Step-by-step explanation:
The circumcenter is the centre of the circumcircle. All the vertices of a triangle are equidistant from the circumcenter.In an acute-angled triangle, circumcenter lies inside the triangle. In an obtuse-angled triangle, it lies outside of the triangle.
if my answer helps you than mark me as brainliest
Renaldo can rollerblade 9.7 miles per hour. at this rate, how far will he rollerblade in 0.75 hours?
Answer: 1.125 miles
Step-by-step explanation:
the supplementary are in the ratio 1:5. What is the measure of the smaller angle?
Answer:
[tex]thank \: you[/tex]
true or false An insurance broker is the best person to advise you on the type of insurance you need.
Answer:
that's sooooooo trued to me
(4yz)-3(x)
Y=4, z=2, x=-3
Answer:
=288
Step-by-step explanation:
(4yz)-3(x)
(4(4)(2))-3(-3)
(4x8)x9
32x9
288
What is the slope of a line with the equation y-2=-3/4(x+5)?
Answer:
Gradient: m = -3/4
Step-by-step explanation:
Please view the PDF attached for full step by step explanation
what is a perimeter of triangle
Answer:
a+b+c is the formula for calculating the perimeter of a triangle:)
Step-by-step explanation:
4/x-7=7/x+6
What is x
Answer:
21
Step-by-step explanation:
[tex]4x + 24 = 7x - 49 \\ then \: collect \: the \: same \: variable \\ 4x - 7x = - 49 - 24 \\ x = - 63 \div - 3 = 21[/tex]
How do I do this, is the equation 40=ksqrt(65)?
Answer:
Step-by-step explanation:
Start a little more generally. Carefully find k
distance = k * speed ^2
112 = k*40^2
112 = k * 1600 Divide by 1600
112/1600 = k
k = 0.07
Now do the question you are asked to do.
distance = k * speed^2
distance = 0.07 * 65^2
distance = 295.75
Now having done that, you can set up a proportion.
d1 / d2 = k speed1^2/kspeed2^2 Cancel the ks
112/d2 = 40^2 / 65^2 Cross multiply
112 * 65^2 = 40^2 * d2 Divide by 40^2
112 * 65^2/40^2 = d2 Expand the squares
112 * 4225 / 1600 = d2
295.75 = d2
The second way is shorter, but I suggest the long way until you get comfortable with it.
using 3 discs complete the puzzle. what is the smallest number of moves you can find
Which function below has the following domain and range?
Answer:
The first choice.
Step-by-step explanation:
Domain = x value (first value in a coordinate pair: (x,y))
Range = y value
A function cannot have a repeating Domain value.
This eliminates the last option since -4 is used twice.
The second option has 11 as a y value but it is not in the range.
The third option has 10 as an x value but it is not in the domain.
Explain how you would go about factoring the following?
3x^2 +17x-28
Answer:
[tex](x + 7) \times (3x - 4)[/tex]
Step-by-step explanation:
[tex] {3}^{2} + 17x - 28[/tex]
[tex]3 {x}^{2} + 21x - 4x - 28[/tex]
[tex]3 \times x(x + 7) - 4x - 28[/tex]
[tex]3x \times ( x + 7) - 4(x + 7)[/tex]
[tex](x + 7) \times (3x - 4)[/tex]
Solve the equation. Check your answer. 27=9x+2-4x
Plz help
The x's are varibles not multiplication btw
Step-by-step explanation:
27=9x+2-4x
or, 27-2=9x-4x
or,25=5x
or,25/5=X
so, X=5
A 45° angle is complementary to angle x. Which of the following equations represents this situation?
Step-by-step explanation:
A 45° angle is complementary to angle
45°+x°=90°
I hope it helped U
stay safe stay happy
what??? I need help urgent :( i didn’t focus in math
Answer: g(x) = (x+1)-3
Step-by-step explanation: Assuming you are moving from expression f to expression g, the plus one in the equation moves the vertex to the right one. subtracting three outside of the parenthesis moves the vertex down three, giving you a vertex of (1,-3). hope this helps!
Romeo bought a mixture of 20-cent, 35-cent,
and 50-cent valentines. The number of 20-cent
valentines was 1 more than twice the number of
35-cent valentines, and the number of 50-cent
valentines was 2 less than the number of
35-cent ones. If he spent $4.20 all together,
how many valentines of each kind did he buy?
9514 1404 393
Answer:
20-cent: 935-cent: 450-cent: 2Step-by-step explanation:
Let x, y, z represent the numbers of 20-cent, 35-cent, and 50-cent valentines. Then the given relations can be written as ...
x = 1 +2y
z = -2 +y
0.20x +0.35y +0.50z = 4.20
__
Using the first two equations to substitute for x and y in the third equation, we get ...
0.20(1 +2y) +0.35y +0.50(-2 +y) = 4.20
1.25y -0.80 = 4.20 . . . . . simplify
1.25y = 5.00 . . . . . . . . . . add 0.80
y = 4 . . . . . . . . . . . . . . . divide by 1.25
x = 1 +2(4) = 9
z = -2 +4 = 2
Romeo bought 9 20-cent, 4 35-cent, and 2 50-cent valentines.
how do you simplify this question x^3z^7/x^5z
Answer:
go to symbolab and it will simplify for you, brainly is useless with these kinds of questions. Symbolab.com very easy to use and gives you answer right away instead of have to wait for some oaf like me to solve your problems.
Step-by-step explanation:
the ratio of two number is 4:7 and their hcf is 6 .find their lcm
168
this is the full process
2. The arithmetic mean of a distribution is 5. The second and the third moments about the mean are 20 and 140 respectively. Find the third moment of the distribution about 10.
Please explain the answer and workings.
Step-by-step explanation:
The arithmetic mean of a distribution is 5. The second and the third moments about the mean are 20 and 140 respectively. What is the third moment of the distribution about 10?
Call the random variable x.
Now, define a new variable y = x - 5. Note that x - 10 = y - 5.
So, it is clear that (x-10)^3 = (y-5)^3
Also, note that (y-5)^3 can be expanded as follows:
Expand (y-5)³
Result ; y³-15 y²+75 y - 125
Letting E denote expectation with respect to the random variable x, we see that
E[(y-5)^3 ] = E(y^3) -15 E(y^2) + 75 E(y) - 125
Again, recalling that y = x - 5, have
E(y^3) = 140
E(y^2) = 20
E(y) = E(x) - 5 = 5 - 5 = 0
Thus,
E[(y-5)^3 ] = 140 -15(20) + 75(0) -125 = -285
Finally, note that
E[(y-5)^3] = E[({x-5} -5)^3] = E[(x-10)^3]
So, we get E[(x-10)^3] = -285.
Really need to someone to break this down so I can understand it
(a) Find the slope of the curve y= x^2 - 2x - 3 at the point P(2, -3) by finding the limit of the secant slopes through point P.
(b) Find an equation of the tangent line to the curve at P(2, -3)
Answer:
Part A)
The slope is two.
Part B)
[tex]\displaystyle y = 2x - 7[/tex]
Step-by-step explanation:
Part A)
We want to find the slope of the curve:
[tex]\displaystyle y = x^2 - 2x - 3[/tex]
At the point P(2, -3) by using the limit of the secant slopes through point P.
To find the limit of the secant slopes, we can use the difference quotient. Recall that:
[tex]\displaystyle f'(x) = \lim_{h \to 0} \frac{f(x+h) - f(x)}{h}[/tex]
Since we want to find the slope of the curve at P(2, -3), x = 2.
Substitute:
[tex]\displaystyle f'(2) = \lim_{h \to 0} \frac{f(2 + h) - f(2)}{h}[/tex]
Simplify. Note that f(2) = -3. Hence:
[tex]\displaystyle \begin{aligned} f'(2) &= \lim_{h\to 0} \frac{\left[(2+h)^2 - 2(2+h) - 3\right] - \left[-3\right]}{h} \\ \\ &=\lim_{h \to 0}\frac{(4 + 4h + h^2)+(-4-2h)+(0)}{h} \\ \\ &= \lim_{h\to 0} \frac{h^2+2h}{h}\\ \\&=\lim_{h\to 0} h + 2 \\ \\ &= (0) + 2 \\ &= 2\end{aligned}[/tex]
(Note: I evaluated the limit using direct substitution.)
Hence, the slope of the curve at the point P(2, -3) is two.
Part B)
Since the slope of the curve at point P is two, the slope of the tangent line is also two.
And since we know it passes through the point (2, -3), we can consider using the point-slope form:
[tex]\displaystyle y - y_1 = m(x-x_1)[/tex]
Substitute. m = 2. Therefore, our equation is:
[tex]\displaystyle y + 3 = 2(x-2)[/tex]
We can rewrite this into slope-intercept if desired:
[tex]\displaystyle y = 2x - 7[/tex]
We can verify this by graphing. This is shown below:
Given directed line segment JL below, find the coordinates of K such
that the ratio of JK to JL is 7:8. Plot point K.
The coordinate of JK is (-1.7, -0.3)
The coordinate of the points that divides the line segment in the given ratio is calculated as:
[tex](x, y) = (\frac{ax_1 +bx_2}{a+b} , \frac{ay_1 +by_2}{a + b} )[/tex]
where;
a:b = 7:8
From the image;
(x₁, y₁) = (-6, 5) and,
(x₂, y₂) = (2, -5)
Substitute the given points in the equation above to calculate the coordinates of JK.
[tex](x, y) = (\frac{7(-6)+8(2)}{7+8} , \frac{7(5) +8(-5)}{7+8} )\\\\(x, y) = (\frac{-26}{15} , \frac{-5}{15} )\\\\(x,y) = (-1.7, -0.3)[/tex]
Thus, the coordinate of JK = (-1.7, -0.3)
Check the image uploaded for the plot of point K
Learn more here:https://brainly.com/question/12547932
16.
Select all transformations that carry rectangle
ABCD onto itself.
A. Rotate by 90 degrees clockwise using center P.
B. Rotate by 180 degrees clockwise using center P.
C. Reflect across line m.
D. Reflect across diagonal AC.
E. Translate by the directed line segment from A to B.
Answer:
I got B and C.
Step-by-step explanation:
When you rotate by 180° you turn it so that it is facing the other way (ie D is B, C is A, etc) since it's a rectangle, when you rotate by 180°, you still have the same rectangle with angles in the same corners. when you reflect across the midpoint, you are just flipping your rectangle over, and so would again have the same effect as turning it 180°.
What is the exact maximum and minimum values of f(x)=[tex]\sqrt{x+x^2} -2\sqrt{x}[/tex] on [0,4]?
Answer:
[tex]\displaystyle \text{min} = \frac{\sqrt{3+2\sqrt{3}}}{2} - \frac{2\sqrt[4]{3}}{\sqrt{2}} \text{ at } x = \frac{\sqrt{3}}{2}\text{ and } \\ \\ \text{max} = 2\sqrt{5} -4 \text{ at } x = 4[/tex]
Step-by-step explanation:
We want to find the maximum and minimum values of the function:
[tex]\displaystyle f(x) = \sqrt{x + x^2} - 2\sqrt{x}[/tex]
On the interval [0, 4].
First, evaluate its endpoints:
[tex]\displaystyle \begin{aligned} f(0) &= \sqrt{(0)+(0)^2} - 2\sqrt{0} \\ &= 0 \\ \\ f(4) &= \sqrt{(4)+(4)^2} - 2\sqrt{(4)} \\ &= 2\sqrt{5} -4 \end{aligned}[/tex]
Recall that the extrema of a function occurs at its critical points; that is, where its derivative equals zero (or is undefined).
Take the derivative of both sides:
[tex]\displaystyle f'(x) = \frac{d}{dx}\left[ \sqrt{x + x^2} - 2\sqrt{x}\right][/tex]
Differentiate:
[tex]\displaystyle \begin{aligned} f'(x) &= \frac{1}{2\sqrt{x + x^2}} \cdot (1 + 2x) - 2\left(\frac{1}{2\sqrt{x}}\right) \\ \\ &= \frac{2x+1}{2\sqrt{x+x^2}} - \frac{1}{\sqrt{x}} \\ \\\end{aligned}[/tex]
Note that the derivative is undefined at x = 0. Hence, x = 0 is a critical point.
Solve for the zeros of the derivative:
[tex]\displaystyle\begin{aligned} \frac{2x+1}{2\sqrt{x + x^2}} - \frac{1}{\sqrt{x}} &= 0\\ \\ \frac{2x+1}{2\sqrt{x}\sqrt{1 + x }} - \frac{1}{\sqrt{x}} &= 0 \\ \\ \frac{2x+1}{2\sqrt{1+x}} - 1 &= 0\\ \\ 2x + 1 &= 2\sqrt{1+x} \\ \\ 4x^2 + 4x + 1 &= 4 + 4x \\ \\ x^2 &= \frac{3}{4} \\ \\ x= \frac{\sqrt{3}}{2} \end{aligned}[/tex]
Therefore, our only two critical points are at x = 0 and x = √3/2:
Evaluate the function at x = √3/2:
[tex]\displaystyle \begin{aligned} f\left(\frac{\sqrt{3}}{2}\right) &= \sqrt{\left(\frac{\sqrt{3}}{2} \right)+ \left(\frac{\sqrt{3}}{2}\right)^2} - 2 \sqrt{\left(\frac{\sqrt{3}}{2}\right)} \\ \\ &= \frac{\sqrt{3+2\sqrt{3}}}{2}- \frac{2\sqrt[4]{3}}{\sqrt{2}} \\ \\ &\approx -0.5900\end{aligned}[/tex]
In conclusion: the exact maximum and minimum values of f on the interval [0, 4] is:
[tex]\displaystyle \text{min} = \frac{\sqrt{3+2\sqrt{3}}}{2} - \frac{2\sqrt[4]{3}}{\sqrt{2}} \text{ at } x = \frac{\sqrt{3}}{2}\text{ and } \\ \\ \text{max} = 2\sqrt{5} -4 \text{ at } x = 4[/tex]
Please help ASAP!!!!
Answer:
x = y - 8
Step-by-step explanation:
To solve for x just subtract 8 from both sides to isolate x.
2. If 3x - y = 4, what is the value of 27^x/3^y
9514 1404 393
Answer:
81
Step-by-step explanation:
Rewriting the expression as powers of 3, we get ...
[tex]\dfrac{27^x}{3^y}=\dfrac{(3^3)^x}{3^y}=3^{3x-y}=3^4=\boxed{81}[/tex]
At Jeremy's school, the final grade for his Human Biology course is weighted as follows:
Tests: 50%
Quizzes: 35%
Homework: 15%
Jeremy has an average of 94% on his tests, 78% on his quizzes, and 62% on his homework.
What is Jeremy's weighted average?
83.6%
78%
74.8%
75.6%
Answer:
78%
Step-by-step explanation:
.94 + .78 + .62 = 2.34
2.34/3 = .78
.78 = 78%
Jeremy's weighted average is 83.6%
The grades and the weights of the grades can be represented using the following table
Subject Final Grade Average
Test 50% 94%
Quiz 35% 78%
Homework 15% 62%
The weighted average (w) is the sum of the product of the final grades and the average.
So, we have:
[tex]w = \sum Final\ Grade \times Avearge[/tex]
This gives
[tex]w = 50\% \times 94\% + 35\% \times 78\% + 15\% \times 62\%[/tex]
Evaluate the products
[tex]w = 47\% + 27.3\% + 9.3\%[/tex]
Evaluate the sums
[tex]w = 83.6\%[/tex]
Hence, the weighted average is 83.6%
Read more about weighted average at:
https://brainly.com/question/11408596
Calculate the difference and enter it below.
-19-(-10)
Answer here
Answer:
+1 is the answer
Step-by-step explanation:
-19-(-10)
-19+10
+1
28) Find the circumference of a circle with a diameter of 2.5 inches. (it = 3.14)
Answer: Circumference = 7.85 inches
Concept:
Here, we need to know the idea of circumference.
The circumference is the perimeter of a circle. The perimeter is the curve length around any closed figure.
Circumference = 2πr
r = radius
π = constant
Solve:
Given information
r = (1/2) d = (1/2) (2.5) = 1.25 inches
π = 3.14
Given formula
Circumference = 2πr
Substitute values into the formula
Circumference = 2 · (3.14) · (1.25)
Simplify by multiplication
Circumference = (2.5) · (2.14)
Circumference = [tex]\boxed {7.85 inches}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Step-by-step explanation:
Using the formulas
C=2πr
d=2r
Solving forC
C=πd=π·2.5≈7.85398in
5,356+2,398
=(5,356+2)+ (2,398 + 2)
5,358+2400=7,758
is kElly's answer correct? what mistake did she make?
Answer:
No because she added 2 instead of 2398. She thought the 2 was separate because of the comma separating the 2 thousand. She also made a mistake by thinking she could add easily by adding 2 to 2398 to make 2400.
The addition of the given numbers is 7,758.
Use the concept of addition defined as:
In mathematics, addition is an arithmetic operation that combines two or more numbers to produce a sum.
It is a fundamental operation used to calculate the total or the result of combining quantities. When adding numbers, you start with the first number, and then incrementally add subsequent numbers to obtain a final sum. The order in which numbers are added does not affect the result, thanks to the commutative property of addition.
This fundamental concept of addition forms the basis for more advanced mathematical operations and problem-solving techniques.
The given numbers are:
5,356+2,398
Now simply add these numbers:
5 3 5 6
+2 3 9 8
7 7 5 4
Hence,
The addition of the given numbers is 7,758.
To learn more about the addition visit:
https://brainly.com/question/25421984
#SPJ3
brainiest to whoever right
Answer:
(x - 6)(x + 2)
Step-by-step explanation:
x^2 - 4x - 12
=x^2 - 6x + 2x - 12
=x( x - 6) + 2(x - 6)
=(x - 6)(x + 2)
Answer:
x^2 -4x-12
factorization of 12 =2×2×3 = 6×4
or in the place of 4x = we put (6-2)x
x^2-(6-2)x-12
x^2-6x+2x-12
x(x-6)+2(x-6)
(x-6) (x+2)
Hello! Can someone please answer the photo? I honestly forgot about Prime Factorization... No links please and thank you!
Answer:
D
Step-by-step explanation:
im thinking its d, because prime factorisation is a way of expressing a number as a product of its prime factors.
a isn't correct since 9 isn't is a prime number.
b isn't correct because you wouldn't use decimals typically.
c isn't correct because 1 is not a prime number.
d is the only correct solution since all the numbers listed are prime numbers.
