = 1 which means a full fraction.
120 pennies x 8 = 960 pennies.
Raina's bank can hold up to 960 pennies.
Make x the subject of the formula
1/x - 3/a = 5/b
Answers
Hope this helps
Solve. 1/3(x+3/5)=3
x=36/5
x=42/5
x=48/5
Answers
Answer:
x=42/5
Step-by-step explanation:
7. A value of n is substituted in each expression to get the number
in the box. Find each value of n.
a) 5n
30
b) 3n – 1 11
c) 4n + 7 15
d) 5n
11
e) 4 + on 40
f) 5 +1 5
---
Answers
Answer:
a. n=6
b. n = 4
c. n =2
d. n = 11 ÷ 5
e. n = 10
f. 20
Step-by-step explanation:
a. 5n = 30
n=30÷5
n=6
b. 3n-1 = 11
3n= 11 + 1
n = 12 ÷3
n=4
c. 4n + 7 = 15
4n = 15 - 7
n = 8 ÷ 4
n = 2
d. 5n = 11
n = 11 ÷ 5
e. 4 + n = 40
n = 40 - 4
n = 10
f. 5 + 15 = 20
Clare finds an expression for S(r) that gives the surface area in square inches of any cylindrical can with a specific fixed volume, in
terms of its radius r in centimeters. This is the graph Clare gets if she allows r to take on any value between 1.2 and 3.
Answers
The function that gives the surface area has the radius as a denominator.
The values r can take are; 0.1, 1, 2, and 3Reasons:
The given parameter are;
The expression Clare finds is the surface area for a fixed volume in terms of the radius, r, is S(r)
The function is used to plot the graph
The values r are allowed to take (obtained from a similar question are) = -1, 2, and 3
The graph of a similar function representing the surface area is attached;
[tex]\displaystyle S(r) = \mathbf{2 \cdot \pi \cdot r^2 + \frac{2 \cdot \pi }{r}}[/tex]
From the graph, it is observed that there is a vertical asymptote at x = 0 (infinite discontinuity)
Therefore, Claire should use the a domain that gives a continuous graph,
given that r is a denominator of the function, by allowing the radius, r to
take on only natural number values (values larger than 0)
The domain is therefore; 0 < r < ∞
The values r can take should therefore be 0.1, 1, 2, and 3
Learn more about asymptotes here:
https://brainly.com/question/17257427
For this exponential function, what is the output value (y), when the input value (x) is O? y = 5. 2x
Answers
Answer:
(0,. 5 )
Step-by-step explanation:
Substitute the input x = 0 into the function for output y
y = 5 × [tex]2^{0}[/tex] = 5 × 1 = 5 [ note [tex]a^{0}[/tex] = 1 ]
