Answer:
12
Step-by-step explanation:
Pythag Theorem is Leg² + Leg²= Hypotenuse²
So I set it up as: x² + 9²=15²
Then solved and got: x² + 81 =225
Then I subtracted 81 on both sides and got: x² = 144
Then squareroot each side to undo the x² and got x=12
Which of the following systems has an infinite number of solutions?
A. x+y=1 and x−y=1
B. x+y=1 and x+y=−1
C. x+y=1 and −x−y=−1
D. x+y=1 and x+y=2
Answer:
C. x+y = 1 and -x-y = -1
Step-by-step explanation:
Remember that if a system of equations has an infinite number of solutions, then the resulting equation from using the first step of the elimination method would have no variables and would be true.
1) Let's try canceling out the equations in option C, x+y =-1 and -x-y =-1. Add the two equations together. (Work shown in attached picture.)
2) All of the terms cancel out with each other, leaving only a true statement of 0 = 0. Thus, option C is the answer.
1 + 1 + 23 + 77 +109 + 4568+ 32?
Answer:
4811?
Step-by-step explanation:
sorry if incorrect
Find the missing side length of the triangle 10m 7.5m
Answer:
c = 12.5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
a is a leg b is another leg c is the hypotenuseStep-by-step explanation:
Step 1: Identify
Leg a = 7.5
Leg b = 10
Hypotenuse c = c
Step 2: Solve for c
Substitute in variables [Pythagorean Theorem]: 7.5² + 10² = c²Rewrite: c² = 7.5² + 10²Evaluate exponents: c² = 56.25 + 100Add: c² = 156.25[Equality Property] Square root both sides: c = 12.5Line A has a slope of -4/3. Line B is perpendicular to Line A. What is the slope of Line B?
Answer:
The answer is 3/4
Step-by-step explanation:
If two lines in perpendicular, then the slope has a relation as slope1 * slope2 = -1. Then if line 1 has slope -4/3 then -4/3 * x = -1, then x = 3/4 which is the slope for the second line.
A. 78
B. 87.5
C. 100
please answer will give brainliest!!!!!!!
Answer: 100
Mode is simply the number which appears most often.
100 is the only number that appears more than once
find the GCF 40,50,60
Answer:
10
Step-by-step explanation:
Sum of 2 numbers is 36. The larger is 3 more than twice the
smaller number, Find the smaller number below.
Answer:
11
Step-by-step explanation:
so we just make a system of equations:
x+y=36
say that x is the larger and y is the smaller
x-3=2y
so we can combine the equations and solve for x and y
re-arrange x-3=2y to be x=2y+3
x+y=36
x=2y+3
insert the value for x into x into x+y=36
2y+3+y=36
3y+3=36
y=11
now insert that back into x+y=36
11+x=36
x=25
Out of the two numbers x and y, 11 is the smaller number
Hope that helps :)
True or False. To convert 5 yards to inches, you would multiply 5 by 12.
In the coordinate plane, what is the distance between (-2, 5) and (8, 5) ?
Solve for 2.
Your answer must be simplified.
x + 5<-4
Amr sells 6 pounds of turkey for $ 48.75. What is the unit price ?
Answer:
the unit price would be 8.125
Step-by-step explanation:
Suppose that a survey was taken of 320 people and each person was asked if they approved or disapproved of the president's actions during the government shutdown. One hundred eighty people said that they approved. Which of the following statements correctly describes how the confidence interval for the population proportion of people that approved the President's actions during the government shutdown?
A) There are not 15 successes and 15 failures. A confidence interval can be computed by adding 2 successes and 2 failures.
B) There are not 15 successes and 15 failures. A confidence interval can be computed by adding 4 successes and 5 failures.
C) There are not 15 successes and 15 failures. A confidence interval can not be done.
D) There are at least 15 successes and 15 failures. A large sample confidence interval for the population proportion can be computed (phat +/- z * sqrt(p*(1-p)/n) with no additional values added.
Answer: I believe it’s C
Step-by-step explanation: I hope i’m right
Which ones are correct?
Answer:
120 x 10^3
7 x 10^5
9 x 10^4
Step-by-step explanation:
plz help find the volume of the cylinder plz
Answer:
V = 12π in³
General Formulas and Concepts:
Symbols
π (pi) ≈ 3.14Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Volume of a Cylinder Formula: [tex]\displaystyle V = \pi r^2h[/tex]
r is radiush is heightStep-by-step explanation:
Step 1: Define
Radius r = 2 in
Height h = 3 in
Step 2: Find Volume
Substitute in variables [Volume of a Cylinder Formula]: V = π(2 in)²(3 in)[Volume] Evaluate exponents: V = π(4 in²)(3 in)[Volume] Multiply: V = π(12 in³)[Volume] Multiply: V = 12π in³
State whether the following statements are true or false. Write the correct statements, if they are
wrong
(i) Each angle of a square is a right angle.
(1) All the sides of a parallelogram are of equal length.
(iii) The diagonals of a rectangle are perpendicular to one another.
CAN ANYONE SAY THE ANSWER PLSSSSSSSSSSSSSSSSSSS
Morgan made bracelets at the costs listed below.
bracelets
cost
2
$14.96
5
$37.40
9
$67.32
What equation could be used to find the amount of money it costs, C, for any number of bracelets made, b?
Answer:
14.96(x) +37.40x+ 67.32x= total cost.
Step-by-step explanation:
What is the value of (f-g)(7)?
f(x)=2+x;g(x)=x^2+5
(f-g)(7)=[1]
Answer:
Alright so on this type of problem you just perform the operation they ask for, which in this case is subtraction.
Your first step will be to set up the problem:
f(x) - g(x)
Next you will substitute in your values:
(2x + 1) - (x2 - 7)
The easiest way to do the subtraction problems is to distribute your negative into your second set of parenthesis, so your expression would become:
2x + 1 - x2 + 7
Then combine your like terms:
2x - x2 + 8
Lastly put your expression in standard form (highest exponent to lowest)
-x2 + 2x + 8
Hope this helped!
Step-by-step explanation:
Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. Illustrate by graphing both the curve and the tangent line on a common screen. x=t, y=e^-t, z=2t-t^2; (0, 1, 0)
Answer:
[tex]x = t[/tex]
[tex]y = 1 - t[/tex]
[tex]z = 2t[/tex]
Step-by-step explanation:
Given
[tex]x=t[/tex]
[tex]y=e^{-t}[/tex]
[tex]z=2t-t^2[/tex]
(0, 1, 0)
The vector equation is given as:
[tex]r(t) = (x,y,z)[/tex]
Substitute values for x, y and z
[tex]r(t) = (t,\ e^{-t},\ 2t - t^2)[/tex]
Differentiate:
[tex]r'(t) = (1,\ -e^{-t},\ 2 - 2t)[/tex]
The parametric value that corresponds to (0, 1, 0) is:
[tex]t = 0[/tex]
Substitute 0 for t in r'(t)
[tex]r'(t) = (1,\ -e^{-t},\ 2 - 2t)[/tex]
[tex]r'(0) = (1,\ -e^{-0},\ 2 - 2*0)[/tex]
[tex]r'(0) = (1,\ -1,\ 2 - 0)[/tex]
[tex]r'(0) = (1,\ -1,\ 2)[/tex]
The tangent line passes through (0, 1, 0) and the tangent line is parallel to r'(0)
It should be noted that:
The equation of a line through position vector a and parallel to vector v is given as:
[tex]r(t) = a + tv[/tex]
Such that:
[tex]a = (0,1,0)[/tex] and [tex]v = r'(0) = (1,-1,2)[/tex]
The equation becomes:
[tex]r(t) = (0,1,0) + t(1,-1,2)[/tex]
[tex]r(t) = (0,1,0) + (t,-t,2t)[/tex]
[tex]r(t) = (0+t,1-t,0+2t)[/tex]
[tex]r(t) = (t,1-t,2t)[/tex]
By comparison:
[tex]r(t) = (x,y,z)[/tex] and [tex]r(t) = (t,1-t,2t)[/tex]
The parametric equations for the tangent line are:
[tex]x = t[/tex]
[tex]y = 1 - t[/tex]
[tex]z = 2t[/tex]
The slope of the line that passes through the point (2,4) and (3,8) is
Hi! Your answer is m = 4 or slope is 4.
Make sure to read an explanation for a better and clear understanding to your problem.
Any questions about my answer and explanation can be asked through comments! :)
Step-by-step explanation:
To find a slope of a line with given two coordinate points, we can do by using rise over run or slope formula which is:
[tex]\large\boxed{m=\frac{y_2-y_1}{x_2-x_1}}[/tex]
The boxed formula is the slope formula. The changes of y over the changes of x. This can be called "rate of change".
From (2,4) and (3,8). We substitute the given coordinate points in the formula.
[tex]\huge{m=\frac{8-4}{3-2}}\\\huge{m=\frac{4}{1}}\\\huge{m=4}[/tex]
Hence, the slope is 4.
Additional Note
m-term comes from y = mx+b where m is defined as slope in slope-intercept form. Therefore, m = slope.Hope this helps!
8 inches is which fraction of 1 yard?
Answer:
8/36 yard or 2/9
Step-by-step explanation:
How do i solve for x if (x+1)/(x+1)= 1/2?
Answer:
x= -1
Step-by-step explanation:
Given data
We have the expression as
(x+1)/(x+1)= 1/2
let us first cross multiply
2(x+1)=(x+1)
2x+2=x+1
collect like terms
2x-x=1-2
x= -1
Hence the value of x=-1
Sam purchased 2 pairs of sneakers for $225 in
total. His father receives a military discount of
23%. How much were the price of the sneakers
after the discount?
Once the discount was deducted they added 7%
in sales tax. What was the final cost for the
sneakers?
help pleaseeee giving 100 points
Answer:
173.25
173.25+7=
$180.25
Step-by-step explanation:
Answer:
$185.38 i beileve. I took the discount out then added the tax
A small rectangular tray measures 16 cm by 18 cm. How long is the diagonal?
Answer:
24.1cm
Step-by-step explanation:
Can anyone help to answer my previous questions?
Step-by-step explanation:
Umm I can try. c:
I'll see....
can someone help me with this simple 8th grade worksheet
Please really need help on this please
Answer:
22222.#2345/(87559grudj
15 is ___% of 60 HELP YALL
Answer:
25
Step-by-step explanation:
Answer:25%
Step-by-step explanation:
A new microwave costs $126.99 at Walmart. How much sales tax would
you pay if the tax rate is 7%?*
$135.88
$8.89
$135.87
$8.88
Answer:
135.87
Step-by-step explanation:
7% of 126.99 is 8.8893
add 126.99 to 8.8893
you get ~135.87
Answer:
8.89
Step-by-step explanation:
Take the cost of the item times the tax rate to find the amount of tax
126.99 * 7%
Change to decimal form
126.99 * .07
8.8893
Round to the nearest cent
8.89
In a survey of 3417 adults aged 57 through 85 years, it was found that 80.3% of them used at least one prescription medication. C
a. How many of the 3417 subjects used at least one prescription medication?
Answer:
2743.851 adults aged 57 through 85 years used at least one prescription medication.
Step-by-step explanation:
I did this on a calculator so yeah...
Imagine pls helpppppppp!!!!!!
Answer:
169,000
Step-by-step explanation:
Answer:
Step-by-step explanation:
This is exponential growth of form
y=ar^x where y is final amount, a=initial amount, r=common ratio or rate and x=time
y=130000(1.03^10)
y=174709