Answer:
(n-2)(n+2)
Step-by-step explanation:
The denominator of the second fraction is the difference of squares, so can be factored using the formula for that.
(n^2 -4) = (n -2)(n +2)
Now, you will note that the second fraction has a numerator that is equal to one of the factors in the denominator. In other words, the whole fraction can be simplified to ...
(n +2)/((n +2)(n -2)) = 1/(n -2) . . . . with the restriction n≠-2
This reduced form of the fraction has the same denominator as the first fraction, so you can say that the lowest common denominator is that: (n -2).
If there is some reason you don't want to reduce the second fraction, the lowest common denominator will be (n -2)(n +2).
What is the value of x in the equation 2(x-4) = 4(2x + 1)?
1.
-2
2.
2
3.
Nime
2.
1
4.
2
Answer:
The value of x is -2.
Step-by-step explanation:
First, you have to eliminate the brackets by expanding :
[tex]2(x - 4) = 4(2x + 1)[/tex]
[tex]2x - 8 = 8x + 4[/tex]
Next, you have to move all the like-terms to one side :
[tex]2x - 8 - 8x = 4[/tex]
[tex] - 6x = 4 + 8[/tex]
[tex] - 6x = 12[/tex]
[tex]x = 12 \div ( - 6)[/tex]
[tex]x = - 2[/tex]
Answer:
[tex]x = - 2[/tex]
Step-by-step explanation:
[tex]2(x - 4) = 4(2x + 1) \\ 2x - 8 = 8x + 4 \\ 2x - 8x = 8 + 4 \\ - 6x = 12 \\ \frac{ - 6x}{ - 6} = \frac{12}{ - 6} \\ x = - 2[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Which ordered pair is generated from the equation below?
y = x - 2
OA) (5,7)
B) (7, 14)
OC) (7,9)
OD) (5,3)
Answer:
d) (5,3)
Step-by-step explanation:
All you gotta do is graph it and plugin the options.
I provided the graph
Your science grades are weighted as follows: 35% for tests, 25% for journals, 25% for homework, and 15% for chapter projects. Which circle graph correctly shows how your science grades are weighted? WILL MARK BRAINLIEST IF I KNEW HOW TO
Answer:
Third option.
Hope it helped.
Kami is cooking dinner for a family reunion that 21 people are attending.
If her recipe calls for 1.6 ounces of ground beef per person, how much beef does Kami need altogether?
A
12.6 oz
B. 13.125 oz
C. 22.6 oz
D. 33.6 OZ
In the proportion 5/6=10/12 , the means are ______.
5 and 12
5 and 10
6 and 12
6 and 10
Answer:
6/10
Step-by-step explanation:
i'm right
There is a point $A$ with positive coordinates such that the sum of the coordinates of $A$ is $14$. If the $x$-coordinate of $A$ is $a$, then point $P$ is at $(3a, a^2+13a-11)$. If the slope of a line passing through $A$ and $P$ is $7$, find $a$.
Answer:
The x-coordinate of A is:
a = 6.1
Step-by-step explanation:
For point A:
x-coordinate = a
x-coordinate + y-coordinate = 14
y-coordinate = 14 - x-coordinate
y-coordinate = 14 - a
So point A can be written as (a, 14-a)
Let (a,14) be (x₁,y₁)
Point P can be written as (3a, a²+13a-11)
Let P be (x₂,y₂)
Slope of a line passing through 2 point is given as:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
where m=7
Substitute all values
[tex]7=\frac{(a^2+13a-11)-(14-a)}{3a-a}\\7=\frac{a^2+13a-a-11-14}{3a-a}\\7=\frac{a^2+12a-25}{2a}\\14a=a^2+12a-25\\a^2-2a-25=0\\a=6.1,a=-4.1[/tex]
As A has only positive coordinates
a = 6.1
sarra spent $45 at las hadas and left a 15% tip. how much was the bill
Answer:
$51.75
Step-by-step explanation:
15% of 45 or .15*45 will equal $6.75. Then you add that onto the $45 and you'll get your anwser, $51.75.
1) Expand (x + 5)(x + 8) to form a quadratic expression
2) Expand (x - 1)(x + 3) to form a quadratic expression
3) Expand (x - 2)(x - 4) to form a quadratic expression
4) Expand (2x + 2)(x + 9) to form a quadratic expression
5) Expand (x - 7)(3x + 2) to form a quadratic expression ANSWER ALL CORRECTLY PLEASE I NEED TO GET DONE QUICKLY BIG 20 POINTS I WILL MARK BRAINLIEST
Answer:
Step-by-step explanation:
1) (x + 5)(x + 8)
=x(x +8)+5(x + 8)
=x^2+8x+5x+40
=x^2+13x+40
2)(x-1)(x+3)
=x(x+3)-1(x+3)
=x^2+3x-1x-3
=x^2+2x-3
3)(x-2)(x+9)
=x(x+9)-2(x+9)
=x^2+9x-2x-18
=x^2+7x-18
4)(2x+2)(x+9)
=2x(x+9)+2(x+9)
=2x^2+18x+2x+18
=2x^2+20x+18
5)(x-7)(3x+2)
=x(3x+3)-7(3x+2)
=3x^2+3x-21x-14
=3x^2-18x-14
NUMBER 1
(x + 5)(x + 8)
- factor the x
=x(x +8)+5(x + 8)
-Distribute
=x^2+8x+5x+40
-Combine like terms
=x^2+13x+40
-Final answer
NUMBER 2
(x-1)(x+3)
-Factor
=x(x+3)-1(x+3)
-Distribute
=x^2+3x-1x-3
-Combine like terms
=x^2+2x-3c
NUMBER 3
(x-2)(x+9)
-Factor
=x(x+9)-2(x+9)
-Distribute
=x^2+9x-2x-18
-Combine like terms
=x^2+7x-18
-Final answer.
NUMBER 4
(2x+2)(x+9)
-Factor
=2x(x+9)+2(x+9)
-Distribute
=2x^2+18x+2x+18
-Combine like terms
=2x^2+20x+18
-Final answer.
NUMBER 5
(x-7)(3x+2)
-Factor
=x(3x+3)-7(3x+2)
-Distribute
=3x^2+3x-21x-14
-Combine like terms
=3x^2-18x-14
-Final answer.
Suppose that an experiment is repeated four times. A certain event has probability 1/10 in a single repetition of the
experiment. What is the probability that the event occurs every time in the 4 trials?
2/5
1/40
1/10,000
Answer:
it's not 2/5 I got it wrong the correct answer is 1/10,000
Step-by-step explanation:
Please help sorry I’m dumb
write 6691 to the nearest 1000
Answer:
7000
Step-by-step explanation:
Answer:
7000 is your answer.
Step-by-step explanation:
PlS HELP ASP HURRY BEST ANSWER GETS TO PICK BRAINLESST OR FOLLOW!!!
Answer:
Step-by-step explanation:
1. 6 L = 6000 mL
2. 54000 mL = 54 L
3. 11000 mL = 11 L
4. 13 L = 13000 mL
5. 23500 mL = 23.5 L
6. 0.201 L = 201 mL
Answer:
1. = 6000 ML 2.= 13000 ML 3.= 54 L 4.= 23.5 L 5.= 11 L 6.= 201 ML
Step-by-step explanation:
too find answer for ML divide it by 1000
and for L multiply it by 1000
What’s the surface area of this prism?
Answer:
128 in2
Step-by-step explanation:
How does the graph of y= Vx+2 compare to the graph of the parent square root function?
The graph is a horizontal shift of the parent function 2 units right.
The graph is a horizontal shift of the parent function 2 units left.
The graph is a vertical shift of the parent function 2 units up.
The graph is a vertical shift of the parent function 2 units down.
Answer:
a) The graph is a horizontal shift of the parent function 2 units right.
Step-by-step explanation:
Explanation:-
Type of transformation Change to co-ordinate point
Vertical translation up 'd' units (x,y) →(x ,y+d)
Vertical translation down 'd' units (x,y) →(x ,y- d)
Horizontal translation left 'c' units (x,y) →(x-c ,y)
Horizontal translation right 'c' units (x,y) →(x+c ,y)
Reflection over X-axis (x,y) →(x ,-y)
Reflection over y-axis (x,y) →(-x ,y)
Given graph f(x) = √x
The graph is a Horizontal shift of the parent function '2' units right
Therefore the transformation of the graph [tex]y = \sqrt{x+2}[/tex]
PLEASE HELP ASAP AND SHOW YOUR WORK
Answer:
67
Step-by-step explanation:
you add the length
GIVING OUT BRAINLIEST
If c is a constant such that x^2+100x+c is equal to the square of a binomial, then what is c?
Answer:
c = 2500
Step-by-step explanation:
[tex]x^2+100x + c\\x^2+2\times 50\times x + (50)^2\\=x^2+2\times 50\times x + 2500\\=x^2+100 x + 2500\\equating \: it \: with\: \\x^2+100x + c\\we\; find:\\c = 2500[/tex]
Answer:
c = 2500
Step-by-step explanation:
x² + 100x + c where c = ?
100 x : 100x / 2x = 50
(50)² = 2500
HOPE ITS HELPFUL!!
Find the length of the radius for this circle.
(x - 3)² + (y - 5)² = 8
8
4
2√2
1.) What is the surface area of the figure below?
Answer:
Step-by-step explanation:
length (l) = 3 ft
Width (w) = 3 ft
Height (w) = 6 ft
Surface area = 2*( lw + wh + hl)
= 2* (3*3 + 3*6 + 6*3)
= 2*(9 + 18 + 18)
= 2 * 45
= 90 square ft
Consider triangle DEF. The legs have a length of 36 units
What is the length of the hypotenuse of the triangle
18 units
1872 units
36 units
36/7 units
Answer:
[tex]\large \boxed{36\sqrt{2}\text{ units}}[/tex]
Step-by-step explanation:
Assume ∆DEF looks like the one below.
We can use Pythagoras' Theorem to find the hypotenuse f.
[tex]\begin{array}{rcl}d^{2} + e^{2} & = & f^{2}\\36^{2} + 36^{2} & = & f^{2}\\f^{2} & = & 2 \times 36^{2}\\f & = & \sqrt{2 \times 36^{2}}\\& = & 36\sqrt{2}\\\end{array}\\\text{The length of the hypotenuse is $\large \boxed{\mathbf{36\sqrt{2}}\textbf{ units}}$}[/tex]
Please Help Me. Work must be shown for this problem. Solve for x. Round answers to the nearest hundredth (2 decimal places).
Answer:
About 188.71 feet
Step-by-step explanation:
The cosine of an angle is equivalent to the adjacent side divided by the length of the hypotenuse. Therefore:
[tex]\cos 58=\dfrac{100}{x} \\\\x=\dfrac{100}{\cos 58}\approx 188.71[/tex]
Hope this helps!
Answer:
x = 188.71
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adjacent/ hypotenuse
cos 58 = 100/x
Multiply by x
x cos 58 = 100
Divide by cos 58
x = 100/cos 58
x =188.7079915
To the nearest hundredth
x = 188.71
2{ 3[9 + 4(7 -5) - 4]} can you guys help me
The answer is 78
Please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Answer:
[tex] = 78[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Find the value of x in the triangle
Answer:
x =3.
Step-by-step explanation:
This is an isosceles triangle so the 2 sides opposite the equal angles are congruent.
So 3x + 2 = 11
3x = 9
x = 3.
Answer:
49 and 2/3
Step-by-step explanation:
3x+2+18+11=180
3x+31=180
3x=149
x=49 and 2/3
When will there be 0 pennies in the jar?how did you figured this out?
Brainlist and thanks if correct
screenshot is below thats question. ty
Answer:
x=-4
Step-by-step explanation:
Ohhh you wrote 4 on the other post, not 4x.
Okay.
6(x+3)-4x=10
6x+18-4x=10
2x=-8
x=-4
Answer:
The value of [tex]x[/tex]:
[tex]x = -4[/tex]
Step-by-step explanation:
Solve for [tex]x[/tex]:
[tex]6(x+3) - 4x = 10[/tex]
Use Distributive Property:
[tex]6(x+3) - 4x = 10[/tex]
[tex]6x + 18 - 4x = 10[/tex]
Combine [tex]6x[/tex] and [tex]-4x[/tex] together:
[tex]6x + 18 - 4x = 10[/tex]
[tex]2x + 18 = 10[/tex]
Subtract both sides by [tex]18[/tex]:
[tex]2x + 18 - 18 = 10 -18[/tex]
[tex]2x = -8[/tex]
Divide both sides by [tex]2[/tex]:
[tex]\frac{2x}{2} = \frac{-8}{2}[/tex]
[tex]x = -4[/tex]
So, therefore, the final answer is [tex]x = -4[/tex] .
Please Help!!
Quadrilateral HIJK is similar to quadrilateral STUV. What's the scale factor from HIJK to STUV?
A)
3
B)
2∕3
C)
1∕2
D)
1∕3
Answer:
D
Step-by-step explanation:
18(Side of HIJK)/6(Corresponding side of STUV) = 1/3
could you use the formula for the surface area of a rectangular prism to find the surface area of a cube explain please help me.
Answer:
You can use our formula for the surface area of a rectangular prism for a cube as well. A cube is a rectangular prism where all its sides are the same. The formula to find the surface area of a rectangular prism is A = 2wl + 2lh + 2hw, where w is the width, the l is the length, and the h is the height.
Find the volume of each cylinder. Which cylinder has the greater volume? Use 3.14 for p.
Answer:
Cylinder B
Step-by-step explanation:
V = [tex]\pi r^{2} h[/tex]
Cylinder A : π × 3² × 5 = 141.37
Cylinder B: π × 5² × 3 =235.62
Side A B is parallel to Side D E in the map below.
Triangle A B C. Side A B is 15 feet and side B C is 9 feet. Triangle C D E. Side C D is 6 feet and side D E is x feet.
Which proportion solves for the distance between D and E?
StartFraction 9 Over 6 EndFraction = StartFraction x Over 15 EndFraction
StartFraction 6 Over x EndFraction = StartFraction 15 Over 9 EndFraction
StartFraction 9 Over 6 EndFraction = StartFraction 15 Over x EndFraction
StartFraction 6 Over 15 EndFraction = StartFraction 9 Over x EndFraction
Answer:
I think its C
Step-by-step explanation:
Answer:
its c
Step-by-step explanation:
70 times 10 by the power of 2
Answer:
I'm not sure which you mean, so I'll give the answer to both:
[tex]70 X 10^2 = 7000\\(70x10)^2 = 490000[/tex]
Subtract the equations.
5x + 4y 25- (5x +2y-3)
A. -10x= 28
B. 10x = 28
C. 6y=28
D. 2y= 22
Answer:
d
Step-by-step explanation:
