Answer:
The given equations are;
x = (a + b)²
y = a² + 2·a·b + b²
z = a² + b² - 2·a·b
(a) The numerical coefficients of z terms are
1, 1, -2
The sum of the numerical coefficients = 1 + 1 - 2 = 0
(b) y + z is found by substituting the values of 'y' and 'z', in the expression y + z, as follows;
y + z = a² + 2·a·b + b² + a² + b² - 2·a·b = 2·a² + 2·b²
y + z = 2·a² + 2·b²
y - z = a² + 2·a·b + b² - (a² + b² - 2·a·b) = 4·a·b
(c) Given that a = 3, and b = -2, we have;
x = (a + b)² = a² + a·b + a·b + b² = a² + 2·a·b + b² = y
Therefore, x = y, for all values of 'a', and 'b'
Step-by-step explanation:
What is the length of the shorter of the two chords shown? The length of the shorter chord is units.
Given: The length of the chords are given.
To find: Here we need to identify which of the chord is having shorter length,
Solution: By the given option it is clear that the 13 units is the answer.
Therefore, the shorter of the two chords shown are 13 units.
Answer:
The person above is 13 13 13 13
Step-by-step explanation:
13 13 13 13 13 13 13 13 13 13 13 13 13 13 its right on edge
13 13 13 13 13 13 13 13 13 13 13 13 13 13 its right on edge
13 13 13 13 13 13 13 13 13 13 13 13 13 13 its right on edge
13 13 13 13 13 13 13 13 13 13 13 13 13 13 its right on edge
The black graph is the graph of y= f(x). Choose the equation for the red graph
which one: a, b, c, d?
Answer:
Option C.
Step-by-step explanation:
First, let's define the transformations used here:
We can see that the red graph is shifted horizontally to the right, and that is reflected across the x-axis:
Horizontal shift:
For a general function f(x) an horizontal shift of N units is written as:
g(x) = f(x + N)
where:
If N > 0, the shift is to the left
if N < 0 , the shift is to the right.
Reflection across the x-axis.
For a function f(x), a reflection across the x-axis is just written as:
g(x) = -f(x)
So, if here we have a reflection across the x-axis and a horizontal shift of one unit to the right, we would write the equation for the red graph as:
g(x) = -f(x) (only for the reflection)
g(x) = -f(x - 1) (for the reflection and the shift)
Then the graph of the red function is:
y = -f(x - 1)
We can rewrite this as:
y = -1*f(x - 1)
dividing both sides by -1 we get:
y/-1 = f(x - 1)
This is what we can see in option C, so the correct option is C.
A train travels a total of 38 km at a constant speed of 90 km/h. How long is its journey? Give your answer in minutes and seconds, to the nearest second.
I WILL GIVE BRAINLIEST TO BEST ANSWER
Answer:
3420 minutes 205,200 second.
In Which Quadrant is this true
Given:
[tex]\sin \theta <0[/tex]
[tex]\tan \theta <0[/tex]
To find:
The quadrant in which [tex]\theta[/tex] lie.
Solution:
Quadrant concept:
In Quadrant I, all trigonometric ratios are positive.
In Quadrant II, only [tex]\sin\theta[/tex] and [tex]\csc\theta[/tex] are positive.
In Quadrant III, only [tex]\tan\theta[/tex] and [tex]\cot\theta[/tex] are positive.
In Quadrant IV, only [tex]\cos\theta[/tex] and [tex]\sec\theta[/tex] are positive.
We have,
[tex]\sin \theta <0[/tex]
[tex]\tan \theta <0[/tex]
Here, [tex]\sin\theta[/tex] is negative and [tex]\tan\theta[/tex] is also negative. It is possible, if [tex]\theta [/tex] lies in the Quadrant IV.
Therefore, the correct option is D.
I need somebody to help this due in 25 minutes
Answer:
line n
Step-by-step explanation:
Line n goes through points A and G on the diagram.
Quadrilateral A' B'C'D' is the image of quadrilateral ABCD under a dilation with a scale factor of 3
What is the length of segment BC?
Answer:
3
Step-by-step explanation:
A'B'C'D' is 3 times bigger than ABCD, so to get back to the original we gotta count the length of B'C' and devide by 3
[tex]9 \div 3 = 3[/tex]
The length of the segment BC or preimage of BC was 3 units.
What are transformations?Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.
Dilation: The preimage is scaled up or down to create the image.
Reflection: The picture is a preimage that has been reversed.
Rotation: Around a given point, the preimage is rotated to create the final image.
Translation: The image is translated and moved a fixed amount from the preimage.
Given, A Quadrilateral A' B'C'D' is the image of quadrilateral ABCD under a dilation with a scale factor of 3.
From the graph diagram the length of segment B'C' is 9 units.
Therefore, Before the dilation, the length of the segment BC would be
(1/3)×9.
= 3 units.
learn more about transformations here :
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852 pounds of grapes were packed equally into 3 boxes for shipping. How many pounds of grapes were there in 2 boxes?
Answer:
568 in 2 boxes
Step-by-step explanation:
852 = total of grapes
852 ÷ 3 = 284 per box
To find 2 boxes:
284 + 284= 568
Write an absolute value function that shifted 2
units right.
HELPPPP
Answer: (a)
Step-by-step explanation:
Suppose the original function is [tex]y=\left | x \right |[/tex]
To shift it 2 units right, replace x by x-2 such that
[tex]\Rightarrow x-2=0\\\Rightarrow x=2[/tex]
So, the function becomes [tex]y=\left | x -2\right |[/tex]
This is due for Tuesday please help.
Answer:
n=0.05
0.00036km
Step-by-step explanation:
a)
20:1
1:0.05
n=0.05
b)
1:25000
0.00036:9
0.00036km
Three siblings are doing their washing and hanging all the items on the washing line.
On each line there is a shirt, a jumper and a towel. Each one has one spotted, one plain and one striped item, BUT none of them has the same item in the same design as their sibling. Sandra’s jumper is the same design as Paul’s towel and Paul’s jumper is the same design as Kerry’s towel. Kerry’s jumper is stripped and Sandra’s shirt is spotted.
Who has a striped shirt?
b) What design is Paul’s towel?
c) Who has a spotted jumper?
a.) If m 1 = 3x - 7, find x.
Answer:
x = 25
Step-by-step explanation:
Angle 1 and the angle opposite from Angle 1 (the angle that's 68°) are vertical angles.
What are vertical angles, you ask?
According to the Oxford dictionary, vertical angles are each of the pairs of opposite angles made by two intersecting lines.
For example, take the letter X. The letter X has two lines that intersect to form 4 angles. The top and bottom angles are a pair of vertical angles. So are the left and right angles.
Vertical angles are always congruent.
(This is VERY important to know! It will help you solve many types of geometry problems!)
m1 is 3x - 7. Because Angle 1 and the angle that's 68° are vertical angles, that means they are equal to each other.
Therefore: 3x - 7 = 68.
Now, you can solve for x to get x = 25.
Hope this helps!
PLEASEEEEEEEE HELPPPPPPPPPPPPPPPPPPPPPPPPPPP
HELP THIS IS MY LAST ASSIGNMENT FOR MATH
Answer:
Decompose each number:
\begin{gathered}6) 90 = 9 \times 10\\\\7) 40 = 4 \times 10\\\\8)890 = 89 \times 10\\\\9) 300 = 3 \times 100\\\\10) 7000 = 7 \times 1000\\\\11)3700 = 37 \times 100\\\\\end{gathered}
6)90=9×10
7)40=4×10
8)890=89×10
9)300=3×100
10)7000=7×1000
11)3700=37×100
Correct the error. Write the correct decomposition:
\begin{gathered}12) 560 = 56 \times 10\\\\13) 4300 = 43 \times 100\\\\14) 6000 = 60 \times 100 \ \ or \ \ 6 \times 1000\end{gathered}
12)560=56×10
13)4300=43×100
14)6000=60×100 or 6×1000
1. Each student at a school has a student identification number. Counselors have a computer
generate 50 random identification numbers and those students are asked to take a survey.
What type of sampling is this?
Choose 1 answer: *
Simple random sampling
O Stratified random sampling
O Cluster random sampling
Systematic random sampling
Answer:
Simple random sampling
Step-by-step explanation:
From the sampling description explained above, the sampling method used is a simple random sampling method whereby a small subset or group is chosen from a larger set or population with all individuals in the population having exactly equal chance. The entire sample during a simple random sampling does not have to partitioned or subdivided into groups or subgroups. All individual samples are entirely sampled together with all having the sample probability of being chosen. This way the samples are representative of the entire population. All students in the scenario were sampled with any subdivision. Hence, we have a simple random sampling method.
Answer please ill apprciate it
Answer:
is B. 75
Step-by-step explanation:
x+26=101
x=101-26
:. x=75
[tex]\huge\boxed{\fcolorbox{lime}{yellow}{ B. \:75}}[/tex]
[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}[/tex]
[tex]x + 26 = 101[/tex]
[tex]➺ \: x = 101 - 26[/tex]
[tex]➺ \: x = 75[/tex]
Therefore, the value of [tex]x[/tex] is 75.
[tex]\sf \bf {\boxed {\mathbb {TO\:VERIFY :}}}[/tex]
[tex]➺ \: x + 26 = 101[/tex]
[tex]➺ \: 75 + 26 = 101[/tex]
[tex]➺ \: 101 = 101[/tex]
➺ L. H. S. = R. H. S.
Hence verified.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
Here's a little something that will tease your brain. I doubt someone will answer this
Answer:
500ml orange juice is the most cost effective
Math tough, who agrees to this statement
Answer:
$1160
Step-by-step explanation:
And yes I agree to this statement
Where are the asymptotes of f(x) = tan (4x-pi) from x=0 to x= pi/2
A. X= pi/4, x=3pi/4
B. 0, x=pi/4
C. X=pi/2, x=3pi/2
D. X= 3pi/8, x=5pi/8
Step-by-step explanation:
the asymptotes of f(x) :
(4x-π) = π/2
4x = 3π/2 => x = 3π/8
(4x-π) = 3π/2
4x=5π/2 => x = 5π/8
the answer is
D. X= 3pi/8, x=5pi/8
In the figure above, what is the value of a + b + c + d + e + f?
Answer:
a+b+c+d+e+f = 360º
Step-by-step explanation:
Each side of the outer triangle
is a straight line segment which is 180º
Since there are three sides
180 * 3 = 540º
therefor a+b+c+d+e+f + inside triangle = 540
The angles of the inside triangle total 180º
a+b+c+d+e+f = 540 - 180
a+b+c+d+e+f = 360º
PLEASE HELP! Enter answer/code
* show me how you got it and no random answers*
Answer:
a+b
Step-by-step explanation:
you have to multiply
7(3a-2b) 5(3b-4a)
7x3=21 5x3=15
7x2=14 5x4=20
(21a-14b) (15b-20a)
add them
21a-14b+15b-20a
21a-20a=1a
-14b+15b=1b
1a+1b
The seven numbers 1, 2, 5, 10, 25, 50, 100 repeat to form the following pattern.
1, 2, 5, 10, 25, 50, 100, 1, 2, 5, 10, 25, 50, 100
What is the 75th number in the pattern? How did you get the answer?
Answer:
25
Step-by-step explanation:
First number = 1
Second number = 2
Third number = 5
Fourth number = 10
Fifth number = 25
Sixth number = 50
Seventh number = 100
Again 14th number will be = 100
Again 21st number will be = 100
Continuing 70 th number will be = 100
71st number= 1
72nd number = 2
73rd number = 5
74th number = 10
75th number = 25
OR
[tex]\frac{75}{7} = 10 \times 7 + 5\\[/tex]
So, after repeating 10 times up to 100, then the 5 number will be the 75th number , which is 25
Please please help me please please help
Answer:
D
Step-by-step explanation:
Total ribbon left is 28 1/3 - 10 2/3= 86/3-32/3=54/3=18
What are the coordinates of R on segments QS such that the ratio is 1:2. Q(-6,2) S(5,6)
Given:
The endpoints of a line segment QS are Q(-6,2) and S(5,6).
Point R divides the line segment QS in 1:2.
To find:
The coordinates of point R.
Solution:
Section formula: If a point divides a line segment in m:n, then the coordinates of that point are:
[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]
It is given that the endpoints of a line segment QS are Q(-6,2), S(5,6) and point R divides the line segment QS in 1:2. So, the coordinate of point R are:
[tex]R=\left(\dfrac{1(5)+2(-6)}{1+2},\dfrac{1(6)+2(2)}{1+2}\right)[/tex]
[tex]R=\left(\dfrac{5-12}{3},\dfrac{6+4}{3}\right)[/tex]
[tex]R=\left(\dfrac{-7}{3},\dfrac{10}{3}\right)[/tex]
Therefore, the coordinates of point R are [tex]\left(\dfrac{-7}{3},\dfrac{10}{3}\right)[/tex].
What number set does 20 belong to
i dont understand ur question pls make it more clear!
A circular cardboard piece is needed for the base of a volcano model. The volcano is 46 centimeters tall and has a volume of 800 cubic centimeters. Which equation can be used to find the area of the circular base? 46 = one-third (B) squared (800) 46 = one-third (B) (800) 800 = one-third (B squared) (46) 800 = one-third (B) (46)
Answer:
800 = 1/3(B)(46)
Step-by-step explanation:
Volume of a cone is [tex]1/3pir^2h[/tex]
we can set up an equation where V = 1/3pir^2h
Knowns :
V = 800
h = 46
Plug the knowns into the equation
800 = 1/3(pir^2)(46)
pir^2 is the area of a circle, which in this case is B
hope this helps
The equation which can be used to find the area of the circular base is 800 = 1/3(πr²)(46)
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
Given that circular cardboard piece is needed for the base of a volcano model.
The volcano is 46 centimeters tall and has a volume of 800 cubic centimeters.
We have to find the equation which can be used to find the area of the circular base.
Volume of a cone is 1/3πr²h
V= 1/3πr²h
Plug in the values of volume and height in the above formula
V = 800
h = 46
800 = 1/3(πr²)(46)
Hence, the equation which can be used to find the area of the circular base is 800 = 1/3(πr²)(46)
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Her result was x =-4.
A- What is the correct value of x? B- What was Samira’s error? Explain.
. If you subtract ½ from a number and multiply the result by ½, you get 1/8 what is the number?
pls answer in detail
Answer:
0.75
Step-by-step explanation:
Answer:
3/4
Step-by-step explanation:
Use x for the equation: (x - 1/2)*1/2 = 1/8
Just go backwards
1/8 is the result, and to get it, you multiply by 1/2, so instead of that, you divide 1/8 by 1/2 instead (Dividing a number by a fraction is the same as multiplying it by its reciprocal. The reciprocal of 1/2 is 2): (1/8)/(1/2) = 1/8 * 2 = 2/8 = 1/4, now since we subtracted 1/2, we add instead: 1/4 + 1/2 = 1/4 + 2/4 = 3/4
Ahmad said that the volume of cone A is half the volume of cone B? Do you agree? Explain
Answer:
Yes, I agree
Step-by-step explanation:
See attachments for cone
Cone A
[tex]h = 2r[/tex]
Cone B
R = 2r
[tex]h=r[/tex]
The volume of a cone is
[tex]V = \frac{1}{3}\pi r^2h[/tex]
For cone A, we have:
[tex]V = \frac{1}{3}\pi r^2*2r[/tex]
[tex]V_A = \frac{2}{3}\pi r^3[/tex]
For cone B, we have:
[tex]V = \frac{1}{3}\pi *(2r)^2 * r[/tex]
[tex]V = \frac{1}{3}\pi *4r^2 * r[/tex]
[tex]V_B = \frac{4}{3}\pi r^3[/tex]
So, we have:
[tex]V_B = 2 * \frac{2}{3}\pi r^3[/tex]
Substitute [tex]V_A = \frac{2}{3}\pi r^3[/tex]
[tex]V_B = 2 * V_A[/tex]
Make VA the subject
[tex]V_A = \frac{1}{2}V_B[/tex]
Hence, I agree with Ahmad
solve it : -
[tex] \sqrt{27 \times3 } [/tex]
_______
Answer:
9
Step-by-step explanation:
sqrt(27*3)
sqrt(81)
sqrt(9*9)
9
Answer:
9
Step-by-step explanation:
27 * 3 = 81
√81 = 9
Name the marked angle in 2 different ways.
1) angle DCB
2) angle BCD