Using a straightedge, or using technology, sketch an obtuse, scalene triangle. Make sure to include your sketch in your answer.
Answers
Related Questions
What is -2(3x+12y-5-17x-16y+4) simplified?
-40x+8y+2
28x+8y+2
28x+6y+2
-28x-8y+2
Answers
Combine like terms:
[tex]=-2(-14x-4y -1)[/tex]
Distribute 02:
[tex]=28x + 8y + 2[/tex]
A simplified expression involves rewriting an expression in a simpler form
The simplified expression is: 28x+8y+2
The expression is given as:
-2(3x+12y-5-17x-16y+4)
Collect like terms
-2(3x-17x+12y-16y-5+4)
Evaluate the like terms
-2(-14x-4y-1)
Open the bracket
28x+8y+2
Hence, the simplified expression is: 28x+8y+2
Read more about expressions at:
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For the function f(x) = x2, what effect will multiplying f(x) by 1/2 have on the graph?
Answers
f (x) = x2
We apply the following transformation:
Vertical expansions and compressions:
To graph y = a * f (x)
If 0 <a <1, the graph of y = f (x) is compressed vertically by a factor a. (Shrinks)
We have then:
f (x) = (1/2) * x2
Answer:
is compressed vertically by a factor 1/2
The square root of 53 lies between which two numbers?
Answers
There are a couple ways to find this. You could...
A. Use a calculator and simply find the square root of 53 (7.280...) OR
B. You could square each number (1^2, 2^2, 3^2...) until you get the closest 2 numbers (one less than and one greater than) to 53 (7^2 = 49) and (8^2 = 64).
I hope this helps!
Find the approximate surface-area-to-volume ratio of the Moon. The radius of the Moon is 1,080 miles. A. 0.0009 B. 0.0028 C. 360 D. 3,240
Answers
surface area of a sphere=4*pi*r²
volume of a sphere=(4/3)*pi*r³
the ratio surface area to volume
=4*pi*r²/[(4/3)*pi*r³]-----> 3/r----> 3/1080-----> 0.0028
the answer is
the option B. 0.0028
how do you convert cos(x) into sin(x) and tan(x) ?
Answers
tan x
cos x = ---------- In other words, rewrite "cos x" in an expression as
tan x
-----------
sin x
Which of the following gives all of the coefficients of the algebraic expression -2x^2 +17-15x+7xy
Answers
The coefficients of the algebraic expression -2x² + 17 -15x + 7xy are -2, 17, -15 and 7
How to determine the coefficient of the expression
From the question, we have the following parameters that can be used in our computation:
-2x² + 17 -15x + 7xy
Consider an expression represented as
Ax
Where A is a constant and x is the variable
The coefficient of the expression is A
Using the above as a guide, we have the following:
The coefficients of the algebraic expression are -2, 17, -15 and 7
Question
Which of the following gives all of the coefficients of the algebraic expression -2x^2 +17-15x+7xy
a. 2, 17, 15 and 7
b. -2, 17, -15 and 7
c. -2, -17, -15 and 7
d. -2, -17, 15 and 7
Express answer in exact form.
Find the area of one segment formed by a square with sides of 6" inscribed in a circle.
(Hint: use the ratio of 1:1:√2 to find the radius of the circle.)
Answers
Answer:
A = { 9/2 π - 9 } in^2
Step-by-step explanation:
I just did this
Hope this helps !
To find the area of the segment, subtract the area of the triangle from the area of the sector.
Explanation:To find the area of one segment formed by a square with sides of 6 inches inscribed in a circle, we need to find the area of the sector formed by the circle and subtract the area of the triangle formed by the diagonal of the square.
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A. (-3,-5)
B.( -2,-2)
C. (4,9)
D.(13,5)
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The appropriate choice is ...
D. (13, 5)
What is the surface area of a conical grain storage tank that has a height of 43 meters and a diameter of 14 meters? Round the answer to the nearest square meter.
A. 1,100 square meters
B. 1,112 square meters
C. 2,507 square meters
D. 2,605 square meters
Answers
[surface area of the cone]=pi*r²+pi*r*l
where
r is the radius
l is the slant height
l²=h²+r²
h=43 m
r=14/2---> 7 m
l²=43²+7²----> l²=1898--------> l=43.57 m
[surface area of the cone]=pi*7²+pi*7*43.57----> 1111.53 m²----> 1112 m²
the answer is the option
B. 1,112 square meters
Please help me with 8, 9, and 10 thanks! Show work too
RANDOM ANSWERS WILL BE MODERATED!
Answers
8. hypotenuse / (short side) = 25/x = x/9
x² = 25*9 = 5²×3²
x = √(5²×3²) = 5*3 = 15
9. (long side) / (short side) = x/7 = 9/x
x² = 7*9
x = √(9*7) = 3√7
10. (short side) / (long side) = x/48 = 48/64
x = 48²/64 = 36
A quilt is in the shape of a regular pentagon. It is made from 5 pieces of fabric that are congruent triangles. Each triangle has an area of 16 inches.What is the area of the quilt?
Answers
16 × 5 = 80
The area of the quilt is 80 inches².
Final answer:
The area of the quilt, which is a regular pentagon made from five congruent triangles, is 80 square inches, determined by multiplying the area of one triangle (16 inches) by five.
Explanation:
The area of the quilt which is in the shape of a regular pentagon can be determined by calculating the area of the five congruent triangles that make up the pentagon. Since each triangle has an area of 16 inches, we can find the total area by simply multiplying the area of one triangle by the number of triangles.
To calculate the total area of the quilt:
First, determine the area of one triangle, which is given as 16 inches.Next, since there are five congruent triangles in the pentagon, multiply the area of one triangle by 5.The total area of the quilt would be 16 inches (per triangle) × 5 triangles = 80 inches.Therefore, the total area of the quilt is 80 square inches.
After creating a new email address, Gareth initially receives n emails per year. The number of emails received increases by 7% each year after that. The following expression represents the number of emails received after x years.
x(1 + 0.07)^x
Which of the following best represents the expression?
the product of the number of emails received initially and one plus the factor of increase raised to the number of years that the amount of emails Gareth received has increased
the product of the number of emails received initially and the factor of decrease raised to a period of x years
the product of the number of emails received initially and one plus the factor of decrease raised to the number of years that the amount of emails Gareth received has increased
the product of the number of emails received initially and the factor of increase raised to a period of x years
Answers
The formula to find the number of emails x years after making the email account is:
[tex]N(x)= N_{o}(1+0.07)^{x} [/tex]
where, [tex] N_{o} [/tex] is the number of emails in the first year.
So, the number of emails x years after creating the account is the product of [tex] N_{o} [/tex], the number of emails in first year, and (1+0.07)^x, the sum of 1 and rate of increased raised to the number of years.
Hence option A is the correct answer.
Answer:
The correct answer is Option A.
Step-by-step explanation:
Anyone know this geometry question? Will give brainiest
Answers
This is because of the following rule:
When two lines are parallel, which is the occasion with AB and CD, then the corners in which the intecepting parallel lines (AC and BD) stand must be the same. So corner 6 is equivalent to corner 3, corner 1 and corner 5. Corner 2 and corner 4 are equivalent too.
Complete the equation of the line through (-8,8) and (1,-10). Use exact numbers.
Answers
y = mx + b
-10 = m(1) + b
m + b = -10
b = -10 - m
Now that we have a value for b, we can plug this into the other equation:
8 = m(-8) + b
8 = -8m + (-10 - m)
8 = -9m -10
18 = -9m
m = -2
Now that we know what m is equal to, we can plug this into our first equation to get an answer for b:
b = -10 - m
b = -10 -(-2)
b = -10 + 2
b = -8
Our final equation is y = -2x - 8
The equation of the line through (-8,8) and (1,-10) is y = -2x - 8
Using the slope intercept form equation.
y = mx + b
where
m = slope
b = y-intercept
Therefore,
(-8,8) (1,-10)
m = -10 - 8 / 1 + 8 = - 18 / 9 = -2
Therefore,
let's find b as follows:
(1, -10)
y = -2x + b
-10 = -2(1) + b
b = -10 + 2
b= -8
Therefore,
y = -2x - 8
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Help Please
A survey was taken of 36 people to see if they owned a car and/or a truck. The results are shown in the Venn diagram.
Enter your answers in the boxes to complete the two-way table based on the given data.
First picture is how they want you to put the answers in & the second one is the grid with the numbers
Answers
According to the Venn diagram, 4 people own a car and a truck. 15+4=19 people own a car, and 4+9=13 people own a truck. This leaves us 36-(15+4+9)=36-28=8 people that do not own a car or a truck.
We put 8 in the Don't Own a Truck row under the Don't Own a Car column.
We put 4 in the Own a Truck row under the Own a Car column.
We put 19 in the Total row under the Own a Car column.
We put 15 in the Don't Own a Truck row under the Own a Car column.
We put 13 in the Own a Truck row under the Total column.
We put 9 in the Own a Truck row under the Don't Own a Car column.
We put 23 in the Don't Own a Truck row under the Total column.
We put 8 in the Down Own a Truck row under the Don't Own a Car column.
We put 36 in the Total row under the Total column.
We put 17 in the Total row under the Don't Own a Car column.
The solution to 15 a2 − 1 = 5 2a − 2 is a = . The extraneous solution is a = .
Answers
15 / (a ^ 2 - 1) = 5 / (2a - 2)
Rewriting we have:
3 / (a ^ 2 - 1) = 1/2 (a - 1)
6 / (a ^ 2 - 1) = 1 / (a - 1)
6 (a - 1) = (a ^ 2 - 1)
6 (a - 1) = (a-1) (a + 1)
(a + 1) = 6
a = 6-1
a = 5
Answer:
The solution is:
a = 5
Answer:
5 and 1
1 is extraneous
Step-by-step explanation:
Write the function associated with the graph below
Answers
Since the value of the function is decreasing exponentially as x decreases ,
The function is of the form [tex] y=ae^{bx}+c,b>0 [/tex].
Since the curve passes through (0,6),
[tex] 6=ae^{0}+c,6=a+c [/tex],
Since the curve passes through (-1,0),
[tex] 0=ae^{-b}+c [/tex].
Since [tex] y=-3 [/tex] is a horizontal asymptote,
[tex] -3=ae^{-\infty}+c,c=-3 [/tex]
From the above 3 equations,
[tex] c=-3,a=9,9e^{-b}=3,e^b=3,b=\ln 3 [/tex].
Therefore, the required function is
[tex] y=9e^{\ln 3 x}-3\\
y=9*3^{ x}-3 [/tex].
It can be verified that the curve [tex] y=9*3^{ x}-3 [/tex] passes through [tex] (-2,-2) [/tex].
20 points!
Looking at circle O, ∠BOC is a(n)
Please contact your teacher immediately if you do not see the image.
Question options:
minor angle
central angle
inscribed angle
major angle
Answers
A central angle is one that goes through the center of a circle. It's two ends are the endpoints of the chord BC which you should draw on your sheet.
If you do, we can talk about the other answers.
An inscribed angle is one that has it's vertex on the circumference. <BAC is an example. A is the vertex.
A major angle is the part above BC that goes around the circle such that the angle is larger than 180 degrees. It is described above by BAC going clockwise. It is associated with the arc of a circle.
A minor angle is the angle not included in the major angle. In this case it is the angle formed by sweeping around from B to C underneath the chord BC
Write the equation of a horizontal line that passes through the point (3, -3).
Answers
If and represent rational expressions and b0 and y0, what is true of their product? Check all that apply.
Answers
Correct options are Options B, D, E. The product of two rational expressions (a/b) and (x/y) is a rational expression, specifically the ratio of ax and by, or equivalently ax/by. Incorrect options include ay/bx and a/y(x/b).
To determine the product of two rational expressions (a/b) and (x/y), where b ≠ 0 and y ≠ 0, let's explore the given options. Here are the truths about the product:
The product is a rational expression: When you multiply two rational expressions, the result is also a rational expression. This follows from the definition of rational expressions, which are ratios of polynomials.
The product is the ratio of ax and by: Mathematically, multiplying the numerators and denominators of the two rational expressions gives us (ax)/(by).
The product is equivalent to ax/by: This restates the above ratio in a simplified expression form, confirming that the multiplication results in (ax)/(by).
As we can see, the other expressions mentioned (ay/bx, a/y(x/b), a/(y(x/b))) are not correct representations of the product. Correct options are Options B, D, E.
Complete question:
If a/b and x/y represent rational expressions and b0 and y0, what is true of their product? Select three options.
A. The product is equivalent to ay/bx
B. The product is a rational expression.
C. The product is equivalent to a/y(x/b)
D. The product is the ratio of ax and by.
E. The product is equivalent to ax/b(y)
If you add the lengths of the focal radii of an ellipse, what other value will you produce?
2a
2b
2c
The eccentricity
Answers
Equation of an ellipse
→having center (0,0) , vertex ([tex](\pm a ,0)[/tex] and covertex [tex](\pm b ,0)[/tex] and focus [tex](\pm c ,0)[/tex] is given by:
[tex]\frac{x^2}{a^2} + \frac{y^2}{b^2}=1[/tex]
As definition of an ellipse is that locus of all the points in a plane such that it's distance from two fixed points called focii remains constant.
Consider two points (a,0) and (-a,0) on Horizontal axis of an ellipse:
Distance from (a,0) to (c,0) is = a-c = [tex]F_{1}[/tex]
Distance from (-a,0) to (c,0) is = a + c = [tex]F_{2}[/tex]
[tex]F_{1} + F_{2} =[/tex] a -c + a +c
= a + a
= 2 a →(Option A )
What is the radius of convergence of the maclaurin series (2x)/(1+x^2)?
Answers
1. You have to find the radius of convergence of the following Maclaurin series:
[tex](2x)/(1+ x^{2} ) [/tex]
2. Let's take the denominator and find the roots:
[tex]1+ x^{2} =0[/tex]
[tex] x^{2} =-1 \\ x= \sqrt{-1} \\ x1=i \\ x2=-i[/tex]
3. The roots are [tex]x1=i \\ x2=-i[/tex] and the distance from the origin is [tex]1[/tex].
Therefore, the answer is: [tex]1[/tex]
The radius of convergence of the maclaurin series is 1 unit.
It is given that maclaurin series [tex]\rm \frac{2x}{(1+x^2)}[/tex]
It is required to find the radius of the convergence of the maclaurin series.
What is maclaurin series?It is defined as the expansion of a function that provide the approximation of the given function at any point of function.
We have:
[tex]\rm \frac{2x}{(1+x^2)}[/tex]
To find the radius of convergence of the maclaurin series, we must find the roots of denominator hence:
[tex]\rm 1+x^2= 0\\\\\rm x^2 = -1\\\\[/tex]
From the complex number: the roots are imaginary:
[tex]\rm x_1 = i\\x_2 = -i[/tex]
i is the iota
and the distance from the origin (0,0) is 1.
Thus, the radius of convergence of the maclaurin series is 1 unit.
Learn more about the maclaurin series:
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solve for z (attachment)
Answers
z / 4 = (16 + 4)/z
z^2 / 4 = 20
z^2 = 80
z = 4√5
Therefore the answer to this question is z = 4√5.
[tex]\Delta ABD\ and\ \Delta BCD\ are\ similar,\ therefore:\\\\\dfrac{y}{4}=\dfrac{16}{y}\ \ \ \ |cross\ multiply\\\\y\cdot y=4\cdot16\\\\y^2=64\to y=\sqrt{64}\to y=8[/tex]
Use Pythagorean theory:
[tex]z^2=4^2+8^2\\\\z^2=16+64\\\\z^2=80\to z=\sqrt{80}\\\\z=\sqrt{16\cdot5}\\\\z=\sqrt{16}\cdot\sqrt5\\\\\boxed{z=4\sqrt5}[/tex]
Use the grouping method to factor the polynomial below completely.
x3 – 4x2 + 3x – 12
A. (x2 + 4)(x – 3)
B. (x2 – 4)(x + 3)
C. (x2 – 3)(x + 4)
D. (x2 + 3)(x – 4)
Answers
Hope that helped!!!!!!
Daniela is a stain glass artist; she created the window below for her living room. What is
the area of the window she created?
Answers
We know the diameter d = 12 ft.
The area of a (complete) circle is given by the formula:
A = π × r²
The radius can be found by halving the diameter:
r = d ÷ 2
= 12 ÷ 2
= 6 ft
Therefore the area of the circle will be:
A = π × r²
= 3.14 × 6²
= 3.14 × 36
= 113.04 ft²
And the area of the semi-circle:
A = 113.04 ÷ 2
= 56.52 ft²
Hence, the area of the window will be 56.52 ft².
After a 40% discount an item costs $360. what is the original cost
Answers
So...
OP = 360 / 100 - 0.40
OP = 360 / 0.60
OP = 600
The original price is $600.
To check, do 600 - (600 * 0.40) in a calculator. You get 600 - 240 = 360, the discounted cost.
Answer:
It is $600
Step-by-step explanation:
hope it helps, murdle
A rectangular plot of land that contains 1500 square meters will be fenced and divided into two equal portions by an additional fence parallel to two sides. find the dimensions of the land that require the least amount of fencing.
Answers
Let w= the width
Two sections are required, hence 2w of fence required
2x+3w=500
this can be written as:
3w=1500-2x
w=(1500-2x)/3
Area=x*w
replacing w with our expression:
A=x(1500-2x)/3
A=(500x-2x^2)/3
This is a quadratic equation, if we find the axis of symmetry we will know what value of x gives maximum area:
Axis of symmetry: x=-b/2a
From our equation we get:
a=-2/3; b=1500/3
thus
x=(1500/3)/(-(-2/3))
x=750
thus the maximum area will be given by length of 750
How would I find the diameter?
Answers
22 POINTS, NEED URGENT HELP
Write the equation of each circle:
1. R with center R(-1, 8) and radius 5
2. K with center K(4,0) and that passes through (2,0)
Answers
(x+1)^2 + (y-8)^2 = 5^2 (answer)
PLEASE ANSWER + BRAINLIEST!!!
What is the value of 3x^2 - 5xy + 5y^2 for x = -6 and y = 2?
A. -68
B. -4
C. 188
D. 208
Answers
Simplifying all the numbers, it's 3(36) + 30(2) + 5(4), and then 108+60+20. Going along, you get 188