Write a complete two-column proof for following information.
Given: AB = 3y - 1, BC = 7y, AC = 29
Prove: AB = 8
What is the solution to the following system of linear equations?
Y=-31-9
2x + 3y = -13
A. (-3,-2)
B. (-3,0)
C. (2,3)
D. (-2,-3)
Answer:
x=107/2, y=-40. (107/2, -40).
Step-by-step explanation:
y=-31-9=-40
2x+3(-40)=-13
2x-120=-13
2x=-13+120
2x=107
x=107/2
A. f(x) =1/2 (4,000)^x
B. f(x) = 4,000(2)^x
C. f(x) = 2,000 (1/2)^x
D. f(x) = 4,000 (1/2)^x
At a sale, suits were sold for $72 each. This price was 45% of a suit's original price. How much did a suit originally cost?
Answer:
$160
Step-by-step explanation:
Let the original cost of suit be x
If the suits were sold for $72 each and this price was 45% of a suit's original price, then;
72 = 45% of x
72 = 0.45x
x = 72/0.45
x = 160
Hence the original price of the suit is $160
Answer:
160
Step-by-step explanation:
got it correct ig lol
find the given questions
9514 1404 393
Answer:
next term: 15an = n(n+1)/2Step-by-step explanation:
Each term is the previous term with the current term number added. The 5th term will be 5 + (4th term) = 5 + 10 = 15.
The next term is 15.
_____
The sequence of triangular numbers is given by the explicit formula ...
an = n(n+1)/2
__
Finding the Formula
The sequence of first differences is ...
3 -1 = 2
6 -3 = 3
10 -6 = 4
And the sequence of second differences is ...
3 -2 = 1
4 -3 = 1
These are constant, indicating the sequence is described by a polynomial function of 2nd degree.
There are several ways to find the coefficients of the quadratic function. One is to solve for them using a system of equations.
n = 1
a1 = 1 = a(1)^2 +b(1) + c
n = 2
a2 = 3 = a(2)^2 + b(2) +c
n = 3
a3 = 6 = a(3)^2 +b(3) +c
To solve, we can subtract each equation from the next:
a2 -a1 = (3) -(1) = a(4 -1) +b(2 -1) +c(1 -1)
2 = 3a +b
and
a3 -a2 = (6) -(3) = a(9 -4) +b(3 -2) +c(1 -1)
3 = 5a +b
Now we can subtract the first of these equation from the second:
(3) -(2) = a(5 -3) +b(1 -1) ⇒ 1 = 2a ⇒ a = 1/2
Then ...
2 = 3(1/2) +b
1/2 = b
1 = a + b + c ⇒ 1 = 1/2 + 1/2 + c ⇒ c = 0
So, the quadratic function describing the sequence of triangular numbers is ...
an = (1/2)(n^2 +n)
an = n(n+1)/2
Which expression is equivalent to 10f - 5f + 8 + 6g + 4? I’ll mark Brainliest :D
Answer:
The answer is 5f + 6g +12
Step-by-step explanation:
Answer:
5f + 6g +12
Step-by-step explanation:
Simplify the expression.
A triangle has angles that measure 106° and 59°.
What is the measure of the third angle?
74º
121°
15°
47°
A man is 32 years older than his son. Ten years ago he was three times as old as his son. find the present age of each?
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
192
Step-by-step explanation:
8²+x²=16²
x=y
[tex]x = \sqrt{192} [/tex]
[Help asap, will mark brainliest] In the figure, line a is parallel to line b.
Answer:
m <5 = 65°
m<8 = 115°
Step-by-step explanation:
m<2= m<5 = 65° (vertically opposite angles are equal)
m<5 + m<4 = 180 (co-int angles, parallel lines)
65+ m<4 =180
m<4 = 115°
Therefore
m<4=m<8 = 115° (vertically opposite angles are equal)
Answer:
m<5 = 65 degrees m<8 = 115 degrees
Step-by-step explanation:
m<2 = 65 degrees
m<2 = m<5 so
m<5 = 65 degrees
A line is 180 degrees, so
180 degrees - 65 degrees = 115 degrees
m<8 = 115 degrees
Which of these is a function please answer.
Answer:
1 and 3
Step-by-step explanation:
Answer:
Options 1 and 4Step-by-step explanation:
Option 1
x-values are different and y-values are sameThis is a functionOption 2
x-values are repeated (3) with different y-valuesThis is not a functionOption 3
x-values are repeated and y-values are differentThis is not a functionOption 4
x- values are different, y-values are differentThis is a functionWrite the word sentence as an inequality. Then solve the inequality.
The product of −2 and a number x is greater than 30.
Step-by-step explanation:
divide by 2 then reverse
The final price of an iPhone 12 Pro Max was $1072.85 after a 7.5% sales tax was applied. What was the original cost of the phone? Please explain
Answer:
992.39
Step-by-step explanation:
sales tax was 80.46 subtract from 1072.85 get 992.39 original price.
C. No, Bretts claim is incorrect because the pythagorean can only be used with a right triangle
D. No, Bretts claim it is incorrect because the pythagorean theorem can only be used when the side length of a triangle are equal
CAN SOMEBODY PLEASE HELP
Answer:
C. The answer is C, as pythagorean theorem only works on right triangles.
hi i would rly appreciate ur help on this. I need to write these expressions as products:
1. ((a+1)^3)+(x^3)
2. ((y-2)^3)-27
3.((a-b)^3)+b^3
4. (8x^3)+((x-y)^3)
5. (27a^3)-((a-b)^3)
Thank you so much i rly appreciate it
Answer:
1.) ((a+1)^3)+(x^3) = a^3 + 3a^2 + 3a + x^3 + 1
2.) ((y-2)^3)-27 = (y^2-y + 7) x ( y - 5 )
3.) ((a-b)^3)+b^3 = a (a^2 - 3ab + 3b^2 )
4.) (8x^3)+((x-y)^3) = 9x^3 -3x^2 y + 3xy^2 - y^3
5.) (27a^3)-((a-b)^3) = 26a^3 + 3a^2 b - 3ab^2 + b^3
5) factor = (a+b)(a+b)^ 2 if a is squared and if b is cubed and moved over to = 0 then we can find (a+b)(a+b)^2 but in all cases of quadratics you can set (x -1 ) = 1 and (x-1 ) = 1 so they are always positive. Which is the same if they start of negative.
For question 5 we have a factor solved (a+b)(a+b)^ 2
Which means the same as this expansion
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Im having trouble with these and ive been staring at my screen for over an hour- I just need to know the answer-
Answer:
(-3, 4)
It doesn't show any coordinates so I assume that the origin is where the x and y axes intercept
Area of a Parallelogram
Answer:
P=28
Step-by-step explanation:
a=bh
24= 12x
24 divided by 12=2
12 +2+12+2= 28
Please do a step by step so that i can show work.
Answer:
See this attachment...
What is 591x37+125-16
Instant brainliest to HXH fans, proof if you name the 6 most important characters and the full name of the show
Answer:
Leorio, Gon, Killua, Kurapika, Hisoka, and Ging
Step-by-step explanation
Answer:
It's 21976 Gon! >:3
well- in my opinion i think its u, lol me killua, Leorio //side note: ofc the doctor//coOk kURAPIKA, HISOKA- //bUNGee gUM// i dont gaf about my brother illumi so the lost father //gINg// is it >:3
Step-by-step explanation:
:3
1. Which is an exponential equation?
(1) y = x2
(3) y = 2x-3
(2) y =5^x
(4) y = 1/x
HELP!! ILL GIVE BRAINLIEST
Answer:
The answer is 90 degrees.
Step-by-step explanation:
If you want an explination, I'm more than happy to explain.
Answer:x=90
Step-by-step explanation:
90
a store bought an aquarium at a cost of $60 and marked it up 50%. Later on the store marked it down 30%. What was the discount price?
Answer:
$27
Step-by-step explanation:
0.50 * 60 = 30
60 + 30 = 90
0.30 * 90 = 27
Padma buys a coat for $32.95 and a pair of shoes for $16.45. She is charged 5% sales tax.
What is the total cost of Padma’s purchases?
A. $47.81
B. $51.87
C. $53.46
D. $57.92
Giving brainliest!!!Please help.. :(
Select the statement that describes this expression: 5 x (3 + 4) − 4.
A) 5 times the sum of 3 and 4, then subtract 4
B) 5 times 3 plus 4 minus 4
C) 5 more than the sum of 3 and 4, and then subtract 4
D) 5 times 3 plus the difference of 3 and 4
A is the answer 5 times the sum of 3 and 4 then subtract 4
Answer:
A
Step-by-step explanation:
A the anser is A deal with it...
HELP NEED THIS FOR A TEST!!! 20 POINTS!!
Diego's family car holds 14 gallons of fuel. Each day the car uses 0.6 gallons of fuel. A warning light comes on when remaining fuel is 1.5 gallons or less.
Answer:
a.
capacity of car = 14 gallons
consumption of fuel in one day = 0.6 gallons
consumption of fuel in 14 days = 14 x 0.6 = 8.4 gallons
fuel remaining in car = 14 - 8.4 = 5.6 gallons
so they can drive the car without warning.
b.
consumption of fuel in one day = 0.6 gallons
consumption of fuel in 25 days = 25 x 0.6 = 15 gallons
fuel remaining in car = 14 - 15 = -1 gallons
so they can't drive the car without warning.
c.
the expression 14 - 0.6t represents remaining fuel in the vehicle, where t represents number of days.
d.
14 - 0.6t = 1.5
or - 0.6t = 1.5 - 14 = - 12.5
or t = -12.5 / - 0.6
or t = 20.8333 days
so he can drive 20 days without warning. E.
14 - 0.6t < 1.5
or t < 20.8333
here t represents number of days car can drive without warning light.
Step-by-step explanation:
The inequality is
The maximum number of days that Diego's father can drive the car without the warning light coming on is 20 days
14 gallons-1.5 gallons=12.5 gallons
we know that
If the remaining fuel is greater than 1.5 gallons Diego's father can drive the car without the warning light coming on
so
Let
x ----> the number of days
----> inequality that represent the situation
Solve for x
The maximum number of days that Diego's father can drive the car without the warning light coming on is 20 days
The money Sky makes from babysitting is directly proportional. After 4 hours, she makes $72. How much money would she make after 7 hours?
A) $72
B) $52
C) &126
D) $108
Answer:
C. $126
Step-by-step explanation:
Let us say x is the amount of money Sky makes for babysitting 7 hours.
[tex]\frac{72}{4} =\frac{x}{7}[/tex]
[tex]\frac{72}{4} = 18[/tex]
[tex]18=\frac{x}{7}[/tex]
x=$126
In degrees, what is the measure of MFE?
Answer:
30°
Step-by-step explanation:
It tells us that MFE is equal to (x + 6)° so we need to find x
The angle accross from MFE is RFT. These angles are congruent, because they are a vertical pair. So RFT is also equal to (x + 6)°
The angle RFT and PFR combined form a right angle. This means that RFT + PFR = 90°.
They told us that PFR = (3x - 4)°
so that means that (x + 6) + (3x - 4) = 90°
Knowing that we can just solve the equation by combining like terms
4x + 2 = 90
Subtract two from both sides
4x = 88
And then divide by 4
x = 22
Now we can plug in 22 in the original equation to find MFE
22 + 6 = 30
so MFE = 30°
On a map, 1 inch equals 15 miles. Two cities are 3 inches apart on the map. What is the actual distance between the cities?
Actual distance = distance on map x the scale:
3 inches x 15 miles per inch = 45 actual miles.
The first time Jane went to the fitness center she exercised for 20mins. She adds 10 mins to her exercise program every other day after that. how many days will it take Jane to build her exercise program every other day after that. how may days will it take Jane to build her exercise program up to an hour in length?
Answer:
9 days
Step-by-step explanation:
Day 1 20 min
Day 2 20 min
Day 3 30 min
Day 4 30min
Day 5 40 min
Day 6 40 min
Day 7 50 min
Day 8 50 min
Day 9 60 min
HELPPPPPPPPPPPPPPPPPPOPPPPPPP PLZZZ
Answer:
x^2 + 3x
Step-by-step explanation:
just add like terms so 3x^2 - 2x^2 = x^2 and 11x - 8x = 3x