i believe its √49.
Explanation:the square root of 49 is 7, and 7 is a rational number
What is the diameter of a circle with the equation (x – 4)2 + (y + 6)2 = 64?
a. 4
b. 8
c. 16
d. 64
Answer:
16Step-by-step explanation:
step one:
given data
we are given the equation of the circle as
[tex](x -4)2^ + (y + 6)^2 = 64[/tex]----------------1
We know that the general equation for a circle is
[tex]( x - h )^2 + ( y - k )^2 = r^2[/tex]--------------2
comparing the two equations above, we can immediately compare the term on the other side of the equality sign that is
r^2=64
square root both sides
r=√64
r=8
since the radius is 8, hence the diameter is
d=2
r= 2*8
=16
Answer:
C. 16
Step-by-step explanation:
Edge!
The vertex of a parabola that opens downward is at (0, 4). The vertex of a second parabola is at (0, –4). If the parabolas intersect at two points, which statement must be true?
Answer:
D
Step-by-step explanation:
Edge 2021 ;))
What is the solution of 3(x-1) - X = 3 + 2(x-3)?
Answer:
3(x-1) -X =3+ 2(x-3)
3x-3 -X = 3+2x-6
2x-3= 2x-3
2x-2x =-3+3
0=0
The Lopez Family meets with a financial planner who advises them to save 15% of their income per month for college savings for their children. They earn $8,540 per month. How much will the Lopez family save each month for future college expenses?
Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.
Answer:
$1281.00
Step-by-step explanation:
8540*15%=1281
if a+b=34 then what is 4a-8ba+9a
Answer:
12x:12x=1:
1 TRUE
Step-by-step explanation:
I NEED HELP PLEASE I WILL MARK!!!!
Answer:
_3/4/_2/3 the first one i hope u will mark me brai list
a line has a slope of 8 and a y intercept of 9 what is its equation in slope intercept form
Answer:
y= 8x +9
Step-by-step explanation:
Slope-intercept form:
y= mx +c, where m is the slope and c is the y-intercept.
Given that the slope is 8, m= 8.
Substitute m= 8 into the equation:
y= 8x +c
Given that the y-intercept is 9, c= 9.
Substitute c= 9 into the equation:
y= 8x +9
Thus, the equation of the line is y= 8x +9.
Please help
f(x)=1 - 2x g(x)= -x0 h(x)= x + 1
) Find the value of
(i) gf2),
Answer(a)(i)
[2]
Answer:
we get [tex]\mathbf{gf(2)=-\frac{1}{3}}[/tex]
Step-by-step explanation:
We are given:
[tex]f(x)=1-2x\\g(x)= \frac{1}{x}\\h(x)=x^3+1[/tex]
We need to find value of [tex]gf(2)[/tex]
[tex]gf(2)=g(f(2))[/tex]
First putting f(x) inside of g(x) and then putting x=2
[tex]gf(x)=g(f(x))\\gf(x)=\frac{1}{1-2x}[/tex]
Now putting x=2 to find [tex]gf(2)[/tex]
[tex]gf(x)=\frac{1}{1-2x}\\gf(2)=\frac{1}{1-2(2)}\\gf(2)=\frac{1}{1-4}\\gf(2)=\frac{1}{-3}\\gf(2)=-\frac{1}{3}[/tex]
So, we get [tex]\mathbf{gf(2)=-\frac{1}{3}}[/tex]
Solve for x
ax=b
This is for Algebra 1
Answer:
x=b-a
Step-by-step explanation:
subtract a on both sides
Solve similar triangles (advanced)
Answer:
x = 24Step-by-step explanation:
6 = x
8 x + 8
8x = 6x + 48
8x - 6x = 48
2x = 48
x = 48/2
x = 24
The value of x is 6.
What are similar triangles?Those triangles look the same but are different in size.
And in similar triangles,
the corresponding sides are in proportion to each other and the corresponding angles are equal to each other.
Given:
The triangle ABC and AED are similar triangles.
So,
the corresponding sides are in proportion of each other.
ED/CB = AD / AB
8/6 = 8/x
x = 6
Therefore, the value of x is 6.
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Damien graphed the following linear function on an (x, y) coordinate plane f(x) = 6x + 12.6 What is the x-intercept of the graph of this function?
Answer:
-2.1
Step-by-step explanation:
The y-intercept will be (0, 12.6) if Damien graphed the following linear function on an (x, y) coordinate plane f(x) = 6x + 12.6.
What is a function?
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
The linear function is:
f(x) = 6x + 12.6
To find the y-intercept plug x = 0
f(0) = 0 + 12.6
f(0) = 12.6
Thus, the y-intercept will be (0, 12.6) if Damien graphed the following linear function on an (x, y) coordinate plane f(x) = 6x + 12.6.
Learn more about the function here:
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PLZ!! HELP!!
Linear Functions!!
Answer:
I think the answer is liner
2 x ² + 16x+63 2x² +19x+a
Answer:
\557
Step-by-step explanation:
A college information pamphlet provides some statistics about the students and the professors to help high school seniors decide if they want to attend the college. The pamphlet lists the ratio of students to professors as 18 to 1. If there are 702 students at the college, how many professors are there?
Answer:
39
Step-by-step explanation:
Setting up your problem and solving:
In the question it says the ratio is students to professors right? So 18 to 1.
Write that down: Students to Professors is 18 to 1.
We know that there are 702 students in that college correct?
Write that down: 702 students in the college
We are trying to find how many professors there are so...let's do that.
Number 1:
Set your equation: have your fraction bar and equal sign like this: --- = ---
On the top, we have 1 so... 1/? = ?/?
On the other top we have the x...: 1/? = x/?
Why? Because we do not know the total of professors there are so that is X.
We put the number 1 on the other side because we know that there is only 1 out of 18 professors to students.
Number 2:
On the bottom, we will have 18...: 1/18 = x/?
On the other bottom we have 702...: 1/18 = x/702
Why? Because we know that there is a total number of 18 to 1 students on the ratio and a real total of 702 students.
Number 3.
Now you have your equation set up: 1/18 = x/702
The next step is yours: cross multiple, divide on the bottom or top or find the comparison.
I'm going to divide by the bottom okay? so.. 18/702
Set that up.
(702/18)
702/18 is 39!
SO in the end there is a total of 39 professors!
'x=39'
Hoped this helped! :)
10x - 5y + 2x - 3y
how do i do this
Answer:
12x-8y
Step-by-step explanation:
10x-5y+2x-3y
Step one is that you should align it= 10x+2x-3y-5y
The Second step is that now you should solve it=12x-8y
The third step is that there is no third step
Your answer is 12x-8y
What are the x-intercepts of the polynomial function
g(x) = (2x-8)(x+1)(9 – 3x)2 ?
(Hint: There should be three of them!)
Answer:
The x intercepts are x = 4, x = -1, and x = 3.
Step-by-step explanation:
[tex]g(x)=(2x-8)(x+1)(9-3x)^{2}\\(2x-8)(x+1)(9-3x)^{2}=0\\2x-8-0\\2x=9\\x=4\\x+1=0\\x=-1\\9-3x=0\\3x=9\\x=3\\[/tex]
If a television was 20% off and the amount of the discount was $200 what would the original price be?
Answer:
The original price of the television would be 1000$
Kenny wants to take his dog to obedience school. At sit and Stay School, 12
lessons cost $96. At Canine Community Center, 25 lessons cost $125. Which is
the better deal?
Dog Obedience Lessons
Location
Price
Sit and Stay School
$96/12 lessons
Canine Community Center
$125/25 lessons
Fill in the blanks to solve the problem.
304 QUESTIONS
The unit rate for lessons at Sit and Stay School is
$96 -96
12 lessons -12
$1
1 lesson
The unit rate for lessons at Canine Community Center is
Select
The lower unit rate is
Select
The lessons at
Select
are the better deal
SUBMIT
Answer: See explanation
Step-by-step explanation:
At sit and Stay School, 12 lessons cost $96. The unit rate for each lesson will be:
= $96/12 = $8
At Canine Community Center, 25 lessons cost $125. The unit rate will be:
= $125/25 = $5
The better deal is at Canine Community as it's cheaper.
The unit rate for lessons at Sit and Stay School is $8 per lesson
The unit rate for lessons at Canine Community Center is $5 per lesson
The lower unit rate is $5 which is that of Canine Community.
The lessons at Canine Community are the better deal.
What is 2/3 divided by 1/2 ?
A. 3/4
B. 4/3
C. 1/3
D. 1/4
Answer:
B. 4/3 is your answer dear.
Step-by-step explanation:
Solve
2/3 * 2/1
coz it is reciprocal .
you'll get 4/3
Hope you got it.
Which expression can be used to find the price of a $400 telescope after a 32% markup? Select all that apply.
A. 400 • 0.32
B. 400 • 3.2
C. 400 • 1.32
D. 400 + 400(0.32)
E. 400 • 400(1.32)
Answer:
Expressions C and D correctly determine the markup price.
Step-by-step explanation:
A markup in mathematics is when an object's price is raised by a certain percentage. Therefore, because we are told that the telescope is originally $400 and is marked up by 32%, we can actually mathematically evaluate this.
When you markup a price, you multiply the original price by [tex]1+x[/tex], where x is the percentage at which the object is marked up. However, x needs to be in decimal form for it to work out.
[tex]\frac{32}{100} = \small\boxed{0.32}[/tex]
Therefore, with this new decimal, we can add 1 to it.
[tex]1 + 0.32=\small\boxed{1.32}[/tex]
Finally, we multiply this result by the original price.
[tex]1.32 \times 400=\small\boxed{528}[/tex]
Therefore, we can already confirm that Expression C is one way to find the markup price.
We can eliminate expression A because it did not use the formula [tex]1+x[/tex]. It only uses the decimal form of the percentage.We can eliminate expression B because the division to convert from the percentage form to the decimal form is flawed (the expression divided by 10 instead of 100) and also forgot to add 1 to the determined value.Now, we can test the math for expressions D and E to see if either of these will equal $528.
Expression D is basically saying to add 32% of 400 to the original price. This would work out because we marked up the original price by 32%. Therefore, we can confirm that Expression D is also an expression that can be used to determine the markup price.
[tex]400 + 400(0.32)\\400(0.32) = 128\\400 + 128 = \small\boxed{528}[/tex]
Finally, we also need to check expression E. This expression is saying to add the already marked up price to 400. This would not be correct.
[tex]400 \times 400(1.32)\\400(1.32) = 528\\400 \times 528 = \small\boxed{\$ 211,200}[/tex]
Therefore, it has been determined that Expression C & Expression D are both equations that will find a markup price.
1. Anne wants to join five pieces of paper together. She plans to use 3 rectangular pieces of the same size and 2 square pieces of the same size. The length of each rectangular piece is 3 1/2 feet. The width of each rectangular piece, w, is the same as the length of each square piece. The expression below can be used to find the total surface area of the five pieces of paper. Anne decides that the width, w, of the rectangular pieces should be 2 feet. What is the total surface area, in square feet, of all five pieces of paper?
Answer and explanation:
Surface area of a rectangle = length * width
Surface area of a square = a² where a is length of a side
To find total surface area of the the five pieces of paper, we add up all the areas of all the shapes
Given that length of rectangle =3.5
And width = 2
Area of rectangle =3.5*2=7
Area of 3 rectangles given they are all equal = 7*3=21
Since width of rectangle equal to width of square and all sides of square are equal
Area of square = 2 *2 =4
Area of the two squares =4*2=8
Total surface area of the five plane shapes = 21+8= 29
what is the measure of <x
Answer:
x = 104°
Step-by-step explanation:
180-76=104
z = 104°
z and x are vertical from each other, therefore, z = x
Can some please help I’m stuck :(
Answer:
"I Only" is the correct answer
Step-by-step explanation:
Given inequality is:
-10>3x-6
In order to check which numbers are solution to the given inequality, we will put each number one by one in the inequality. If the inequality is true after putting the number, the number is the solution of the inequality.
