The solution to simplifying the algebraic expression is: -4u² - 15u - 2
How to solve Algebraic Expressions?Algebraic expressions are defined as the idea of expressing numbers using letters or alphabets without specifying their actual values
The algebraic expression we want to simplify is:
3u² - 5u + 4 - (7u² + 10u + 6 )
Simplifying the bracket gives us:
3u² - 5u + 4 - 7u² - 10u - 6
Arranging like terms gives us:
3u² - 7u² - 5u - 10u + 4 - 6
= -4u² - 15u - 2
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To prove that ΔDEF ≅ ΔDGF by SSS, what additional information is needed?
1. ∠DEF ≅ ∠DGF
2. ∠DFE ≅ ∠DFG
3. DE ≅ DG
4. DG ≅ GF
The additional information needed to prove that ΔDEF ≅ ΔDGF by the SSS Congruence Theorem is: 3. DE ≅ DG
Recall:
If two triangles have three pairs of congruent sides, the two triangles can be proven to be congruent triangles based on the SSS Congruence Theorem.In the figure given, ΔDEF and ΔDGF is shown to have the following two pairs of congruent sides:
EF ≅ GF
DF ≅ DF (both triangles share a common side)
We need an additional information that shows that the third sides of both triangles (DE and DG) are congruent to each other.
Therefore, the additional information needed to prove that ΔDEF ≅ ΔDGF by the SSS Congruence Theorem is: 3. DE ≅ DG
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Answer:
C. DE ≅ DG
Step-by-step explanation:
Have a good day!
A right circular cylinder has a surface area of 66π. If the height of the cylinder is 8, find the diameter of the base.
Answer:
6
Step-by-step explanation:
h = 8
Surface area = 66π
2πr(r +h) = 66π
2πr(r + 8) = 66π
[tex]r(r + 8) =\dfrac{66\pi }{2\pi }[/tex]
r² + 8r = 33
r² + 8r - 33 = 0
r² + 11r - 3r - 33 = 0
r(r + 11) - 3(r + 11) = 0
(r +11 ) (r - 3) = 0
r - 3 = 0 {Ignore r = -11 as radius will not have negative value}
r = 3
Diameter = 3*2 = 6 units
HELP PLS ASAP I WILL AWARD BRAINLIEST!!!
Answer:
32
Step-by-step explanation:
the cofactor of 24 is then subtracted by the diameter of pi and then sent to the power of 2 after that divide by 2 and multiply by 6
Record the prime factorization of 720 using exponents
Answer:
20
Step-by-step explanation:Because thats the last two digets
The prime factorization of 720 using exponents is 2⁴×3²×5.
The given number is 720.
Prime factorization is a way of expressing a number as a product of its prime factors. A prime number is a number that has exactly two factors, 1 and the number itself.
The factors of 720 are
720 = 2×2×2×2×3×3×5
Exponent is defined as the method of expressing large numbers in terms of powers. That means, exponent refers to how many times a number multiplied by itself.
Now, 2×2×2×2×3×3×5 = 2⁴×3²×5
Therefore, the prime factorization of 720 using exponents is 2⁴×3²×5.
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If a line has the x-intercept of (4,0) and no y-intercept, what is the Slope-intercept form equation ? Please !!
Answer:
y=mx+c
0=m(4)+c
c=4m
positive slope
When you need to convert from one system of measurement to another, you should convert to the a) system that will have the highest number. b) system that will have the smallest number. c) system used on the medication label. d) metric system.
· Check Your Understandin
What is the absolute value of -10?
What is the absolute value of -10?
Answer:
10
Step-by-step explanation:
the absolute value of a number is the distance from 0
the answer will ALWAYS be positive ;)
PLEASE HELP ITS DUE NOW!!!!!!
WILL MARK BRAINLIEST!!!!!
Answer:
answer is in the image
Step-by-step explanation:
hope you have a great day i hope its the answer
An airplane starts to descend from an altitude over 30,000 feet at what rate is the airplane descending?
Answer:
20,000 feet
Step-by-step explanation:
Based on the initial altitude and the rate that the plane is descending, the relevant equation is = 30,000 - 2,000x. The altitude after 5 minutes is 20,000 feet above sea level.
The plane begins at 30,000 feet above ground and is descending at 2,000 feet per minute. The relevant equation after x minutes is:
= Initial altitude - (Descent in feet per minute x Number of minutes)
Plugging in the values gives:
= 30,000 - (2,000 × x)
= 30,000 - 2,000x
creds to Parrain
An exponential function in the form y=2401(b)^x contains the point (4,1). What is the value of b?
help pls and ty! i will give brainliest to the correct answer
Answer: 24km
Step-by-step explanation:
given 1cm : 8km
distance between cafe and restaurant upply store= 3cm
Real distance = 3x8 =24 km
n = 3:
– 3 and 4 + 2 i are zeros:
f(- 1) = 58
Answer:
de eitcukqrncjakgkciwitjfuqjrjcjwjtjfkwjtkckskrkchakrjfnrjcjdnsnfncdn
PLEASE HELP! Economics
Answer:
Are Included in calculating the parity of purchasing power .Hope helpsWhich of the following is a solution of y - x < -3?
(6, 2)
(2, 6)
(2, -1)
Answer:
2,-1
Step-by-step explanation:
Find the domain of the rational expression:
6x2 - 13x - 5/
x+7
Answer:
Domain (value of x) is any real value except x=13orx=−25
Explanation:
Domain is the value of x in the function. Here the denomintor must not be zero. 6x2+13x−5≠0or6x2+15x−2x−5≠0or3x(2x+5)−1(2x+5)≠0or(3x−1)(2x+5)≠0orx≠13andx≠−52∴Domain (value of x) is any real value except x=13orx=−25 [Ans]
mark me brainliest plss
Domain (value of x) is any real value except x=13 or x=−25
The domain is the value of x in the function.
Here the denominator must not be zero.
What is the domain?
The domain of a function is the set of inputs accepted by the function.
6x^2+13x−5≠0
or 6x^2+15x−2x−5≠0
or 3x(2x+5)−1(2x+5)≠0
or (3x−1)(2x+5)≠0
or x≠13 and x≠−52
∴Domain (value of x) is any real value except x=13 or x=−25.
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Hi gm i need help pls
50 pts
Answer:
y = 3x
Step-by-step explanation:
Rise over Run
3 over 1
or 3
Hope this helps!
i'll mark brainliest thanks in advance ·
Answer:
a.8
Step-by-step explanation:
Please helpp!! best answer gets brainliest
Answer:
the answer is B and C, because B equals .57 and C is .666 continuous
Answer:
C
Step-by-step explanation:
Turn everything into a fraction (round if needed)
4/7 = 0.571
A. 2/5 = 0.4 (0.4 < 0.57) since 0.4 is smaller than 0.57, it’s not A.
B. 0.57 (0.57 < 0.571) 0.56 is less than 0.571, so the answer could not be B.
C. 2/3 = 0.67 (0.67 > 0.57) 0.67 is greater than 0.571, meaning the answer could be C.
Mary mixes 11/12oz of red paint with 1 3/4oz of white paint.
How many ounces of paint does Mary mix?
Answer:
2 8/12 or simplified it is 2 2/3.
Frederick works in a grocery store and also mows lawns . He earns $ 10 per hour at the grocery store and $ 8.50 per hour mowing lawns . He worked a total of 35 hours last week , of which he spent x hours mowing lawns . Which is the simplified equation that represents the relationship between his earnings , y , in dollars and the number hours he spent working last week?
Answer:
just multiply 35 by x and then 10 by however many lawns he mowed (if that makes sense)
Step-by-step explanation:
watch it and tell me what u think
Find the area of the polynomial:
A.) 6a^3 + 12a^2 − 15a
B.) 6a^3 + 12a − 15
C.) 6a^2 + 12a − 15
D.) 5a^2 + 7a − 2
Answer:
A.) 6a^3 + 12a^2 - 15a
Step-by-step explanation:
Area = w * l
Area = 3a(2a^2 + 4a - 5)
Area = 6a^3 + 12a^2 - 15a
There are 6 roses in a vase of flowers. The rest are daisies. (a) What is the ratio of all flowers 15 in the vase to daisies? (b) What is the ratio of roses to daisies?
Answer:
(a) No. of daisies=15-6
=9
Flowers:Daisies
15:9
(b) Roses:Daisies
6:9
2:3
#roses_are_rosie:))
Answer:
a) 15 : 9
b) 2 : 3
Step-by-step explanation:
Total flowers: 15
Roses: 6
Daisies: 15 - 6
= 9
a) Ratio of all flowers to daisies:
> 15 : 9
b) Ratio of roses to daisies:
> 6 : 9
> 2 : 3 (simplified)
Subtract: 3/4y-(1/2y+1/3)
ujyumruyrunhngyun76m7
Pls answer questions 1-4 on this pic
(must include the math work)
i will give brainlist for the most helpful answer
#1
Breadth=
[tex]\\ \sf\longmapsto 1\dfrac{3}{4}in=\dfrac{7}{4}in=7(2)ft=14ft[/tex]
Length=
[tex]\\ \sf\longmapsto 1in=8ft[/tex]
#2.
Length=
[tex]\\ \sf\longmapsto 2\dfrac{1}{4}in=\dfrac{9}{4}in=9(2)=18ft[/tex]
Breadth=
[tex]\\ \sf\longmapsto 2in=16ft[/tex]
#3
Length(Left side)
[tex]\\ \sf\longmapsto 2\dfrac{1}{4}+1+2\dfrac{3}{4}=\dfrac{9}{4}+1+\dfrac{11}{4}=6in=6(4)=24ft[/tex]
Length (right side)
[tex]\\ \sf\longmapsto 1\dfrac{3}{4}+2+3\dfrac{1}{4}=6in=24ft[/tex]
Breadth
[tex]\\ \sf\longmapsto 1\dfrac{3}{4}+2\dfrac{1}{4}4in=16ft[/tex]
Done
___________
[tex]\:[/tex]
Answer in the picture.
choose the inequality that represents the following graph
Help plz
Answer:
D
Step-by-step explanation:
Remember:
close circle means greater than or equal to
open circle means greater than
Therefore
x [tex]\geq[/tex] -4
rewrite 4x plus 2y equals 6 in slope intercept form.
Answer:y=-2x+3
Step-by-step explanation:
Find the equation for g
Answer:
Ti lah 13435364646166161611646646767676797979494
how to find 75% of 156
Divide the percent by 100 to get a decimal number:
75% / 109 = 0.75
Now multiply:
156 x 0.75 = 117
75 % 0f 156 = 117
−4[−2(7−10)−15]2(−1)
Answer:
-72
Step-by-step explanation:
You first solve what's inside the parenthesis.
(7-10) = -3
(-2(-3)-15)= -9
-4(-9)(2)(-1)= -72
Therefore, the answer is -72.
Hope it helped!
