Answer:
Always computable as rightmost x value minus leftmost value: 4 - (-8) = 12
Perform the indicated operation and express the result as a simplified complex number in the form a+bi. Do not put any spaces between your characters. If your answer includes a number that is not an integer type it as a decimal rounded to the nearest hundredth.
(3+4i)/(2-i)
simplifies to a+bi where:
A=
B=
9514 1404 393
Answer:
0.40+2.20i
Step-by-step explanation:
To clear the denominator of its imaginary part, multiply numerator and denominator by the conjugate of the denominator.
[tex]\dfrac{3+4i}{2-i}=\dfrac{(3+4i)(2+i)}{(2-i)(2+i)}=\dfrac{6-4+3i+8i}{4+1}=\dfrac{2+11i}{5}\\\\=\boxed{0.40+2.2i}[/tex]
_____
Additional comment
This "multiply by the conjugate" is also used to clear radicals from the denominator. It takes advantage of the factoring of the difference of squares:
(a -b)(a +b) = a² -b²
Can anyone help me with this question?
Answer:
sorry I can't I am too young
Step-by-step explanation:
I scared of exam how do i do
Answer:
.
Step-by-step explanation:
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4.) Mr. Lakey is a taxi cab driver. He earns $5.00 hour plus tips. One week he works 40
hours, receiving $287 in tips. Find his weekly gross income.
Answer:
120$
Step-by-step explanation:
Substance A has 2% alcohol mixture, and substance B has 6% alcohol mixture. To mix substance A and B for a capacity of 60 liters with 3.2% alcohol mixture, how many liters of substance A and B are used each?
Answer:
18 liters of 6% substance B
42 liters of 2% substance A
Step-by-step explanation:
let x be the liters of 6%, the balance of 60 - x liters is the 2% together they make 60 liters of 3.2%
6x + 2(60 - x) = 3.2(60)
distribute
6x + 120 - 2x = 192
Combine like terms
4x = 72
Divide bothsides by 4
x = 18 liters of 6%
60 - x = 42 liters of 2%
Write the equation of the line in Slope-Intercept Form given the information below. Slope =4 Point =(1,−1) slope-intercept form
Answer:
y = 4x + -1/1
-1/1 as a fraction. Down by 1 and right by 1
The equation of line in slope intercept form which is passing through
(1, -1) is y = 4x -5.
What is the slope of line?A slope of a line is the change in y coordinate with respect to the change in x coordinate.
What is the equation of line in slope intercept form?The equation of line in slope intercept form is given by y = mx + c.
According to the given question.
We have
The solpe of the line, m = 4
Also, the point through which the line is passing, [tex](x_{1} , y_{1}) = (1, -1)[/tex]
Since, we know that the equation of line in slope intercept form of the line is given by
y = mx +c
Since, the above line is passing through (1, -1) and the slope is 4.
Therefore,
-1 = 4(1) + c
⇒ -1 = 4 + c
⇒ -1 -4 = c
⇒ c = -5
Substitute the value of m and c in the equation y = mx + c.
⇒ y = mx + c
⇒ y = 4x -5
Therefore, the equation of line in slope intercept form which is passing through (1, -1) is y = 4x -5.
Find out more information about equation of line in slope intercept form here:
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How many times larger is 4 × 1011 than 2 × 106?
Please help me this is due in the morning and I’m not very good at fractions (number two btw)
Answer:
-6, -5
-3, -3
0, -1
3, 1
Step-by-step explanation:
simple question just to lazy to really think about it!
Jose runs 6 miles in 44 minutes. At the same rate, how many minutes would he take to run 9 miles?
Answer:
66 minutes
Step-by-step explanation:
Step 1: Divide 44 minutes divided by 6 miles.
[tex]\frac{44}{6}[/tex] [tex]\frac{22}{3}[/tex] [tex]7\frac{1}{3}[/tex]Step 2: Multiply 9 by 7 1/3.
[tex]9*7\frac{1}{3}[/tex] [tex]9*\frac{22}{3}[/tex] [tex]3*22[/tex] [tex]66[/tex]Therefore, the answer is 66 minutes.
need sever help with number 4 , pls explain
Answer:
1. 35
2. 65
3. 10
4. 115
5. 65
6. 55
7. 125
Step-by-step explanation:
triangles add up to 180 with all 3 sides
Answer:
115°
Step-by-step explanation:
Vertically opposite angles are equal.
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The area of a rectangle is 3/4 square yards. If the width of the rectangle is 3/5, what is the length?
JUST TELL ME HOW TO FIND THE ANSWER
Answer:
Divide 3/4 by 3/5 to get 1 1/4.
Step-by-step explanation:
To find area, you multiply the length by the width. However, they gave you the area and the width. Therefore, you divide the width by the area (I think).
3/4 divided by 3/5 = 1 1/4
The length is 1 1/4.
What is the equation of the line that is perpendicular to
the given line and passes through the point (2, 6)?
110
(216)
-6+
O x = 2
O x = 6
-2-
to 6t 22
6 8 10
х
O y = 2
O y = 6
(-8-4
(84)
-6
-8
10
Answer: what are the choices?
Step-by-step explanation:
Suppose you are given a $1000 graduation gift from your grandparents at age 20. You consult and advisor and decide to invest this money for retirement over the next 45 years in an account that pays 8% interest compounded continuously.What will be the value of this account when you retire in 45 years?
Answer: divide and add
Step-by-step explanation:
Hello! Please answer this ASAP. Thanks!
Answer:
x=3
Step-by-step explanation:
Twenty divided by four is five. You would divide fifteen by five to get three. so X=3.
the $5 are correct but it marked the .75 as wrong
Triangles ABC has vertices A(1,-1) B(1,-5) and C(5,-5). A dilation with a scale factor of 0.25 and true center at (-3,3) is applied to the triangle. What are the coordinates of A’B’C’ in the dilated image?
Answer:
A'(-2, 2)B'(-2, 1)C'(-1, 1)Step-by-step explanation:
For scale factor k and center of dilation (p, q), the transformation is ...
(x, y) ⇒ (kx +(1-k)p, ky +(1-k)q)
For k=1/4 and (p, q) = (-3, 3), the coordinates are transformed to ...
(x, y) ⇒ (1/4x -9/4, 1/4y +9/4)
Then the preimage points are dilated to ...
A(1, -1) ⇒ A'(1/4 -9/4, -1/4 +9/4) = A'(-2, 2)
B(1, -5) ⇒ B'(1/4 -9/4, -5/4 +9/4) = B'(-2, 1)
C(5, -5) ⇒ C'(5/4 -9/4, -5/4 +9/4) = C'(-1, 1)
Parallel Lines
Transform a Trapezoid
Two lines or line segments that are parallel in the preimage will be parallel in the image in a rigid
transformation. Critique the validity of the statement.
Provide evidence that supports this statement or that contradicts it from your investigations using the
Dynamic Geometry Tool.
Answer:
Writing formal proofs to prove conjectures about lines, angles and triangles ... parallel to each other or on the same line—and since the altitudes of both ...
By the Trapezoid Midsegment Theorem, the midsegment of a trapezoid is parallel to each base and its measure is one half the sum of the lengths of the bases.Step-by-step explanation:
Hope this helps
Please helppppppppppppp
equilateral triangle
The first three terms of a geometric sequence are as follows.
2, -8, 32
Find the next two terms of this sequence.
Give exact values (not decimal approximations).
Answer:
-128, 512
Step-by-step explanation:
-8/2 = -4, 32/-8 = -4, so the ratio r = -4. 32*-4 = -128, -128*-4 = 512
Riley and Rhoda plan to buy several bags of dog food and a dog collar. each bag of food cost $7, and the dog collar cost $5.
Answer:
matters on amount of dog food bought
Step-by-step explanation:
12 for 1 bag
19 for 2 bags
26 for 3 bags
33 for 4 bags
x-5/3=1 in the simplest form
[tex]\\ \sf\longmapsto x-5/3=1[/tex]
[tex]\\ \sf\longmapsto x=1+5/3[/tex]
[tex]\\ \sf\longmapsto x=3+5/3[/tex]
[tex]\\ \sf\longmapsto x=8/3[/tex]
Done
[tex]\sf \longmapsto \: x- \dfrac{5}{3} =1[/tex]
Simplify both sides of the equation[tex]\sf \longmapsto \: x + \dfrac{ - 5}{ 3} = 1[/tex]
Add 5/3 to both sides[tex]\sf \longmapsto x + \dfrac{ - 5}{3} + \dfrac{5}{3} = 1 + \dfrac{5}{3} [/tex]
[tex]\sf \longmapsto \: x = \dfrac{8}{3} [/tex]
[tex] \boxed{\sf { \red{ x = \dfrac{8}{3}}} }[/tex]
Anrnav was 1.5m tall in the last couple years his height increased by 20%
How tall is anrav today?
Answer:
1.8 meters
Step-by-step explanation:
It was easy for me
Anyone can help me please angone
Answer:
x is 154 degrees
Step-by-step explanation:
If a line cuts through a set of parallel lines, it is called a transversal.
x and the angle next to 26 degree angle would be corresponding angles.
If a line makes 180 degrees, then x and 26 would have to equal to 180 degrees
x+26 = 180
x = 180-26
x = 154
PLS HELP ME 86 points
Answer:is easy
Step-by-step explanation:
your answers are:
A. 76
B. 35
C. 48
D. 62
E. 77
F. 78
G. 87
H. 67
I. 32
J. 63
K. 72
L. 78
what’s the operation
inverse or reciprocal
p=??
Answer:
The inverse means opposite operation, such as addition and subtraction are inverse operations, whereas the reciprocal refers to the inverse of any value, also called the multiplicative inverse. What is Another Word for Multiplicative Inverse? Reciprocal is another word for the multiplicative inverse.
Step-by-step explanation:
At 6 a.m. the temperature was -9oF. By 11 a.m., the temperature had increased 34oF. What was the temperature at 11 a.m.?
The resulting temperature was 25oF.
math question please help meeee
Answer: what the math question is
Step-by-step explanation:
Answer:
3/4
Step-by-step explanation:
7 plus 5 (painters plus photographers) equals 12. The remaining (4) adds to 16. 12/16 can be simplified to 3/4
Hope it helps
Would appreciate a brainliest