So,
I . -10
Putting -10 in the inequality
[tex]-10>3x-6\\-10>3(-10)-6\\-10>-30-6\\-10> -36[/tex]
The inequality results in true after putting x=-10 so -10 is the solution of inequality.
II. 5
Putting 5 in the inequality
[tex]-10>3x-6\\-10>3(5)-6\\-10>15-6\\-10>9[/tex]
The equality doesn't hold true for x=5 so 5 is not the solution of the problem.
III. -1
Putting -1 in the equation
[tex]-10>3x-6\\-10>3(-1)-6\\-10>-3-6\\-10>-9[/tex]
Inequality doesn't hold true for x=-1 so it is not the solution of the inequality.
Hence,
"I Only" is the correct answer as only -10 is the solution of inequality.
Match the term with the definition. (5 points) Column A 1. Line : Line 2. Line Segment : Line Segment 3. Ray : Ray 4. Point : Point 5. Vertex : Vertex Column B a. a location, has no dimension b. the common endpoint of two segments or rays that form the "corner" of an angle c. an infinite number of points extending in opposite directions that has only one dimension d. part of a line that has two endpoints e. part of a line that has one endpoint and continues in one direction infinitely
Answer:
a. Point.
b. Vertex.
c. Line.
d. Line segment.
e. Ray.
Step-by-step explanation:
a. Point: a location, has no dimension. Also, a point doesn't have a size i.e no length, depth, breadth or height.
b. Vertex: is the common endpoint of two segments or rays that form the "corner" of an angle.
c. Line: is an infinite number of points extending in opposite directions that has only one dimension.
d. Line segment: is part of a line that has two endpoints.
e. Ray: is part of a line that has one endpoint and continues in one direction infinitely.
find f((1)/(3)) if f(n)=3n
Answer:
1Step-by-step explanation:
Given
f(n) = 3nTo find
f(1/3) =?Substitute n with 1/3 and calculate
f(1/3) = 3*1/3 = 1Answer: The answer is 1 sweetie
Step-by-step explanation: Given
f(n) = 3n
To find
f(1/3) =?
Substitute n with 1/3 and calculate
f(1/3) = 3*1/3 = 1
Plzzzzzzzzzzz help im dumb
Answer:
C I did the test sorry if im wrong
Step-by-step explanation:
<3 Goodluck
7 + 5x = 2x + 25
step by step pls:(
Answer:
x = 6
Step-by-step explanation:
7 + 5x = 2x + 25
first subtract 7 from both sides to isolate 5x on the left
5x = 2x + 18
then subtract 2x from both sides to isolate all of the x terms to one side
3x = 18
then divide 18 by 3 to solve for x
x = 6
hope this helped!! :)
Answer:
i got you, i wrote it out and all gimme brilliantness
Step-by-step explanation:
Uncle Silas weighs 204.6 pounds, and
Aunt Cora weighs 139.65 pounds. How
much more does Uncle Silas weigh than
Aunt Cora?
please tell me the answer
Answer:
It shifts leftI hope this helps you with your algebra
tim bought 3 hat for 120/-. how much can he buy from 180/-
ASAP plz
Answer: 16
Step-by-step explanation:
Tim can buy 4 caps and will left with Rs.20 to spare
What is the unitary method?The unitary method is a method in which you find the value of a unit and then the value of a required number of units.
Given here tim can buy 3 hats from Rs.120 thus each hat cost Rs.40
Thus price of 4 hats is Rs.160 and he will be left with Rs.20 to spare.
Hence, Tim can buy 4 caps and will left with Rs.20 to spare
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