so we know the point E is on the circle, thus the distance NE is really the radius of the circle hmmm what would that be?
[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ N(\stackrel{x_1}{-6}~,~\stackrel{y_1}{-2})\qquad E(\stackrel{x_2}{-1}~,~\stackrel{y_2}{1})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{radius}{r}=\sqrt{[-1-(-6)]^2+[1-(-2)]^2}\implies r=\sqrt{(-1+6)^2+(1+2)^2} \\\\\\ r=\sqrt{5^2+3^2}\implies r=\sqrt{34}\implies r\approx 5.83 \\\\[-0.35em] ~\dotfill[/tex]
[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ N(\stackrel{x_1}{-6}~,~\stackrel{y_1}{-2})\qquad H(\stackrel{x_2}{-10}~,~\stackrel{y_2}{-7})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ NH=\sqrt{[-10-(-6)]^2+[-7-(-2)]^2} \\\\\\ NH=\sqrt{(-10+6)^2+(-7+2)^2}\implies NH=\sqrt{(-4)^2+(-5)^2} \\\\\\ NH=\sqrt{41}\implies NH\approx 6.4\impliedby \begin{array}{llll} \textit{units away from the center}\\ \textit{is outside the circle} \end{array}[/tex]
recall the radius is about 5.83, anything shorter than that is inside the circle, anything longer than that is outside it.
Answer:
outside the circle
Step-by-step explanation:
trust me. i did it on khan academy
use the system of equations and graphs below to complete the sentences
Answer:
Graph C; (2, 1)
Step-by-step explanation:
When equations are in standard form, finding the x- and y-intercepts is relatively easy. For ...
ax +by = c
x-intercept: c/ay-intercept: c/bUsing this idea on the first equation, we find its x-intercept to be -2. There is only one graph showing that has a line going through the point (-2, 0). That is Graph C. Checking the remaining intercepts for the two equations confirms that Graph C is the graph of this system of equations.
The two lines intersect at point (2, 1), so that is the solution to the system.
The correct graph is: Graph C
and the solution for this system is: (2,1)
Step-by-step explanation:The first equation is given by:
[tex]x-4y=-2-------(1)[/tex]
and the second equation is given by:
[tex]-2x-y=-5----------(2)[/tex]
from (1) we have:
[tex]x=-2+4y-------------(3)[/tex]
We put the value of x in equation (2) to get:
[tex]-2(-2+4y)-y=-5\\\\i.e.\\\\-2\times (-2)-2\times 4y-y=-5\\\\i.e.\\\\4-8y-y=-5\\\\i.e.\\\\4-9y=-5\\\\i.e.\\\\-9y=-5-4\\\\i.e.\\\\-9y=-9\\\\i.e.\\\\y=1[/tex]
Now on putting this value of y back to equation (3) we get:
[tex]x=-2+4\times 1\\\\x=-2+4\\\\x=2[/tex]
Hence, the solution to this system of equality is: (2,1)
Identify the interval that is not equal to the other three 15-19 30-34 40-45 45-49
Answer:
45-40
Step-by-step explanation:
The first interval is 15-19.
The width of this interval is: 19-15=4
The second interval is 30-34.
The width of this interval is: 34-30=4
The third interval is 40-45.
The width of this interval is: 45-40=5
The fourth interval is 45-49.
The width of this interval is: 49-45=4
Therefore the interval that is not equal to the other three is 45-40Mr.Fraser asked four students in his class to find the greatest common factor of 24 and 36. Donte answered 2,Annika answered 3,Noelia answered 6,and Scott answered 12. Which student answered correctly?
Answer:scott
Step-by-step explanation:
I’m pretty sure Scott. Hope this helps!!!
Could the lengths 18 in., 80 in., and 82 in. be the side lengths of a right triangle?
