Answers
Answer:
1) (x+5²)=x²+10x+25
2)(m-4²)=m²-8m+16
3)(3y-2²)=3y-4
4)(½y-50)(⅗y+10)=3/10y²-25-500
5)(n-6)(n-7)=n²-13n+42
6)(3d-2)(3d+2)=9d²-4
7)(a-12)(a+12)=a²-144
8)4(3d+1)(3d-1)=36d²-4
9)(2ab+3c)(2ab-3c)=4(ab²)-9c²
10)(2mn-5²=2mn-25
Step-by-step explanation:
1) (x+5²)=
step 1
expand the square
(x+5²)
(x+5)(x+5)
step 2
distribute
(x+5)(x+5)
x(x+5)+5(x+5)
step 3
distribute
x(x+5)+5(x+5)
x²+5x+5(x+5)
step 4
distribute
x²+5x+5(x+5)
x²+5x+5x+25
steps 5
combine like terms
x²+5x+5x+25
x²+10x25
solution=x²+10x25
Answer:7)(FOIL) a^2-144
7) (distributive property) 0
Step-by-step explanation:
(using distributive property)
(a-12)(a+12)
Rewrite
a(a+12)-a(a+12)
Multiply
a^2+12a-a^2-12a
Combine like terms
a^2-a^2=0
12a-12a=0
0+0=0
0
(expand using FOIL)
(a-12)(a+12)
Front
a*a=a^2
Outside
a*12=12a
Inside
-12*a=-12a
Last
-12*12=-144
Put together
a^2+12a-12a-144
Combine like terms
a^2-144
Related Questions
When x=4 and Y=7, find the value of
5x-2y
Answers
5(4) -2(7)
20-14=6
Answer:
6
Step-by-step explanation:
plug in x and y in to the equation
5(4)-2(7)
20-14=
6
PLEASE HELP! What is the approximate area of the shaded region? use 3.14 for Pi
Answers
Answer:
A. 16.86 square inches
Step-by-step explanation:
Area of Circle = [tex]\pi r^2[/tex], where r = radius.
Area of Rectangle = [tex]l * w[/tex], where l = length and w = width.
We are given the radius of the circle as 1, and we use π as 3.14
[tex]3.14*1^2[/tex] [tex]3.14*1[/tex] [tex]3.14[/tex]Next, we find the area of the rectangle.
[tex]5*4[/tex] [tex]20[/tex]Lastly, we subtract 3.14 from 20.
[tex]16.86[/tex]Therefore, the answer is A. 16.86 square inches.
Answer:
16.86
Step-by-step explanation:
The circle area =3.14*1=3.14
The area of the square- the circle=shaded area.
=20-3.14=16.86
Please Help!!!! The screenshot is down below!!!
Answers
Answer:
2
Step-by-step explanation:
if I counted right there are 23 data points in this set 2 's are in the center
Select all pairs of vertical angles.
Angles 1 and 3, Angles 3 and 4, Angles 2 and 3, Angles 1 and 2, Angles 1 and 4, Angles 2 and 4
Answers
Answer:
Step-by-step explanation:
What is the area of this polygon?????? Pls
Answers
Answer:
39
Step-by-step explanation:
Draw a line from V to R. That gives you a triangle MVR
The height of the triangle = 3
The base of the triangle = 6
Area Triangle = 1/2 * 3 * 6 = 9
The figure left over is a rectangle
Area = VR * VE
VR = 6
VE = 5
Area = 6*5 = 30
Total area = 39
Answer:
We can split this figure into two shapes;
A triangle, and a rectangle.
If we split the figure from 'V' to 'R', it will formulate the two shapes I mentioned.
First, we must know the formula for the area of a triangle -
A = BH x 1/2
Where B represents the base, and H serves as the height.
For the triangle, the height is 3, and the base is 6.
So we plug in these values into our formula:
A = BH
A = 6(3) x 1/2
A = 18 x 1/2
A = 18/2
A = 9
Now the formula for the area of a rectangle:
A = LW
Where L displays as the length, and W illustrates the width.
Our width of the following rectangle is 6, while our length is 5.
Plug in our values into the formula:
A = LW
A = 5(6)
A = 30
Now, we add our areas;
9 + 30 = 39 square units, is our answer.
Determine the number and types of roots.
2.2 – 3.0 – 10 = 0
Answers
Answer:
0+3.16 i / imaginary
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PLEASE HELP
For each relation, decide whether or not it is a function.
Answers
Solve the following problems
-10+2 ⅓÷¾
Answers
[tex] - 10 + 2 \frac{1}{3} \div \frac{3}{4} = [/tex]
[tex] - 10 + \frac{7}{3} \div \frac{3}{4} = [/tex]
[tex] - 10 + \frac{7}{3} \times \frac{4}{3} = [/tex]
[tex] - 10 + \frac{7 \times 4}{3 \times 3} = [/tex]
[tex] - 10 + \frac{28}{9} = [/tex]
[tex] \frac{ - 10}{ 1} + \frac{28}{9} = [/tex]
[tex] \frac{ - 90}{9} + \frac{28}{9} = [/tex]
[tex] \frac{ - 90 + 28}{9} = [/tex]
[tex] \frac{ - 90 - ( - 28)}{9} = [/tex]
[tex] \frac{ - (90 - 28)}{9} = [/tex]
[tex] \frac{ - 6 2}{9} = [/tex]
[tex] - 6 \frac{8}{9} [/tex]
Answer: -62/9
Step-by-step explanation:
Please answer fast brainliest.
A bank charges a service fee of $8.75 per month for a bank account. Sarah’s bank account bas $75.00. How much is she charged after 7 months and how much money is left in her account? Show your work.
Answers
Just k1dding, in terms of setting up an equation for it, we know that 8.75 is the slope coefficient with months and 75 is the intercept.
So basically amount charged = monthly service fee(# months) + bank account base
Or with numbers
Amount charged = 8.75(num months) + 75.00
Now plug in 7 months
8.75(7)+75.00 = 61.25+75.00= $131.25.
Manuela can type about 150 words in 4 minutes at this rate, about how long will she take to type 2000 words
Answers:
10 minutes
75 minutes
50 minutes
750 minutes
Answers
Answer:
How long does a 750 word essay tak
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HELP PLLZZZZ
Please answer this i rly need help i dont understand
Answers
Answer:
220°
Step-by-step explanation:
[tex]\angle PQM [/tex] is inscribed in the [tex]\widehat{PQM}[/tex] and [tex]\widehat{PNM}[/tex] is intercepted by it.
Therefore, by inscribed angle theorem:
[tex]m\angle PQM =\frac{1}{2}\times m\widehat{(PNM)}[/tex]
[tex]\implies 110\degree =\frac{1}{2}\times m\widehat{(PNM)}[/tex]
[tex]\implies 110\degree \times 2= m\widehat{(PNM)}[/tex]
[tex]\implies m\widehat{(PNM)}= 220\degree [/tex]
[tex]\\ \rm\Rrightarrow m<PQM=1/2m\overset{\cap}{PNM}[/tex]
[tex]\\ \rm\Rrightarrow m\overset{\cap}{PNM}=2m<PQM=2(110)=220°[/tex]
1/4 as a decimal and percentage
Answers
Answer:
0.25 as decimal and 25%
Step-by-step explanation:
b) Find the value of W.
find the value of w
4 cm
3 cm
12 cm
A
B
3 cm
wcm
9 cm
Not drawn accurately
Answers
Step-by-step explanation:
Given : AD=4 cm,DB=(x−4) cm,AE=8 cm and EC=(3x−19) cm.
To Find : x
We know that, by BPT(Basic proportionality theorem)
DBAD=ECAE
(x−4)4=(3x−19)8
4(3x−19)=8(x−4)
12x−76=8x−32
Solving, we get x=11 cm
What is the slope?
Simply your answer and write it as a proper fraction, improper fraction, or integer;
Submit
Work it out
Not feeling ready yet? These can help:
Answers
Answer:
6/7 is the answer to this problem
Step-by-step explanation:
The answer is 6/7
Please answer, i dont understand this question. Please show work for extra points
Answers
Answer:
D) [tex]x=\frac{5}{3}[/tex] and [tex]x=-4[/tex]
Step-by-step explanation:
Factor by grouping
[tex]3x^2+7x-20=0\\\\3x^2+12x-5x-20=0\\\\3x(x+4)-5(x+4)=0\\\\(3x-5)(x+4)=0[/tex]
Solve each factor using the Zero Product Property
[tex]3x-5=0\\\\3x=5\\\\x=\frac{5}{3}[/tex]
[tex]x+4=0\\\\x=-4[/tex]
Thus, [tex]x=\frac{5}{3}[/tex] and [tex]x=-4[/tex] are the solutions
find the distance between (-6,-10)and (-2,-10)
Answers
Answer:
4 units
Step-by-step explanation:
Is (4,10) a solution to this system of equations? y=2x+2 y=10x+1
Answers
Answer:
No
Step-by-step explanation:
To find out if (4,10) is a solution to the system, we plug in the values of x and y into each equation.
1:
[tex]10=2(4)+2[/tex] [tex]10=8+2[/tex] [tex]10=10[/tex]2:
[tex]10=10(4)+1[/tex] [tex]10=40+1[/tex] [tex]10\neq 41[/tex]As you can see, (4,10) only satisfies ONE equation, not both. Therefore, the answer is no, it's not a solution.
a rectangular room has an area of 24 square yards the length of the yard is 6 yards what is the width.
Answers
Answer:
w=4yd
Step-by-step explanation:
30 out of 32 is what percent?
Answers
Answer:
about 93%
Step-by-step explanation:
If you want to find the answer for yourself simply divide 30 by 32.
Hope that helps!
Answer:
93.75
Step-by-step explanation:
divide 30 by 32 to get 93.75%
Have an amazing day!
PLEASE RATE!
Find the surface area of the prism
Answers
Answer:
136 [tex]m^{2}[/tex]
Step-by-step explanation:
Well if you find the lateral area (the area of the rectangles on the sides) to get 112, so you just need to add that to the triangles and for those (they add up to 36) you can just use the formula for the area of a triangle, which is [tex]b*h/2[/tex].
Hope this helps :)
Seventy-five percent of the apple pies were sold on Tuesday, and the remainder were thrown out. If 12 apple ples were sold Tuesday, then how many were thrown out?
Answers
Answer:
4 pies
Step-by-step explanation:
Hello!
We know that 12 apple pies are 75 percent of the total apple pies.
Let x = # of pies total.
This means that 75% of x, or 0.75x is 12
Solve:
75% of x = 120.75x = 12x = 16Now, 16 is the total number of pies. To find the number thrown out, we subtract 12.
16 - 12 = 4
4 pies were thrown out
Solution:
Let "a" represent total apple pies.
Note that:
75% x a = 12 apples piesSimplify the LHS:
75a/100 = 12 apple piesUse cross multiplication:
75a = 12 x 100=> 75a = 1200Divide 75 both sides:
=> 75a/75 = 1200/75=> a = 16If there were 16 apples and 12 were sold, 4 apple pies were thrown out.
m + s = 26
3m + 8s = 123
Answers
Answer:
M=17
S=9
Step-by-step explanation:
m = 17 and s = 9
Refer to the attachment for full solution . The main key here is to multiply first equation by 3 so that in both equations the coefficient of m will be same so that we can eliminate 3m and then we will solve for s and then putting value of s in any of the equation , so we can get m
Note :- You can multiply the 1st equation by 8 too for making coefficient of s same and then solving for m and then solving for s
Please Help ASAP. I need a better understanding of this so please help ASAP...
Answers
Answer:
upper right selection
Step-by-step explanation:
Matrix addition, subtraction, and multiplication or division by a constant are done on a term-by-term basis.
[tex]\left[\begin{array}{cc}4&-7\\-11&5\end{array}\right] +\left[\begin{array}{cc}1&6\\-1&3\end{array}\right] =\left[\begin{array}{cc}4+1&-7+6\\-11-1&5+3\end{array}\right] \\\\=\boxed{\left[\begin{array}{cc}5&-1\\-12&8\end{array}\right] }[/tex]
the composite numbers smaller than 18
Answers
Hello.
A composite number has more than 2 factors; it's divisible by 1, itself, and something else.
Let's find the composite numbers smaller than 18.
The composite numbers are
4, 6, 8, 9, 10, 12, 14, 15, 16.
I hope it helps.
Have a nice day.
[tex]\boxed{imperturbability}[/tex]
2/6 of Ryan's socks are blue, 2/6 are green, and the rest are white. What fraction of Ryan's socks are white?
Answers
Step-by-step explanation:
6/6 - 2/6 - 2/6 = 2/6
He collected a total of 225 . If 68% of the stamps he collected were foreign, how many other stamps did he collect?
Answers
Answer:
72 stamps
Step-by-step explanation:
First, we're looking to find the number of stamps that AREN'T foreign, so we have to subtract 68% from 100%.
100% - 68% 32%Now, we know that 32% of the stamps are NOT foreign. So, next, we:
Multiply 32 by 225.Divide the product of 32 and 225 by 100[tex]32*225[/tex] [tex]7200[/tex] [tex]7200/100[/tex] [tex]72[/tex]Therefore, the answer is 72 stamps.
Olive oil is a cooking ingredient. The density of olive oil is 0.92 grams per cubic centimeter. An olive farmer wants to sell bottles that contain 460 grams of oil. What is the volume of the smallest container that holds 460 grams of oil?
Answers
Answer:
423
Step-by-step explanation:
....................
Answers
Answer:
m ∠ E = 29°
Step-by-step explanation:
34 + 117 + m = 180
151 + m = 180
-151 -151
m ∠ E = 29°
I hope this helps!
What is the surface area of this triangular pyramid? 7 in 4 in 4 in 4 in 3.5 in
Answers
Answer:
37 yd²
Step-by-step explanation:
The computation of the surface area of this triangular pyramid is shown below:
The surface area of this triangular pyramid is
But before that
Lateral area = 3(1 ÷ 2) × base × height
= (3 ÷ 2)(4 yd)(5 yd)
= 30 yd²
Now
base area = 1 ÷ 2 × base × height
= 1 ÷ 2(4 yd)(3.5 yd)
= 7 yd²
Now the total surface area is
surface area = lateral area + base area
= 30 yd² + 7 yd²
= 37 yd²
Answer:
88 inches squared
Make a number line and mark the points that represent the following values of x -1
Answers
The marks on the number line are used to represent the points on the number line
The point on the given diagram is on the point x = -1
How to determine the pointThe value of x is given as:
x = -1
The above equation means that, the value of x is on the -1 point of x
This in other words means that, the position of x is 1 point to the left of 0
From the diagram, the point is already on the point x = -1
Read more about number lines at:
https://brainly.com/question/10851163
Answer:
-1 and 1 if you are using absolute value
Step-by-step explanation: