prove this question
please
Answer:
see explanation
Step-by-step explanation:
Consider the left side
[tex]cos^{4}[/tex]A + [tex]sin^{4}[/tex]A - 2cos²Asin²A ← is the expansion of
= (cos²A - sin²A)²
Substitute sin²A = 1 - cos²A
= (cos²A - (1 - cos²A) )²
= (cos²A - 1 + cos²A)²
= (2cos²A - 1 )²
= right side , then proven
please help me
I will give you 20 points
Given the points X(-9, 2) and Y(5, -4), find the length of XYXY. Round to the nearest hundredth.
Answer:
15.23
Step-by-step explanation:
the length of XY =√(5+9)²+(-4-2)²
=√14²+(-6)²
=√196+36
=√232
= 15.23
[tex]\\ \rm\longmapsto XY=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\\ \rm\longmapsto XY=\sqrt{(5+9)^2+(-4-2)^2}[/tex]
[tex]\\ \rm\longmapsto XY=\sqrt{(14)^2+(-6)^2}[/tex]
[tex]\\ \rm\longmapsto XY=\sqrt{196+36}[/tex]
[tex]\\ \rm\longmapsto XY=\sqrt{232}[/tex]
[tex]\\ \rm\longmapsto XY=15.2[/tex]
3(x+12)-2=10 Hope you can answer this for me. Thank you so much and have a good day .
Help asapShape A is congruent to shape ____because a 180° rotation about the origin and then a translation unit(s) right maps shape A onto it.
Shape B is congruent to shape____ because a 90° clockwise rotation about the origin and then a translation unit(s) left maps shape B onto it.
Answer:
Shape A is congruent to shape D and has been translated 2 units to the right
Shape B is congruent to shape E and translated 1 unit to the left.
Step-by-step explanation:
Shape A is congruent to shape D and has been translated into 2 units to the right, and shape B is congruent to shape E and translated into 1 unit to the left.
What is geometric transformation?It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
It is given that:
The shapes are given in the picture.
From the definition of congruency; congruent figures are those that are exactly the same size and shape. Congruent is represented by the symbol ≅.
Form A has been translated into two units to the right and is congruent with shape D.
Form B is translated one unit to the left and congruent to shape E.
Thus, shape A is congruent to shape D and has been translated into 2 units to the right, and shape B is congruent to shape E and translated into 1 unit to the left.
Learn more about the geometric transformation here:
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HELP ME PLEASE ASAP!
Answer:
second option
Step-by-step explanation:
Pythagoras for right-angled triangles :
c² = a² + b²
c is the Hypotenuse, the line opposite of the 90 degree angle.
a and b are the other 2 sides.
the distance between 2 points is the Hypotenuse of a right-angled triangle of the coordinate differences in x and y.
so, we have (-2, -3) and (3, 2)
distance² = (x1 - x2)² + (y1 - y2)² = (-2 - 3)² + (-3 - 2)² =
= (-5)² + (-5)² = 25 + 25 = 2×25 = 50
distance = sqrt(50) = sqrt(2×25) = 5×sqrt(2)
dentify the error in finding the distance between A(6,2) and B(1,−4).
Name two rays shown in the figure
Answer:
There are only 1 ray because a ray only has 1 side that has a little tiny ball
Step-by-step explanation:
x =
10
6
5
help please
Answer:
10
Step-by-step explanation:
2+3=5
5+4=9
the blank in the circle must be more than 10
The first term of an A.P. is unity and the common difference is 4, which of the following will be a term of this A.P. (a ) 4551 (b ) 10091 ( c ) 7881 ( d ) 13531
Answer:
c
Step-by-step explanation:
first term=1
common d=4
nth term=a+(n-1)d
7881=1+(n-1)4
7881=1+4n-4
7884=4n
n=1971
Starting with n = 0, the n-th term in the sequence is
4n + 1
so any number in the sequence must have a remainder of 1 when divided by 4.
We have
4551 = 1137×4 + 3
10091 = 2522×4 + 3
7881 = 1970×4 + 1
13351 = 3382×4 + 3
-3/10q - 8/5q + 9 = 10
Solve for q
Answer:
-1 9/10
Step-by-step explanation:
-3/10q - 8/5q + 9 = 10
-3/10q - 16/10q + 9 = 10
-19/10q + 9 = 10
-19/10q = 1
-19 = 10q
-19/10 = 10q/10
-1 9/10 = q
Rebecca bought a square rug for her office. If the area of the rug is 65ft estimate the side length of the rug to the nearest tenth.
Answer:16.3 ft
Step-by-step explanation:
The estimated value of the side length of the square rug is : 8.062 feets
Given that the area of the square rug = 65 ft²
Recall :
Area of a square = s²
Where, s = side length
Therefore,
Area of rug = s²
65 ft² = s²
65 = s²
Square both sides
√65 = s
8.062 = s
The estimated side length of the rug is 8.062 feets.
Learn more : https://brainly.com/question/1658516?referrer=searchResults
There are 75 boys, 60 girls and 15 teachers at a kindergarten.
What is the simplest ratio of boys to girls to teachers?
Answer:
boys:girls:teachers
5 : 4 :1
Step-by-step explanation:
75 boys, 60 girls and 15 teachers
boys:girls:teachers
75 : 60 :15
Divide each term by 15
75 /15 : 60/15 :15/15
5 : 4 :1
make a factor tree for 24
Step-by-step explanation:
24
^
2 12
^
2 6
^
3 3
^
3 1
Therefore its 2,2,3,3
Function n represents a cubic function that passes through the points (-1,0) and (0,2).
Which statement is true?
Answer: B
Step-by-step explanation:
y-intercept of m is -6
y-intercept of n is 2
Since -6 < 2:
A: false
B: true
C: false
D: false
Does the graph represent a function? Khan Academy
Answer:
yes
Step-by-step explanation:
try using a vertical line, if you move the vertical line across the graph and the line touches the graph only at one point, than it means it is a function
Answer:
This graph represents a function
Step-by-step explanation:
By its definition, a function is a relation or a correlation between two sets (groups) of values where every input corresponds to only one output. What this means is that every input in a function can only have one output. This characteristic results in a unique property in the graph of a function, that is, the verticle line test. The verticle line test states that when one draws a line through the graph of a function, the line can only intersect the graph in exactly one place in the function. If the line intersects the graph in more than one place, then the graph does not represent a function. In the given situation, any verticle line drawn on the graph only intersects the graph in one place, thus the graph represents a function.
-6 + 3a - b - 4a + 4b + 5
Step-by-step explanation:
hope this may help you tq have a nice day
Find the prime factorization of the greatest
3-digit number
Answer:
3,3,3,37
Step-by-step explanation:
The greatest 3 digit number is 999
How would I get the answers to 9-14?
Answer:
9. 38
10. 19
11. 91
12. 89
13. 110
14. 109
Step-by-step explanation:
A line (PT) is always a total of 180 degrees and QVR = RVS (given) so let x = QVR then
PVQ + QVR + RVS + SVT = 180
72 + x + x + 70 = 180
72 + 2x + 70 = 180
2x = 180 - 72 - 70
2x = 180 - 142
2x = 38
x = 19
so
9. QVS = QVR + RVS = 2x = 19 + 19 = 38
10. QVR = x = 19
11. PVR = PVQ + QVR = 72 + 19 = 91
12. TVR = TVS + SVR = 70 + 19 = 89
13. PVS = PVQ + QVR + RVS = 72 + 19 + 19 = 110
14. TVQ = TVS + SVR + RVQ = 70 + 19 + 19 = 109
the solution for 3x-5=2x+3-(x-4)
Answer:
3x-5=2x+3-(x-4)
first deal with the bracket first. multiply -1 by x and -4.
3x-5=2x+3-x+4
group like terms that is sort them according to the letters.
3x+x-2x=3+4+5
4x-2x=12
2x=12.divide both sides by 2.
2x=12
2 2
x=6
Find all of the missing angles - a, b, c, and d.
Answer:
a. 65 degree
B. 25 degree
c. 25 degree
d. 75 degree
Step-by-step explanation:
shown in photo.
Mark me brain list if it help you
Answer:
a = 65°
b = 25°
c = 25°
d = 75°
Step-by-step explanation:
60 + a + 55 = 180 (Angles of a straight line)
a + 115 = 180
a = 180 - 115
a = 65°
a + b + 90 = 180 (Interior angles of a triangle add up to 180°)
65 + b + 90 = 180
b + 155 = 180
b = 180 - 155
b = 25°
b = c (Vertically opposite angles are equal)
c = 25°
d + 15 = 90 (Complementary angles)
d = 90 - 15
d = 75°
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Peace!measure at least pairs of corresponding angles in XJYN and ZSCH using a protractor. Record your measurements to the nearest 5. what do you notice?
Answer:
any file to have a reference?
if anyone can answer the first 5 questions please
Step-by-step explanation:
steps are in picture above.
Note:if you need to ask any question please let me know.
Joy drinks 4 bottles of water per day. Each bottle contains
16.5 fluid ounces. How many fluid ounces of water does
she drink per day?
a) 66 fluid ounces
b) 68 fluid ounces
c) 660 fluid ounces
d) 680 fluid ounces
Answer:
A) 66
Step-by-step explanation:
I have no explanation to this but hope it's help
Answer:
a) 66 fluid ounces
Step-by-step explanation:
it's easy
all you have to do is multiply the amount of bottles Joy drinks in a day (in this case 4) with the amount of fluid ounces contained in each bottle she's drinking (in this case 16.5)
so in other words
4 x 16.5 = 66
Find the measure(s) of the interior angles of the polygon.
Answer:
X = 57
3x-6 = 165
Step-by-step explanation:
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BRAINLIEST FOR THE RIGHT ANSWER! THANKS! Indicate in standard form the equation of the line through the given points, writing the answer in the equation box below.
P (0, -4), Q (5, 1)
Answer:
- X + Y = -4 is the standard form
Y =1X -4 is the slope intercept form
Step-by-step explanation:
x1 y1 x2 y2
0 -4 5 1
(Y2-Y1) (1)-(-4)= 5 ΔY 5
(X2-X1) (5)-(0)= 5 ΔX 5
slope= 1
B= -4
Y =1X -4
If 35 = 5x, then 9 - 7x = ?
Answer:
Since 35/7=5, 5x7=35.
So x=7.
9-7=5
5x=35
The total length of the stage is 76 feet. An actor starts at point A then stops at point B before disappearing through the trap door. How far does he walk across the stage?
Answer:
since the distance from the outside edges is 26 1/2 feet, divide that by 2 to get the distance from the center to the edge ( 26 1/2 / 2 = 13 1/4 feet)
the stage is 76 feet so divide that by 2 to find the center 76/2 = 38 feet
now subtract the 13 1/4 from 38
38 - 13 1/4 = 24 3/4 feet from the side of the stage to the edge of the trap door
a little easier way would be to subtract the 26 1/2 from 76 and then divide by 2
76-26 1/2 = 49 1/2 / 2 = 24 3/4
Step-by-step explanation:
https://brainly.com/question/4710320?referrer=searchResults
what is -x when x= -3
( Evaluate the following expression)
\*/ Algebra 1 \*/ [Algebraic Expressions]
Maggie needs to spend at least six hours each week practicing the piano. She already practiced 3 1/4 hours this week. She wants to split the remaining practice time evenly between the last two days of the week. Which inequality best determines the minimum number of hours she needs to practice on each of the two days.
Answer:
Let X equal the remaining time she needs to practice.
You would have 2x
The combined total needs to be 6 hours or greater.
You need to add the amount she already practiced to 2x.
Now you have: three and one fourth + 2x
This needs to be greater than or equal to 6.
Ans:- three and one fourth + 2x ≥ 6