Answer:
[tex](x - y + 2) \times (x + y - 2)[/tex]
Step-by-step explanation:
[tex] {x}^{2} - {y}^{2} + 4y - 4[/tex]
➡️ [tex] {x}^{2} - ( {y}^{2} - 4y + 4)[/tex]
➡️ [tex] {x}^{2} - (y - 2 {)}^{2} [/tex]
➡️ [tex](x - (y - 2)) \times (x + (y - 2))[/tex]
➡️ [tex](x - y + 2) \times (x + y - 2)[/tex]
What is the radius of a circular piece of paper whose circumference is 11
Answer:
well the circumference is the area of the circle so if you know the diameter then you divide that number by 2
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
To know more about division :
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Correct Question is:
Divide [tex](9x^4 - 12x^3 + 103x^2 + 2)\ by \ (3x^2 + 1)[/tex]
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
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
which postulate or theorem, if any, could you use to show the two triangles are congruent?
Answer:
ASA theorum
Step-by-step explanation:
we are given 1 side and 1 angle, other angle is vo of it corresponding equal angle
Consider right angle triangle PQR below Which expressions are equivulant to tan R
We know
[tex]\\ \sf\longmapsto tan\theta=\dfrac{Perpendicular}{Base}[/tex]
P is right angle .If R be theta then PQ be perpendicular and PR be Base[tex]\\ \sf\longmapsto tan(<R)=\dfrac{PQ}{PR}[/tex]
The expressions are equivalent to tan R = PQ / PR. Where PQ is perpendicular, and PR is the base.
What is a right-angle triangle?It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
The triangle PQR is given,
∠R=90°
As we know that the tangent is the ratio of the perpendicular and base.
Geometry is defined as the branch of mathematics that is concerned with the size, shape, and orientation of two-dimensional figures.
When P is right-angled and R is theta, PQ is perpendicular, and PR is the base if P is right-angled.
tanθ=P/B
tanR=PQ / PR.
Thus, the expressions are equivalent to tan R = PQ / PR. Where PQ is perpendicular, and PR is the base.
Learn more about the right-angle triangle here:
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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.
-4 times a number plus 29
Step-by-step explanation:
Let the number be x, then
-4(x+29)
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.
Learn more : https://brainly.com/question/19473137
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)
what is the answer to 15 and 18? pls help it will mean a lot:)
Answer and Step-by-step explanation:
15. [tex]-\frac{27}{20}[/tex] or [tex]-1\frac{7}{20}[/tex]
-1.35 = -135/100 = [tex]-1\frac{35}{100}[/tex] (Mixed number)
Multiply the number by 100, then divide the number by 100 (but keep it in fraction form).
-1.35 x 100 = -135
[tex]-\frac{135}{100}[/tex] = [tex]-\frac{27}{20}[/tex]
(Mixed Fraction = . To check, multiply the 20 by the 1, then add 7, to get -27/20)
18. [tex]\frac{49}{11}[/tex] or [tex]4\frac{5}{11}[/tex]
4.45 = 49/11 = [tex]4\frac{5}{11}[/tex]
4.4545.....
Multiply the number by 100 (because there is 2 numbers being repeated.
445.4545....
Now subtract by the original number.
445.4545....
- 4.4545....
441.00
Write this as an equation:
(100 x fraction) - fraction = 441 (100 x fraction) - fraction = 99 x fraction
99 x fraction = 441 (Divide both sides by 99)
fraction = [tex]\frac{441}{99}[/tex] (which simplifies down to [tex]\frac{49}{11}[/tex])
#teamtrees #PAW (Plant And Water)
I would like to know how to solve these sort of questions
Answer:
Step-by-step explanation:
10) First find the capacity of the swimming pool.
Volume of the swimming pool= length * depth *width
= 15 * 1.5 * 5
= 112.5 cubic meter
1 cubic meter= 1000 liters
112.5 cubic m = 112.5* 1000 = 112,500 liters
Quantity of salt added to every 10 000 liters = 2 Kg
Quantity of salt added to 112,500 liters = [tex]\dfrac{2}{10000}*112500[/tex]
= 22.5 Kg
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
You plan to cut a board into 3 pieces to repair part of a railing. You are going to cut the two ends of the board off into two equal pieces that are 3.4 feet long, if the remaining piece needs to be 2.35 times longer than the each of the first two cuts what length board should you buy? Round to the nearest tenth. PLZZZ HELPP!!!!
Let's assume that the original length of the piece of board is L.
Now you cut two pieces that are 3.4 ft long, so the remaining piece of board is:
L - 3.4ft - 3.4ft = L - 6.8ft long.
Now we know that the remaining must be 2.35 times longer than the pieces of 3.4 ft, then we have the equation:
( L - 6.8ft) = 2.35×3.4ft
solving that for L we get:
L = 14.79ft
Rounding to the nearest tenth, we get:
L = 14.8ft
You should buy a piece of board that is 14.8 feet long.
If you want to learn more, you can read:
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How do you write 42/25 as a percentage
Answer:
It is 1.68 so 168%
Step-by-step explanation:
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
what’s is the area pls pls
Answer:
Step-by-step explanation:
Area of the rectangle = length * width
= (9x - 2)(2x + 5)
Use FOIL method
= 9x*(2x) + (9x)*(5) + (-2)*(2x) + (-2)*5
= 18x² + 45x - 4x - 10 {Combine like terms}
= 18x² + 41x - 10
[tex]\sqrt{\frac{36}{169}}[/tex]
and I'm like,... Sorry wut?,... help please!
[tex] \implies \sqrt{ \dfrac{36}{169} } [/tex]
[tex] \implies \sqrt{ \dfrac{6 \times 6}{13 \times 13} } [/tex]
[tex] \implies \sqrt{ \dfrac{ {6}^{2} }{ {13}^{2} } } [/tex]
[tex] \implies \sqrt{ \left(\dfrac{ {6} }{ {13} } \right)^{2} } [/tex]
[tex] \implies {\left(\dfrac{ {6} }{ {13} } \right)^{2 \times }}^{ \frac{1}{2} } [/tex]
[tex] \implies \left(\dfrac{ {6} }{ {13} } \right)[/tex]
This is your answer.
The answer is 6/13 sq rt of 36 is 6 and sq rt of 169 is 13.
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
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
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.
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
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
[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.
krishna bought a mobile phone for Rs10,000 and sold it at Rs. 12,000. Find his grain or loss %
Answer: The profit percent is 20%
Step-by-step explanation:
CP = Rs 10,000
SP = Rs 12,000
so
Profit% = (12,000-10,000)/10,000 * 100%
= 2,000/10,000 * 100%
= 1/5 * 100%
= 20%
Answer:
2000 gain
Step-by-step explanation:
convert 0.2 kg into mg
Answer:
The answer is 200000 milligrams
Hope that helped you
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
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).
A recipe that can make 8 jumbo blueberry muffins calls for 1 1/2 teaspoons of baking powder. How much baking powder is needed to make 3 dozen jumbo muffins?
Please make it simple
1 dozen = 12
3 dozen = 3 x 12 = 36
36/8 = 4.5
They need 4.5 times the amount:
4.5 x 1.5 teaspoons = 6.75 teaspoons ( 6 3/4)
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!