We look for constants a and b such that
[tex]\displaystyle \frac{7x-8}{(2x-1)(x-2)} = \frac a{2x-1} + \frac b{x-2}[/tex]
Rewrite all terms with a common denominator and set the numerators equal:
[tex]\displaystyle \frac{7x-8}{(2x-1)(x-2)} = \frac{a(x-2)}{(2x-1)(x-2)} + \frac{b(2x-1)}{(x-2)(2x-1)} \\\\ \frac{7x-8}{(2x-1)(x-2)} = \frac{a(x-2)+b(2x-1)}{(2x-1)(x-2)} \\\\ \implies 7x-8 = a(x-2) + b(2x-1) = (a+2b)x - 2a - b[/tex]
Then
a + 2b = 7
-2a - b = -8
Solve for a and b. Using elimination: multiply the first equation by 2 and add it to the second equation:
2 (a + 2b) + (-2a - b) = 2(7) + (-8)
2a + 4b - 2a - b = 14 - 8
3b = 6
b = 2
Then
a + 2(2) = 7 ==> a = 3
and so
[tex]\displaystyle \frac{7x-8}{(2x-1)(x-2)} = \frac 3{2x-1} + \frac 2{x-2}[/tex]
Answer:
a=3
b=2
Do whatever you want with that information^^
When solving secθ=−4.2 for 180°≤θ≤360°, how many possible answers are there?
0
1
2
unable to determine
Miguel reads that the average low temperature today is −4.2°F and that the average high temperature is 9.1º F.
Miguel plots the points on the number line to determine the temperature change between these two readings.
What is the temperature change?
° F
Answer: 13.3
Step-by-step explanation:
took on k12 :]
The change in today's temperature between the two readings as measured by Miguel is 13.3°F
Miguel's temperature readings :
Average low temperature = -4.2°F
Avetage high temperature = 9.1°F
The change in temperature is the difference between the two temperature readings :
Average high temperature - Average low temperature
(9.1 - (-4.2))°F
(9.1 + 4.2)°F = 13.3°F
Hence, the change in temperature reading = 13.3°F
Learn more : https://brainly.com/question/2610134
A man drove 13 miles directly east from his home, made a left turn at an intersection, and then traveled 9 miles due north to his place of work. If the road was made as described above, how much shorter would the man’s one-way trip be every day?
Answer:
ANSWER 5.3 miles
See IMAGE FOR SOLUTION
The vertical side of a right triangle measures 6 inches, and the horizontal side measures 8 inches
1.Write the ratio of the distance of the vertical side to the distance of the horizontal side as a reduced fraction
2.If the original triangle were enlarged by 3 times, what would the new dimensions be?
3.Does the ratio of vertical side to horizontal side change when scaling up? Explain.
9514 1404 393
Answer:
3/4vertical: 18 in; horizontal: 24 inno changeStep-by-step explanation:
1. The ratio is ...
(6 in)/(8 in) = 6/8 = 3/4
__
2. The scaled dimensions are ...
6 in × 3 = 18 in (vertical side)
8 in × 3 = 24 in (horizontal side)
__
3. You know from your process of reducing the fraction in part 1 that multiplying numerator and denominator by the same value does not change the reduced ratio.
HELPPPPPP!!!!!!!!!!!!!!
Answer:
7
Step-by-step explanation:
no need to panic !
it is actually totally easy.
we have the complete, big angle at U (imagine you turn VU around U into UT) = 178 degrees.
VT is almost a straight line (then that angle would be 180 degrees). but only almost ...
anyway, the other 2 angles are just parts of the big angle, and we see that together they sum up to the big angle, as there is no other space for a part of the big angle left.
so
(14x - 11) + (12x + 7) = 178
14x - 11 + 12x + 7 = 178
26x - 4 = 178
26x = 182
x = 7
Help please hurry I don’t have much time!!!
Answer:
The correct answer is D
Take D
I need help with this homework
2x^2+ 7x+ 5= 0
Answer:
x = -1 or/and -5/2
Step-by-step explanation:
:)
Y varies directly with x and y=8 when x=-5
Answer:
Y=K×X...... equation
When,Y=8 and X=-5
To find the constant (K)
we substitute for K in the equation
8=K×-5
8=-5K divide both sides by -5
8÷-5=-5K÷-5
K=-1.6
Math is?
At least 5 sentences
Answer:
1.The subject which we learn calculation multiplies devide substation etc.
2.Math is a kind of subject which we can practice more from this subject.
3.Math is an example of life process because if we are talent in math then we can solve the many kaild of problem related in our life..
4.Math also help as to increase our bran pour of we try to solve hard to hard problem..
Think you at last math is importent to as
(2x + 5) + (x + 4) =
Answer:
3x + 9
Step-by-step explanation:
(2x + 5) + (x + 4)
Distribute the + to all numbers/variables
2x + 5 + x + 4
Combine like terms:
2x + 5 + x + 4
3x + 5 + 4
3x + 9
Hope this helped.
Find the surface area of a cylinder with a base radius of 2 in and a height of 5 in
Answer:
[tex]r = 2 \\ h = 5 \\ a = 2\pi \: rh + 2\pi {r}^{2} \\ = 2\pi \times 2 \times 5 + 2\pi {2}^{2} \\ = 20\pi + 8\pi \\ = 28\pi \\ = 28 \times 3.14 \\ = 87.92 {unit}^{2} \\ thank \: you[/tex]
Someone please help me on this!
Which statements are true about the
transformation (x,y) → (x - 1 y +4)?
A The transformation is a non-rigid
motion.
B The transformation slides the figure
to the left 1 unit and up 4 units.
C The transformation is a rigid motion.
D The transformation slides the figure to
the right 1 unit and down 4 units.
Answer:
b and c
Step-by-step explanation:
b is obvious since you can just plug In a point to solve
but c is a bit trickier a rigid motion is a transformation that doesn't change size or shape and we are just moving points which have same size so c is true.
Halo
please help me
Answers with Solution, ok?
The correct answer is letter C. 75. 36m³ :)
Here's the Solution:
V = π r²hV = (3.14) (2m)² (6m)V = (3.14) (4m²) (6m)V = (3.14) (24m³)V = 75.36m³HOPE THIS HELPS. GOODLUCK:)
Which compound inequality could this graph be the solution
Answer:
A. 3x+14≥ 2 or 1-x ≥-5
Step-by-step explanation:
the solutions should be x≥ -4 or x ≤6
and the right answer is :
3x + 14≥ 2
3x ≥ -12
x≥ -4
1-x ≥ -5
-x ≥ -6
x ≤ 6
A. 3x+14≥ 2 or 1-x ≥-5
union and intersection of sets
Answer:
The union of two sets contains all the elements contained in either set (or both sets). The union is notated A ⋃ B. The intersection of two sets contains only the elements that are in both sets. The intersection is notated A ⋂ B.
Answer:
UnionThe union of a set A with a B is the set of elements that are in either set A or B. The union is denoted as A∪B. For example, if A is the set {♢,♡,♣,♠} and B is the set {△,♡,♠}, then A∪B={♢,♡,♣,♠,△}.
IntersectionIntersection of two given sets is the largest set which contains all the elements that are common to both the sets. To find the intersection of two given sets A and B is a set which consists of all the elements which are common to both A and B. The symbol for denoting intersection of sets is '∩'.
Help please asap first answer get brainliest
Beging you please
Answers:
12. 2 3/5+1 4/6 = (2+1)+(3/5+4/6) = 3+19/15 = 64/15
13. 2/4*4/6 = 8/24 = 1/3
14. 3/4*3/6 = 9/24 = 3/8
15. 2/6*4/6 = 8/36 = 2/9
16. 2/4*1/6 = 2/24 = 1/12
17. 3/4/1/6 = 18/4 = 9/2
18. 3/4/2/4 = 12/8 = 3/2
19. 3/6/4/6 = 18/24 = 3/4
20. 5/7+2/7 = 7/7 = 1
21. 4/5+5/7 = 53/35
22. 3/5+5/5 = 8/5
23. 1/6-1/6 = 0
24. 3/7-2/3 = -5/21
25. 3/5-2/7 = 11/35
can anyone help me out with this one?
How to make 10000 by only using number 8, No matter what the operation is
BRAINLIEST will be marked
Here is the answer
[tex]\\ \sf\longmapsto 8888+888+88+88+8+8+8+8+8+8[/tex]
Similar Question .
Write 1000 using 8
Answer:-
888+88+8+8+8
Answer:
One of the options comes from this:
10000/8 = 1250It means 10000 contains 1250 of 8's:
1250 = 1111 + 139 = 1111 + 111 + 28 = 1111 + 111 + 11 + 11 + 6The 8's to make 10000 are:
10000 = 8888 + 888 + 88 + 88 + 8 + 8 + 8 + 8 + 8 + 819. The product of two numbers is 120 and the sum of their squares is 289. The sum of the number is (a) 20 (b) 23 (c) 169 (d) None of these
Answer:
B
Step-by-step explanation:
Let the two numbers be a and b.
The product of the two is 120 and their sum of their squares is 289. In other words:
[tex]\displaystyle ab = 120 \text{ and } a^2 + b^2 = 289[/tex]
And we want to find the sum of the two numbers.
We can use the perfect square trinomial. Recall that:
[tex]a^2 + 2ab + b^2 = (a+b)^2[/tex]
From the first equation, multiply by two:
[tex]2ab = 240[/tex]
Add the two equations together:
[tex](a^2+b^2)+(2ab) = (289)+(240)[/tex]
Simplify and rewrite:
[tex]a^2+2ab+b^2 = 529[/tex]
Factor using the perfect square trinomial pattern:
[tex](a+b)^2 = 529[/tex]
And take the square root of both sides:
[tex]\displaystyle a + b = \pm\sqrt{529} = \pm23[/tex]
Hence, the sum of the two numbers is 23 or -23.
In conclusion, our answer is B.
(X + ____ ) ^2 = _____
Answer: 1/4 first box 33/16 second box
Step-by-step explanation:
look at pictures for AnSwEr
FIRST -CORRECT- ANSWER WILL GET BRAINLIEST!!
Find u.
A. 2√2
B. 2
C. 4
D. √2
Answer:
u=2 root 2
Step-by-step explanation:
All 45 45 90 degree triangles follow the same pattern
Hi, can you help me with these?
It's really hard :(
Here's the Solution:
Direct Variation
Y = kx
Given:
$34=k(4)
k = 34/4
k = 17/2
Y = kx
Y = (17/2) (10)
Y = 85Hope this helps :)
help me do this please!
Answer:
m<ABD = 37°
m<DBC = 58°
Step-by-step explanation:
m<ABD + m<DBC = m<ABC
2x + 23 + 9x — 5 = 95
11x + 18 = 95
-18 -18
--------------------
11x = 77
/11 /11
---------------------
x = 7
Now, plug this into the equation for m<ABD and m<DBC to find their values.
m<ABD = 2x + 23
= 2(7) + 23
= 14 + 23
= 37
m<DBC = 9x — 5
= 9(7) — 5
= 63 – 5
= 58
Now, check to see if our values are right or not.
2x + 23 + 9x — 5 = 95
2(7) + 23 + 9(7) — 5 = 95
14 + 23 + 63 – 5 = 95
100 – 5 = 95
95 = 95 CORRECT
A lawn in the shape of a trapezoid has an area of 1,800 square meters. The length of one base is 50 meters, and the length of the other base is 40 meters. What is the width of the lawn?
find the area of point b??
Answer:
78.5 in^2
or
506.7 cm^2
Step-by-step explanation:
r = 5 in = 12.7 cm
Area of circle
[tex] = \pi \times {r}^{2} [/tex]
I am a prime number. I am two digits.
The sum of my digits is 8.
My tens digit is 6 less than my ones digit.
Answer:
17
Step-by-step explanation:
17 is a prime number17 has two digitsThe digits in 17, 1 and 7, add up to 8The tens digit is 6 less than the ones digit place.Answer: 17
Step-by-step explanation:
1+7=8
The ten digit is (1) 6 less than the one digit (7)
I will mark as brainliest if you can answer. :)
not enough information
9 * (-3/5) ^5
evaluate
pls help :)
Answer:
[tex] - \frac{2187}{3125} [/tex]
Step-by-step explanation:
[tex]9 \times ( \frac{ - 3}{5} )^{5} [/tex]
[tex]( \frac{ - 3}{5} {)}^{5} = \frac{( - 3 {)}^{5} }{ {5}^{5} } [/tex]
[tex] \frac{ - 243}{ {5}^{5} } = - \frac{ 243}{3125} [/tex]
[tex] - 9 \times ( - \frac{243}{3125} )[/tex]
[tex] = - \frac{2187}{3125} [/tex]
if x = 5, y = 6, and z= 2, is V x2 + y2 + z2 + 50
rational or irrational? Explain.
Answer:
irrational
Step-by-step explanation:
because
5² + 6² + 2² + 50 = 25+36+4+50 = 115
and 115 is not a squared integer or rational number, so that sqrt(115) is one of these numbers with infinite digits after the decimal point but without any repeating pattern.
and that is per definition irrational.
Help please! Find the converse
Answer:
Step-by-step explanation:
The converse of ~q => ~p is ~p => ~q.