Answer:
Step-by-step explanation:
A) 12x² y⁵z = 2² * 3 * x² * y⁵ * z
150x⁶y⁵z = 5² * 2 * 3 * x⁶ * y⁵ * z
66y⁹z = 2 * 3 * 11 * y⁹ * z
GCF = 2 * 3 * y⁵ * z = 6y⁵z
B) 4x² - 40x + 100 = (2x)² - 2 * 2x * 10 + 10²
= (2x - 10)²
C) 81x² - 64 = (9x)² - 8² {a² - b² = (a + b)(a - b)}
= (9x + 8)(9x - 8)
D) (a + b)² = a²+ 2ab + b²
E) a² - b² = (a + b)(a - b)
Answer:
Simplifying 4x2y + 12xy2 + 9y3 Reorder the terms: 12xy2 + 4x2y + 9y3 Factor out the Greatest Common Factor (GCF), 'y'. y(12xy + 4x2 + 9y2) Factor a trinomial.
Step-by-step explanation:
Subtracting Perfect Squares · (a+b)(a-b)=a2-b · Example · 4x2-9= · Subtracting Perfect Cubes · a3-b3=(a-b)( · Adding Perfect Cubes · x3+27=(x+3)(x2-3x+9).
PLEASE HELP WILL GUVE BRAINLIEST!!!!!!
Mateo is on the track team and he competes in the 1,500-meter run. For each track meet, he
sets a goal of beating his fastest training time of the week by 4 seconds. Let t be Mateo's
fastest time of the week and g be his goal time for the next meet.
Answer:
G=t-4
Step-by-step explanation:
because he wants to do 4 less than his time so its gonna equla his goal once he get there
Hope it might help
anyone question 8 pleaseeeeeeeeeee
Answer:
$200 and $450
Step-by-step explanation:
We can start by assigning variables to our unknowns.
Our unknowns are the price for a DVD player and the price for a television.
x= price of a television
y= price of a DVD player
Next, let's translate the given information into a system of equations.
two televisions and three DVD players for $1750
2x+3y=1750
four televisions and one DVD player for $1250
4x+y=1250
Since the instructions did not specify, I will use substitution to solve, however you can also use elimination.
First, from the second equation, we subtract 4x from both sides.
4x+y-4x=1250-4x
y=1250-4x
Now we plug 1250-4x for y in the first equation.
2x+3y=1750
2x+3(1250-4x)=1750
Distribute.
2x+3*1250-3*4x=1750
Simplify.
2x+3750-12x=1750
Combine like terms.
-10x+3750=1750
Subtract 3750 from both sides
-10x+3750-3750=1750-3750
-10x=-2000
Divide both sides by -10
x=200
A television costs $200.
Now using that, we can plug that into one of the original equations. I'll use the second one.
4x+y=1250
4(200)+y=1250
800+y=1250
Subtract 800 from both sides.
y=450
A DVD player costs $450
You can plug those values back into the other equation (the first one) to double-check if you'd like as well.
For each question, solve for the length of the unknown side, as
denoted by the variable. You may round your answers to the nearest
tenth, if necessary. Make sure you show all steps needed to solve the
problem.
Answer:
[tex]a=9[/tex]
Step-by-step explanation:
In this problem, you can use the Pythagorean Theorem ([tex]a^{2} +b^{2} =c^{2}[/tex]) to find what a is. The steps are shown below:
Steps (variables a, b, and c are in italics):
-You can rearrange the formula from the Pythagorean Theorem, which is[tex]a^{2} +b^{2} =c^{2}[/tex] to only get a because we want to know what a is.
Rearranged: [tex]a=\sqrt{c^{2}-b^{2} }[/tex] or [tex]a=-\sqrt{c^{2}-b^{2} }[/tex] It has to ways/options for a because when finding the square root of a number, it can be either positive or negative. But in this problem, it’s going to be positive because we’re finding the length of something.
-Since we know what c and b are, you can plug them into the new formula:
[tex]a=\sqrt{15^{2}-12^{2} }[/tex]
-Simplify it:
[tex]a=\sqrt{225-144}[/tex]
-Subtract inside the radical:
[tex]a=\sqrt{81}[/tex] Then simplify it to get [tex]a=9[/tex].
You can check your answer by putting a back into the original Pythagorean Theorem formula ([tex]a^{2} +b^{2} =c^{2}[/tex]):
Steps
-Plug a, b, and c into the formula [tex]a^{2} +b^{2} =c^{2}[/tex]:
[tex](9)^{2} +(12)^{2} =(15)^{2}[/tex]
-Simplify to get:
[tex]81+144=225[/tex]
-Add:
[tex]225=225[/tex] This is very true. So our answer is correct.
ANSWER: [tex]a=9[/tex]
Sorry for the long explanation, but I hope you understand and that this helps with your question! :)
Answer:
a = 9Step-by-step explanation:
lets make is short and simple
Pythagorean theorem: a² + b² = c²
a² + 12² = 15²
a² = 15² - 12²
a = √81
a = 9
PLEASE HELP!!!!!!!!
What is the value of x
3x+14+5x-2=10x-18
Thank you sooooo much have a blessed day
Help w this pls it would save me
Pleasereeee
Answer:
0.6 over 0.6. Or just 1.
Step-by-step explanation:
i need a very smart person to help me solve this
Answer:
0.3
Step-by-step explanation:
If f(x) = -3x + 5, find f(2).
Answer:
f(2)= -1
Step-by-step explanation:
f(2)=-3(2)+5= -6+5= -1
Answer:
-1
Step-by-step explanation:
f(x)=-3x+5
f(2)= -3(2)+5
=-6+5 = -1
PLEASE HELP ASAP!!! VERY EASY!
Lucia draws a square and plots the center of the square. She claims that any rotation about the center of the square that is a multiple of 45 will carry the square onto itself
Answer:
The second lucia’s claim is correct since any rotation that are multiple of 45 carry a square onto itself.
Step-by-step explanation:
Answer:
Lucian claim is incorrect because not all rotations that are multiples of 45 degrees carry a square onto itself
Step-by-step explanation:
90 degrees carries a square into itself and it IS a multiple if 45. But 45 degrees cannot carry a square into itself.
137 students went on a field trip. five buses were filled and 7 students traveled in cars.
How many students were in each bus?
Answer:
Step-by-step explanation:
if we have 137 students, and out of this number 7 were in cars
137-7=130 students in buses
there are 5 buses
130/5=26
26 students in each bus
helppppppansjfnnsnwkgn
Answer:
the third one P N M
Step-by-step explanation:
Answer:
NPM
Step-by-step explanation:
i got you fammmmmmmmm
Help plisssssssssssssss!!!
Answer:
Question 2: v = 25n
Question 3: b (the output is 250 because 10 quarters is 250 cents)
Step-by-step explanation:
Each quarter is worth 25 cents. n represents the number of quarters you have. The number of quarters you have multiplied by 25 with give the value of the quarters in cents.
v = 25n
v = 25(10)
v = 250
(v represents the value in cents)
I need Help please #24
Answer:
13
Step-by-step explanation:
13 because 13 times 14 is 182
Write 1.33 x 10^6 in standard notation
Answer:
14.098
Step-by-step explanation:
Please help! Brainliest!
Also if you leave a dumb answer i WILL report you :)
Answer:
C
Step-by-step explanation:
It is C because I can plot all those points and they are still on the blue line. If you don't believe me, plug them in to y=-3/2x+2, (-4,8 plugged in would look like this 8=-3/2(-4)+2 just plug the x and y coordinates in) and they will be correct.
Hope this helps plz hit the crown:D
Answer:
B
X can be any real number, there are a lot of solutions for y = -3/2x+2 so the answer is not C or D
for a given x,y can only be y=-3/2*x+2 not any value y so the answer is not A
Since for a given x,y can only be y=-3/2*x+2 the solutions will be ~x,y = -3/2*x+2) or ~x, -3/2*x+2~ for all real numbers
Hope I helped
I’ll give the Brainliest to who answers the question with and reasonable explanation.
When is the constant of proportionality the same as the unit rate when comparing two quantities?
A. Only when the two quantities are indirectly proportional
B. Only when the two quantities are directly proportional
C. Always
D. Never
Thank you!
Answer:
it's A
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
Just got it correct
30 inches in centimetres
Answer:
76.2 cm
Step-by-step explanation:
If you convert, said inches, it wouldn't be an exact number, but it would equal 76.2.
Brandon and his son went fishing. Brandon caught 3 3/4 kg of fish while his son caught 2 1/5 kg of fish. What is the total weight of the fishes that they caught?
Answer:
5 19/20
Step-by-step explanation:
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
Answer:
5 19/20
Step-by-step explanation:
PLEASE HELP! Whoever answers correctly will get brainliest
Answer:
The statement at the top says that the triangles are 'similar'. That means that the corresponding angles are equal, and each pair of corresponding sides have the same ratio. From the 4 and the 8, you can see that each side in the small one is 1/2 the length of the corresponding side in the big one. So the missing sides are 1/2 the length of the 7 and the 12.
You deposit $500 in an account that earns 4% simple annual interest entrance and each year is added to the principal to create a new principal find the total amount in your account after each year for three years
Answer:
first year $20 second year $20.80 Third year $21.63
Step-by-step explanation: This is for an extra money per year so after the first year that is how much extra money he gets every year.
Question: Find the missing side.
Answer:
17
Step-by-step explanation:
Use the Pythagorean Theorem, [tex]a^{2} +b^{2} =c^{2}[/tex]
In this situation, you would use the equation as [tex]8^{2} +15^{2} =x^{2}[/tex]
pls help! will give brainlist!
write a story that could describe the expression:
- 9 - 5x
Answer:
sneha was owing one of her friends 9$, she asked them for another 5 dollars
now she owes 14
Step-by-step explanation:
Please help me out!
Answer:
c
Step-by-step explanation:
When you reflect a point over the x-axis you negate the y value.
True
False
Answer:
True.
Step-by-step explanation:
The rule for reflecting the X value is to negate the Y value but leave the X as it is.
Example: K= (7,2) when reflected it would be (7,-2).
Jermiah finished 3/4 of his timed math quiz. Of those he attempted he correctly answered 5/9 of the problems. What fractional part of the quiz did he get correct?
Answer:
5/12
Step-by-step explanation:
Jermiah finished 3/4 of his timed math quiz. Of those he attempted he correctly answered 5/9 of the problems. What fractional part of the quiz did he get correct?
The above question is solved below.
The Fractional part of the quiz he got correctly is
5/9 of 3/4 of his timed maths test
= 5/9 × 3/4
= 5/12
He got 5/12 of his quiz correctly.
Need answers
Chapter 3 geometry test on big ideas math
Answer/Step-by-step explanation:
WX: 4.47
[tex]4^{2} + 2^{2} = 20\\\sqrt{20} = 4.47[/tex]
XY: 3.61
[tex]3^{2} + 2^{2} = 13\\\sqrt{13} = 3.61[/tex]
YZ: 4.12
[tex]1^{2} + 4^{2} = 17\\\sqrt{17} =4.12[/tex]
WZ: 4.24
[tex]3^{2} + 3^{2} = 18 \\\sqrt{18} = 4.24[/tex]
The slopes of the lines are:
WX = 2
XY = -1.5
YZ = 4
WZ = -1
Given is a polygon on a coordinate plane with vertices =
W = (-5, 1)
X = (-3, 5)
Y = (-1, 2)
Z = (-2, -2)
We need to find the slopes of line =
WX, XY, YZ and WZ
To find the slopes of the lines connecting the vertices of the polygon, we can use the formula for the slope between two points (x₁, y₁) and (x₂, y₂):
slope = (y₂ - y₁) / (x₂ - x₁)
Let's calculate the slopes for each line:
1) Slope of line WX:
W = (-5, 1)
X = (-3, 5)
slope(WX) = (5 - 1) / (-3 - (-5))
= 4 / 2
= 2
So, the slope of line WX is 2.
2) Slope of line XY:
X = (-3, 5)
Y = (-1, 2)
slope(XY) = (2 - 5) / (-1 - (-3))
= -3 / 2
= -1.5
So, the slope of line XY is -1.5.
3) Slope of line YZ:
Y = (-1, 2)
Z = (-2, -2)
slope(YZ) = (-2 - 2) / (-2 - (-1))
= -4 / (-1)
= 4
So, the slope of line YZ is 4.
4) Slope of line WZ:
W = (-5, 1)
Z = (-2, -2)
slope(WZ) = (-2 - 1) / (-2 - (-5))
= -3 / 3
= -1
So, the slope of line WZ is -1.
Therefore, the slopes of the lines are:
WX = 2
XY = -1.5
YZ = 4
WZ = -1
Learn more about slope of a line click;
https://brainly.com/question/16180119
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Mark drew a line to fit the data in a scatter plot as shown What is the equation of the line that Mark drew?
Answer:
Step-by-step explanation:y=1/4 X +6
Answer:
y= 1/4x+ 6
Step-by-step explanation:
Because the line intersects the y-axis at 6, we know the y-intercept, b, is 6.
By counting, we can see the line rises 1 unit for every 4 units it runs to the right. So, the slope, m, of the line is 1/4.
Substitute m and b into the slope-intercept equation, y = mx + b. The equation of the line is y = 1/4 x + 6.
State if each triangle is a right triangle: *
13 in
2 in
12 in
Answer:
It would be a obtuse triangle instead
Step-by-step explanation:
By using pythagorean and theorem (a^2 + b^2 = c^2)
So it would be 13^2___2^2 + 12^2
When you square them, you get 169___4 + 144
144 + 4 = 148, which is less than 169
SO it would be 169>148
So no, not a right triangle
What best describes the relationship between line 6x - 2y = 1 and the line x + 3y = 12?
is it parallel, perpendicular, or neither?
Both the lines are perpendicular lines.
What is Equation of line?The equation of line passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;
y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The equation of lines are,
⇒ 6x - 2y = 1 and x + 3y = 12.
Now,
Since, The equation of lines are,
⇒ 6x - 2y = 1 and x + 3y = 12.
Hence, Find the slopes of the lines as;
⇒ 6x - 2y = 1
⇒ 2y = 6x - 1
⇒ y = 3x - 1/2
⇒ m₁ = dy/dx = 3
And, From second line,
⇒ x + 3y = 12.
⇒ 3y = - x + 12
⇒ y = - 1/3x + 4
⇒ m₂ = dy/dx = - 1/3
Clearly, We get;
⇒ m₁ m₂ = 3 × - 1/3
= - 1
Thus, Both the lines are perpendicular lines.
Learn more about the equation of line visit:
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Show all work to factor x4 – 17x2 + 16 completely.
Answer:
(x - 4)(x + 4)(x - 1)(x + 1)
Step-by-step explanation:
Given
[tex]x^{4}[/tex] - 17x² + 16
Use the substitution u = x², then
u² - 17u + 16
Consider the factors of the constant term (+ 16) which sum to give the coefficient of the u- term (- 17)
The factors are - 16 and - 1, then
u² - 17u + 16
= (u - 16)(u - 1) ← replace u by x²
= (x² - 16)(x² - 1) ← both factors are difference of squares
= (x - 4)(x + 4)(x - 1)(x + 1)
Answer: -18
Step-by-step explanation: x4-17x2+16= -18
i am not completely sure but here. i hope this helps god bless
Solve the following equation below.
Answer:
x=3 C
Step-by-step explanation:
5x-13=-3x+11
8x-13=11
8x=24
x=3
Answer:
the answer is x=3
Step-by-step explanation:
i hope this help you