Answer:
see explanation
Step-by-step explanation:
Given
[tex]\frac{9}{a^2+9a+20}[/tex] , [tex]\frac{7a}{a^2+11a+28}[/tex]
Factor the denominators of both fractions
[tex]\frac{9}{(a+4)(a+5)}[/tex] , [tex]\frac{7a}{(a+4)(a+7)}[/tex]
The lowest common denominator of both fractions is (a + 4)(a + 5)(a + 7)
Multiply numerator/denominator of first fraction by (a + 7)
Multiply numerator/denominator of second fraction by (a + 5 )
[tex]\frac{9(a+7)}{(a+4)(a+5)(a+7)}[/tex] , [tex]\frac{7a(a+5)}{(a+4)(a+5)(a+7)}[/tex] , then
[tex]\frac{9a+63}{(a+4)(a+5)(a+7)}[/tex] , [tex]\frac{7a^2+35a}{(a+4)(a+5)(a+7)}[/tex]
Hello please help me
Answer:
8x - 15
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining like termsStep-by-step explanation:
Step 1: Define expression
5x + 3(x - 5)
Step 2: Simplify
Distribute 3: 5x + 3x - 15Combine like terms: 8x - 15
Plz I need this thank you this is for 100 points luv u
Answer:
a. 120
b. -120
c. -120
d. -120
e. 120
Step-by-step explanation:
The amount of - will influence whether the value is positive or negative. Odd number of - is always negative. Even number of - is always positive. Hope this helped :)
scientist finds that for every in of rainfall at a lake, the level of the
water in the lakeries 0.6 cm
By how many centimeters will the water in the lake rise after I in of rainfall?
Answer:
0.8 cm
Step-by-step explanation:
I divided 0.6 by 3 and then multiplied by 4 because 0.6 is 3/4 of the portion and we need the other 1/4.
last one ten i need help getting 800 points to have 800/10,000 points so yall can get 200 points to level up bros?
Answer:
what????????????????????????????????????
Answer:
this isnt a question
Step-by-step explanation:
Shirley wants to buy a skateboard for $64. She has $98 in her account. She spent $10.85 to buy stationary. She also wants to buy some cookies for $1.65 each. What is the maximum number of cookies, n, that Shirley can buy so that she has enough money left to buy the skateboard?
n ≥ 14
n ≤ 16
n ≤ 14
n ≥ 16
Answer:
14 cookies
Step-by-step explanation:
Answer:
Step-by-step explanation:
so first you have to subtract 64 dollars from your balance so $98-$64=$34.
Next you have to subtract $10.85 from your new balance so it would be $34-$10.85=$23.15
Last you have to divide 23.15 by 1.65 because you have to see how many cookies you can afford, so it would be 23.15 divided by 1.65 and the answer is 14. so you can afford 14 cookies
At a middle school, 20% of the students are in 6th grade. There are 1,300 students at the middle school. How many students are in 6th grade?
Answer:
260 students
Step-by-step explanation:
20 percent of 1,300 is equal to 260.
What is the discriminant of 9x2 + 2 = 10x? –356 –172 28 72
Answer: C 28
The above person is correct
Step-by-step explanation:
so my brother is seriously struggling with these every day and he is really sad right now it would mean a lot to me if you'd answer these 2 questions :)
1. csc2(x) - 2csc(x)cot(x) + cot2(x) = tan2 (x/2)
2. [cos cos (x) cos(y)] [tan tan (x) + tan tan(y)] = sin(x + y)
Answer:
here you go!
Step-by-step explanation:
Working with the left hand side
( 1 + cos x ) + ( 1 − cos x ) ( 1 − cos x ) ( 1 + cos x 1 + cos x + 1 − cos x 1 − cos 2 x 2 sin 2 x 2 csc 2 x
which is equal to the right hand side
By using trigonometric identities both the questions are proved LHS = RHS. 1. csc2(x) - 2csc(x)cot(x) + cot2(x) = tan2 (x/2). 2. [cos (x) cos(y)] [tan tan (x) + tan(y)] = sin(x + y).
What are trigonometric identities?
Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.
1. csc2(x) - 2csc(x)cot(x) + cot2(x) = tan2 (x/2)
Proof; LHS
[tex]csc^2(x) - 2csc(x)cot(x) + cot^2(x)\\\\(cscx - cot x)^2\\\\(\dfrac{1}{sin x} - \dfrac{cosx}{sin x} )^2\\\\\\(\dfrac{1-cosx}{sin x})^2\\ \\(tan)^2\dfrac{x}{2}\\[/tex]
Thus, LHS = RHS
2. [cos cos (x) cos(y)] [tan tan (x) + tan tan(y)] = sin(x + y)
Proof; LHS
[tex][cos (x) cos(y)] [tan (x) + tan(y)]\\\\ (cos (x) cos(y)) (\dfrac{sinx}{cos x} + \dfrac{siny}{cos y} )\\\\sin x \; cos y +sin y\; cos x\\\\sin (x+ y)[/tex]
Thus, LHS = RHS
Learn more about trigonometric;
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I need help on this problem
Is this true or false
Answer:
true
Step-by-step explanation:
Answer:
True.
Step-by-step explanation:
look at the line, and is it a function or not?
20 points and brainliest answer. Don’t give wrong answers. :)
Answer:
i is d i think so
Step-by-step explanation:
Answer:
it is A area of trapezoid = 1/2 × h( base1+base2) so it is 1/2× 8×(13+19)
Express (x – 3)2 as a trinomial in standard form.
Answer:
x^2 - 6x + 9
Step-by-step explanation:
Divide. Write your answer as a fraction in simplest form.
9/10÷(−6/5)=
Answer:
[tex]-\frac{3}{4}[/tex]
Step-by-step explanation:
1.[tex]\frac{9}{10}[/tex]×[tex]-\frac{5}{6}[/tex]
2.[tex]-\frac{3}{4}[/tex]
2 + 9m >-25 and -9m + 10 > 28
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[tex]2 + 9m > - 25[/tex]
Subtract sides 2
[tex] - 2 + 2 + 9m > - 2 - 25[/tex]
[tex]9m > - 27[/tex]
Divide sides by 9
[tex] \frac{9m}{9} > \frac{ - 27}{9} \\ [/tex]
[tex]m > - 3[/tex]
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[tex] - 9m + 10 > 28[/tex]
[tex]28 < - 9m + 10[/tex]
Add sides 9m
[tex]9m + 28 < 9m - 9m + 10[/tex]
[tex]9m + 28 < 10[/tex]
Subtract sides 28
[tex]9m + 28 - 28 < 10 - 28[/tex]
[tex]9m < - 18[/tex]
Divide sides by 9
[tex] \frac{9m}{9} < \frac{ - 18}{9} \\ [/tex]
[tex]m < - 2[/tex]
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Write an equation in the form y=kx for the relationship shown in the graph.
Answer:
y=6.5x
Step-by-step explanation:
Choose a point on the graph and tell what the point represents.
The point (2, 13) represents the height of the balloon after 2 seconds.
What is the constant of proportionality?
Because
height
time
=
13
2
= 6.5, the constant of proportionality is 6.5.
Write an equation in the form y = kx.
y = 6.5x
The equation is y = 6.5x.
What is equation?An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra.
We can consider the point (24, 6)
To write the value of K we can write
=24/6
= 4
Hence, the equation is y=4x.
Learn more about equation here:
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What is a variables
Answer:
A variable is a special type of amount or quantity with an unknown value. The opposite of a variable (that is, a known value) is called a constant.
Step-by-step explanation:
can i have brinlest plzz
urgent! i need an explanation please *picture included* also can someone make sure the second one is b or not?
Answer:
For the first one it is D.
Step-by-step explanation:
I added 84.6 and 30.4 which gives me 115. I then added 66 to get 181, triangles angles only add up to 180 degrees, therefore they are not similar.
Answer both question
Answer:
5.)
15.36+x=32.11
15.36+x-15.36=32.11-15.36
x=32.11-15.36
x=16.75
6.)
-2(a-3b+c)
-2a+6b-2c
7.)
3a+15y-5a=-a+2(3-a)
-2a+15y= -a+6-2a
-2a+15y=-3a+6
-2a+15y+2a=-3a+6+2a
15y=-a+6
15y/15=-a+6/15
y=-a+6/15
I hope this is good enough:
5x5 to the power of two
Answer: 125
Step-by-step explanation:
Answer: 25
Step-by-step explanation:
The thanksgiving turkey directions say you need to cook the turkey for 60 minutes for every 4 pounds of turkey. Your mom bought a 25 pound turkey. How many minutes should she cook it for?
Answer:
Either 6.25 Minutes Or 15 Minutes Or If You Are Multilpyling It Would Be 245 Or 1500 Or 100
Step-by-step explanation:
Just Divide It And Then You Will Get The Answer
Hope My Calculations Are Right! ;)
Answer:
375
Step-by-step explanation:
That's gonna take 375 minutes:
60/4 = 15
So 15 minutes for each pound, 25*15 = 375
Bill, Lil, and Phil are going to equally share a bag of snacks for the weekend that holds 2 1/4 lb. How much will each receive?
Answer:
Each will receive [tex]\frac{3}{4}[/tex]lbs of snacks.
Step-by-step explanation:
We know Bill, Lil, and Phil are sharing one bag of snacks that is 2[tex]\frac{1}{4}[/tex]lbs. Therefore, we must divide the bag of snacks into three.
To do this, divide 2[tex]\frac{1}{4}[/tex]÷3
= 0.75
which is [tex]\frac{3}{4}[/tex] in fraction form.
A scale model of a human heart is 190 Inches long. The scale is 34 to 1. How many Inches long is the actual
heart? Round your answer to the nearest whole number.
Answer:
6 inches long
Step-by-step explanation:
190/x = 34/1
34x = 190
x= 5.588235294
rounded to the nearest whole number is 6
Which percent is equivalent to 0.02?
Answer:
2 OR 20
Step-by-step explanation:
Find the slope of the line that passes through (80, 300) and (70, 500).
Answer:
m = -20
Step-by-step explanation:
Which quadrant will be completely shaded by the graph of the inequality y < 3x ?
A Quadrant !
B. Quadrant 11
C. Quadrant III
D. Quadrant IV
Answer:
ill say c
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Given the following linear equation state the slope and the y-intercept.
y = 2x - 3
m =
b =
Which expression is a perfect cube?
O
0 -1.452m 18 ,15,22
-1,331m18,15 p21
1,331m18,15 p22
O 1.452m18
1.452m8n15,921
Answer:
The answer is b
Step-by-step explanation:
I just took the quiz
how to find the factors of 63
The factors are basically the numbers that you can multiply to get the number. For example, 9 and 7 multiplied give you 63, 3 and 21 also give 63, so those are factors of 63
Answer:
63 is a composite number. 63 = 1 x 63, 3 x 21, or 7 x 9. Factors of 63: 1, 3, 7, 9, 21, 63.
Step-by-step explanation:
What is 35a + 14 = 1
Answer:
a = -13/35
Step-by-step explanation:
35a + 14 = 1
(given)
_________
35a + 14 = 1
- 14 -14
(subtraction property of equality)
(subtract 14 from both sides to isolate the 35a term)
_________
35a = -13
÷35 ÷35
(division property of equality)
(divide by 35 on both sides to remove the coefficient of 35 in 35a)
_________
a = -13/35
35a+14=1
35a+14 - 14 = 1 - 14
35a= -13
35a= -13
35a = -13
35 35
a= -13/35
Trapezoid ABCD has the following coordinates-A (2, 8), B (6, 8), C (8, 3), and D (1, 3). What are the coordinates of trapezoid A'B'C'D' after a translation of 3 units right and 4 units down?
Answer: A' ( -1,4) , B' (-4,4), C'( -5 ,-1), D'( -1,-5)
Im not 100% sure its correct, its hard without an image or a picture of the problem
Step-by-step explanation: