Step-by-step explanation:
(x² - 2x + 1)(x- 1)=
(x+1)^2(x-1)
Step-by-step explanation:
(x² - 2x + 1)(x- 1) = x³ - 2x² + x - x² + 2x - 1
= x³ - 3² + 3x - 1
20 is 4/7 of what number?
Answer:
35
Step-by-step explanation:
PPPPPPPPPPPPPPLLLLLLLLLLLLEAAAAAAAAAAAASSSSSSSSSSSSSSSEEEEEEEE
help me!
Answer:
(4,0)
Step-by-step explanation:
Both lines intersect, or cross, at one point on the graph, which is (4,0). Therefore, that point is a solution to the system of equations.
Hope this helps!
what is 34/9 in simplest form?
3 7/9
Step-by-step explanation:
34/9
= 34 ÷ 9 = 3 remain 7
= 34 = 9 × 3 + 7
so
34/9
= 3 7/9
Answer:
34/9 is already in it's simplest form but can be written as a decimal: 3.777778
Step-by-step explanation:
1. Find the HCF of both numbers which is 1
2. Divide them both by the HCF
3. 34/1 = 34
4. 9/1 = 9
5. Therefore there is no simpler fraction but you can write it as a decimal.
Please help me solve this problem
hi, please what's 4/5 - (-1/3) quick! I dont have that much time PLEASE
Answer:
17/15
Step-by-step explanation:
[tex] \frac{4}{5} - ( - \frac{1}{3}) \\ = \frac{4}{5} + \frac{1}{3} \\ = \frac{12 + 5}{15} \\ = \frac{17}{15} \\ = 1 \frac{2}{15} [/tex]
Determine the measure of the indicated
exterior angle in the diagram.
Answer: 110 degrees
Triangle sum theory tells us that all the internal angles are equal to 180.
Meaning, we can solve 2x+3x+3x+4=180 for x
x=22
Then solve for 3x+4, which equals 70.
Last step, take 70 from 180 to find the external angle!
110 :)
Answer:
Exterior angle is equal to 110
Step-by-step explanation:
So to find the exterior angle, you must find the interior angle first.
You know that all 3 angles within the triangle must equal to 180 degrees, so what we can do is set up this equation to reflect that statement:
2x+3x+(3x+4) = 180
Group like terms:
8x+4=180
Solve for x:
8x = 176
x = 22
We can double check to see this matches up with all of the other angles inside:
2x = 44
3x = 66
3x+4 = 70
44 + 66 + 70 = 180
We also know that a straight line is 180 degrees
So, ? = 180 - 70
? = 110 degrees
Lines k and n intersect on the y-axis
a. What is the equation of line k?
(-2,6) 6-
(4,5)
b. What is the equation of line j?
710
m
(5.2)
2-
109
(-3,-1)
a. The equation of line k in slope-intercept form is
(Use integers or fractions for any numbers in the equation. Simplify your answer.)
a) The equation of line k is:
[tex]y = -\frac{202}{167}x + \frac{598}{167}[/tex]
b) The equation of line j is:
[tex]y = \frac{167}{202}x + \frac{1546}{202}[/tex]
The equation of a line, in slope-intercept formula, is given by:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is the rate of change.b is the y-intercept, which is the value of y when x = 0.Item a:
Line k intersects line m with an angle of 109º, thus:[tex]\tan{109^{\circ}} = \frac{m_2 - m_1}{1 + m_1m_2}[/tex]
In which [tex]m_1[/tex] and [tex]m_2[/tex] are the slopes of k and m.
Line k goes through points (-3,-1) and (5,2), thus, it's slope is:[tex]m_1 = \frac{2 - (-1)}{5 - (-3)} = \frac{3}{8}[/tex]
The tangent of 109 degrees is [tex]\tan{109^{\circ}} = -\frac{29}{10}[/tex]Thus, the slope of line m is found solving the following equation:[tex]\tan{109^{\circ}} = \frac{m_2 - m_1}{1 + m_1m_2}[/tex]
[tex]-\frac{29}{10} = \frac{m_2 - \frac{3}{8}}{1 + \frac{3}{8}m_2}[/tex]
[tex]m_2 - \frac{3}{8} = -\frac{29}{10} - \frac{87}{80}m_2[/tex]
[tex]m_2 + \frac{87}{80}m_2 = -\frac{29}{10} + \frac{3}{8}[/tex]
[tex]\frac{167m_2}{80} = \frac{-202}{80}[/tex]
[tex]m_2 = -\frac{202}{167}[/tex]
Thus:
[tex]y = -\frac{202}{167}x + b[/tex]
It goes through point (-2,6), that is, when [tex]x = -2, y = 6[/tex], and this is used to find b.
[tex]y = -\frac{202}{167}x + b[/tex]
[tex]6 = -\frac{202}{167}(-2) + b[/tex]
[tex]b = 6 - \frac{404}{167}[/tex]
[tex]b = \frac{6(167)-404}{167}[/tex]
[tex]b = \frac{598}{167}[/tex]
Thus. the equation of line k, in slope-intercept formula, is:
[tex]y = -\frac{202}{167}x + \frac{598}{167}[/tex]
Item b:
Lines j and k intersect at an angle of 90º, thus they are perpendicular, which means that the multiplication of their slopes is -1.Thus, the slope of line j is:
[tex]-\frac{202}{167}m = -1[/tex]
[tex]m = \frac{167}{202}[/tex]
Then
[tex]y = \frac{167}{202}x + b[/tex]
Also goes through point (-2,6), thus:
[tex]6 = \frac{167}{202}(-2) + b[/tex]
[tex]b = \frac{(2)167 + 202(6)}{202}[/tex]
[tex]b = \frac{1546}{202}[/tex]
The equation of line j is:
[tex]y = \frac{167}{202}x + \frac{1546}{202}[/tex]
A similar problem is given at https://brainly.com/question/16302622
In ΔQRS, q = 9.4 cm, r = 8 cm and ∠S=151°. Find ∠Q, to the nearest 10th of a degree.
9514 1404 393
Answer:
15.7°
Step-by-step explanation:
The law of cosines can be used to find side s:
s² = r² +q² -2rq·cos(S)
s² = 8² +9.4² -2(8)(9.4)·cos(151°) ≈ 283.903
s ≈ 16.849
Then the law of sines can be used to find angle Q.
sin(Q)/q = sin(S)/s
sin(Q) = (q/s)sin(S)
Q = arcsin(q/s·sin(S)) = arcsin(9.4/16.849·sin(151°)) ≈ 15.692°
Angle Q is about 15.7°.
please help me
no random links pls
Which of these is a line segment? PLS HELP
Please help I really need it!
The rate of change is 2/3
rise = 2
run = 3
rise/over = 2/3
Answer: 2/3 is gonna be your answer. Trust me I have done this exact
g o o g l e form before!
Step-by-step explanation:
AHH HELPPPP !!!!
-In the following diagram, two parallel lines are cut by a transversal. The measure of which angle is equal to the measure of angle 1 ?
a - angle 2
b - angle 3
c - angle 4
d - angle 6
Answer:
angle 4
Step-by-step explanation:
1 and 4 are vertical angles
∠1 = ∠4
This according to the vertical angle theorem
Hope this helps!!
Put y - 1 = 4(x - 5) in standard form.
What is the GCF of 10890 and 15400?
Answer:
The Greates Common Factor (GCF) is: 2 x 5 x 11 = 110
10890: 2 335 111115400: 222 55711 GCF: 2 5 11
110 is the GCF of 10890 and 15400.
What are Factors?A number or algebraic expression that divides another number or expression evenly i.e., with no remainder.
GCF or Greatest Common factors is the set of numbers is the largest factor that all the numbers share.
Factors of 10890 = 1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,121,165....
Factors of 15400 = 1,2,4,5,7,8,10,11,14,20,22,25,28,35,40,44,50,55,56,70,77,88,100,110,140,154,175....
By observing the factors of both numbers 10890 and 15400.
110 is the greatest common factor of 10890 and 15400.
Therefore 110 is the GCF of 10890 and 15400.
To learn more on Factors click:
https://brainly.com/question/11444998
#SPJ2
Kamrynn is looking at her five quiz scores of 96 90 94 93 and 90. Determine the mean rounded to the nearest tenth median mode and range of the results
Answer:
Mean = 90, Median = 93, Mode = 90, Range = 6
Step-by-step explanation:
Mean:
96 + 90 + 94 + 93 + 90 = 463
463 ÷ 5 = 92.5
92.5 to nearest tenth = 90
Mean = 90
Median:
90, 90, 93, 94 ,96
Median = 93
Mode
96, 90, 94, 93, 90
Mode = 90
Range:
96 - 90 = 6
Range = 6
What is the equation of this line?
A.y=-2x
B.y=1/2x
C.y=1/2x
D.y=2x
Answer:
D. y = 2x
Step-by-step explanation:
The slope of the line is 2, so you get 2x. Therefore, the equation is y = 2x.
Answer:
the equation is answer D
Step-by-step explanation:
the slope is 2 and the y-intercept (b) is zero so it isn't written.
*IS MY ANSWER CORRECT?!? IF NOT PLEASE TELL ME THE CORRECT ONE.*
[[ READ ATTACHMENTS ]]
Answer:
As I analysed it for me yes it is
20/48=40/48 which proportions is true?
Answer:
is it multiple choice what are the options??
There are many possible answers to this question, there is not enough information.
But I can figure this much.
20/48 = 40/48
[FALSE]
Kristie needs 2.5 yards of fabric for bridesmaid dresses.
If she purchased 28.5 yards of fabric, how many complete
dresses would she make?
I'll give you BRAINEST please help please plz
what is 1.5 as a ratio
Answer: 3/2
Step-by-step explanation:
Mr. Wolfe wants to divide a 6th grade class of 40 students into equal groups. He wants the number of students in each group to be a prime number.
a. In how many different ways can Mr. Tindell divide the class?
b. How many students will be in each group?
Explain and Show your Work
Answer:
B
Step-by-step explanation:
there will be 10 students in 4 groups
The population of Miami-Dade County in Florida in 2010 was 2, 496, 435 and the land area was 1, 898 square miles. The population increased by 7.9% in 2015. Part 1: To the nearest whole number, find the population density, in people per square mile, for Miami- Dade County in 2015
The population density of the city which is the ratio of population size and the land area is 1419 people per square mile.
The initial population = 2496435The percentage increase in population = 7.9%Land Area = 1898 mi²The population of the city on 2015 can be calculated thus :
(1 + percent increase) × initial population (1 + 0.079) × 2496435 = 2693653.365 peopleThe population of a city is calculated using the relation :
Population density = Population / Land Area Population density = 2693653.365/1898 Population density = 1419.21Therefore, the population density is 1419 people per square mile.
Learn more: https://brainly.com/question/18796573
does anyone know the answer to the question??? 5x+2=7x-4
I need help with this one please
Answer:
84 degrees
Step-by-step explanation:
i think so because if thats 48 then lki would also be 48 so subtract both 48s from 180 and u get 84 if im wrong im srry :)
you have 120 cows and 90% of them are female how many female cows do you have
Answer: 108
Step-by-step explanation:
If 90% are female, that means that female = 90% of 120, or 90/100 x 120
90/100 x 120 = 108, meaning that there are 108 female cows.
Cho tam giác ABC vuông tại A , đường cao AH . Gọi D và E lần lượt đối
xứng với H qua các cạnh AB và AC
a) C/m D, A , E thẳng hàng
b) C/m BCED là hình thang
c) C/m 0 90 DHE
Answer:
Sorry i don't speak Vietnam so i can't help you if you write it in English i will have a chance to help you
Can someone please solve this
Answer:
20
Step-by-step explanation:
- Combine multiplied terms into a single fraction
- Eliminate redundant parentheses
- Multiply all terms by the same value to eliminate fraction denominators
Please help me because I tried to solve it but it wasn’t correct
Answer:
irdk
Step-by-step explanation:
Help pls
Only number one
UWU
