Answer:
ab = 2
Step-by-step explanation:
You know that ...
(a +b)^2 = a^2 +2ab +b^2
Rearranging, we can solve for ab ...
2ab = (a^2 +b^2) -(a +b)^2
ab = ((a +b)^2 -(a^2 +b^2))/2 = (3^2 -5)/2
ab = 2
If polygon ABCD rotates 70° counterclockwise about point E to give polygon A'B'C'D', which relationship must be true? A. BB' = DD' B. m∠ABC < m∠A'B'C' C. m∠ABC > m∠A'B'C' D. A'E' = AE
Answer:
A'E' = AE
Step-by-step explanation:
Transformation is the movement of a point from its initial position to a new position. Types of transformation are rotation, reflection, translation and dilation. If an object is transformed then all its points are also transformed.
Rigid transformations are transformations that preserves the shape an size of an object (i.e. the side length and angles). Examples of rigid transformations are rotation, translation and reflection.
Since rotation is a rigid transformation, the side lengths and angles of polygon A'B'C'D' would be the same as that of polygon ABCD. Therefore:
A'E' = AE
Which fraction is equal to 0.13?
Answer:
13/100
Step-by-step explanation:
0.13 = 13/100
if you need more examples, 26/200, 39/300, 52/400 is all equal to 0.13 as well.
If the graphs of the linear equations in a system are the same line, what does that mean about the possible solution or solutions of the system? А.) There is exactly one solution
B.) There is no solution.
C.) There are infiriitely many solutions
D.) The lines in a system cannot graph the same line.
((PLEASE HELPPP))
What is the length of leg s in the right triangle shown?
Answer:
D. 5
Step-by-step explanation:
Applying,
cos∅ = adjacent/Hypotenuse
From the diagram,
Given: ∅ = 45°, adjacent = s, hyptenuse = 5√2
Therefore,
cos45° = s/5√2
make s the subject of the equation
s = cos45°×5√2
s = (1/√2)(5√2)
s = 5
Hence the right answer is D. 5
URGENT PLEASE HELP WILL GIVE BRAINLEIST !!!!!!!!!!
Answer:
4
Step-by-step explanation:
1 change in x and 4 change in y from 1,0 to 0,4 or 4/1
H. E. L. P. ???!!!!!!
Answer:
C
Step-by-step explanation:
sin x= CB/CA =4/8
......
Which expression is the result of factoring the expression below by taking out its greatest common factor?
4x^2+16x-4=?
Choose 1 answer:
A. 2x(2x^2+8x−2)
B. 2(2x^2+8x−2)
C. 4x(x^2+4x−1)
D. 4(x^2+4x−1)
Step-by-step explanation:
[tex]{\huge{\boxed{\sf{{Hello \: mate (. ❛ ᴗ ❛.) }}}}} \\ \\ {\huge{\underline{\bf{\pink{answer \:✓✓}}}}} \\ \\ \\\blue{Equation = > 4x ^{2} + 16x - 4 } \\ \\\mathcal\blue{ = > greatest \: common \: factor \: is \: 4} \\ \\ {taking \: out \: 4 \: as \: common \: } \\ \\ \huge\mathfrak\red{we \: left \: with} \\ \\ {{\boxed{\sf{\green{D.) 4(x^2 + 4x-1) \:✓✓✓✓}}}}}[/tex]
what is
- l4l equal to?
Answer: -4
Explanation:
Absolute value is the distance that a number is away from zero. Keep in mind that the absolute value is always positive.
However since the negative sign is on the outside of the function , you leave it on the final answer. Therefore the answer is -4
Un arco de 50 m de longitud subtiende un ángulo central θ en un círculo de 35 m de radio. Encuentre la medida de θ.
Answer:
θ = 81.89°
Step-by-step explanation:
Si tenemos un círculo de radio R, el perímetro de este círculo estará dado por:
P = 2*pi*R
donde pi = 3.14
Ahora, si en lugar de el círculo completo solo queremos la longitud de un dado arco, definido por un ángulo θ, el largo de ese arco estará dado por:
L = (θ/360°)*2*pi*R
Notar que cuando θ = 360° (es decir, el ángulo del círculo completo) el largo del arco será igual que el perímetro, lo cual deberíamos esperar.
Ahora sabemos que:
El arco tiene 50m de longitud.
El radio del círculo es 35m
queremos encontrar el valor de θ
Reemplazando esos valores en la ecuación de arriba obtenemos:
50m = (θ/360°)*2*3.14*35m
Ahora solo debemos resolver esto para θ
50m = (θ/360°)*219.8m
(50m/219.8m) = (θ/360°)
(50m/219.8m)*360° = θ = 81.89°
What is the explicit formula for this arithmetic sequence?
-12,-17, -22, -27, ...
Answer:
Step-by-step explanation:
An explicit arithmetic formula in standard form is
[tex]A_n=a_1+d(n-1)[/tex] where n is the position of a number in thesequence, a1 is the first number in the given sequence, and d is the common difference. The common diff here is -5 since we have to subtract 5 from each term to get to the next one in the sequence. The first number is -12. So
a1 = -12
d = -5 and the explicit formula is
[tex]A_n=-12-5(n-1)[/tex] and you could simplify it a bit to
[tex]A_n=-12-5n+5[/tex] and finally to
[tex]A_n=-5n-7[/tex] which is a linear representation. Arithmetic sequences can all be simplified down to represent lines.
simplify (3³ × 3⁴) ÷ 3²
What's The actual length of UV (round to 3 decimal places) ?
Answer:
7.463 cm
Step-by-step explanation:
Use the pythagorean theorem (a^2 + b^2 = c^2) to find the side length of UV.
a^2 + b^2 = c^2
6.1^2 + 4.3^2 = 55.2
Then square root 55.2, which is 7.463 cm
PLEASE ANSWER THIS QUESTION IM BEGGING YOU !
Answer:
5/36
Step-by-step explanation:
There are 12 tiles
P( blue) = blue /total = 5/12
We put the first tile back so there are still 12 tiles in the bag
P(yellow) = yellow/total = 4/12 = 1/3
P( blue, yellow) = 5/12 * 1/3 = 5/36
The Mariana trench, off the coast of Guam in
the Pacific Ocean, is 11 034m deep. Write 11
034 in standard form.
Answer:
11,000 + 30+4
Step-by-step explanation:
Today,high tide measured 5.5 ft and low tide measured 1 ft. What is the amplitude of a cosine function modeling the depth of the water in feet as a function of time in hours
Answer:
[tex]A = 2.25ft[/tex]
Step-by-step explanation:
Given
[tex]High = 5.5ft[/tex]
[tex]Low = 1ft[/tex]
Required
The amplitude (A)
This is calculated as:
[tex]A = \frac{1}{2}(High - Low)[/tex]
So, we have:
[tex]A = \frac{1}{2}(5.5ft - 1ft)[/tex]
[tex]A = \frac{1}{2} * 4.5ft[/tex]
[tex]A = 2.25ft[/tex]
simplify the expression below. Express the simplified expression in standard form (12s^4-6s^2+4s)+(6s^4-4s+27)-(4s^4+s^2+12)
====================================================
Work Shown:
(12s^4-6s^2+4s)+(6s^4-4s+27)-(4s^4+s^2+12)
12s^4-6s^2+4s+6s^4-4s+27-4s^4-s^2-12
(12s^4+6s^4-4s^4)+(-6s^2-s^2)+(4s-4s)+(27-12)
14s^4-7s^2+0s+15
14s^4-7s^2+15
Note: don't forget to distribute the negative to every term in the last parenthesis
What are the real roots of the function in the graph?
Answer:
-1 and 3
Step-by-step explanation:
The real roots of a function are located where the function passes through the x-axis. In this case, the function passes through x=-1 and x=3, making them the real roots of the function.
Write the equation of the line in slope-intercept form
Answer:
y=-1x-4
hope you have a great day
Can someone help me?
Answer:1565
Step-by-step explanation:
tehret
f(x) = xWhat is g(x)?
Answer:
D.
Step-by-step explanation:
I don't really know how to explain this over a computer, but it is correct.
Hope that this helps!
Answer:
compressibility, particle motion, shape
Step-by-step explanation:
just took it
Một xí nghiệp sản xuất độc quyền hai loại sản phẩm. Biết hàm cầu của hai loại sản phẩm trên lần lượt là 1 2 Q 40 2 ; Q 35 D D 1 2 1 2 P P P P và hàm chi phí kết hợp là 2 2 1 1 2 2 1 2 C Q 6Q Q +Q +15Q 150 . Q Trong đó, P,Q 1,2 i i i lần lượt là đơn giá và sản lượng của sản phẩm thứ i . a) (CLO1.3, CLO2.2, CLO4.2) Tìm mức sản lượng của mỗi loại sản phẩm để xí nghiệp có lợi nhuận tối đa. Khi đó, giá bán các sản phẩm là bao nhiêu? b) (CLO1.3, CLO2.2, CLO4.2) Tính chi phí cận biên cho từng loại sản phẩm tại mức tối ưu tìm được ở câu a).
Which are the solutions of x2 = -13x – 4?
Answer:
x=3.75
Step-by-step explanation:
7 √x +4 Is it a polynomial?
Answer:
Phải
Step-by-step explanation:
Question 10(Multiple Choice Worth 1 points) (05.02 LC) Given triangle ABC, which equation could be used to find the measure of B?
Answer:
A. cos m L B = 2√5 /5
Step-by-step explanation:
cos m L B = AB / BC = 6/ 3√5
= 6√5 /15
= 2√5 /5
The cost of a ticket increases by 10% to£18.15
Work out the original cost
Let the original price = x
An increase of 10 % = 18.15
Multiply x by (1 + percent increase) which is 1.1x = 18.15
Now to find x divide both sides by 1.1:
X = 16.50
The original price was 16.50
Answer:
£16.50
Step-by-step explanation:
Let cost price be x
Now, create a formula:
x + 10x / 100 = 18.15
'or'
110x / 100 = 18.15
'or'
x = (18.15*100) / 110
x = 16.5
Find the value of x.
Answer:
Step-by-step explanation:
When two chords intersect inside the circle, the product of their segments are equal.
BE * ED = AE * EC
x *3x = 4 *3
3x² = 12 {Divide both sides by 3}
x² = 12/3
x² = 4
x = √4
x = 2
Answer:
The value of x is 2.
Step-by-step explanation:
We know that , when the two chords are intersect inside the circle, the product of their segment are equal.
So, BE × ED = AE × EC
putting the values
x × 3x = 4 × 3
multiply the values
3 x ² = 12
divide 12 by 3
x ² = 12 / 3
x ² = 4
Taking the square root of 4
x = √4
x = 2
The value of x is 2.
Answer right Brainliest!
Answer:
The right answer is D) If graphed, the ordered pairs would form a straight line
I need help ASAP!! Please.
Answer:
x = 8
Step-by-step explanation:
Please help me i'm struggling!
Answer:
B
Step-by-step explanation:
y = 2x - 4
y + 4 = 2x
x = y/2 + 4/2
x = y/2 + 2
—-
y = x/2 + 2
Answer:
y = x/2 + 2
This is the answer because I got it right on my test.
Solve the system algebraically.
2x + y - 10 = 0
x-y-5=0
What is the value of y?
-5/3
5
Answer:
5 is the value of y
PLZ FRIEND ME!!