Answer:
a=35
b=55
c=110
Step-by-step explanation:
a=35
Opposite angles which are non-adjacent angles formed by two intersecting lines are equal
b+35+90=180 sum of interior angle of a triangle equal to 180
b=180-125
=55
c+70=180 Angles on a straight line add up to 180°
c=180-70
=110
Decompose -6x/(x+2)(x+8) into partial fractions.
The partial fraction expansion takes the form
-6x/((x + 2) (x + 8)) = a/(x + 2) + b/(x + 8)
Both factors in the denominator are linear, so the numerators in the corresponding partial fractions have degree 1 - 1 = 0 and are thus constants.
Combine the fractions on the right side into one with a common denominator, then set the numerators on both sides of the equation equal to each other:
-6x = a (x + 8) + b (x + 2)
Expand the right side and collect terms by powers of x :
-6x = (a + b) x + (8a + 2b)
It follows that
a + b = -6 and 8a + 2b = 0
==> a = -2 and b = 8
So we end up with
-6x/((x + 2) (x + 8)) = -2/(x + 2) + 8/(x + 8)
What is the output of the function: f(x)=2x+5, if the input is 3?
Answer:
2*3+5=11
Step-by-step explanation:
Answer:
[tex]\boxed {\boxed {\sf 11}}[/tex]
Step-by-step explanation:
We are given the following function and asked to find the output if the input is 3.
[tex]f(x)= 2x+5[/tex]
The input is what is plugged into the function and its variable is x. The output is the result of plugging in the input and its variable is y.
Substitute 3 in for x,
[tex]f(3)= 2(3)+5[/tex]
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction. Multiply 2 and 3.
[tex]f(3)= 6+5[/tex]
Add.
[tex]f(3)= 11[/tex]
If the input is 3, then the output is 11.
Help please and thank you!!!!!
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Answer:
a) 2 and 4; b) 1&2, 2&3, 3&4x = 16Step-by-step explanation:
1a. Vertical angles share a vertex and are composed of opposite rays. Here, angles 2 and 4 are vertical angles.
1b. Consecutively numbered angles are adjacent, as are angles 1 and 5. The pairs of interest can be chosen from ...
1&2, 2&3, 3&4, 4&5, 5&1
__
2. Angles 1 and 3 have the same measure, because they are vertical angles. Then we have ...
78° = (5x -2)°
80 = 5x . . . . . . . divide by °, add 2
16 = x . . . . . . . divide by 5
Which of the following choices is equivalent to -6x > -42?
Answer:
Where is the rest?
Step-by-step explanation:
%7"7:7;9
find the surface area of the prism
Answer:
114 cm²
Step-by-step explanation:
Surface area of the rectangular prism,
2×(wl+hl+hw)
=2×(3×8+3×8+3×3)
= 2×(24+24+9)
= 2×(57)
=114 cm²
Translate the sentence into an equation.
Four times the sum of a number and 7 equals 3
Answer:
[tex]4(x+7)=3[/tex]
Step-by-step explanation:
Since the sum is being multiplied 4 different times, it's best to write the equation of the sum and the number 4 being in the outside. and since it's saying it equals 3, just add the equal sign
Hope this helps!
- doomdabomb
25(0.3x-4)-5(1.5x-6)+100(13/4) simplify the following expression and evaluate for x=0.345
Answer:
255
Step-by-step explanation:
Given :
Simplify the expression :
25(0.3x-4)-5(1.5x-6)+100(13/4)
Open each Bracket:
7.5x - 100 - 7.5x + 30 + 325
7.5x - 7.5x - 100 + 30 + 325
= 255
The simplified equation = 255
X/6 - y/3 = 1
please explain in detail!
Answer:
x=12,y=3
Step-by-step explanation:
x/6-y/3=1
x can equal 12 because 12/6 is equal to 2.
y can equal 3 because 3/3 equals 1
2-1=1
sold 72 books, if ratio of books to bookmarks sols was 9:2, how many bookmarks sold?
16 book marks has been sold
Answer:
16 bookmarks
Step-by-step explanation:
9/72 = 2/x
72/9 = 8
2 x 8 = 16
hope this helps
√10 Multiple √15 is equal to
(a) 5√6
(b) 6√5
(c) √30
(d) √25
step by step for BRAINLIST
Solve :-
Answer:
a). 5√6
[tex] \sqrt{10} \times \sqrt{15} \\ = ( \sqrt{5} \times \sqrt{2} ) \times ( \sqrt{5} \times \sqrt{3} ) \\ = {( \sqrt{5}) }^{2} \times ( \sqrt{2} \times \sqrt{3} ) \\ = 5 \times ( \sqrt{6} ) \\ = 5 \sqrt{6} [/tex]
I need help
With these
Answer:
"A"
Step-by-step explanation:
a+b >c
a+c>b
b+c>a
~~~~~~~~~~~~
A. T,T,T
B. T,T,F
C. T,F,T
Find the measure of the missing angles.
Answer:
Step-by-step explanation:
e = 61°, f = 119°, and d = 90°
We know that vertically opposite angles are equal.
So, e = 61° [Vertically opposite angles]
We know that linear pair of angles are supplementary (180°).
So, f + 61° = 180° [Linear pair of angles]
=> f = 180° - 61°
=> f = 119°
and d + 90° = 180° [Linear pair of angles]
=> d = 180° - 90°
=> d = 90°
A woman bought some large frames for $17 each and some small frames for $6 each at a closeout sale. If she bought 18 frames for $141, find how many of each type she bought. She bought ____ large frames.
Answer:
3 large frames
Step-by-step explanation:
Let the large frames she bought be x in number and small frames be y in number.
ATQ, 17x+6y=141 and x+y=18. Solving it, we will get x=3 and y=15. So she bought 3 large frames
a shopkeeper marked price a article a certain price above the cost price and he allowed 16% discount to make 5% profit if a customer paid 9492 with 13% vat to buy it by what percent is the mp above cp
Answer:
if I had known this
Step-by-step explanation:
then I won't be using this app right now..
The ratio of the volumes of two similar solid polyhedra is equal to the square root of the ratio between their edges. True or False? HELP QUICK PLSSSSS
Answer:
FALSE.The ratio of the volumes of two similar solid polyhedra is equal to the square of the ratio between their edges. This statement is false. A polyhedron is a shape that has no gaps between their edges or vertices.
Answer:
it's false
~~~~~~~~~~~
Find the missing side length. Leave your answers radical in simplest form. PLEASE HURRY
Answer:
the answer for y=4 and x=4✔3
A bag contains 3 red, 5 blue, and 4 white marbles. If a marble is drawn from the bag, not replaced, and another is drawn, what is the probability of selecting a white and then blue marble?
Answer:
5/33
Step-by-step explanation:
The probability of selecting a white marble is 4/12 = 1/3(because we have 4 white marbles and 12 marbles in total )
The probability of selecting a blue marble is 5/11 (because we have 5 blue marbles and 11 marbles left(1 has been drawn already) )
Probability of selecting a white and then blue marble equals 1/3*5/11 = 5/33
correct gets brainliest!
find an expression that can be added to the expression 3x + 2 to give 5x + 3.
Answer:
2x+1
Step-by-step explanation:
The expression = (5x+3)-(3x+2) = 2x+1
Determine whether the integral from -3 to infinity 1/sqrt (5 - x) is divergent or convergent. If it is convergent, evaluate it. If not, state your answer as divergent .
It's divergent because 1/√(5 - x) is defined only for x < 5, which means the integral from 5 to infinity doesn't exist.
Is the relationship shown by the data linear? If so, model the data with an equation.
Answer:
The relation is linear
Step-by-step explanation:
Answer:
Yes, the relationship shown is linear. The equation of the line is y=-1.25x-13.25.
Step-by-step explanation:
This data is linear as y decreases at a constant rate. The equation of a line is y=mx+b, where m=slope and b=y intercept
To find m:
m=[tex]\frac{y2-y1}{x2-x1}[/tex]
m=[tex]\frac{(-2)-(-7)}{(-9)-(-5)}[/tex]
m=[tex]\frac{5}{-4}[/tex]
m=[tex]-\frac{5}{4}[/tex]=-1.25
To find b, you can use any of the given points:
(-9,-2)
(-2)=-1.25(-9)+b
-2=11.25+b
-2-11.25=b
b=-13.25
Therefore, using the calculated values for m and b:
y=mx+b
y=-1.25x-13.25
Scores on a national English test are Normally distributed, with a mean score of 510 and a standard deviation of 75. Sixty-eight percent of English tests were less than which score, rounded to the nearest whole number?
A) 475
B) 529
C) 545
D) 561
Answer:
Should be (C). Can't verify.
545
ED2021
Calculate the next term in the geometric sequence that is calculated with a ratio of 19 if the current term is 38
Answer:
Step-by-step explanation:
The next term is going to be simply 38*19 = 722
The series is geometric which means that you multiply from one term to get to the next.
The ratio of 19, and the current term is 38. So to get to the next term, multiply 38 * 19
Write the number 16,107,320 expanded form.
Answer:
Sixteen million, one hundred and seven thousand, three hundred twenty
Step-by-step explanation:
Plz help’
!
I’ll be giving extra points
because it's value will always be same
Answer:
This value doesn't depend on x or y
It'll be the same things always
1 gallon = 3.8 liters 1 mile = 1.6 kilometers using the conversion above,a bus that uses that uses 10 liters of gasoline to travel 10 liters of gasoline to travel 100 kilometers would have an efficiency rating closest to a) 15 miles per gallon b) 24 miles per gallon c) 38 miles per gallon d) 60 miles per gallon
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Answer:
b) 24 miles per gallon
Step-by-step explanation:
The usual metric measure of vehicle fuel efficiency is liters per 100 km. Greater efficiency is indicated by a lower value.
In the US, the measure is usually miles per gallon. Greater efficiency is indicated by a higher value. Since we want the efficiency expressed in miles per gallon, we need to divide distance by fuel consumption.
(distance)/(fuel used) = (100 km)/(10 L)
= (100 km)/(10 L) × (1 mi)/(1.6 km) × (3.8 L)/(1 gal) = (100×3.8)/(10×1.6) mi/gal
= 23.75 mi/gal ≈ 24 mi/gal
Which is the
Simplified form
r-7+s-12
Answer:
r + s - 19
General Formulas and Concepts:
Algebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
r - 7 + s - 12
Step 2: Simplify
Combine like terms [constants]: r + s - 19Find the unit price of each of the following items Round your answer to the nearest tenth
frozen orange juice
16.0% at $2.01
12 oz at $1.69
Answer:
12.56 cents
14.08 cent
Step-by-step explanation:
The unit price for each of the following items could be obtained thus :
The unit price = price of one item
Therefore, given that x numbers of a certain item cost y ;
The unit price will be : y / x
frozen orange juice
16.0 oz at $2.01
12 oz at $1.69
If 16 oz cost $2.01
1 oz = $2.01 / 16 = $0.125625 * 100 = 12.56 cents
If 12 oz = $1.69
1 oz = $1.69 / 12 = $0.1408333 * 100 = 14.08 cent
Evaluate.
(45)3
64/125
16/25
12/15
Answer:
64
------
125
Step-by-step explanation:
(4/5)^3
We can rewrite this as
4^3
----------
5^3
64
------
125
Which statement explains how you could use coordinate geometry to prove that quadrilateral ABCD is a square
Answer:
Prove that all sides are congruent and that the slopes of consecutive sides are opposite reciprocals. Step-by-step explanation: In order to two segmets to be perpendicular, the slope of both lines must be opposite and reciprocals, having a 90° interception and forming a square.
fill in each balance???
Answer:
Step-by-step explanation:
Take the beginning number and add or subtract each transaction to get a new balance. For example,
349.45
- 23.42 = 326.03
- 14.95 = 311.08
+ 276.50 = 587.58
- 219.93 = 367.65
- 76.84 = 290.81
