Add and write the result in the form a+bi. a. (4 + 2i) + (-6 - 7i)
Answer:
- 2 - 5i
Step-by-step explanation:
Given
(4 + 2i) + (- 6 - 7i) ← remove the parenthesis
= 4 + 2i - 6 - 7i ← collect like terms
= - 2 - 5i
True or false: Most proofs in geometry are called direct proofs because theorems and postulates are used to prove a statement using a direct approach
Answer:
The statement is true
Step-by-step explanation:
Most proofs are direct proofs becaue theorums & postulates prove them true straightforwardly :)
What does 8-2(y+4)=1/2(8y-12) equal?
y = 1
8-2y - 8 = 4y - 6
-2y = 4y - 6
-6y = -6
y = 1
Answer:
Step-by-step explanation:
8 - 2y - 8 = 4y - 6
-2y = 4y - 6
6y = -6
y = -1
Which is the correct classification of StartRoot 32 EndRoot? irrational number, nonrepeating decimal irrational number, terminating decimal rational number, nonrepeating decimal rational number, terminating decimal
Answer:
its A i got you
Step-by-step explanation:
The correct classification of [tex]\sqrt{32}[/tex] is it is an irrational number.
What is a perfect square number?A perfect square number when taken the square root of it results in an integer.
Numbers that are not perfect squares when taken the square root of it are irrational numbers.
One method of obtaining square roots for perfect squares is prime factorization.
We know if a number is not a perfect square it is an irrational number.
[tex]\sqrt{32}[/tex] can be written as [tex]\sqrt{2\times2\times2\times2\times2[/tex] which is [tex]2^2\sqrt{2}[/tex].
= [tex]4\sqrt{2}[/tex] and [tex]\sqrt{2}[/tex] is not a perfect square so it is an irrational number.
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If the diameter of a circle is 18 feet, which is closest to the circumference?
A. 56 52 feet
B. 9 feet
C. 573 feet
D. 28 26 feet
Answer:
A. 56 52 feet
Step-by-step explanation:
[tex]d = 18 \: ft \\ c = \pi \: d \\ c = 3.14 \times 18 \\ c = 56.52 \: ft[/tex]
The closest to the circumference is 56 52 feet.
It is required to find the circumference.
What is circle?A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”. The perimeter around the circle is known as the circumference.
Given:
Diameter of a circle is 18 feet.
Radius=18/2=9 feet.
We know that
circumference of the circle= 2πr
According to given question we have,
circumference of the circle= 2πr
circumference of the circle=2 π*9
circumference of the circle=56.54 feet.
Therefore, the closest to the circumference is 56 52 feet.
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01:38:56
What is the scale factor of a triangle with a vertex of A(-6, 4) that has been dilated with a center of dilation at the origin so
the vertex of its image is A'(-24, 16)?
Answer:
Answer: The scale factor of the triangle is 4
Step-by-step explanation:
(8.91 times 10 Superscript 2 Baseline) (3.3 times 10 Superscript 12 Baseline)
Answer:
2.9403×10^15
Step-by-step explanation:
Your calculator can work this out for you.
[tex](8.91\times10^2)(3.3\times10^{12})=(0.891\times10^3)(3.3\times10^{12})\\\\=(0.891\times3.3)(10^{3+12})=\boxed{2.9403\times10^{15}}[/tex]
__
The applicable rule of exponents is ...
(10^a)(10^b) = 10^(a+b)
__
Additional comments
You can keep a product the same if you divide one factor by 10 and multiply the other factor by 10:
8.91×10² = (8.91/10)(10×10²) = 0.891×10³
I like to "pre-scale" the numbers in a problem like this so that the product comes out in scientific notation with no adjustment needed. That is, the product of the two mantissas is a number between 1 and 10.
Here, you can tell the product of 8.91 and 3.3 will be more than 24, so scaling will be necessary. It is convenient to scale the larger mantissa to be less than 1 so the product comes out less than 10. That is why we made it 0.891×10³.
Answer:
2.9403×10^15
Step-by-step explanation:
i took the unit test
Answer ASAP Which is a y-intercept of the continuous function in the table? (5, 0) (0, 1) (0, 5) (1, 0)
Answer:
(0, 5 )
Step-by-step explanation:
The y- intercept is where the function crosses the y- axis.
This occurs when x = 0 , thus
From the table when x = 0 , f(x) = 5 , thus
y- intercept is (0, 5 )
y- intercept is (0, 5 )
slope of points (2,3) and (-4,12)
Answer:
[tex]\huge\boxed{slope=-\dfrac{3}{2}}[/tex]
Step-by-step explanation:
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points (2, 3) and (-4, 12).
Substitute:
[tex]m=\dfrac{12-3}{-4-2}=\dfrac{9}{-6}=-\dfrac{9:3}{6:3}=-\dfrac{3}{2}[/tex]
find the midpoint of H(6,7) I(-7,-6)
Step-by-step explanation:
um that's hard djrjrjrjjre
Answer:
(- [tex]\frac{1}{2}[/tex], [tex]\frac{1}{2}[/tex] )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[ [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] ]
Here (x₁, y₁ ) = (6, 7) and (x₂, y₂ ) = (- 7, - 6) , thus
midpoint = ([tex]\frac{6-7}{2}[/tex] , [tex]\frac{7-6}{2}[/tex] ) = ( - [tex]\frac{1}{2}[/tex] , [tex]\frac{1}{2}[/tex] )
Which rules of exponents will be used to evaluate this expression? Check all that apply. StartFraction left-brace (negative 8) Superscript 4 Baseline right-brace Superscript negative 5 Baseline Over (negative 8) Superscript 6 Baseline EndFraction
Answer:
I thin its B
Step-by-step explanation:
I took the quiz. I hope this helps! sorry if it wrong :)
what is the slope intercept form of the equation 15x-4y=32
Answer: y = 15/4 x - 8
Step-by-step explanation:
pls help, this is timed
Answer:
x/2 + 7 = 13 is the answer
Answer: C
Step-by-step explanation: He sold half of his comic, meaning dividing whatever he had by 2. Buying 7 more and it will equal 13.
[tex](\sqrt{2}-3i)(\sqrt{2}-5i)[/tex] plz simplify
Answer:
-5i
Step-by-step explanation:
3y - 9/ < 27?
it’s algebra 2
Answer:
3y-9∫∠27
3y∫∠27-9
3y∫19-1
3y∫19-1
=6
KN bisects ZJKM. If mZNKJ = 7x-9 and
m2JKM = x + 3, find m2JKN.
Answer:
Step-by-step explanation:
7x - 9 = x + 3
6x - 9 = 3
6x = 12
x = 2
7(2) - 9 + 2 + 3
14 - 9 + 5
5 + 5 = 10
Find the perimeter of the polygon with the given vertices Round your answer to the nearest hundredth
Answer:
16.93 units
Step-by-step explanation:
Length of a segment having extreme ends [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by the formula,
d = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
ML = [tex]\sqrt{(4-1)^2+(0-4)^2}[/tex]
= 5 units
LP = [tex]\sqrt{(1+1)^2+(4+2)^2}[/tex]
= [tex]\sqrt{40}[/tex] ≈ 6.32 units
PN = [tex]\sqrt{(-1-2)^2+(-2-0)^2}[/tex]
= [tex]\sqrt{13}[/tex]
≈ 3.61 units
NM = [tex]\sqrt{(4-2)^2+(0)^2}[/tex]
= 2 units
Perimeter of the polygon MLPN = ML + LP + PN + NM
= 5 + 6.32 + 3.61 + 2
= 16.93 units
-9y + 5x - y - 13x
Like terms
Answer:
Step-by-step explanation:
like terms=-9y-y
and 5x-13x
like terms means terms with same variables
Find the midpoint of A(5,8) and B(-9,-6)
The robotics team needs to purchase $350 of new equipment. Each of the students on the team plans to fundraise and contribute equally to the purchase. Which expression represents the amount that each student needs to fundraise? Which expression represents the amount that each student needs to fundraise? Explain your thinking.