Answer:
yes
Step-by-step explanation:
The formula to finding the hypotenuse of a right triangle is a^2+b^2=c^2. So since the longest side is the hypotenuse, the 82 in. is the hypotenuse. 18^2+80^2= 6724, then we square root it, square root of 6725 is 82.
Answer:
This is a right triangle
Step-by-step explanation:
We can check this using the Pythagorean theorem
a^2 +b^2 = c^2
where a and b are the legs and c is the hypotenuse
18^2 + 80^2 = 82^2
324+6400=6724
6724 = 6724
True, so this is a right triangle
the first thats do 2 will get brainlist
Answer:
6
Step-by-step explanation:
Find the value of x. Round to the nearest tenth.
PLEASE HELP ME!!
Answer:
x = 4.1 cmStep-by-step explanation:
Use the Pythagorean theorem:
[tex]leg^2+leg^2=hypotenuse^2[/tex]
We have
[tex]leg=x,\ leg=15.6cm:2=7.8cm,\ hypotenuse=8.8cm[/tex]
Substitute:
[tex]x^2+7.8^2=8.8^2[/tex]
[tex]x^2+60.84=77.44[/tex] subtract 60.84 from both sides
[tex]x^2=16.6\to x=\sqrt{16.6}\\\\x\approx4.1\ cm[/tex]
The table of values represents the function g(x) and the graph shows the function f(x).
The answer is:
The first and second options:
f(x) and g(x) intersect at exactly two points.
The x-intercepts of f(x) are common to g(x)
Why?To find the correct option (or options) , we need to remember the following:
- When a function intercepts the y-axis, it means that the "x" coordinate will be equal to 0.
- When a function intercepts the x-axis, it means that the "y" coordinate will be equal to 0.
Now, to find the correct option, we also need to compare the graphed function (f(x)) to the given table (g(x)).
So, discarding each of the given options to find the correct option, we have:
- First option, f(x) and g(x) intersect at exactly two points: True.
From the graph we can see that f(x) intercepts the x-axis at two points (-1,0) and (1,0), also, from the table we can see that g(x) intercepts the x-axis at the same two points (-1,0) and (1,0), it means that the functions intersect at exactly two points.
Hence, we have that f(x) and g(x) intersect at exactly two points.
- Second option, the x-intercepts of f(x) are common to g(x): True.
From the graph we can see that f(x) intercepts the x-axis at two points (-1,0) and (1,0), also, from the table we can see that g(x) intercepts the x-axis at the same two points (-1,0) and (1,0), so, both functions intercepts the x-axis at common points.
Hence,we have that the x-intercepts of f(x) are common to g(x)
- Third option, he minimum value of f(x) is less than the minimum value of g(x): False.
From the graph, we can see that the minimum value of f(x) is located at the point (0,-1), also, from the given table for g(x) we can see that there are values below the point (2,-3), meaning that the minimum value of f(x) is NOT less than the minimum value of g(x).
Hence, we have that the minimum value of f(x) is NOT less than the minimum value of g(x).
- Fourth option, f(x) and g(x) have the same y-intercept: False.
We can see that for the function f(x) the y-intercept is located at (0,-1) while from the given table, we can see the y-intercept for the function g(x) is located at (0,1)
Hence, we have that f(x) and g(x) have differents y-intercepts.
Therefore, the correct answers are:
The first and second options:
f(x) and g(x) intersect at exactly two points.
The x-intercepts of f(x) are common to g(x)
Have a nice day!
Note: I have attached an image for better understanding.
The graph of f(x) overlaps with the graph of g(x). Then the correct option is A.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function.
The table of values represents the function g(x) and the graph shows the function f(x).
The graph of f(x) overlaps with the graph of g(x).
Then the correct option is A.
More about the function link is given below.
https://brainly.com/question/5245372
#SPJ5
Please help. I am a little torn with this one
Answer:
A.
Rotational symmetry is when things look the same rotated.
Answer:
A
Step-by-step explanation:
It has buttons which are on the top but not on the other faces
10 Points! Drag each value or expression to the correct location on the equations and sentences. Each value and expression can be used more than once, but not all values and expressions will be used.
Gary works at a bakery, and he needs to select a rectangular cookie sheet with an area of 192 square inches. The area of the cookie sheet is represented by the expression given below.
[tex]x^{2} + 4x[/tex]
Complete the given statements, and find the width of the cookie sheet.
The answers are:
Second step:
First box, 4
Second box,
The width is:
[tex]x+4[/tex]
Fourth step:
Box, 16
The length cant be -16in, the length is 12in, and the width is 16in.
Why?To solve the problem, we are using the formula to calculate the area of a rectangle, however, since the dimensions of the rectangle are not constant numbers, we will work with the variable "x", also, we know that the area of the cookie sheet is equal to 192 square inches.
So, solving we have:
First step:
We have the expression:
[tex]x^{2} +x[/tex]
Which is equal to: [tex]192in^{2}[/tex]
So,
[tex]x^{2} +4x=492[/tex]
Second step:
We have that the common factor of the left side of the equation is "x", so, we can simplify the expression in the following way:
[tex]x(x+4)=492[/tex]
Now, using the formula to calculate the area of a rectangle, we have:
[tex]length*width=Area\\\\length*width=92in^{2}\\\\x(x+4)=192in^{2}[/tex]
Where,
The length of the rectangle is "x"
The width of the rectangle is "x+4"
Third step:
Rewriting the expression, we have:
[tex]x^{2} +4x-192=0[/tex]
We need to find the roots (zeroes) of the quadratic function, in order to find the width of the rectangle without using the variable "x".
So, finding the values of "x" (roots or zeroes of the expression), we have:
[tex]x^{2} +4x-192=0[/tex]
Fourth step:
We need to find two numbers which it product gives as result the number -192 (including its sign) and their algebraic sum gives as result "4", those numbers are, -12 and 16,
[tex]-12*(16)=-192\\-12+16=4[/tex]
Then, rewriting the equation, we have:
[tex](x+16)(x-12)=0[/tex]
So, we that the expression is equal to 0 for two values of "x", these values are:
[tex]x_1=-16\\x_2=12[/tex]
Now, since the length can't be -16in, its equal to 12in.
[tex]length=x=12in[/tex]
[tex]length=12[/tex]
Then, from the second equation, we have that:
[tex]width=x+4[/tex]
Substituting "x" we can find the value of the width, so:
[tex]width=x+4=\\\\width=12+4=16in[/tex]
Hence, we have:
[tex]length=12in\\width=16in[/tex]
Have a nice day!
Use a net to find the surface area of the prism please help
Finding rectangle surface areas(RSA) are: 2(14×7)+2(14×5)=336
R.S.A+side surface areas: 336+2(7×5)=406
Ans:406
To find the surface area of a prism using a net, you simply calculate the area of each individual shape in the net and then add those areas together. The sum of these areas is the prism's surface area.
Explanation:To find the surface area of the prism using a net, you need to first understand what a net of a prism is. A net of a prism is essentially a 'flat' version of the shape. It's what you would get if you cut along the edges of the prism and flattened it out.
For a rectangular prism, for instance, the net would consist of 2 rectangles (the bases) and 3 or 4 rectangles (the sides), depending on whether the prism is a right prism or an oblique prism.
To find the surface area, calculate the area of each individual shape in the net and then add all those areas together. The sum of these areas is the surface area of the prism.
As an example, suppose we have a rectangular prism with length 4 cm, width 3 cm, and height 2 cm. The areas of the two bases are each 4*3=12 square cm. The areas of the four sides are two of 4*2=8 square cm and two of 3*2=6 square cm. So the total surface area is 2*12+2*8+2*6=48 square cm.
Learn more about Surface Area here:https://brainly.com/question/35439753
#SPJ2
4-2(6x-5)=-4 solve for x
Answer:
[tex]\boxed{ x = \frac{3}{2}}[/tex]
Step-by-step explanation:
[tex]\begin{array}{rcll}4 - 2(6x - 5) & = & -4 &\\- 2(6x - 5) & = & -8 &\text{Subtracted 4 from each side}\\6x - 5 & = & 4 &\text{Divided each side by -2}\\6x & = & 9 &\text{Added 5 to each side}\\x & = &\mathbf{\frac{3}{2}} &\text{Divided each side by 6}\end{array}[/tex]
Check:
[tex]\begin{array}{rlc}4 - 2(6\times\frac{3}{2} - 5)& = &-4\\4 - 2(9 - 5) & = & -4\\4 - 2\times4 & = & -4\\4 - 8 & = & -4\\-4 & = & -4\\\end{array}[/tex]
Answer:
[tex]\large\boxed{x=\dfrac{3}{2}}[/tex]
Step-by-step explanation:
[tex]4-2(6x-5)=-4\qquad\text{subtract 4 from both sides}\\\\-2(6x-5)=-8\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\(-2)(6x)+(-2)(-5)=-8\\\\-12x+10=-8\qquad\text{subtract 10 from both sides}\\\\-12x=-18\qquad\text{divide both sides by (-12)}\\\\x=\dfrac{-18\!\!\!\!\!\diagup^3}{-12\!\!\!\!\!\diagup_2}\\\\x=\dfrac{3}{2}[/tex]
in 18 days, 20 workers can build a school. How many days would it take if there were only 12 workers?
To build a school;
20 workers -> 18 days.
So 1 worker -> 18/20 days.
So; 12 workers -> (12×18)/20 days.
-> (12×9)/10 days
->10.8 days.
so 10.8 days is your answer.
Hope it helps...
Regards;
Leukonov/Olegion
If 20 workers can build a school in 18 days, how many days will it take 12 workers to build the same school?
☯ Explanation -:In this question we are provided that 20 workers can build a school in 18 days. We are asked to calculate how many days will 12 workers will take to do the same work.
We can solve this question using two methods :
Unitary MethodMethod of proportion[tex] \small\bf{ Unitary \: Method}[/tex]
20 workers can build a school in 18 days
1 worker can build a school in 20 × 18 days
12 workers can build a school in [tex]\dfrac{20 × 18 }{12}[/tex] = 30 days.
Hence the required number of days is 30.[tex] {{\rule{40mm}{4pt}}}[/tex]
[tex] \small\bf{ Method \: of \: proportion }[/tex]
Let us assume that 12 workers can finish the work in x days.
[tex]\begin{array}{c|c} \bf{Number \: of \: workers }& \bf{Number \: of \: days}\\ 20 & 18 \\ 12 & x\end{array}[/tex]
Ratio of workers = Inverse ratio of days
[tex] \small\sf{ 20 : 12 :: x : 18}[/tex]
Product of mean = Product of extreme
[tex] \small\rm{ 12 \times x = 20 \times 18}[/tex]
[tex] \small \rm{ \dfrac{20 \times 18}{12} = 30 \: days}[/tex]
Hence the required number of days is 30.[tex] \rule{72mm}{5pt}[/tex]
need help fast!!!!!!!!!!!!!!!
k(3)=13(3)-2
k(3)= 39-2
Answer is k(3)= 37
ANSWER
[tex]k(3) = 37[/tex]
EXPLANATION
The given expression is
[tex]k(t) = 13t - 2[/tex]
We want to find k(3).
We substitute t=3 into the expression to get:
[tex]k(3) = 13(3) - 2[/tex]
We multiply out to get,
[tex]k(3) = 39- 2[/tex]
Simplify to get,
[tex]k(3) = 37[/tex]
Calculate Medicare tax (1.45% of gross pay
Gross Pay: $576.00
Answer: $8.35
Step-by-step explanation:
Given: The amount as gross pay= $576.00
The rate of Medicare tax =1.45% = 0.0145
Now, to calculate the medicare tax we need to multiply the rate of Medicare tax with the gross pay , we get
[tex]\text{Medicare tax=0.0145*Gross Pay}\\\\\Rightarrow\ \text{Medicare tax}=0.0145\times576.00\\\\\Rightarrow\ \text{Medicare tax}=\$8.352\approx\$8.35[/tex]
This seems complicated please help me !!!!!!!
Answer:
The second answer is correct.
Step-by-step explanation:
If BP PC, what is m BC?
60
90
180
Answer:
90
Step-by-step explanation:
BP PERPENDICULAR 2 PC SO
BC=90
Answer: 90
Step-by-step explanation:
Given: A circle with center P and B and C are two points on circle such that
BP is perpendicular to PC, it gives [tex]\angle{BPC}=90^{\circ}[/tex]
We know that in a circle, the degree measure of an arc is equal to the measure of the central angle that intercepts the arc.
Therefore, the measure of [tex]\overarc{BC}[/tex]= Central angle made by [tex]\overarc{BC}[/tex].
⇒ the measure of [tex]\overarc{BC}=90^{\circ}[/tex]
Ava bought a rectangular rug for her hallway. The rug is 23 yards wide and 234 yards long.
What is the area of the rug as a mixed number in simplest form?
Enter your answer in the box.
I really need help ASAP
Answer:
1 5/6
Step-by-step explanation:
What is the value of x?
Please answer ASAP
Answer:
x = 5
Step-by-step explanation:
You have a right triangle, so you can use the Pythagorean Theorem.
a^2 + b^2 = c^2
x^2 + 12^2 = 13^2
x^2 + 144 = 169
x^2 = 25
x = 5
Answer: x = 5
Answer:
just do 13 time 12
Step-by-step explanation:
Use the Distributive Property to write each expression as an equivalent expression. Then evaluate it.
(5 +1)3
Distributive property means that you must multiply the number directly outside the parentheses to all the numbers inside the parentheses
Look at the image below for the work!
Hope this helped!
Using the Distributive Property to expand and evaluate an expression.
Given expression: (5 + 1)3
Step 1: Apply the Distributive Property to expand the expression: (5 + 1)3 = 5 x 3 + 1 x 3
Step 2: Evaluate the expression: (5 + 1)3 = 15 + 3 = 18
What is the slope-intercept form for the equation of the line passing through (-3,4) and having a slope of 5/6?
Begin answer with y=
I'd like to figure out how to do the answers following this one by myself so if you can, please explain?
[tex]\bf (\stackrel{x_1}{-3}~,~\stackrel{y_1}{4})~\hspace{10em} slope = m\implies \cfrac{5}{6} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-4=\cfrac{5}{6}[x-(-3)]\implies y-4=\cfrac{5}{6}(x+3) \\\\\\ y-4=\cfrac{5}{6}x+\cfrac{5}{2}\implies y=\cfrac{5}{6}x+\cfrac{5}{2}+4\implies y=\cfrac{5}{6}x+\stackrel{\textit{LCD of 2}}{\cfrac{(1)5+(2)4}{2}}[/tex]
[tex]\bf y=\cfrac{5}{6}x+\cfrac{13}{2}\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
Item Prompt
Segment MP is a diameter of circle O.
150°
What is the measure of arc MN?
B
I
U
S
x, x
=:
.
Answer:
30°
Step-by-step explanation:
Segment MP is the diameter of the circle, hence angle MOP has the measure of 180°.
Angles MON and NOP are supplementary angles (add up to 180°). Thus,
m∠MON+m∠NOP=180°
m∠MON=180°-m∠NOP
m∠MON=180°-150°=30°.
Angle MON is the central angle subtended on the arc MN. Thus, the measure of the arc MN is 30°.
Answer:
Arc MN is 30°Step-by-step explanation:
It's important to know that the whole arc of a circle is 360°.
So, if MP is a diameter, that means it divides the circle in two equal parts of 180° each.
Now, one half of this arc is formed by MN and 150°, so we can formulate the expression
[tex]MN+150\° = 180\° \\MN= 30\°[/tex]
Therefore, the arc MN is 30°.
What’s the answer ?
Answer:
10
Step-by-step explanation:
Answer:
Slope = 0
Step-by-step explanation:
(y2 - y1) ÷ (x2 - x1) = (-3 - [-3]) ÷ (1 - [-9]) = 0 ÷ 10 = 0
What are the excluded values?
x-7 / x+9 ( /) represents the line between a fraction in case u didn't know
a. x=7
b.x=9
c.x=-9
d. none of the above
Answer:
c. x = -9.
Step-by-step explanation:
The excluded value is the value of x which gives a value of 0 to the denominator, so that value would be x = -9.
Note: (x - 7) / 0 is undefined.
Which two values are solutions to the inequality r ≤ 5?
Answer:
Step-by-step explanation:The solution is x > 3
What would the answer for this question be
Answer:
A
Step-by-step explanation:
The only one you can eliminate on sight is C. You are going to get an x^3 somewhere along the line.
You can eliminate D on sight as well. The x^3 term is 12x^3 not 7x^3
Doesn't leave much does it?
(3x + 2)(4x^2 - 2x - 7)
3x: 12x^3 - 6x^2 - 21x
2 : 8x^2 - 4x - 14
======================= Add
12x^3 + 2x^2 - 25x - 14
Answer: A
[tex](3x + 2)(4x^{2} - 2x - 7) \\ \: a. = 12 {x}^{3}+ 2x^{2} - 25x - 14[/tex]
If m=3 = what is the value of 3m?
Answer: 9
Step-by-step explanation:
M=3 and the equation is 3m so your going to multiply. So the equation would be 3*3 and 3*3=9 so that's your answer
What is the equation of the line?
y=0 because no matter what x value you have, y will always be 0
Y=0 because the y-axis of the line is 0
Joyce wants to buy a house for 129,500 with a 20% down payment. How much will her down payment be?
Answer: 29,500.
Step-by-step explanation: percentagecalculator.com
HELPPPPPPPPP PLZ ASAP 50. SHOW ALL WORK if not your answer will be deleted.
A set of equations is given below: Equation C: y = 6x + 9 Equation D: y = 6x + 2 How many solutions are there to the given set of equations? One solution No solution Two solutions Infinitely many solutions
Answer:
[tex]\large\boxed{\bold{No\ solution}}[/tex]
Step-by-step explanation:
[tex]C:\ y=6x+9\\\\D:\ y=6x+2\\\\\left\{\begin{array}{ccc}y=6x+9&(1)\\y=6x+2&(2)\end{array}\right\\\\\text{substitute (1) to (2):}\\\\6x+9=6x+2\qquad\text{subtract 6x from both sides}\\\\9=2\qquad\bold{FALSE}\\\\\text{Therefore the answer is:}\ \bold{no\ solution}[/tex]
The table below shows the function f.
Determine the average rate of change of the given function.
A.
B.
C.
D.
Answer:
the average rate of change is -1/6 per unit increase in x
Step-by-step explanation:
Looking at the table, we see that for each unit change in x, y decreases by 1/6. Thus, the average rate of change is -1/6 per unit increase in x.
Answer with explanation:
Average rate of Change
[tex]=\frac{f(x_{2})-f(x_{1})}{x_{2}-x_{1}}\\\\=\frac{\frac{25}{3}-\frac{17}{2}}{4-3}\\\\=\frac{50-51}{6*1}\\\\=\frac{-1}{6}[/tex]
You can find average rate of change by taking any two distinct points on the curve.
Option B