Answer: -13 + 10i
Step-by-step explanation: ((-6) + (2 * i)) - (7 - (8 * i)) = -13+10i
-4 times a number plus 29
Step-by-step explanation:
Let the number be x, then
-4(x+29)
The equations below has been solved. What properties were used to justify how this equation
was solved? Fill in the appropriate property of equality on the line provided. Addition(APE),
Subtraction(SPE), Multiplication(MPE), and Division(DPE)
Answer:
Step-by-step explanation:
APE - adding 8 on both sides (first line)
DPE - dividing by 7 on both sides (second line)
can write a quadratic function given key features in the form of ordered pairs
12: Write an equation of each quadratic function, in vertex form, with the given vertex and point
a) Vertex at (1.2) and passes through the point (3.4)
b) Vertex at (-5, -1) and passes through the point (6.3)
Answer:
ANSWER IS BELOW
Step-by-step explanation:
f
(
x
)
=
−
1
2
x
2
+
3
x
−
1
2
Explanation:
A quadratic function can be written in vertex form as:
f
(
x
)
=
a
(
x
−
h
)
2
+
k
where
(
h
,
k
)
is the vertex and
a
is a constant multiplier.
In our example the vertex
(
h
,
k
)
is
(
3
,
4
)
, so we can write:
f
(
x
)
=
a
(
x
−
3
)
2
+
4
Given that this passes through the point
(
1
,
2
)
, we must have:
2
=
a
(
1
−
3
)
2
+
4
=
4
a
+
4
Subtract
4
from both ends to get:
−
2
=
4
a
Divide both sides by
4
and transpose to find:
a
=
−
1
2
So our quadratic function can be written in vertex form as:
f
(
x
)
=
−
1
2
(
x
−
3
)
2
+
4
We can multiply this out and simplify as follows:
f
(
x
)
=
−
1
2
(
x
−
3
)
2
+
4
f
(
x
)
=
−
1
2
(
x
2
−
6
x
+
9
)
+
4
f
(
x
)
=
−
1
2
x
2
+
3
x
−
9
2
+
4
f
(
x
)
=
−
1
2
x
2
+
3
x
−
1
2
2. What might be a problem with using interval lengths that are too small?
A major problem with interval lengths that are too small is that it masks the shape of the distribution.
The interval length used in a distribution may be described as the size of the class or the class width. The interval length is usually important when drawing histograms and other related graphs for a grouped distribution.
The most significant effect of using a class interval which is too small is that it masks the actual shape of distribution, Hence preventing it from being distinct.
For best practice, it is essential that the class interval is of moderate width, hence enabling us to have a distribution which isn't maksed nor exaggerated.
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Each polygon is divided into a number of triangles. Find the number of triangles if the number of sides in a polygon is: (a) 6
Answer:
4 triangles
Step-by-step explanation:
the number of triangles in a polygon is (the number of sides in the polygon - 2)
The number of triangles inside a polygon with six sides are 4.
What is a polygon? What is a mathematical function, equation and expression? polygon : A polygon can be defined as a flat or plane, two-dimensional closed shape bounded with straight sides.function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that the number of sides in a polygon is 6.
If the polygon has {n} sides, then the number of triangle in a polygon is → (n – 2).For n = 6, the number of triangles would be - (6 - 2) = 4Therefore, the number of triangles inside a polygon with six sides are 4.
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complete the square to find the vertex of the parabola.
Answer:
Step-by-step explanation:
[tex]y^2+6y+8x+1=0\\\\y^2+2*3y+9+8x+1-9=0\\(y+3)^2+8x-8=0\\8x=-(y+3)^2+8\\\\x=-\dfrac{(y+3)^2}{8}+1 \\Vertex=(1,-3)[/tex]
The vertex is (1,-3).
To find the the vertex of the parabola.
What is parabola?A symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side.,
Given that:
[tex]y^{2} +6y+8x+1=0\\\\y^{2} +2*3y+8x+1+9-9=0\\\\(y+3)^{2}+8x-8=0\\\\8x=-(y+3)^{2}+8\\\\x=-\frac{(y+3)^{2}}{8} +1\\\\vertex=(1,-3)\\[/tex]
So, the vertex is (1,-3).
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-1/6(2x + 12) = 1/3x + 12
A rectangular field, 360 m of length and 150 m of width, is divided in smaller square-size plots. The area of each of these plots is the biggest possible. What is the length of the side of a square plot?
Answer:
60
Step-by-step explanation:
Greatest common factor of 360 and 150 is 30
that means one side of square-size plots will be 30 m
our total area is 360x150
area of square-size plot is 30x30
360x150/30x30 = 12x5 = 60
¿Que tiempo se tardara en escucharse el retumbo de un volcan situado a 58km?
Answer:
How long will it take to hear the rumbling of a volcano located 58km away?
Step-by-step explanation:
What is the solution to the system of equations?
[tex]Helppppp0p00pppp[/tex]
Answer:
Step-by-step explanation:
If Anna's dad is 36 and is 9 times her age, then Anna's age is 36/9 which is 4.
Check yourself: Anna is 4. Her dad is 9 times her age and 4(9) = 36.
Divide. 9x4−12x3+103x2+2
Answer:
208
Step-by-step explanation:
The division result is: Quotient: [tex]3x^2 + 9x^2 - 107x^2[/tex], Remainder: -33 Here's the polynomial division step by step: [tex]3x^2 + 1 | 9x^4 - 12x^3 + 103x^2 + 2[/tex]
Step 1: Divide the highest degree term of the dividend by the highest degree term of the divisor:
[tex]3x^2 + 1 | 9x^4 - 12x^3 + 103x^2 + 2[/tex]
[tex]9x^4 + 3x^2[/tex]
---------------
[tex]-12x^3 + 103x^2[/tex]
Step 2: Multiply the divisor by the result from step 1 (3x^2 + 1) and subtract the result from the dividend:
[tex]3x^2 + 1 | 9x^4 - 12x^3 + 103x^2 + 2\\[/tex]
[tex]9x^4 + 3x^2[/tex]
---------------
[tex]-12x^3 + 103x^2[/tex]
[tex]-12x^3 - 4x^2[/tex]
---------------
[tex]107x^2 + 2[/tex]
Step 3: Divide the highest degree term of the new dividend (107x^2) by the highest degree term of the divisor (3x^2), and perform the division:
[tex]3x^2 + 1 | 9x^4 - 12x^3 + 103x^2 + 2[/tex]
[tex]9x^4 + 3x^2[/tex]
---------------
[tex]-12x^3 + 103x^2[/tex]
[tex]-12x^3 - 4x^2[/tex]
---------------
[tex]107x^2 + 2 \\ 107x^2 + 35[/tex]
-------------
-33
Since the result (-33) has a lower degree than the divisor (3x^2 + 1), we can't proceed with further division.
So, the division result is:
Quotient: [tex]3x^2 + 9x^2 - 107x^2[/tex]
Remainder: -33
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Correct Question is:
Divide [tex](9x^4 - 12x^3 + 103x^2 + 2)\ by \ (3x^2 + 1)[/tex]
Which of the following is a value of r for which (r + 2)(r − 3) = 0?
6
0
−2
−3
−6
Hi ;-)
[tex](r+2)(r-3)=0\\\\r+2=0 \ \vee \ r-3=0\\\\\boxed{r=-2} \ \vee \ \boxed{r=3}[/tex]
Answer:
r = -2 , 3
Step-by-step explanation:
(r + 2)(r -3) = 0
r + 2 = 0 ; r - 3 = 0
Subtract 2 from both sides ; add 3 to both sides
r = -2 ; r = 3
r = -2 , 3
Which of the following expressions is equivalent to the one shown below?
(43)5
O
48
19
e
C. 42
o
D. 415
SUBMI
Answer:
The choose D. 4¹⁵
I hope I helped you^_^
help help help help help
Answer:
Reflect over the line x = 1
Step-by-step explanation:
ΔA'B'C' is the mirrored of ΔABC
But the reflection is over x = 1, because there is 3 units between the triangle and the line.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
The tape diagram represents an equation.
Write an equation to represent the image.
(I hope im not asking for too much ;-;)
6t=9
Since the top tape diagram has 6 parts and labeled t (The same size as the bottom diagram), we multiply it, so: 6xt= 6t. 9 is the label of the bottom diagram. That means there are the same or equal to each other.
I hope I've helped!
Find the value of x.
Answer:
Step-by-step explanation:
Those two angles are equal. They are corresponding angles. In two parallel lines crossed by a transversal. 8 angles are produced. 4 have one value and the other 4 are supplementary to the first four.
These 2 are part of the first group of 4.
So 12x - 8 = 104
12x - 8 + 8 = 104 + 8
12x = 112
x = 9 1/3
put the following equation of a line into slope intercept form simplifying all fractions 5x + 2y = -6
Answer:
The general equation of a slope-intercept form is as below;
[tex]y = mx + c[/tex]
m » slope / gradient
c » y - intercept
x » x - intercept
Since our equation is 5x + 2y = -6, make y the subject:
[tex]5x + 2y = - 6 [/tex]
subtract 5x from either sides:
[tex](5x + 2y) - 5x = - 6 - 5x \\ 2y = - 5x - 6[/tex]
apply the division rule of equality:
[tex] \frac{2y}{2} = \frac{ - 5x}{2} - \frac{6}{2} \\ \\ { \boxed{ \boxed{answer : \: y = - \frac{5}{2} x - 3}}}[/tex]
slope » -5/2
y - intetcept » -3
convert 0.2 kg into mg
Answer:
The answer is 200000 milligrams
Hope that helped you
find the 7th term of the number pattern of general term 5n-4
Answer:
Step-by-step explanation:
n = 7 so it is:
5(7) - 4
= 35 - 4
= 31.
Find the constant of proportionality (r) in the equation y=rx
Answer:
r = [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Given the proportional equation
y = rx ← r is the constant of proportion
Divide both sides by x
[tex]\frac{y}{x}[/tex] = r
Use any ordered pair from the table.
Using (8, 2 ) , then
r = [tex]\frac{2}{8}[/tex] = [tex]\frac{1}{4}[/tex]
Answer:
1/4
Step-by-step explanation:
Multiplying the input (x) by (1/4) results in the output. This is direct proportion, and the constant of proportionality is (1/4).
Help me get the anwser to this Equation
Answer:
The answer depends on x.value
Step-by-step explanation:
I. It's linear equation
y = mx + b
when y is output, x is input, m is slope and b is addition
So if x = -1
y = -4/3(-1) - 2
= 4/3 - 2
= (4-6)/3
y = -2/3
It will be something like this (-1, -2/3) when -1 is x.value, -2/3 is y.value
You can given x.value be anything like 0, 1, 2, 3 the graph will be like this
(Picture is only example)
i need help ;^; please
Answer:
[tex] \sqrt{5hk} \times \sqrt{10 {h}^{4}k } \\ = \sqrt{5hk10 {h}^{4} k} \\ \sqrt{50 {h}^{5} {k}^{2} } \\ thank \: you[/tex]
150h^5k^2
hers the answer
Please help me I don’t understand
Answer:
Step-by-step explanation:
Answer 10 inches
To find how many inches will equal 25 miles on the the map use the info they have already given u.
4in=10
8in=20
10in=25
How do you write 42/25 as a percentage
Answer:
It is 1.68 so 168%
Step-by-step explanation:
The difference of x and 4
Answer:
x — 4
Step-by-step explanation:
Difference means subtraction, so x — 4 is the expression for your question.
What is (f + g)(x)? f(x) = -5x + 3 g(x) = -3x? Write your answer as a polynomial or a rational function in simplest form.
Answer:
- 8x + 3
Step-by-step explanation:
(f + g)(x)
= f(x) + g(x)
= - 5x + 3 + (- 3x)
= - 5x + 3 - 3x ← collect like terms
= - 8x + 3
Currently, you have made
78, 83, and an 80 on your tests in math. What do you need to make on the next test in order to get an average of an 82?
Answer:
87
Step-by-step explanation:
Mean(or average) = 82
let 'x' be the last test marks
Sum of marks of tests/Number of tests = Mean
(78 + 83 + 80 + x)/4 = 82
241 + x = 82 × 4
241 + x = 328
x = 328 - 241
x = 87
Find the coordinate of the other endpoint if the midpoint is (5,5) and the endpoint is (-4,1)
No imagine or photos, just the question their is!
Answer:
p(14,9)
Step-by-step explanation:
steps are in picture.
Note: if you have any question about it you can ask.
Select all numbers that will round to 600 when rounded to the nearest hundred.
550
575
596
602
667
Answer:
550, 575, 596, 602
Answer:
Anything greater or equal to 550 will be rounded to 600
and anything less than 650 will be rounded to 600,
So the numbers are:-
550
575
596
602