Answer:
a² + b² = 68
a3 + b3 = 520
Step-by-step explanation:
Given :
a + b = 10 (1)
ab = 16 (2)
A. Find a² + b²
(a + b)² = a² + 2ab + b² (3)
Substitutite the values of (1) and (2) into (3)
(10)² = a² + 2(16) + b²
100 = a² + 32 + b²
Subtract 32 from both sides
100 - 32 = a² + b²
a² + b² = 68
B. a^3 + b^3
(a + b)^3 = a^3 + b^3 + 3ab(a + b)
(10)^3 = a^3 + b^3 + 3*16(10)
1000 = a^3 + b^3 + 480
a^3 + b^3 = 1000 - 480
a3 + b3 = 520
Find the square root of 1764 using prime factorization with explanation and solution.
Answer:
42
Step-by-step explanation:
The product of the prime factors of 1764 is
1764 = 2² × 3² × 7² , thus
[tex]\sqrt{1764}[/tex]
= [tex]\sqrt{2^{2}(3^{2} )(7^{2} ) }[/tex]
= [tex]\sqrt{2^{2} }[/tex] × [tex]\sqrt{3^{2} }[/tex] × [tex]\sqrt{7^{2} }[/tex]
= 2 × 3 × 7
= 42
Can the common ratio of geometric sequence be equal to 0?
Answer:
No it cant
Step-by-step explanation:
it cant
I NEED HELP !!!!!!!!!
Answer:
b
d
e
Step-by-step explanation:
the standar form is
[tex]ax^{2} +bx+c=0[/tex]
so it's
[tex]0.5x^{2} -3.2x+5.8=0\\\\-x^2-3x+20=0\\\\\frac{1}{2}x^2+4x-3=0\\\\[/tex]
only that
Find JH if I is the midpoint.
Answer:
158
Step-by-step explanation:
If I is the midpoint of JH, JI= IH
JH= JI +IH
JH= JI +JI (subst. IH= JI)
JH= 2(JI)
Since JI= 79,
JH= 2(79)
JH= 158
If you're going 60 miles per hour, how many hours is that? So, in other words, what does "per" mean? How many is "per"?
Answer:
Per pretty much means 1. So for example if I say I'm going 12 miles PER hour it means 12 miles every 1 hour.
What value of x is in the solution set of 2(3x - 1) = 4x - 6?
EO
-10
Answer:
D) -1
Step-by-step explanation:
6x-2≥4x-6
6x-4x≥-6+2
2x≥-4
x≥-4÷2
x≥-2
Only -1 is greater than -2 in the list.
Answer:
x = - 1
Step-by-step explanation:
Given
2(3x - 1) ≥ 4x - 6 ← distribute parenthesis on left side
6x - 2 ≥ 4x - 6 ( subtract 4x from both sides )
2x - 2 ≥ - 6 ( add 2 to both sides )
2x ≥ - 4 ( divide both sides by 2 )
x ≥ - 2
The only value in the list greater than - 2 is - 1
x = - 1 is in the solution set
42 is 6 times larger than which number
Answer:
The answer is 7
Step-by-step explanation:
6*7=42
Answer:
252
Step-by-step explanation:
42 x 6 = 252
To cheek the answer: 252 ÷ 42 = 6
Please help! I dont understand this, I will give 15 points!
Answer:
Step-by-step explanation:
common denominator is the multiplication of the two denominator or the least common multiple of the two
common denominator 24 10 12
13/24 +7/12 ☑ ☑
7/6+(-5/12) ☑ ☑
-3/4+(-2/3) ☑ ☑
5-7/10 ☑ ☑
1/8 - 5/3 ☑ ☑
3/2 - 4/5 ☑ ☑
I don't know. can someone help please??
What is the square root of 1/23?
0.04347826086
Step-by-step explanation:
this is the anwser,just round to whatever you need to
Answer:
0.20851
Step-by-step explanation:
[tex]\sqrt{\frac{1}{23} } \\\\Refine \\=0.20851\dots[/tex]
f(5)= 2(5)+ 4
Thanks
Answer: I HOPE IT HELPS OR WATCH VIDOES ABOUT IT
Step-by-step explanation:
Two unique points define a line. Other geometric figures also may pass through those two points (you will learn those later).
There are several forms of the equation of a line:
Standard form Ax + By = C
Slope-intercept form y = mx + b
Point-slope form y – y1 = m(x – x1)
Two-point form y – y1 = [ (y2 – y1)/(x2 – x1) ](x – x1)
O.K., you picked the two-point form, right?
The points are P1: (5,5) and P2: (7,-4)
y - 5 = [ ((-4) - 5)/(7 - 5) ] (x - 5) (put in x and y values of points)
y - 5 = [ -9 / 2 ](x - 5) (simplify)
y - 5 = -9/2x + 45/2 (distribute -9/2)
y = f(x) = -9/2x + 55/2 (add 5 to both sided)
Check (very important):
Is (5,5) on the line? 5 = (-9/2)(5) + 55/2 ?
5 = -45/2 + 55/2 ?
5 = 10/2 yes.
Is (7,-4) on the line? -4 = (-9/2)(7) + 55/2 ?
-4 = -63/2 + 55/2 ?
-4 = -8/2 ? yes.
6x+2y=12 how do I show my work solve for y :) please help me
Answer:
x=2
Step-by-step explanation:
6x+2y=12
6x+2x0=12
6x+0=12
6x=12
x=2
Mount Kosciuszko is the highest mountain in Australia, with a peak of about 2,228 meters above sea level. Lake Erye has the lowest point at 15 meters below sea level. What is the difference in elevation between Mount Kosciuszko and Lake Eyre? You must show your work on your sheet on notebook paper.
A)2,243
B)2,213
C)2,250
D) 2,210
Answer:
Option (A)
Step-by-step explanation:
Heights above the sea level are denoted with positive notations and depths below the sea level with negative.
Height of the highest peak of the mountain = +2228 meters
Lowest point of the lake = -15 meters
Difference between these elevations = 2228 - (-15)
= 2243 meters
Therefore, Option (A) will be the correct option.
URGENT PLS HELP
BD bisects ABC. Find each of the following
1. Find the measure of angle ABD if the measure of angle ABD = 6x + 4 and
the measure of angle DBC = 8x - 4
2. Find the measure of angle ABC if the measure of angle ABD = 5y - 3 and the
measure of angle DBC = 3y + 15.
All 60 students in the seventh grade must choose a fall sport in which they will participate. If 2/5 of them choose volleyball, 25% of them choose soccer, and the remainder choose softball, how many students choose softball?
Answer:
21
Step-by-step explanation:
24 play volleyball
15 play soccer
Softball= 60-(24+15)=21
or
2/5 = 40%
100% -(40+25)= 35%
60x0.35=21
The pre-image is...
What does a pre image mean
Answer:
i think it means pre image (plural pre images) (mathematics) For a given function, the set of all elements of the domain that are mapped into a given subset of the codomain; (formally) given a function ƒ : X → Y and a subset B ⊆ Y, the set ƒ−1(B) = {x ∈ X : ƒ(x) ∈ B}. The pre image of under the function is the set .
Step-by-step explanation:
Answer:
I forgot what the letter was for this option but The Pre image is a geometric shape BEFORE a transformation occurs ( I think that's option B but u should read it to be sure)
Step-by-step explanation:
Hope this helps I was kinda paying attention
Let C be between D and E. Solve for x
DC = 5x + 8
CE = 3x + 5
DE = 61
is an example of _____.
Answer:
The distributive property
Step-by-step explanation:
The equation 3+7x
5. Tinh Tran is a physical therapist. He earns $49,830 a year and is
single with no dependents. The state income tax rate is 5% of
taxable income. What amount is withheld from his biweekly
pay for state income tax?
Answer:
2491.50$ oooooooooooooooooooooooo
The amount withheld from his biweekly pay for state income tax is $2491.5.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
We have been given that the physical therapist earns $49,830 a year and is single with no dependents.
To determine the amount withheld from his biweekly pay for state income tax.
Since the state income tax rate is 5% of taxable income.
So the amount withheld from his biweekly pay for state income tax as:
⇒ 5 % of 49,830
⇒ (5/100)49,830
⇒ (0.05)49,830
⇒ 2491.50
Therefore, the amount withheld from his biweekly pay for state income tax is $2491.5.
Learn more about the percentages here:
brainly.com/question/24159063
#SPJ2
Which of the following is NOT a subset of the rational numbers
Integers
Whole Numbers
Perfect square integers
Irrational numbers
Use the distributive Property to simplify: (x-7)(x-8)
Answer:
[tex]x^2-15x+56[/tex]
Step-by-step explanation:
Use the FOIL distributive method: [tex]\left(a+b\right)\left(c+d\right)=ac+ad+bc+bd[/tex]
---------------------------------------------------------------------------------------------
Thus, [tex]\left(x-7\right)\left(x-8\right)=x\times x +x\left(-8\right)+\left(-7\right)x+\left(-7\right)\left(-8\right)[/tex]
Multiply them to get:
[tex]x^2-8x-7x+56[/tex]
[tex]x^2-15x+56[/tex]
I need an answer asap!
Answer:
Step-by-step explanation:
(x + 11)/-2 = -8
x + 11 = 16
x = 5
WILL GIVE BRAINLIEST! LOOK AT THE IMAGE ATTACHED!
Answer:
x²-√3 x+1/2
Step-by-step explanation:
(√3-1)/2 and (√3+1)/2
the quadratic equation:
x²-(sum of the root)x +product of the roots
x²-((√3-1)/2 + (√3+1)/2)x+((√3-1)/2) )(√3+1)/2)
x²-(2√3/2)x+ (3-1)/4
x²-√3 x+1/2
x²-x√3 +1/2
- 60= - 24 + 12r
How do I solve this problem and what are the steps to solve the problem
Answer:
r = -3
Step-by-step explanation:
- 60= - 24 + 12r
Add 24 to each side
- 60+24= - 24+24 + 12r
-36 = 12r
Divide each side by 12
-36/12 = 12r/12
-3 =r
Find the value of x for the following situation: the line containing (8,7) and (7,-6) is perpendicular to the line containing (2,4) and (x,3)
Answer:
x=14
Step-by-step explanation:
Answer: x=14
Step-by-step explanation:
Water Use
50
40
30
Water used (gal)
20
10
O
2 4 6 8 10
Time (min)
O y = 10x
O y = 5x
O y=1/10
O y = 1/5
HEEELLLLPPPP MEEEE ASAP!!!!!!!!!!!
Distribute to find the product:(p+3)(2p - 1)
B
2p2 + 5p-3
A
7p-3
С
2p2 +p-3
D
9p + 3
Answer:
B. 2p² + 5p -3
Step-by-step explanation:
Foil method:
2p² -p + 6p -3
2p² + 5p -3
a patio has an area of 120 square feet. the length of the patio is 12 feet. what is its width
w = 10 feet
Step-by-step explanation:Area formula
A = l×w
120ft² = 12ft×w
w = 120ft²/12ft
w = 10 feet
Angle A equals 30 degrees side a equals 7 and side b equals 12
Answer:
to make chocolate milk, the lunch lady uses 4 cups of white milk for each cup of chocolate milk
Step-by-step explanation:
The ratio of teachers to students in the eighth grade it’s in proportion to the ratio of teacher to students in the entire school. If the eighth grade has four teachers and 84 students, how many students are there if there are 25 students in the entire school?
Answer:
525 students
Step-by-step explanation:
84/4 is 21. The ratio is 1 teacher to every 21 students. There are 25 teachers in the entire school. If you multiply that by 21, there are 525 students in the entire school.