Answer:
Factorise both sides of
ax+bx=a2−b2
and get
(a+b)x=(a+b)(a−b).
If
a+b≠0,
because division by 0 is not allowed, then divide by a + b and get
(a+b)xa+b=(a+b)(a−b)a+b.
It reduces to
x=a−b.
If a+b=0, then
ax+bx=a2−b2 is
(a+b)x=(a+b)(a−b)
and this simplifies to
0x=0(a−b),
that is,
0=0,
so that the value of x is indeterminate.
A block of sugar maple wood has a mass of 82.8 g and density of 0.69 g/cm3. The block is a rectangular prism with a length of 5 cm and a width of 4 cm. What is the height of the block of sugar maple?
Answer:
6
Step-by-step explanation:
I believe if you fallow the mathematical process of d=m/v you will get 6
The height of the block of the sugar maple from the rectangular prism is 6 cm.
What is the volume of a rectangular prism?The volume of a rectangular prism signifies the rectangular area enclosed by the prism. The equation used in calculating the formula for a rectangular prism can be expressed as:
V = length × width × height
From the parameters given:
mass of a sugar maple = 82.8 gThe density of the sugar maple = 0.69 g/cm³[tex]\mathbf{Desity = \dfrac{mass}{volume}}[/tex]
[tex]\mathbf{volume = \dfrac{82.8 g }{0.69 \ g/cm^3}}[/tex]
volume = 120 cm³
Using the previous equation for calculating the volume of a rectangular prism, we have:
120 cm³ = 5 cm × 4 cm × height
120 cm³ = 20 cm² × height
height = 120 cm³/20 cm²
height = 6 cm
Learn more about a rectangular prism here:
https://brainly.com/question/128724
Neeeeeeeeeed helppppppppppppp
Value of x (2x+43) (2x-3)
Answer:
-46
Step-by-step explanation:
2x+43=2x-3
We simplify the equation to the form, which is simple to understand
2x+43=2x-3
We move all terms containing x to the left and all other terms to the right.
+2x-2x=-3-43
We simplify left and right side of the equation.
0x=-46
0=-46
The left and right sides are not equal, therefore there is no solution. This equation is invalid.
What is 2 units up and 0 to the right from (-4,2).
Answer:
Step-by-step explanation:
What is 2 units up and 0 to the right from (-4,2).
Answer:
(-4,4)
Step-by-step explanation:
I WILL GIVE THE BRAINLIEST TO WHOEVER CAN SOLVE THIS RIGHT NOW!!
Central Park is shaped like a rectangle. Two diagonally-opposite corners of the park are located at (-8, 6) and (5, -4) on the coordinate plane.
Which coordinate pairs are the locations of the other two corners?
The two coordinate pairs for the locations of the other two corners are shaped in rectangle. Two diagonally oposite corners of the park are located ( - 6, 3) and (3, 4)
Hope this helped you!
(pls branliest too thanks)
You choose two different movies on a list at random. Out of 10 movies on the list, 6 are action movies. The first movie you choose is an action movie. What is the probability that the second movie is also an action movie? Write your answer as a fraction in simplest form.
Answer:
5/9
Step-by-step explanation:
You have 10 movies in total. You take 1 out of 6 action movies. Now you have 5 action movies left, so that means the probability is 5/9. It's 5/9 because you chose 1 action movie out of 10 movies in total, so that means there are 9 movies in total left.
Hopes this helps and makes sense!
From the set {7, 15, 18), which of the values can be substituted for c to make the
equation true.
90 - 2c = 60
A. 7
B. 18
C. none of these
D. 15
Answer:
D. 15
Step-by-step explanation:
90 - 30 = 60
2 • 15 = 30
the answer is 15
Which equation represents a circle with a center point of (-2,3) that passes through the point (4, -3)?
PLEASE HELP ASAP IM GIVING BRAINLIEST
Answer:
[tex]A) (x+2)^{2} +(y-3)^{2} =72[/tex]
Step-by-step explanation:
[tex]Radius=\sqrt{(4+2)^{2}+(-3-3)^{2} }[/tex]
[tex]=\sqrt{6^{2} +6^{2} } =6\sqrt{2 }[/tex]
[tex]equation:[/tex]
[tex](x+2)^{2}+(y-3)^{2} =(6\sqrt{2}^{2})\\[/tex]
[tex](x+2)^{2}+(y-3)^{2} =72[/tex]
-----------------------------------
hope it helps...
have a great day!!
The equation represents a circle is option (A) (x+2)^2 +(y-3)^2 = 72 is the correct answer.
What is a circle?A circle is a collection of all points in a plane which are at a constant distance from a fixed point. A circle is a round-shaped figure that has no corners or edges.
For the given situation,
The center of the circle, (h,k) = (-2,3)
The point on the circle, (x,y) = (4,-3)
The radius of the circle is
[tex]r=\sqrt{(h-x)^{2} +(k-y)^{2} }[/tex]
⇒ [tex]r=\sqrt{(-2-4)^{2} +(3-(-3))^{2} }[/tex]
⇒ [tex]r=\sqrt{6^{2}+6^{2} }[/tex]
⇒ [tex]r=\sqrt{72}[/tex]
The formula of equation of circle is
[tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex]
The circle has the center (h,k) = (-2,3) and radius is √72,
⇒ [tex](x-(-2))^{2}+(y-3)^{2}=(\sqrt{72} )^{2}[/tex]
⇒ [tex](x+2)^{2}+(y-3)^{2}=72[/tex]
Hence we can conclude that the equation represents a circle is option (A) [tex](x+2)^{2}+(y-3)^{2}=72[/tex] is the correct answer.
Learn more about circles here
https://brainly.com/question/27421661
#SPJ2
HELP ASAP!!draw dotted lines to show the parallelogram or rectangle that can be used to find the area of each triangle then find the area of each triangle
Answer:
The rectangle that we could use to find the area of the yellow triangle, is a rectangle of length = 12cm and a width = 8 cm. (A image of this can be seen below).
Remember that:
The area of a rectangle of length L and width W is:
A = W*L
The area of a triangle rectangle with catheti a and b is:
A = a*b/2
Then the area of the rectangle of length = 12cm and width = 8cm is:
A = 12cm*8cm = 96 cm^2
Now we need to subtract twice the area of a triangle rectangle of catheti a = 8cm and b = 6cm
(one cathetus is 6cm because is exactly half of the length of the rectangle)
The area of each one of these triangle rectangles is:
A' = 8cm*6cm/2 = 24cm^2
The area of the yellow triangle will be:
A = A - A' = 96cm^2 - 2*24cm^2 = 48cm^2
Help plsss no links!!! What is the measure of X in degrees?
Answer:
40⁰
Step-by-step explanation:
As triangle is isosceles,
Z = Y = 70⁰
Thus X = 40⁰, to corporate angle sum property
Which model represents 1/2 divided by 1/6?
Answer:
The answer I believe is : D.
~ Hope this is correct, if I'm wrong I'm sorry, have a gr8 day/ night my friend!~
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
In the figure shown
A) 4
B)12
C)26
D)34
HELP ASAP WILL MAKE BRIANLIEST
Answer:
C
Step-by-step explanation:
x+8+2x+4=90
3x+12=90
3x=78
x=26
What is the area of the rectangle
Answer:
20
Step-by-step explanation:
Subtract the 2 from the width of 7, and then multiply the height by the width.
4x5=20
please help. will give brainliest! review the table of values for function p(x). what is lim (x -14) p(x), if it exists? (table and answer options pictured)
Answer:
DNE
Step-by-step explanation:
The the given table, we have;
As x approaches -14 from the left, at x = -14.001, p(x) = 1.96
[tex]\lim \limits _{x \to -14^{-}} p(x) = 1.96[/tex]
As x approaches -14 from the right, at x = -13.999, p(x) = 1.97
[tex]\lim \limits _{x \to -14^{+}} p(x) = 1.97[/tex]
The value of p(x) when x = -14 is [tex]\lim \limits _{x \to -14} p(x)[/tex] = Undefined, or is not definable, therefore, p(x) Does Not Exist (DNE) when x = -14, and we have;
[tex]\lim \limits _{x \to -14} p(x)[/tex] Does Not Exist, DNE.
Answer
It's C. 2 on edge.
Step-by-step explanation:
Which drawing shows lines that are PARALLEL?
Answer:
Step-by-step explanation:
I don’t see any pictures
If my initial angle is 30 degrees, what is the negative coterminal angle?
Answer:
Step-by-step explanation:
Coterminal angles are angles in standard position (angles with the initial side on the positive x -axis) that have a common terminal side. For example 30° , −330° and 390° are all coterminal.
Answer:
-330°Step-by-step explanation:
Coterminal angles have a difference of 360° or multiples of 360°.
Negative coterminal angle with 30° is:
30° - 360° = -330°Jean-Luc is shopping for a gift for a friend. He will need to pay an additional 7% sales tax on anything he buys. He can spend a total of $40 on the gift, including the tax.
Part A: Suppose that a certain gift costs d dollars before the tax is added. Write an inequality to show that the total cost that Jean-Luc would spend on the item is no more than $40.
Part B: Solve the inequality for d. What is the price in dollars, before the tax is added, of the most expensive gift th
Answer:
i dont know
Step-by-step explanation:
-0.85 - (-¼) + 0.4 + (-⅖) ?
what is the value of this expression?
Answer:
-0.6
Step-by-step explanation:
-0.85-(-1/4)+0.4+(-2/5)
=-0.85+0.25+0.4-0.4
=-0.6
HELPPPPZ WORTH 30 POINTS AND BRAINLIEST
You don't need help my dude, you already have all of the right answer. Good job!!!
Solve by Elimination:
x + 6y = 28
2x - 3y = -19
Answer:
x=-2
y=5
Step-by-step explanation:
x=28-6y
2x-3y=-19
(substitute the value of x)
2(28-6y)-3y=-19
y=5
x=28-6*5
x=-2
6.
The time t required to drive a certain distance varies inversely with the speed r. If it takes 2 hours to drive the distance at 40 miles per hour, how long will it take to drive the same distance at 45 miles per hour?
A. 80 hours
B. 900 hours
C. about 1.78 hours
D. 2.25 hours
Answer:
C. about 1.78 hours
Step-by-step explanation:
Answer:
1.78 hours
Step-by-step explanation:
If t varies inversely with the speed, the formula for that is t= \frac{k}{r} . If t = 2 and r = 40, then we can solve for k, the constant of variation. Multiply both sides by 40 to get k = 80. Now we need to find the value for t when r = 45. Using the k value we just solved for, we will fill in the equation as t= \frac{80}{45} for a t value of about 1.78 hours
...............................................................................................................................................
Answer: about 1.78 hours
...............................................................................................................................................
t = k/r
2 = k/67
k = 134 (which happens to be the distance)
t = 134/r
t = 134/55
t = 2.436 hours
...............................................................................................................................................
The formula for this is t = k/r, read "t varies inversely as r". If the info they give us is 4 hours and 35 miles per hour, we find that k = 140. Now use that 140 in another equation to solve for t: t = 140/45, and t = 3.1 hours
...............................................................................................................................................
t = k/r\
4 hours and 35 miles per hour,
we find that k = 140.
Now use that 140 in another equation to solve for t:
t = 140/45, and
t = 3.1 hours
This helped me so much thank you!!!!!!
Answer:
Your profile picture I love it
Complete the sentence.
1. If 5/8 = m/n, then 10/16 =
2. If 7/p = 3/q, then 7+p/p =
3. If 9+m/m = 9/3, then 9/m =
PLS HELP. I NEED THIS DONE ASAP. ITS DUE TODAY :(
Answer:
1. 2m/2n
2. 3/q + 1
3. 9/3 - 1
Step-by-step explanation:
i think this is the ans
What was an effect of the Second Punic War?
ФCarthage remained a major trading center.
ФRome gained control over Sicily and Greece.
ФRome maintained control of Egypt and Spain.
ФCarthage became a major military rival to Rome.
please answer ASAP!!!!! I'm on a times unit test on edge please help ASAP!!!!!
Answer:
ithink its a or c
Step-by-step explanation:
not sure but dang what grade u in??
PLSS HELP IMMEDIATELY!!!! ILL MARK BRAINIEST IF U DONT LEAVE A LINK OR GUESS!!!! (and it’s not multiplying. i already tried that)
Answer:
120cm³
Step-by-step explanation:
The volume of a rectangular prism is the length multiplied by the width and height. You may not have multiplied correctly or multiplied all of the dimensions.
So, let's multiply our dimensions, 4cm × 6cm × 5 cm.
4 · 6 · 5 = 120
4 times 6 equals 24, then 24 times 5 is 120.
The volume of the box, then, is 120cm³. Remember to use the ³ (cubed) sign for volume.
Good luck :)
Please check my answer if you can. i got 600 with help from a brainly tutor but i don't think it is correct
I think I know this one.
Answer: V = 600 unit 2
Step-by-step explanation:
We have that
the volume of the rectangular pyramid is
V = (1/3) BH
where
B is the area of the rectangular face
H is the height of the pyramid
step 1
Find out B
B = (15)(10) unit 2
step 2
Find the volume
B = 150 unit 2
H = 12 unit
substitute
V = (1/3)(150)(12)
V = 600 unit 2
I hope this help you! :)
what do I do and how
Answer:
f(x) is another way of saying "y", but when x is replaced with a number, it just means that x = that number.
Since A says to find f(7), it means that in this scenario, x = 7. So, 2x - 5 is turned into 2(7) - 5, which equals 14 - 5, which equals 9.
So, f(7) = 9.
You can then apply this to the rest of the numbers you are given.
I hope this helps! :)
Фhelp me out please im so confused!
pleaSE?
Answer:
Step-by-step explanation:
I can't really tell from the image but it looks like the lines are parallel to each other
please help me do this question i cant seem to get it
Answer:
2 < x < 24
Step-by-step explanation:
Given 2 sides of a triangle then the third side x is in the range
difference of 2 sides < x < sum of 2 sides , that is
13 - 11 < x < 13 + 11
2 < x < 24
What is the area of the polygon? Show your work!
Answer:
6+6=12 cm
4+4=8 cm
6+6= 12 cm
Add all together and it equals 32
Step-by-step explanation:
Answer:
64
Step-by-step explanation:
I LOVE DOING THESE
4x6=24
24x0.5=12
12x4=48
4x4=16
48+16=64
