Answer:
[tex]\frac{x-1}{x+2}[/tex]
Step-by-step explanation:
simplifying the equation: [tex]x^2-3x+2/x^2-1[/tex]
1) Rewrite the equation so it's easier to understand:
[tex]\frac{x^2-3x+2}{x^2-4}[/tex]
2) factor [tex]x^2-3x+2[/tex]:
[tex]x^2-3x+2[/tex] [tex]=> (x-1)(x-2)[/tex]
3) factor [tex]x^2-4[/tex]:
[tex]x^2-4 => (x+2)(x-2)[/tex]
Meaning: [tex]\frac{(x-1)(x-2)}{(x+2)(x-2)}[/tex]
4) Cancel the common factor: [tex](x-2)[/tex] from the numerator and the denominator:
[tex]=\frac{x-1}{x+2}[/tex]
A shipping crate is 9 feet long, 4 feet wide, and 6 feet tall. What is the total surface area of the crate in square feet?
Answer:
Step-by-step explanation:
sureface area of rectanglur object is the sum of the six sides
Area = Length x Width
SArea = Top Area + Bottom Area + Front Area + Back Area + Left Side Area
+ Right Side Area
since the top and bottom have equal area = long x wide
the front and back have equal area = long x tall
and both sides have equal area = wide x tall
I summed the bottom front and side areas each times 2
SArea = 2(Bottom Area) + 2(Front Area) + 2(Side Area)
factor out the 2 and added the area formulas for the bottom front
and side
= 2 [ (long x wide) + (long x tall) + (wide x tall)]
= 2 [ (9 x 4) + (9 x 6) + (4 x 6)]
= 2 [ (9)(4) + (9)(6) + (4)(6)]
= 2( 36 + 54 + 24 )
= 2( 114)
= ???? What is 2 times 114 ???? You can finish this part.
Alright fam, help me out here with these angles thanks!
Answer:
m∠3 = 127°
Step-by-step explanation:
From the given picture,
Two parallel lines have been given.
Angle 3 and another angle measuring 53° are located on a point of a straight line.
Therefore, both the angles will be supplementary.
m(∠3) + 53° = 180° [Property of supplementary angles]
m(∠3) = 180° - 53°
= 127°
What is the missing value in the table below?
Answer:
11
Step-by-step explanation:
Which expression represents the perimeter of a rhombus with diagonal lengths 8a and 10a?
Answer:
4a[tex]\sqrt{x}[/tex]41
Step-by-step explanation:
12*2+9x2= Perimeter.
The perimeter P of rhombus is given as
[tex]\rm\bold{ P = 4\sqrt{41}a }[/tex]
The diagonals of rhombus bisect each other at right angles and it has same perimeter as that of a square.
From this property stated above we can formulate side of rhombus is below in equation (1)
Side and diagonals of rhombus have following relation
[tex]\rm Let \; the \; side \; of\; rhombus = s\\Length\; of \; first \; diagonal = 8a\\ Length\; of \; second \; diagonal = 10a\\\\According \; to \; the \; identity\; for\; area \; of\; rhombus \\ s^2 = (p/2)^2 +(q/2)^2 ....(1) \\where \; p \; and\; q \; are\; the \; diagonals.[/tex]
so
[tex]\rm s^2 = (10a/2)^2 + (8a/2)^2\\s^2 = 25a^2 + 16a^2 = 41 a^2 \\s= \sqrt{41}a ......(2)[/tex]
Equation (2) represents side of rhombus
So the perimeter P of rhombus is given as
[tex]\rm P = 4\times s[/tex]
[tex]\rm\bold{ P = 4\sqrt{41}a }[/tex]
The perimeter P of rhombus is given as
[tex]\rm\bold{ P = 4\sqrt{41}a }[/tex]
For more information please refer to the link below
https://brainly.com/question/24438053
HELP ASAP. (please show work) solve for x
(2x + 8) + 34 = 90
2x + 8 + 34 - 90 = 0
2x - 48 = 0
2x = 48
x = 48 ÷ 2
x = 24°
mark as brainliest please
Help me with this!!!
Answer:
yes
Step-by-step explanation:
Plzzzz help Lia brought 21 shirts and plants. Her total was $357. Pants cost $25 each, and shirts cost $14.50 each. How many of each item did she buy?
I will give you brainliest and 15 points
Answer:
she brought 21 shirts and 2 pants
Step-by-step explanation:
shirts
21× 14.50 = 304.5
357- 304.5 = 52.5
pants
52.5 ÷ 25 = 2.1
find the area Square root of 3 and square root of 75
Answer:0.2
Step-by-step explanation:
Combine
√
3
and
√
75
into a single radical.
√
3
75
Cancel the common factor of
3
and
75
.
Tap for more steps...
√
1
25
Rewrite
√
1
25
as
√
1
√
25
.
√
1
√
25
Any root of
1
is
1
.
1
√
25
Simplify the denominator.
1
5
The result can be shown in multiple forms.
Exact Form:
1
5
Decimal Form:
0.2
For any particular equation we can use the same letter to represent two different numbers at the same time true or false??
Answer:
false if they are 2 different numbers then u have to have 2 different letters.
Step-by-step explanation:
question is in picture i forgot how to do this and my sister is working on it rn anyone help?
Answer:
it's A.
Step-by-step explanation:
so basically an open circle means < or >
a closed circle (the filled in one) means greater/least than or equal to
the sign > with an equal sign under it
hope this helps I forgot too for a minute lol
Geomotry 10th grade easy 25 points
Answer: 1=60°
Step-by-step explanation:
First, let's take our given angle of 30°
30° is in a right triangle, so the angles must be 90°, 60°, and 30°
Now the angle that is 45° makes angle 1 congruent to angle 60°
Meaning angle 1 is 60°
Answer:
m < 1 = 60
Step-by-step explanation:
Since the transversal is perpendicular to m,
it implies that the triangle formed by the perpendicular transversal, the slant transversal and the line m is a right angle triangle.
We use vertically opposite angles property to bring m<1 in to the right triangle.
We now use the sum of interior angles property to obtain,
m < 1 + 30 + 90 = 180
This implies that,
m < 1 + 120 + 180
We group like terms to obtain,
m < 1 = 180 - 120
This means that,
m < 1 = 60
We could have also used corresponding angles property, then
m < 1 + 30 = 90
m < 1 = 90 - 30
m < 1 = 60
100 points! Look at the picture attached. I will mark brainliest! Random answers will be reported.
Answer:
this is your answer look it once
Answer:
5: x > 6
6: x < 62
Step-by-step explanation:
[tex](1)x + 14 < 2(3x - 8) \\ x + 14 < 6x - 16 \\ x - 6x < - 16 - 14 \\ -5x < - 30 \\ x > \frac{ - 30}{ - 5} \\ x > 6 \\ [/tex]
[tex](2)2(x + 22) > 3x - 18 \\ 2x + 44 > 3x - 18 \\ collect \: like \: term \\ 2x - 3x > - 18 - 44 \\ - x > - 62 \\ x < 62[/tex]
Hudson went shopping for a new pair of sneakers. The listed price of the pair of sneakers was $29, but the price with tax came to $31.61. Find the percent sales tax.
Answer:
Percent sales tax = 9%
Step-by-step explanation:
Listed price = $29
Price with tax = $31.61
Amount of tax = Price with tax - Listed price
= $31.61 - $29
= $2.61
Find the percent sales tax.
Percent sales tax = $2.61/$29 × 100
= 0.09 × 100
= 9%
Percent sales tax = 9%
If answered correctly I will give brainliest!
Answer:
a2 +b2 = c2
81 + 144=225
square root 225
15 is the answer
Can someone please help me!!!!!!!!!!!!!!!!!!!!!
Answer:
5x-6+7x+12=180
Step-by-step explanation:
5x+7x = 12x
12x - 6 +12 = 180
add 12 and -6 to get 6.
12x + 6 = 180
subtract 6 from both sides to get 174.
12x = 174.
now divide both sides by 12 to get x = 14.5 or 29/2 which cancels out to 6
2 2/3 times by 1 5/7
Answer:
4 4/7 is the answer
Answer:
4 4/7
Step-by-step explanation:
(2 2/3)(1 5/7) = 4 4/7
Evaluate the expression using properties of operations.
1
-1.2 = 3x5x (2)
6
OA) -72
OB) 2
OC) 72
OD 120
Answer:
Step-by-step explanation:
OA) -72
Find the value of x and justify your answer
Answer:
a.
2x+4x+3x=180 sum of interior angle of the triangle is 180
9x=180
x=180/9=20
b.
x-20+x+10+x-20=180sum of interior angle of the triangle is 180
3x-30=180
3x=180+30
x=210/3=70
c.x+10+x+20+x=180 linear pair
3x+30=180
3x=180-30
x=150/3=50
Answer:
The picture is kinda blurry so I hope I've got it right.
a) x = 20°
b) x = 70°
c) x = 50°
Step-by-step explanation:
a) 2x + 3x + 4x = 180°
9x = 180°
x = 50°
b) (x - 20°) + (x - 20°) + (x + 10°) = 180°
3x - 30° = 180°
3x = 210°
x = 70°
c) (x + 10°) + (x + 20°) + x = 180°
3x + 30° = 180°
3x = 150°
x = 50°
What is the sum of 3/x^2-9+(5/x+3)
Answer:
Step-by-step explanation:
[tex]\frac{3}{x^2-9} +\frac{5}{x+3} \\=\frac{3}{(x+3)(x-3)} +\frac{5}{x+3} \\=\frac{3+5(x-3)}{(x+3)(x-3)} \\=\frac{3+5x-15}{x^2-9} \\=\frac{5x-12}{x^2-9}[/tex]
Answer:
D
Step-by-step explanation:
What is the distance between -12 and 6 on a number line?
Answer:
18
Step-by-step explanation:
You can just do 6-(-12) a negative multiplied by a negative then turns into a positive which makes is 6+12=18
(13+3x) + 166 = 180
Answer:
ye
Step-by-step explanation:
Answer:
x=1/3
Step-by-step explanation:
The diameter of a sphere with a volume of 12,348 cubic ft is ___ ft.
Use ≈ 3.14 and round your answer to the nearest hundredth.
Answer:
108.62ft
Step-by-step explanation:
12348=⁴/3×3.14×r²
r²=12348×¾÷3.14
r²=2,949.36
r=squareroot of 2,949.36
r=54.308
d=2r
d=54.308×2
d=108.616
NEED HELP ASAP!!!!
One side of a trapezoid has been extended and the dotted line forms a right angle with the extended line. Use this information to find m∠p.
A. 65°
B. 75°
C. 115°
D. 155°
Answer:
C. 115
Step-by-step explanation:
got it right on edg. pls mark brainliest
Find the volume of the composite figure at the right.
Answer:
715.6 in^3
Step-by-step explanation:
Step 1:
multi. 10x6x8
=480
Step 2:
v=1/2 xPIE (5)^2 x6
= 235.6
Step 3:
480 + 235.6
= 715.6
PLEASE HURRY UP AND HELP ME NOW ASAP !
Answer:
D
Step-by-step explanation:
Linear Functions will never have curve lines in the graph.
the answer is D. Linear functions are those whose graph is a straight line
Help me with this!!!!
Answer:
no
Step-by-step explanation:
Soro bought a $50.00 bus card at the beginning of the week. Each bus ride costs $2.50. He needs to have at least $20.00 on his card at the end of this month.To determine how many bus rides he can take between now and the end of this month, Soro wrote and solved the following inequality:50 minus 2.5 x greater-than-or-equal-to 20. Negative 2.5 x greater-than-or-equal-to negative 30. x greater-than-or-equal-to 12.What error, if any, did Soro make when writing or solving this inequality
Answer:
Soro did not make any erro
Step-by-step explanation:
Soro bought a $50.00 bus card at the beginning of the week. Each bus ride costs $2.50. He needs to have at least $20.00 on his card at the end of this month.
Let her number of rides he can take be written as x
$50 - $2.50 × x ≥ $20
50 - 2.5x ≥ 20
-2.5x ≥ 20 - 50
-2.5x ≥ -30
x ≥ -30/-2.5
x ≥ 12 rides
Soro did not make any error
Which multiplication problem us modeled on the number line?
2(-4)
4(2)
2(4)
4(-2)
Answer:
2(-4)
Immediately, we can narrow it down to the first and last answer choices, since the product is negative. Since there are 4 arrows going left on the number line, the answer to this problem is 2(-4).
Erik read a total of 4 books over 2 months. After belonging to the book club for 17 months, how many books will Erik have read in all?
plss help me thank you!!
A 4:2 ratio can be simpified even more to a 2:1 ratio, which means by continuing the ratio you would get a 34 books in 17 months
Plz help me out !!!!!!
Answer:
There are 1,679,616 ways to answer the test
Step-by-step explanation:
Here, we want to get the number of ways to answer the test
From the question, we have that there are 8 questions, with each having 6 possible answers
Hence, the total number of answers to pick from is 8 * 6 = 48
We are to pick 6 out of this total 48, with 1 option per question
So in the first, we are picking 1 out of 6
The number of ways here is;
6 C 1 = 6 ways
The next, we have 6 ways also , up to the 8th question
So, the total number of ways will be;
6 * 6 * 6 * 6 * 6 * 6 * 6 * 6 = 6^8 =
1,679,616