Answer:
wsp?
Step-by-step explanation:
9x^2 + 6x
Find the value of x for which ABCD must be a parallelogram.
If your answer is not a whole number, write your answer in fractional form as a/b.
Answer:
[tex]x = \frac{5}{3}[/tex]
Step-by-step explanation:
Parallelogram
It's a quadrilateral formed by two pairs of parallel sides. The opposite sides have equal lengths.
We are given a parallelogram with opposite sides of 3x+1 and 6x-4. They must be equal, thus:
6x - 4 = 3x + 1
Subtracting 3x:
3x - 4 = 1
Adding 4:
3x = 5
Dividing by 3:
[tex]\mathbf{x = \frac{5}{3}}[/tex]
Solve using elimination.
X + 8y = 3
2x – 4y = -14
Answer:
X+8y=3, 2x-4y=-14
Step-by-step explanation:
Since we do not know the values of x or y we have to leave them the way they are because you can't combine x and y
At Max party,3/12 of the guests are 10 years old and 7/12 of the guests are 11 years old. What fraction of the guests are 10 or 11 years old.
Answer:
10/12
Step-by-step explanation:
3/12 + 7/12 = 10/12
HELP ME I NEED HELP PLEASE I HATE MATH
Answer:
The first one is X=5.
The second one is X=8
Hope this helps!
Expand.
Your answer should be a polynomial in standard form.
(x + 1)(x+8)
Stuck? Watch a video or use a hint.
Answer:
[tex]x^{2} +9x+8[/tex]
Step-by-step explanation:
Multiply using the terms using the FOIL (first, inside, outside, last) method.
x (x) = [tex]x^{2}[/tex]
1 (x) = 1x
8 (x) = 8x
1 (8) = 8
After combining like terms (1x + 8x) you are left with a polynomial expression in standard form.
Using polar coordinates, evaluate the integral which gives the area which lies in the first quadrant below the line y=5 and between the circles x2+y2=100 and x2−10x+y2=0.
First, complete the square in the equation for the second circle to determine its center and radius:
x ² - 10x + y ² = 0
x ² - 10x + 25 + y ² = 25
(x - 5)² + y ² = 5²
So the second circle is centered at (5, 0) with radius 5, while the first circle is centered at the origin with radius √100 = 10.
Now convert each equation into polar coordinates, using
x = r cos(θ)
y = r sin(θ)
Then
x ² + y ² = 100 → r ² = 100 → r = 10
x ² - 10x + y ² = 0 → r ² - 10 r cos(θ) = 0 → r = 10 cos(θ)
y = 5 → r sin(θ) = 5 → r = 5 csc(θ)
See the attached graphic for a plot of the circles and line as well as the bounded region between them. The second circle is tangent to the larger one at the point (10, 0), and is also tangent to y = 5 at the point (0, 5).
Split up the region at 3 angles θ₁, θ₂, and θ₃, which denote the angles θ at which the curves intersect. They are
θ₁ = 0 … … … by solving 10 = 10 cos(θ)
θ₂ = π/6 … … by solving 10 = 5 csc(θ)
θ₃ = 5π/6 … the second solution to 10 = 5 csc(θ)
Then the area of the region is given by a sum of integrals:
[tex]\displaystyle \frac12\left(\left\{\int_0^{\frac\pi6}+\int_{\frac{5\pi}6}^{2\pi}\right\}\left(10^2-(10\cos(\theta))^2\right)\,\mathrm d\theta+\int_{\frac\pi6}^{\frac{5\pi}6}\left((5\csc(\theta))^2-(10\cos(\theta))^2\right)\,\mathrm d\theta\right)[/tex]
[tex]=\displaystyle 50\left\{\int_0^{\frac\pi6}+\int_{\frac{5\pi}6}^{2\pi}\right\} \sin^2(\theta)\,\mathrm d\theta+\frac12\int_{\frac\pi6}^{\frac{5\pi}6}\left(25\csc^2(\theta) - 100\cos^2(\theta)\right)\,\mathrm d\theta[/tex]
To compute the integrals, use the following identities:
sin²(θ) = (1 - cos(2θ)) / 2
cos²(θ) = (1 + cos(2θ)) / 2
and recall that
d(cot(θ))/dθ = -csc²(θ)
You should end up with an area of
[tex]=\displaystyle25\left(\left\{\int_0^{\frac\pi6}+\int_{\frac{5\pi}6}^{2\pi}\right\}(1-\cos(2\theta))\,\mathrm d\theta-\int_{\frac\pi6}^{\frac{5\pi}6}(1+\cos(2\theta))\,\mathrm d\theta\right)+\frac{25}2\int_{\frac\pi6}^{\frac{5\pi}6}\csc^2(\theta)\,\mathrm d\theta[/tex]
[tex]=\boxed{25\sqrt3+\dfrac{125\pi}3}[/tex]
We can verify this geometrically:
• the area of the larger circle is 100π
• the area of the smaller circle is 25π
• the area of the circular segment, i.e. the part of the larger circle that is bounded below by the line y = 5, has area 100π/3 - 25√3
Hence the area of the region of interest is
100π - 25π - (100π/3 - 25√3) = 125π/3 + 25√3
as expected.
Please help me solve this. And please include explanation
Answer: B
Step-by-step explanation:
Anna is x years old and her sister is 5 years older. How old was her sister 5 years ago?
Answer:
Step-by-step explanation:
if anna is x years old and her sister is 5 five years older the eqasion would be x=5-5x but there is no further information for the answer. You need to know how old anna is to answer the question. Did you write it correctly
Answer:
It's X
Step-by-step explanation:
Because We know that Anna is X, and we also know that she is 5 years younger we know that her sister's age must be x, as it is asking for her age 5 years ago.
I need a lot of help, please
number 20
Answer:
Volume of square pyramid = 330.24 inches³
Step-by-step explanation:
Question No 20
Base of Square Pyramid = 8 inches
Height of Square Pyramid = 15.5 inches
We need to determine the volume of pyramid.
The formula used is: [tex]Volume\:of\:Square\:Pyramid=a^2\times \frac{h}{3}[/tex]
Putting values of base and height of pyramid and finding volume
[tex]Volume\:of\:Square\:Pyramid=a^2\times \frac{h}{3}\\Volume\:of\:Square\:Pyramid=(8)^2\times \frac{15.5}{3}\\Volume\:of\:Square\:Pyramid=64 \times 5.16\\Volume\:of\:Square\:Pyramid=330.24\:inches ^3[/tex]
So, Volume of square pyramid = 330.24 inches³
please help me pleaseeee
Answer:
.45
Step-by-step explanation:
52+31=83
83-12=71
71+23=94
94=49=45
Van purchased a DVD player on sale. The original selling price was
$175,90. The sale price was $141.37. What is the first step in finding the percent markdown? Find the
percent markdown,
What is the first step in finding the percent markdown?
Answer:The percent decrease was 15%
Step-by-step explanation:
In order to find this, use the percent change equation.
(New - Old)/(Old) * 100 = % Change
Now input 149.42 for the New price and 175.80 for the Old price.
(149.42 - 175.80)/(175.80) * 100 = % Change
-26.38/175.80 * 100 = % Change
-.15 * 100 = % Change
-15 = % Change
Step-by-step explanation:
Dakota has 14 chocolates, 9 candies and 12 strawberries.
Find the integer that represents the total number of things that Dakota has.
Answer:
35
Step-by-step explanation:
14 + 9 + 12= 35
-2n + 1.8 = 3.2
What value of n makes the equation true?
Answer:
1.4
Step-by-step explanation:
$_$
Answer:
I think its -4
Step-by-step explanation:
Simplify 7-5x-(3+5x)
Answer:
4-10x
Step-by-step explanation:
Hey there!
7 - 5x - (3 + 5x)
= 7 - 5x - 1(3 + 5x)
= 7 - 5x -1(3) - 1(5x)
= 7 - 5x - 3 - 5x
COMBINE the LIKE TERMS
= (-5x - 5x) + (7 - 3)
= -10x + 4
Therefore, your answer should be: -10x + 4
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
I NEED HELP PLEASE !!!
1. What is the equation in point-slope form of the line that has a slope of 1/3 and passes through the point (12, 5)?
2. What is the equation in point-slope form of the line that has a slope of -4 and passes through the point (0, -8)?
3. What is the equation in point-slope form of the line that has a slope of -4 and passes through the point (0, -8)?
Answer:
45
Step-by-step explanation:
because the mass
Pand Q are points on the line
3x + 2y = 6
(a)
Complete the coordinates of P and Q.
Answer:
you are multiplying baceicly
Step-by-step explanation:
3×2=6
LMNO is a parallelogram. If NM = x + 15 and OL = 3x + 5 find the value of x and then find NM and OL.
Answer:
x = 5 unit
NM = 20 unit
OL = 20 unit
Step-by-step explanation:
Given:
LMNO is parallelogram
NM = x + 15
OL = 3x + 5
Find:
x and NM and OL
So,
NM = OL
x + 15 = 3x + 5
2x = 10
x = 5
So,
NM = x + 15 = 5 + 15 = 20
OL = 3x + 5 =3(5)+5 = 20
In triangle ABC, what is the measure of b if a = 6, C = 4,
and B = 75°?
A. 5.64
B. 6.29
C. 6.78
D. 7.02
Given:
In triangle ABC, a = 6, c = 4, and B = 75°.
To find:
The measure of b.
Solution:
According to the Law of Cosine:
[tex]b^2=a^2+c^2-2ac\cos B[/tex]
Substituting the given values in the above formula, we get
[tex]b^2=(6)^2+(4)^2-2(6)(4)\cos (75^\circ)[/tex]
[tex]b^2=36+16-48(0.2588)[/tex]
[tex]b^2=52-12.4224[/tex]
[tex]b^2=39.5776[/tex]
Taking square root on both sides, we get
[tex]b=\sqrt{39.5776}[/tex]
[tex]b=6.291073[/tex]
[tex]b\approx 6.29[/tex]
The measure of side b is 6.29 units.
Therefore, the correct option is B.
SHORT ANSWER: What is the volume of the irregular shaped prism? Explain how you found its volume. Use ACE! (Answer, Computation, Explain)
Answer:
Total volume = 355 cm³
Step-by-step explanation:
Volume of the irregular prism = volume of part A + volume of part B
Volume of part A which is also a rectangular prism = Length × width × height
= (11 - 5) × 5 × 6
= 6 × 5 × 6
= 180 cm³
Volume of rectangular prism B = 5 × 5 × (6 + 5)
= 5 × 5 × 11
= 275 cm³
Total volume = 180 + 175
= 355 cm³
C=S + 16
The variable s represents the number of additional sticks of butter Max buys, and the variable
c represents the total number of cakes he can bake. How many additional sticks of butter
does Max need in order to bake a total of 17 cakes?
What is an equation of the line that passes through the points (-7,3) and (-4,3)?
Answer:
Step-by-step explanation:
Slope = 0
y-y1=m(x-x1)
y-3=0
y = 3
Find the mean of the data in the dot plot below.
Answer:
2.5
Step-by-step explanation:
1+2+3+4 = 10
10 divided by 4 is 2.5
if 3 bars of chocolate cost $15.00 ghana cedis how much will 7 bars cost ratio
Answer:
7 chocolate bars will cost $35
Step-by-step explanation:
if 3 cost $15 then 1 bar would cost 5 dollars and 5x7=35
here is a ratio:
3 = 7
15 = 35
The owner of a small store buys coats for $55.00 each. Answer parts a and b.
a. She sells the coats for $77.00 each. What percent of the purchase price is the sale price?
Answer:
120
Step-by-step explanation:
120 =1233
100= mk109
Select all the possible input-output pairs for the function
y = x3 .
A. (-1,-1)
B. (-2,8)
C. (3,9)
D. (5)
E. (4,64)
F. (1,-1)
Answer:
A.(-1,-1)
E.(4,64)
Step-by-step explanation:
We are given that
Function
[tex]y=x^3[/tex]
We have to find all possible input-output pairs for the function.
Substitute x=-1
[tex]y=(-1)^3=-1[/tex]
Then, the pair is (-1,-1)
Now, substitute x=-2
[tex]y=(-2)^3=-8[/tex]
Then, pair is (-2,-8)
Now, substitute x=3
[tex]y=3^3=27[/tex]
Now, substitute x=4
[tex]y=4^3=64[/tex]
Now, substitute x=1
Then, y=1
Hence, Option A and E are true.
A.(-1,-1)
E.(4,64)
The possible input-output pairs for the function are [tex](-1,-1)[/tex] and [tex](4,64)[/tex]
Input-output relationship:The given function is,
[tex]y=x^{3}[/tex]
When x = -1 then [tex]y=(-1)^{3} =-1[/tex]
When x = 4 then [tex]y=4^{3}=64[/tex]
When x = -2 then [tex]y=(-2)^{3}=-8[/tex]
Hence, the possible input-output pairs for the function are [tex](-1,-1)[/tex] and [tex](4,64)[/tex]
Learn more about the input and output relation of function here:
https://brainly.com/question/25983065
What is the measurement of PR
Answer:
2.1/////_____\\\\\\
Step-by-step explanation:
hope this helps
Determine the value of each expression.
i2 =
Please help me with the following math question:
Amelia goes to Macy’s and buys a pair of shoes. The shoes are $115.95 on sale for 30% off. What is the total she will pay with 6% sales tax included?
Answer:
$86.03
Step-by-step explanation:
30% off = 70% of total price. Add .06 to 1 for 6% sales tax.
($115.95*(.70))*1.06
= $86.03
Write an equation for :
Three times a number decreased by five is equal to twenty five.
Answer:
3x-5=25
Step-by-step explanation: