Answer: [tex]\Large \boldsymbol{} (x-y-z+1)(x+y-z-1)[/tex]
Step-by-step explanation:
[tex]\Large \boldsymbol{} 1) \ {(a-b)^2=a^2+2ab+b^2 } \\\\2) \ {a^2-b^2=(a-b)(a+b)} \\\\\\ x^2-y^2+z^2-2xz+2y-1= \\\\\underbrace{x^2-2xz+z^2}_{(x-z)^2} -\underbrace{(y^2-2y+1)}_{(y-1)^2}= \\\\\\ (x-z)^2-(y-1)^2 =(x-y-z+1)(x+y-z-1)[/tex]
Find the values of x and y.
Answers: x = 13 and y = 11
===========================================================
Let's focus on the angle expressions that have x in them.
They are adjacent angles and they form a straight line. So we consider them a linear pair. All linear pair angles always add to 180
(3x+89)+(7x-39) = 180
(3x+7x) + (89-39) = 180
10x+50 = 180
10x = 180-50
10x = 130
x = 130/10
x = 13
We'll use the same idea to find y
(3y+19)+(4y+84) = 180
(3y+4y) + (19+84) = 180
7y+103 = 180
7y = 180-103
7y = 77
y = 77/7
y = 11
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Extra info (optional section)
Let's find the measures of the four angles based on the x and y values we found.
3x+89 = 3*13+89 = 1287x-39 = 7*13-39 = 523y+19 = 3*11+19 = 524y+84 = 4*11+84 = 128It's not a coincidence that the 3x+89 and 4y+84 angles are equal (to 128). These are vertical angles which are always congruent. The other pair of congruent vertical angles are the 3y+19 and 7x-39 angles.
Note how 128+52 = 180 to help further confirm we have the correct values.
Another thing to notice is that all four angles add up to 360 degrees.
use the information in the diagram, set up a proportion to solve for the height of the tree
Answer:
Step-by-step explanation:
There are a couple of ways you could solve this problem. B is one of them.
The correct answer is going to be Small hypotenuse / Large hypotenuse = tree / building height
Let the tree equal x
100/220 = x / 176 Multiply both sides by 176
100 * 176 / 220 = x
x = 80
Notice that 80 is almost 1/2 of 176 so the answer should be right since 100 is nearly 1/2 of 220
Please i need the correct answer, no funny business.
Answer:
Age of the spear head = 6349 years.
Step-by-step explanation:
Expression to be used to calculate the age of the spear head,
[tex]N_t=N_0e^{-kt}[/tex]
Here, [tex]N_t[/tex] = Final amount of C-14
[tex]N_0[/tex] = Initial amount
[tex]k[/tex] = 0.0001
[tex]t[/tex] = Time in years
If [tex]N_t[/tex] = 53% of [tex]N_0[/tex] = [tex]N_0\times (0.53)[/tex]
[tex]0.53N_0=N_0e^{-0.0001\times t}[/tex]
[tex]0.53=e^{-0.0001t}[/tex]
[tex]\text{ln}(0.53)=\text{ln}(e^{-0.0001t})[/tex]
[tex]-0.634878=(-0.0001)t[/tex]
[tex]t=6348.78[/tex] years
[tex]t[/tex] ≈ [tex]6349[/tex] years
Therefore, age of the spear head = 6349 years.
PLEASE PLEASE PLEASE HELP. I WILL BE SO SO SO HAPPY!! WILL GOVE BRANLIEST! AND FOREVER BE SO HAPPY! POINTS!
Answer:
1) the second one
2) 11
Step-by-step explanation:
for the first one, the answer is the second one. because each term is being multiplied by -9 to get the next term.
the second problem is 11
I'm not sure how to do this.. Help a bro out..?
Answer:
= -21x + 1
Step-by-step explanation:
Answer:
Step-by-step explanation:
Okay bro who gave you this question. I attempted to do this and I assumed it was a right triangle. That means a^2 + b^2 = c^2:
(x-5)^2 + (2x+1)^2 = (4x+3)^2
I plugged this into symbolabs and got a positive value for x to be [tex]\frac{2\sqrt{103}-15}{11}[/tex] which is approx 0.482. It does work when you plug it back in but that means x-5 < 0 which isn't possible. So unless you wrote something down wrong, this question technically doesn't make any logical sense.
in 1990 sausage cost an average of $2.42 per pound. In 1994 it cost 51.35 per pound. What was the percent of depreciation (percent of decrease)?
*(show your work)*
Answer:
Cumulative price change 105.96%
Average inflation rate 2.36%
Converted amount ($100 base) $205.96
Price difference ($100 base) $105.96
CPI in 1990 130.700
Step-by-step explanation:
The table represents a linear function.
What is the slope of the function?
Answer: Y= MX + B
Y = 1/3x + 4
Step-by-step explanation:
if (a+10) and (a+20)are supplementary angles,find them
Given:
(a+10) and (a+20) are supplementary
To find:
Each angle
Steps:
if 2 angles are supplementary that means they add up to 180°
(a + 10) + (a + 20) = 180
a + 10 + a + 20 = 180
2a + 30 = 180
2a = 180 - 30
2a = 150
a = 150/2
a = 75°
Now let's find value of each angle,
a + 10 = 75 + 10
= 85°
a + 20 = 75 + 20
= 95°
Therefore, the value of each angle is 85° and 95° respectively
Happy to help :)
If you need any help feel free to ask
Justin is saving money to buy a stereo. He has $25 saved in the bank right now. He earns $40 each week delivering newspapers.
Let y = the total amount of money Justin has, and x is in weeks.
Write an equation for how much money Justin has (including the amount he has in the bank) in x weeks.:
I will give a brainliest plus an extra 20 points to who gets it right
Answer:
y = 25 + 40x
Step-by-step explanation:
Let
y = the total amount of money Justin has
x = number of weeks
Amount Justin has in the bank = $25
Amount Justin earns per week = $40
Equation for how much money Justin has (including the amount he has in the bank) in x weeks
the total amount of money Justin has = Amount Justin has in the bank + (Amount Justin earns per week * number of weeks)
y = 25 + (40 * x)
y = 25 + 40x
The equation is
y = 25 + 40x
In circle o, mZWBY = 72°.
What is the mZWXY?
A.18 degrees
B. 36 degrees
C. 72 degrees
D. 108 degrees
Answer:
Answer is B. 36 degrees
Step-by-step explanation:
From the diagram,
angle WBY = 2 × angle WXY
angle WBY = 72°
angle WXY =
[tex] \frac{angle \: WBY}{2} [/tex]
[tex] = \frac{72}{2} [/tex]
[tex] = 36 \: degrees[/tex]
factor x^2-3x-28 using the x method
Answer:
[tex] {x}^{2} - 7x + 4x - 28 \\ = x(x - 7) + 4(x - 7) \\ = (x - 7)(x + 4)[/tex]
HElp ME PLZ:[
Which statements are true about the polynomial 4x3 – 6x2 + 8x – 12? Check all that apply.
The terms 4x3 and 8x have a common factor.
The terms 4x3 and – 6x2 have a common factor.
The polynomial is prime.
The factored polynomial is (2x2 – 3)(2x + 4).
The polynomial can be grouped in different ways to factor by grouping.
Answer:
A, B, and E
Step-by-step explanation:
A. The terms 4x³ and 8x have a common factor (it is 4x)
B. The terms 4x3 and – 6x2 have a common factor (it is 2x²)
E. The polynomial can be grouped in different ways to factor by grouping.
( (4x³ - 6x²) + (8x - 12) ⇒ 2x²(2x-3) + 4(2x-3) ⇒ (2x²+4)(2x-3) )
Solve for x.
12 - 6x = 2(5x – 2)
x = [?]
Answer:
x=1
Step-by-step explanation:
12 - 6x = 2(5x – 2)
12-6x=10x-4
12+4=10x+6x
16=16x
1=x
Amanda asked each student in her class: How many pets do you have? The data collected is below.
Amanda's Class: 0, 0, 2, 1, 1, 0, 5, 0, 3, 2, 1, 1, 0, 2, 4, 0, 2, 1, 1, 1, 2, 3, 1, 0, 2
Charley asked the same question to each student in his class (which is no
class as Amanda's). The data he collected is below.
Charley's Class: 1, 2, 1, 3, 1, 1, 0, 0, 1, 0, 0, 2, 3, 1, 2, 5, 2, 0, 0, 4, 1, 1, 2, 0, 0, 1, 1
Whose class had a larger percentage of students with no pets?
Answer:
Charley's class.
Step-by-step explanation:
There are 25 students in Amanda class and 27 in Charley's.
Number of students with no pets in Amanda's = 7 which is 100 * 7/25 = 28%.
In Charley's class this is 8 which is 100 * 8/27 = 29.6%.
Answer:
Charley's class
Step-by-step explanation:
Amanda's class has 7 students with zero pets out of 25 total students. Charley's class has 8 students with zero pets out of 27 total students.
7/25 = 28% with zero pets
8/27 = around 30% with zero pets
Charley's class has a larger percentage of students with no pets
PLEASE HELP ASAP!!!!
Write the equation for a parabola with a focus at (1,4) and a directrix at x=2
Mary's Mum said she would pay 2/5 of the cost of
her new dress. If the dress cost £165, how much
money did Mary have to pay?
HELPPP
Answer:
66 dollars im pretty sure
Step-by-step explanation:
find the area of each triangle. Round intermediate values to the nearest tenth. use the rounded values to calculate the next value. Round your final answer to the nearest tenth, someone help me pelaseeeee!!!!
Answer:
54? or 5.4 I not really sure but I tried my best
Please help!!!!!!!!!!!!!!
Answer:
choice A is the answer
Step-by-step explanation:
[tex]5 + 2.75s \leqslant 21 \\ 2.75s \leqslant 21 - 5 \\ s \leqslant 16 \div 2.75 \\ s \leqslant 5.82[/tex]
but since we only can have a whole number in the number of stops, she can only travel 5 stops with the money she has.
Help on number 1 pls
Answer:
A
Step-by-step explanation:
5 is 50/1000, and 1/2% is equal to 5/1000
Answer:
A) 55/ 1,000
5 1/2% = 11 / 200 = 55/ 1,000
Raegan needs 2 boards to make a shelf one board is 1 1/2 m long and the other is 3 1/2 m long what is the total length of the shelf
Answer:
5 m
Step-by-step explanation:
Find the total length of the shelf by adding together the lengths of the two boards:
1 1/2 + 3 1/2
= 5
So, the total length of the shelf is 5 m
what are the solutions to x^2 + 4 = -6x?
Answer:
Step-by-step explanation:
x² + 4 = -6x
x² + 6x + 4 = 0
quadratic formula
x = [-6±√(6²-4·1·4)]/[2·1] = [-6±√20]/2 = [-6±2√5]/2 = -3±√5
hi I really need help with this please help!
f(x)=x³-9x
Answer:
-8 to 162
170/5 =34 is the average rate of change
factor ???
x(x^2 -9)=
x(x+3)(x-3)
Step-by-step explanation:
(PLEASE HELP) What is the distance from the origin point A graphed on the complex plane below?
Answer:
√13
Step-by-step explanation:
Here,
let the given coordinatesbe ,
A((-3,-2) = (x1,y1)
0 (0,0) = (x2,y2) [O: origin]
now,
using distance formula,
distance between A and 0;
= √(x2-x1)²+(y2-y1)²
= √(0-(-3))² + (0-(-2))²
=√ (3)²+(2)²
= √ 9+4
√13
mark me brainliest and follow me.. please
Can someone help me with this math homework please!
Answer:
Table 2.
Step-by-step explanation:
Recall that by definition, a linear function increases linearly. That is, the rate of change between any two points is constant.
We can go through each table and verify its rate of change.
Table 1)
For Table 1, note that y = -19 when x = 0.
When x = 1, y = -11. In other words, we added 8 for every increase of one for x.
When x = 2, y = -3. We still increased by 8 for every increase of one for x.
When x = 3, y = 5. Since -3 + 8 = 5, all points in Table 1 shows a constant rate of change.
In conclusion, Table 1 represents a linear function.
Table 2)
For Table 2, note that y = -1.5 when x = 0.
When x = 1, y = -1.5. In other words, we increased by 3 for every increase of one for x.
However, when x = 2, y = 3. This time, we only increased by 1.5 for every increase of one for x. Since the two rates are not equivalent, Table 2 is nonlinear.
Table 3)
Again, note that for Table 3, y = 15 when x = 0.
When x = 1, y = 12. So, we decreased by 3 for every increase of one for x.
When x = 2, y = 9. And when x = 3, y = 6. For both cases, we still decreased by 3 for every increase of one for x.
In conclusion, Table 3 represents a linear function.
Therefore, the table that represents a nonlinear function is Table 2.
I need to know the transformation of the shape
Answer:
is there anything underneath it? it says which of the following
Step-by-step explanation:
stuck on a maths question please help with an explanation thank you stay safe :)
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Explanation:
He answered 5/7 of the 35 short-answer questions correctly. So he got (5/7)*35 = 25 of those questions correct. At 2 marks each for these questions, he earned 25*2 = 50 points from this group alone.
There are 35 short-answer questions and 15 long-answer questions. That's 35+15 = 50 questions total.
We're told that he answered 60% of all the questions correctly. So he answered 0.60*50 = 30 questions correctly.
Earlier we found that he answered 25 short-answer questions, which must mean he got 30-25 = 5 long-answer questions done correctly. At 4 marks a piece, Keith earns 5*4 = 20 points in this group.
So overall, he earned 50+20 = 70 points from both types of questions.
---------------------
If he got all answers correct, then he would earn 35*2 = 70 points from the short-answer questions and 15*4 = 60 points from the long-answer questions. That's a total of 70+60 = 130 points to get a perfect score.
The ratio of his score to the perfect score is 70:130 which reduces to 7:13 when dividing both parts by the GCF 10.
9514 1404 393
Answer:
70/130 . . . . reduces to 7/13
Step-by-step explanation:
StrategyThe problem statement describes 2 kinds of quiz questions, and different relations regarding the numbers of questions answered correctly. The problem asks for the number of marks Keith had relative to the total number of marks.
This means you need to find Keith's marks and the available marks for each question type (4 numbers).
Because of the way the problem tells you the number of long-answer questions answered, additional computations are required to find the total number of questions Keith answered and the number of short-answer questions Keith answered. (The difference of these is the number of long-answer questions answered.) That's 3 more computations.
You have to keep in mind the purpose of each computation and how it fits in to the final result. This is why we label the intermediate results.
SolutionShort Answer Marks
There were 35 short-answer questions for 2 marks each. That's a total of ...
(35)(2) = 70 . . . . marks for all short-answer questions
Keith got 5/7 of those, so got ...
(5/7)×70 = 50 . . . . Keith's marks for short-answer questions.
__
Long Answer Marks
There were 15 long-answer questions for 4 marks each. That's a total of ...
(15)(4) = 60 . . . . marks for all long-answer questions
The total number of questions on the quiz was 35 +15 = 50. Keith answered 60% of them, so answered ...
0.60×50 = 30 . . . . total number of questions Keith answered
We know Keith answered (5/7)(35) = 25 short-answer questions, so must have answered 30-25 = 5 long-answer questions. His marks for those were ...
(5)(4) = 20 . . . . Keith's marks for long-answer questions
__
Total Marks
Then the total number of marks for all answers on the quiz is ...
short marks + long marks = 70 +60 = 130 . . . available marks
And Keith's overall score was ...
(Keith's short marks + Keith's long marks)/(available marks)
= (50 +20)/130 = 70/130 . . . . Keith's score ratio for the quiz
Name the quadrant or axis where the point (-3,-9) is located.
Answer:
Quadrant III or 3rd quadrant
Step-by-step explanation:
( - 3, - 9 ) is located in 3rd quadrant.
Determine whether the mapping is a relation or a function or neither.
the 4th awnser was cannot be determined
Answer:
The answer is not a function
Step-by-step explanation:
I think at least
I NEED HELP Please HELP ME OUT
Answer:
2x + 7
Step-by-step explanation:
how to do?? helppppp
Answer:
x = - 3, x = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Given
(2x - 1)(x + 3) = 0
Equate each factor to zero and solve for x
x + 3 = 0 → x = - 3
2x - 1 = 0 ⇒ 2x = 1 ⇒ x = [tex]\frac{1}{2}[/tex]
Answer:
x = 0.5 and -3
Step-by-step explanation:
(2x - 1)(x + 3) = 0
We are solving for the two x values (since this is a polynomial)
(2x-1) = 0/(x + 3)
2x - 1 = 0
2x = 1
x = 1/2 = 0.5
And the second x value
(x + 3) = 0 / (2x - 1)
x + 3 = 0
x = -3
