Answer:
D) [tex](x-4.5 )^{2} =16.25[/tex]
Step-by-step explanation:
Explanation
Given that the equation
x² - 9 x +11 =7
[tex]x^{2} -\frac{9}{2} (2x) +11=7[/tex]
[tex]x^{2} -\frac{9}{2} (2x) +(\frac{9}{2} )^{2} -(\frac{9}{2}) ^{2}+ 11=7[/tex]
By using (a-b)² = a²-2ab+b²
[tex](x-\frac{9}{2} )^{2} -(\frac{9}{2}) ^{2}+ 11=7[/tex]
[tex](x-\frac{9}{2} )^{2} -(\frac{9}{2}) ^{2}+ 11-7=0[/tex]
[tex](x-\frac{9}{2} )^{2} -(\frac{81}{4}) + 4=0[/tex]
[tex](x-\frac{9}{2} )^{2} +(\frac{-81+16}{4}) =0[/tex]
[tex](x-4.5 )^{2} -16.25 =0[/tex]
Final answer:-
[tex](x-4.5 )^{2} =16.25[/tex]
Convert 2.235 to the simplest fraction
Answer:
2 47/200
I don't know if is right, but that's what I got.
A minibus drives 101 km in 1 hour. What is its average speed in kilometers per hour?
Answer:
Step-by-step explanation:
Average speed is distance divided by time.
s=(101km)/(1hr)
s=101 km/hr
What is the volume of the solid figure
Answer:
102 foot^3
Step-by-step explanation:
First, the box in the middle: 4x3x8=96
Then the 2 other boxes are: 2x(1x1x3)=6
6+96=102
Larry can buy 4 pizzas for $27 at Pizza Rocks or pay $32 for 5 pizzas at Scrabbles Pizza. Which deal
should he take to get the best deal? (Pizza Rocks or Scrabbles Pizza)
Whoever responds first will get marked best
Answer:
the $32 for 5
Step-by-step explanation:
Answer: I think he should get the "Pizza Rocks".
Sorry if its wrong!
Suppose we select without looking one marbles de containing 5 red marbles and 7 green marbles What is the probability of selecting each of the following a) A red marble c) A purple marble b) A green marble d) Ared or a green marble a) What is the probably 3
Answer:
a) 5/12 probability of selecting a red marble.
b) 7/12 probability of selecting a green marble.
c) 0% probability of selecting a purple marble.
d) All marbles are either red or green, so 100% probability of selecting a red or a green marble
Step-by-step explanation:
A probability is given by the number of desired outcomes divided by the number of total outcomes.
a) A red marble
5 red marbles out of 5 + 7 = 12 total marbles
So, 5/12 probability of selecting a red marble.
b) A green marble
7 green marbles out of 5 + 7 = 12 total marbles
So, 7/12 probability of selecting a green marble.
c) A purple marble
There are no purple marbles, so 0% probability of selecting a purple marble.
d) A red or a green marble
All marbles are either red or green, so 100% probability of selecting a red or a green marble
what is the reciprocal of 19
Answer:
1/19
Step-by-step explanation:
In order to find the reciprocal of a number, we need to flop it over.
"Flopping over" is not the same as "changing the sign of the number"
So what does "flopping over" actually mean?
Consult the following formula:-
[tex]\sf{The~reciprocal~of~a~is\mapsto\frac{1}{a} }[/tex]
According to the formula,
[tex]\sf{The~reciprocal~of~19~is~\frac{1}{19}}[/tex]
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)
2.2 Roulette wheel: The game of roulette involves spinning a wheel with 38 slots: 18 red, 18 black, and 2 green. A ball is spun onto the wheel and will eventually land in a slot, where each slot has an equal chance of capturing the ball. a) You watch a roulette wheel spin 4 consecutive times and the ball lands on a red slot each time. What is the probability that the ball will land on a red slot on the next spin
Answer:
9/19
Step-by-step explanation:
Number of slots =38
red balls R = 38, black balls B = 18, green balls G = 2
we want to calculate
P( Red ball/ previous 4 spins are red) = P( red ball) [because each spin is independent to other]
= 18/38 = 9/19
Help please!
Find f(-4)=
There are 2 white chocolates for every plain chocolate in a box of chocolates.
There are no chocolates of any other colour in the box.
There are 10 plain chocolates in the box.
How many chocolates are there in the box altogether?
Answer:
The are 30 chocolates in the box.
Step-by-step explanation:
Since there are 2 white chocolates for every plain chocolate in a box of chocolates, and there are no chocolates of any other color in the box, and there are 10 plain chocolates in the box, to determine how many chocolates are there in the box altogether the following calculation must be performed:
10 + (2 x 10) + 0 = X
10 + 20 + 0 = X
30 = X
Therefore, there are 30 chocolates in the box.
help asap please i will give you a heart
Answer:
32.4
Step-by-step explanation:
i knoiw it
I need help figuring this trig identity problem out because the answer choices in each drop down aren’t making sense to me.
Answer:
(csc c-cot c) ^2
Step-by-step explanation:
Madison will be 14 in 5 years . Which equation best describes Madison‘s age (x) today?
A factory produce bicycles at a rate of 110+0.5t^2-0.9t bicycles per week (t in weeks)
how many bicycles were produced from 8 to 2
Answer:
221
Step-by-step explanation:
Day 8 is the first day of the second week.
Day 21 is the last day of week 3.
We need to know the n umber of bicycles made from t = 1 to t = 3
The function is b(t) = 110 + 0.5t^2 - 0.9t, where t is in weeks.
We need to integrate the function with the limits of 1 to 3.
[tex] \int_{1}^{3} (110 + 0.5t^2 - 0.9t) dt [/tex]
[tex] \int_{1}^{3} (110 + \dfrac{t^2}{2} - \dfrac{9t}{10}) dt [/tex]
[tex]= 110t + \dfrac{t^3}{6} - \dfrac{9t^2}{20} \Biggr|_{1}^{3}[/tex]
[tex] = 330.45 - 109.72 [/tex]
[tex] = 220.7333 [/tex]
Answer: 221
determine el valor de k en la ecuación de la recta kx-3y=0 que es perpendicular a la recta y=2x+4.
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
A road rises vertically 6 feet for every 100 feet traveled horizontally. What is the rate of change in vertical feet conpared to horizontal feet as a car travels this road?
HELP ASAP PLS! The ratio of bows to headbands of Monique’s hair accessories is 8:4. Select all true statements.
A. For every 8 hair accessories, 4 are bows.
B. For every 8 bows, there are 4 headbands.
C. For every 8 headbands, there are 4 bows.
D. For every 8 hair accessories, 4 are headbands.
E. For every 12 hair accessories, 4 are headbands.
Find the area of a triangle with a base length of 6 units and a height of 7 units. PLEASE SHOW YOUR WORK! (10 points)
a
10 square units
b
13 square units
c
14 square units
d
21 square units
Answer:
21 units
Step-by-step explanation:
The formula for solving a triangle is (b×h)/2
So that means 7 × 6 = 42 so then you want to divide 42 by 2
42÷2= 21
Answer:
D 21
Step-by-step explanation:
A=1/2bh is the formula it’s simpl.
original price is 45 and the new price is 56 what is the percent change
Answer:
podés hacerlo de varias formas cra
The perimeter of the triangle below is 42 units.
x + 5
Х
x+7
What is the value of x?
Answer:
x + 5+x+7+Х=42units
3x=42-12
x=30/3
x=10
Please help me . What is x equal to?
1. 2 (x+3) =10
2. 2 (x+3)=9+x
3. 2(2x+1) = 3x+8
4. 2(2x+3) =X+9
Answer:
1. x = 2
2. x = 6
3. x = 6
4. x = 1
Step-by-step explanation: i think thats it
Answer:
x = 2, x = 3, x = 6, x = 1
Step-by-step explanation:
1
2(x + 3) = 10 ( divide both sides by 2 )
x + 3 = 5 ( subtract 3 from both sides )
x = 2
2
2(x + 3) = 9 + x ← distribute parenthesis on left side
2x + 6 = 9 + x ( subtract x from both sides )
x + 6 = 9 ( subtract 6 from both sides )
x = 3
3
2(2x + 1) = 3x + 8 ← distribute parenthesis on left side
4x + 2 = 3x + 8 ( subtract 3x from both sides )
x + 2 = 8 ( subtract 2 from both sides )
x = 6
4
2(2x + 3) = x + 9 ← distribute parenthesis on left side
4x + 6 = x + 9 ( subtract x from both sides )
3x + 6 = 9 ( subtract 6 from both sides )
3x = 3 ( divide both sides by 3 )
x = 1
Find the value of x
Answer:
60 think
Step-by-step explanation:
find the area of the figure
Answer:
30 units
Step-by-step explanation:
The formula for finding the area of a triangle is 1/2b x h
So b = 12
and h = 5
1/2(12) = 6
6 x 5 = 30
I could be wrong here so
Here's a little tip:
I can tell you're using G.oogle Forms, so you can press ctrl + U and find the answers in the code
Distributive property to simplify the expression 5(x+5)
Answer:
5x + 25
General Formulas and Concepts:
Pre-Algebra
Distributive Property
Algebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
5(x + 5)
Step 2: Expand
Distribute 5: 5(x) + 5(5)Multiply: 5x + 25PLEASE HELP ME IN ONE MINUTE
Answer: B
Step-by-step explanation:
Asha makes a conjecture that the perimeter of a square whose sides are an odd
integer is always even. Which choice is the best proof of her conjecture?
Answer:is the bottom left corner “let n ....”
Step-by-step explanation:
50 points! Find the value of x. I will mark brainliest! Random answers will be reported. Thanks :)
Step-by-step explanation:
For 1st question
x = 35° + 15° {exterior angle of a triangle is equal to the sum of two opposite interior angles }
x = 50°
For second question
9x + 16° = 90° + 5x - 14°{exterior angle of a triangle is equal to the sum of two opposite interior angles }
9x - 5x = 90° - 14° - 16°
4x = 60°
x = 60° / 4
x = 15°
Hope it will help :)
What is the measure of angle DFE?
Answer:
28
Step-by-step explanation:
its vertically opposite
Answer:
28
Step-by-step explanation:
Vertical angles always have the same measure, so the measure of DFE would also be 28 degrees
Can the sides of a triangle have lengths 2, 5, and 9?
Help?
Answer:
no
Step-by-step explanation:
help me please thank you!!
Answer:
y=2/7x+4
Step-by-step explanation:
7y-2x=42
7y=2x+42
y=2/7x+6
slope is 2/7
parallel means the slope is the same so y=2/7x+4 is correct
Help me please. Not much I understand here. Please guys?
Answer:
50.2cm
Step-by-step explanation:
16/sin(65)=17.65 (2 of those)
16/tan(65)=7.46 (base)
17.65+17.65+7.46=50.23