Answer:
s = students, m = money they pay
S(M)=350
The expression that represents the amount that each student needs to fundraise is - y = [tex]$\frac{350}{x}[/tex]
We have robotics team who needs to purchase $350 of new equipment.
We have to determine the expression which represents the amount that each student needs to fundraise.
In a class of 50 students, it was asked to collect a total of $3000 for NGO funding. Find the amount contributed by each student assuming they all pay the equal amount.Assume the amount paid by each student be x. Then -
50x = 3000
x = $60
According to the question, we have -
Assume that the number of students in the robotics team are x.
Assume that the money contributed by each member is $y.
Then, the expression represents the amount that each student needs to fundraise is -
xy = 350
y = [tex]$\frac{350}{x}[/tex]
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n/r = b/a solve for a
n/r = b/a
n*a = b*r
a = b*r/n... Hope this will help...
Solve -9(t - 2) = 4(1-15).
Answer:
t = 74 / 9
Step-by-step explanation:
-9(t - 2) = 4(1 - 15)
-9t + 18 = 4 - 60
-9t + 18 = -56
-18 -18
-9t = -74
/-9 /-9
t = 74 / 9
t = 8.22
Answer:
t = 74 / 9 ~= 8.222
Step-by-step explanation:
-9 ( t - 2 ) = 4 ( 1 - 15 )
-9 * t + -9 * -2 = 4 * 1 + 4 * -15
-9t + 18 = 4 + -60
-9t + 18 = -56
-9t = -56 + -18
-9t = -74
t = 74 / 9
Alternatively:
-9 ( t - 2 ) = 4 ( 1 - 15 )
-9 * t + -9 * -2 = 4 ( - 14 )
-9t + 18 = -56
-9t = -56 + -18
-9t = -74
t = 74 /9
Cheers.
Subtract 2/15 from 7/15
please give brainlist
in the way you wrote it the answer would be
1
_ ----
3
but but if you meant to do it backwards 7/15 and 2/15 the answer will 1
-----
3
hope this helped
How much sales tax will be charged at Store B?
Answer: $94.50 is how much sales tax will be charged at store B asumming you are talking about the image attached to this answer, if not could you attach an image?
what is the value of cos 120 degree
Step-by-step explanation:
√3 I think check the answer for sure
Answer:
-0.5
Step-by-step explanation:
edge
6x+2y=12 ( solve for y )
How do I show my work on a piece of paper would help a lot :)
Answer:
y=6-3x
Step-by-step explanation:
factor out common terms 2(3x+y)=12divide both sides by 2
3x+y=[tex]\frac{12}{2}[/tex] simplify 3x+y=6 subtract 3 from both sides
y=6-3x
Solve the following equation for y: ax +by = c
Answer:
[tex]y = \frac{c-ax}{b}[/tex]
Step-by-step explanation:
ax + by = c
subtract ax from both sides
ax + by = c
-ax -ax
=
by = c- ax
divide b on both sides
[tex]\frac{by}{b}[/tex] = [tex]\frac{c- ax}{b}[/tex]
=
[tex]y = \frac{c-ax}{b}[/tex]
Can someone help me??
The variables for this experiment include mass, volume and the materials in the various balls, as well as their densities. In Part II, you will be comparing an inflated football with a deflated one. Use the drop-down menus to complete the sentences and identify the independent and dependent variables. In Part II, the independent variable, the one that is intentionally manipulated, is . (mass,volume,material,density) In Part II, the dependent variable, the one that you measure the response in, is . (mass,volume,matierl,density)
Answer:the first one is volume the second one is density
Step-by-step explanation:I took the test
Answer:
volume and density
Step-by-step explanation:
The value of the expression is
_____?
Answer:
the answer is 86!
hope this helped
Answer:
the answer to your question is 86