Answer:
[tex]-x^2+24x-70[/tex]
Step-by-step explanation:
[tex](x-1)^2+(2-x)^2-3(x-5)*(x-5)\\=> (x - 1)^2 + (2 - x)^2 - 3(x - 5)^2\\=> x^2 - 2x + 1 + 4 - 4x + x^2 - 3(x - 5)^2\\=> x^2 - 2x + 5 - 4x + x^2 - 3(x - 5)^2\\=> x^2 - 6x + 5 + x^2 - 3(x - 5)^2\\=> 2x^2 - 6x+5 - 3(x - 5)^2\\=> 2x^2 - 6x+5 - 3(x^2 - 10x + 25)\\=> 2x^2 - 6x+5 - 3x^2+30x-75\\=> -x^2 - 6x + 5 + 30x - 75\\=> -x^2 + 24x + 5-75\\=> -x^2+24x-70[/tex]
Formula used =
[tex](a-b)^2 = a^2+ 2ab + b^2[/tex]
factorization please help
Answer:
(p - 3q)/ 5p
Step-by-step explanation:
p^2 - 7pq + 12 q^2
= (p - 3q)(p - 4q)
and
5p^2 - 20 pq = 5p(p - 4q)
The p - 4q is common to both expressions so the answer is
(p - 3q)/ 5p.
Answer:
[tex]\frac{p-3q}{5p}[/tex]
Step-by-step explanation:
Given
[tex]\frac{p^2-7pq+12q^2}{5p^2-20pq}[/tex] ← factorise numerator and denominator
= [tex]\frac{(p-4q)(p-3q)}{5p(p-4q)}[/tex] ← cancel (p - 4q) on numerator/ denominator
= [tex]\frac{p-3q}{5p}[/tex]
………………..please lolz :,)
Answer:
a^2 + b^2 = c^2
a^2 + 24^2 = 25^2
a=7
Step-by-step explanation:
Find the smallest number that must be added to 7653 to make it a perfect square? Explain.
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Answer:
91
Step-by-step explanation:
√7653 is about 87.48
The next largest perfect square is 88^2 = 7744. The value that must be added to 7653 to get 7744 is ...
7744 -7653 = 91
Adding 91 to 7653 will make it a perfect square.
can you please answer this question
Answer:
1/40
219/250
69/16
Step-by-step explanation:
1.
0.025=(025)/(1000)=1/40
2.
0.876=876/1000=219/250
3.
4.3125=43125/10000=1725/400=69/16
I need help with this problem please explain it good cause I'm rlly confused on how to do like I know how to solve the actual equations like ik how to get -7 and 12 but I don't know how to answer it if that makes sense
Answer:
The correct choice is option B. -7 ≤ x < 12
Step-by-step explanation:
Which graph represents the function y - 3 = 3 (x – 4)?
414
4
y
2
2
2
2
X
X
2
4
2.
4-2
-2
24
2.
-2
O
Answer:
y = 3 suh slid este ob cine este a, b și g au nevoie de acel kinfo pentru a termina ba de for
Step-by-step explanation:
The function is an illustration of a linear graph
The graph of the function has a slope of 3, and a y-intercept of -9
How to determine the equationThe equation is given as:
[tex]y - 3 = 3(x - 4)[/tex]
Open the bracket
[tex]y - 3 = 3x - 12[/tex]
Add 3 to both sides of the equation
[tex]y = 3x - 12+3[/tex]
Evaluate the like terms
[tex]y = 3x -9[/tex]
The above means that:
The graph of the function has a slope of 3, and a y-intercept of -9
Read more about linear equations at:
https://brainly.com/question/14323743
Use the formula for the volume of a sphere.
Answer:
113.1 cm³
Step-by-step explanation:
we even have the formula. we only need a calculator to simply type this in.
the only "trap" here : we were given the diameter, and for the radius we need to cut that in half.
so,
r = 3
V = 4/3 × pi × r³ = 4/3 × pi × 3³ = 4/3 × pi × 27 =
= 4 × pi × 9 = 113.1 cm³
the area of a circle is 38.5 cmsq. thje circumference of the circle is
Step-by-step explanation:
Solution,
Area=38.5 cm²
by using the formula of are of a circle i.e, πr², we get
πr²= 38.5 cm², where π=22/7
r²=38.5 cm²/π
r²=12.25 cm²
r=√12.25 cm²
r=3.5 cm
Now, by using the formula of circumference of a circle i.e, 2πr, we get
2πr=2×π×3.5 cm, where π=22/7
=22 cm
So, the circumference of the circle is 22 cm.
I hope it helped U
stay safe stay happy
Answer:
The circumference is 21.9899977262 (22 if rounded).
Step-by-step explanation:
First, we need to multiply pi by the area of the circle (3.14 x 38.5). This gives us 120.89. Next, we need to find the square root of 120.89. Which gives us 10.9949988631. Now we need to mulitply 10.9949988631 b which gives us 21.9899977262. Now if you would like you can round the number. This gives us a final answer of 22.
Let me know if you have any questions.
PLEASE HELP…
!!!!!!!
Answer:
LM=11
Step-by-step explanation:
LN= ML+MN
4x+9=(2x+7)+(3x)
4x+9=5x+7
5x-4x= 9-7
x=2
LM=2x+7 =2(2)+7=4+7=11
Name a pair of angles that are a linear pair
Choose the correct answer below.
A.
B.
C.
D.
Answer:
a but
Step-by-step explanation:
i think a
divide rs. 560/-among A,B and C in such a way that A and B are in 2:3 while B and C are in 4:5
plz help me with this answer
Answer:
128 : 192 : 240
Step-by-step explanation:
Given that
A : B = 2 : 3
That is B = 1.5A
Then in fractional form
[tex]\frac{B}{C}[/tex] = [tex]\frac{4}{5}[/tex] , so
[tex]\frac{1.5A}{C}[/tex] = [tex]\frac{4}{5}[/tex] ( cross- multiply )
4C = 7.5A ( divide both sides by 4 )
C = 1.875A = 1.875 × 2 = 3.75
The ratios of A : B : C = 2 : 3 : 3.75
Sum the parts of the ratio , 2 + 3 + 3.75 = 8.75
Divide the quantity by 8.75 to find the value of one part of the ratio
560 ÷ 8.75 = 64 , then
2 parts = 2 × 64 = 128
3 parts = 3 × 64 = 192
3.75 parts = 3.75 × 64 = 240
Then A : B : C = 128 : 192 : 240
What fractional part of the bar is red?
Group of answer choices
1/6
2/6 or 1/3
3/6 or 1/2
4/6 or 2/3
If profit means to increase then what means to decrease.
Answer:loss
Step-by-step explanation: I mean for example you are profiting money and you just had a loss of money
Name all the angles that have v as vertex
Step-by-step explanation:
. The vertex for angle BAC, written ∠BAC, is point A. The angle can also be named as ∠CAB or by only its vertex, ∠A. W
Simplify this algebraic expression completely.
6x-4(x+3)
A. 2x+ 3
B. 2x - 12
C. 2x - 3
O D. 2x + 1
Step-by-step explanation:
6x-4(x+3)
6x-4x-12
2x-12
So, option b is correct.
I hope it helped u
stay safe stay happy
what is a × 2. what is a(2)
Answer:
a × 2 means 'a' multiplied by 2
a(2) also means 'a' multiplied by 2
So both mean the same.
a × 2 means 2 times the value of variable "a".
a(2) represents a function "a" with input 2.
a × 2 means the value of variable "a" multiplied by 2. In mathematical terms, it is simply "2 times a" or "2 * a."
a(2) indicates a function notation, where "a" is a function and "2" is the input to that function.
It is not multiplication but rather a way of representing the value of the function "a" when the input is 2.
Hence, a × 2 means 2 times the value of variable "a".
a(2) represents a function "a" with input 2.
To learn more on Number system click:
https://brainly.com/question/1763119
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Marc has 10 days to finish all three before exams. He plans to read an equal amount each day. How many pages should he read the first boy ?
Answer:
100 pages
Step-by-step explanation:
total number of pages = 286 + 424 + 290 = 1000
equal amount in 10 days,
number of pages hhe should read in the first day = 1000/10 = 100
Find the equation of the line passing through the points with the given coordinates. Make sure your final answer
is in slope-intercept form.
(0,-4), (2,3)
Answer:
y = 7/2x - 4
Step-by-step explanation:
7/2 is the slope and -4 is the y intercept
3x+5=-x-7 what is the x value
The area and perimeter is needed
Answer:
Perimeter = 30 + 4[tex]\pi[/tex] ≈42.56 cm
Area = 88 - 8[tex]\pi[/tex] ≈ 62.88 cm^2
Step-by-step explanation:
area of rectangle = 11* 8 = 88
Perimeter of rectangle = 38
perimeter of circle = 2[tex]\pi[/tex]4 = 8[tex]\pi \\[/tex]
area of circle = [tex]\pi 4^{2}[/tex] = 16 [tex]\pi[/tex]
Answer:
Step-by-step explanation:
Area of shaded region = Area of rectangle - area of semi circle
Rectangle:
length = 11 cm
Width = diameter of circle = 4 + 4 = 8 cm
Area 1 = length * width
= 11 * 8
= 88 sq. cm
Circle:
radius = r = 4 cm
Area of semicircle = [tex]\dfrac{1}{2}\pi r^{2}\\[/tex]
[tex]=\dfrac{1}{2}*3.14*4*4\\\\= 25.12 \ cm^{2}[/tex]
Circumference of semicircle = [tex]\dfrac{2\pi r}{2}=\pi r[/tex]
= 3.14 * 4
= 12.56 cm
Area of the shaded region = 88 - 25.12 = 62.88 = 63 square cm
Perimeter of shaded region = 11 + 8 + 11 + circumference of semicircle
= 11 + 8 + 11 + 12.56
= 42.56
= 43 cm
In the last student-council elections, Jill got x number of votes. Morgan got twice as many votes as Jill. Trisha won the election with 7 more votes than Morgan. If 327 students voted in the election, write and solve an equation to determine how many votes Trisha got.
Answer:
the equation is x + 2x + 2x + 7 = 327
or 5x + 7 = 327
x = 64
Trisha has 135 votes.
Step-by-step explanation:
Jill has x votes.
If Morgan got twice as many votes as Jill, then Morgan has
2 times the number of votes
or 2x
Trisha won the election with 7 more votes than Morgan's, so we add 7 to this amount
2x + 7
So assuming Jill, Morgan, and Trisha are the only three candidates:
then x + 2x + 2x + 7 = 327
Combine like terms
5x + 7 = 327
Subtract 7 from both sides
5x = 320
x = 64
Check answer for x:
64 + 2(64) + 2(64) + 7 = 64 + 128 + 128 + 7 = 327
So Trisha has
2x + 7 = 2(64) + 7 = 128 + 7 = 135 votes
9. Samantha had $30 to spend on five pens. After buying them he had $4.75. How much did each pen cost? WILL GIVE BRAINLIEST AND MEED WORK DONE
Answer:
$5.05
Step-by-step explanation:
$30-4.75=25.25 (cost of total pens)
25.25÷5=$5.05 (there are 5 pens so divide by 5)
helppppppp meeeee..........
Answer:
So the answer is zero slope, since the line is parallel to x-axis
Answer:
This slope is a horizontal slope which is also known as the slope of 0 because it has an infinite number of x values but just one y vale (in this case it is -1) .
I hope this helps :)
en un colegio hay 250 varones el 60 % son mujeres ¿cuantos estudiantes hay en total ?
me ayudan por favor
Answer: 625 estudiantes
Step-by-step explanation:
100%-60%=40% varones
40/100 = 250/x
(250*100)/40 = 625 estudiantes
A patient is receiving 1 liter of IV fluids every 8 hours. At thatrate, how much will he receive in 3 hours? *
Answer:
3/8 L
Step-by-step explanation:
Set up a ratio:
1 L/8 hrs=x L/3 hrs (same as 180 minutes)
Cross multiply to solve.
8x=3 so x=3/8 L
Its midpoint please help
Answer:
(-9,-9)
Step-by-step explanation:
B = (-9,-9)
A = (9,-3)
Midpoint M = (0,-6)
Step-by-step explanation:
Here,we have,
(x, y) =M(0,-6)
(x1, y1) =A(9,-3)
(x2, y2) =coordinates of B=?
Using midpoint formula, we get,
x=x1+x2÷2
or, 0=9+x2÷2
or, 0×2=9+x2
or, 0-9=x2
or, x2=-9
therefore, x2=-9
Now,
y=y1+y2÷2
or, -6=-3+y2÷2
or, -6×2=-3+y2
or, -12+3=y2
or, y2=-9
therefore, y2=-9
Hence, the coordinates of B are (-9, -9)..
PLz help
The square of a certain negative number is equal to five more than one-half of that number. What is the number?
wrong=reported
ty<3
Answer:
[tex]thank \: you[/tex]
Ryan and Cody are selling cookie dough for a school fundraiser. Customers can buy packages of white chocolate chip cookie dough and packages of double chocolate cookie dough. Ryan sold 6 packages of white chocolate chip cookie dough and 12 packages of double chocolate cookie dough for a total of $204. Cody sold 7 packages of white chocolate chip cookie dough and 7 packages of double chocolate cookie dough for a total of $147. What is the cost each of one package of white chocolate chip cookie dough and one package of double chocolate cookie dough?
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Answer:
white: $8double: $13Step-by-step explanation:
Let w and d represent the costs of white chocolate chip cookie dough and double chocolate chip cookie dough, respectively.
6w +12d = 204 . . . . . . Ryan's sale
7w +7d = 147 . . . . . . . . Cody's sale
We can divide out the common factor to put these equations into standard form:
w +2d = 34
w +d = 21
Subtracting the second of these equations from the first, we get ...
(w +2d) -(w +d) = (34) -(21)
d = 13
Using the second equation, we can find w:
w = 21 -d = 21 -13 = 8
The costs of the chocolate chip cookie dough packages are ...
white: $8
double: $13
help me plesss
100 points
1,If(29)^2=841,then find the value of radical of 0.084?
2,the sum of two consecuative square odd intigers is 130, find the number?
#1
√0.084√(841×0.0001)√ab=√a√b
√841√0.0001√(29)²√(0.01)²29(0.01)0.29#2
Let they be x and x+2
x²+(x²+4x+4)=1302x²+4x=126x²+2x=63(x+9)(x-7)=0x+9=0 and x-7=0x=-9,7It's given that two consecutive square nos
A square no must be positive integer so -9 can't be that
x=7 onlyThe next odd no=7+2=9
The numbers are 7 and 9
Help me pleaseeeeeeeeeee
Answer:
Part A: 2m/1s
Part B: 7m/6s or 5m/2s (I'm new to this as well)
Part C: 0m/1s
Part B is the fastest because the slope is the steepest and Part C is the slowest because there's no speed happening; it's at rest.
Step-by-step explanation: