[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{1}x^2\stackrel{\stackrel{b}{\downarrow }}{-4}x\stackrel{\stackrel{c}{\downarrow }}{+2} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{ -4}{2(1)}~~~~ ,~~~~ 2-\cfrac{ (-4)^2}{4(1)}\right)\implies (2~~,~~2-4)\implies (2~~,~~-2)[/tex]
Please help plsass….
Step-by-step explanation:
the area of a circle is
pi×r²
that is for the whole circle, which is the same as 360 degree arc.
now that we have only 254 out of the total of 360 degrees, the sector area is
pi×r² × 254/360
pi×9² × 254/360 = pi×9 × 254/40 = pi×57.15 =
= 179.5420202... cm²
rounding to 1/10 is 180.0 cm².
so, it is actually D - none of the above.
Answer:
D. none of the above
Step-by-step explanation:
the area of a circle is
pi×r²
that is for the whole circle, which is the same as 360 degree arc.
now that we have only 254 out of the total of 360 degrees, the sector area is
pi×r² × 254/360
pi×9² × 254/360 = pi×9 × 254/40 = pi×57.15 =
= 179.5420202... cm²
rounding to 1/10 is 180.0 cm².
so, it is actually D - none of the above.
A ladder 20 m long rests against a vertical wall so that the foot of the ladder is 9 m from the wall. a Find, correct to the nearest degree, the angle that the ladder makes with the wall. b Find, correct to 1 d.p., the height above the ground at which the upper end of the ladder touches the wall.
Answer:
(a) 27°
(b) 17.9m
Step-by-step explanation:
According to the attachment
⠀
let AB be the ladder
BC be the distance between the ladder and wall
⠀
(a) We have to find ∠A by trigonometry formula
[tex] \sf \sin A = \frac{perpendicular}{hypotenuse} [/tex]
Here angle A is facing BC so it is perpendicular
and AB is the longest side so it is hypotenuse
[tex] \sf \implies \sin A = \frac{BC}{AB} \\ \\ \\ \sf \implies \sin A = \frac{9}{20} \\ \\ \\ \sf \implies \sin A = 0.45 \\ \\ \\ \sf \implies \sin A = \sin27{ \degree} \\ \\ \\ \sf \purple {A = 27{ \degree}}[/tex]
(b)
AC is the distance from the upper end of the ladder to ground
we will find it by Pythagoras theorem
[tex] \sf {hypotenuse}^{2} = {perpendicular}^{2} + {base}^{2} \\ \\ \\ \sf \implies {AB}^{2} = {BC}^{2} + {AC}^{2} \\ \\ \\ \sf \implies {20}^{2} = {9}^{2} + {AC}^{2} \\ \\ \\ \sf \implies 400 = 81 + {AC}^{2} \\ \\ \\ \sf \implies 400 - 81 = {AC}^{2} \\ \\ \\ \sf \implies 319 = {AC}^{2} \\ \\ \\ \sf \implies \sqrt{319} = AC \\ \\ \\ \sf \blue{\implies 17.86 = AC}[/tex]
Find the area.
14 in
6.8 in
Answer:
95.2Step-by-step explanation:
It nearly confused me, but I got the entire thing in my brain.
Given equation:
14 * 6.8Solve:
Transfer:6.8 ⇒ 68Solve:14 * 68= 952Transfer a decimal point to the right 1 space:952 → 95.2.Answer is 95.2.
> Next question
Find the last term to make the trinomial into perfect square
x2 – 2x
Answer:
+ 1.
Step-by-step explanation:
That would be (-2/2)^2
= + 1.
x2 - 2x + 1 = (x - 1)(x - 1)
[tex]\text{If a quadratic expression is a perfect square, then}\\\\~~~~~~~\text{Discriminant = 0}\\\\\implies b^2 -4ac = 0\\\\\implies (-2)^2 -4 c = 0\\\\\implies 4-4c = 0\\\\\implies 4c = 4\\\\\implies c = 1 \\\\\text{Hence, the last term should be 1.}\\\\x^2 -2x +1 = (x-1)^2[/tex]
Are the following ratios equivalent? 5 cookies: 8 glasses of milk and 7 cookies: 9 glasses of milk.
Answer:
no
Step-by-step explanation:
find the prime factorization of the following number 252?
Answer:
2,3,7 are the prime factorization of number of 252
Hi Student!
Prime factorization is the process of stripping down a number to it's basic elements. We take a number and bring it down the most we can. For example we take 4 and make it 2 x 2. In this case we are given a number of 252 so we can began by dividing by 2.
[tex]252 / 2[/tex]
[tex]126[/tex]
Looking at the numbers that we have now, 126 x 2, we can see that 126 can still be divisible by another 2 so lets do that again.
[tex]126 / 2[/tex]
[tex]63[/tex]
Now, looking at the numbers that we have, 63 x 2 x 2, we see that we can no longer divide it by a 2 because 63 is not divisible by 2. However, we can divide 3 away from the number so lets do that.
[tex]63 / 3[/tex]
[tex]21[/tex]
Once again, looking at the numbers that we have, 21 x 3 x 2 x 2, we see that we can once again divide a 3 away from our first number so lets do that again.
[tex]21 / 3[/tex]
[tex]7[/tex]
Finally, we have come down to the last line where our final elements are 7 x 3 x 3 x 2 x 2. This is our prime factorization of the number 252 and this is where we can conclude our solution seeking.
Will give brainiest for this question and my other question too!
BC=
4. Given the figure and DG = 23
D 2x-9 0
x + 3
G
X =
DO =
OG =
Answer:
x = 13
DO = 7
OG = 16
Step-by-step explanation:
If the sum of the entire figure is DO + OG = 23, then we can create the equation:
(2x-19)+(x+3)=23
From this equation, we can identify that x = 13.
We can use this information to find your final answers of...
x = 13
DO = 7
OG = 16
Find the sum of the whole numbers from 1 to 570
Answer:
162,735
Step-by-step explanation:
570(570 + 1)/2 = 162,735
8n^5 – 4n^2 – 2
Leading term:
Leading coefficient:
Constant term:
Answer:
Leading term: 8n⁵
Leading coefficient : 8
Constant: -2
Step-by-step explanation:
Leading term is the term with highest degree.
Here the highest degree is 5. so 8n⁵ is the leading term
Leading coefficient is the coefficient of the leading term.
Constant is the term without any variable.
solve quadratic 2x^2 -7 +6 =0
Answer:
Assuming you meant 2x^2-7x+6=0,
the answer is x=2, x=1.5
Use the quadratic formula. (-b (+ or -) sqrt(b^2 - 4ac) )/ (2a)
These questions kinda hard help
Answer:
Step-by-step explanation:
Remark
All of the given listed figures have the property of 4 sides and 4 angles. There is also some relationship between the angles or pairs of angles. Only the square follows the same path. The others cannot be chosen because the sides differ and the angle properties are quite different.
Answer: Square
How much would you
have to
deposit today to have an
accumulated amount of
$20,000 in 20 years
if yearly
interest is 4.75% compounded
continuously?
Find the missing side of the right
triangle if one leg is 6 ft and the
hypotenuse is 8 ft.
A. 28 ft
B. √2 ft
C. 10 ft
D. 2√7 ft
E. 2 ft
Answer:
it's D
Step-by-step explanation:
squrt(8^2-6^2)
use Pythago law
A. Reflect across the x-axis, then shift 10 units up
B. Reflect across the x-axis, then shift 4 units up
OC. Reflect across the x-axis, then shift 6 units up
n Deflect across the wavie then chift & unite un
← PREVIOUS
Answer:
b. reflects across the x-axid then shift 4 units up
Step-by-step explanation:
(5,3)
Solve for the value of n.
(9n+2)
34°
Answer:
I think its 306n+68
17. Evaluate and Synthesize
Tobacco smoking is extremely expensive to our society in economic and health costs as well as in human suffering. How would you solve the tobacco smoking problem? How would you specifically target young people?
Answer:
I would ban smoking in your county or ild advertise and ill make jobs to get people to help smokers so than they stop smoking and quit.
Work out the bearing of C from A.
45°
65°
(Look at the picture) please help me
Answer:
110°
Step-by-step explanation:
if we're looking for the bearing of C from A, the angle should be formed at A
then, starting from the north poles, move in a clockwise direction till you meet the line coming from C . then, sum up the angles involved.
which is = 45°+ 65° = 110°
therefore, the bearing of C from A is 110°
Please help I am struggling really bad thank you so much
Answer:
1) A
2) A
3) C
Step-by-step explanation:
Answer: B, A, A
Step-by-step explanation:
I'm not 100% sure this is the answer sorry if I'm wrong
The price of a tv was decreased by 20% to £1440. What was the price before the decrease?
Answer:
€ 1800
Step-by-step explanation:
x - 20% of x = 1440
x - 20x/100 = 1440
x - x/5 = 1440
(5x - x)/5 = 1440
4x/5 = 1440
therefore x = 1440 × 5/4 [ transpose 4/5 to right hand side ]
x = 360 × 5
= € 1800
need to paint an entire cylindrical tank (all sides) it is 29ft long and 9ft diameter find the total surface area.
if your 14 and you have a kid at 21 how old will your kid be when your 30
Answer:
Your kid will be 9 years old.
Step-by-step explanation:
It's not relevant, that you are 14 now.
Answer: 9
Step-by-step explanation: Regardless of if you are 14 or not, 30-21=9
Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week. Fourteen people answered that they generally sell two cars; nineteen generally sell three cars; twelve generally sell four cars; nine generally sell five cars; eleven generally sell six cars. Calculate the following. (Round your answer to two decimal places.)
sample mean = x
If Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week. Then the mean of the sample is 3.75.
What is Mean?The average of a group of numbers is simply defined as the mean. In statistics, the mean is regarded as one of the indicators of central tendency.
Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week.
Fourteen people answered that they generally sell two cars; nineteen generally sell three cars; twelve generally sell four cars; nine generally sell five cars; eleven generally sell six cars.
Then the mean of the sample will be
[tex]\rm Mean = \dfrac{1}{N} \times \Sigma _{i} \ \ x_if_i[/tex]
Then the table is given below.
Then we have
[tex]\rm Mean = \dfrac{1}{65} \times (244)\\\\\\Mean = 3.7538\\\\Mean \approx 3.75[/tex]
More about the mean link is given below.
https://brainly.com/question/521501
#SPJ1
A price of a tablet is cut by 30% and the new cost is $210. How much did the tablet cost before the price was cut
Answer:
$273
Reason:
I believe this is right
HELP PLEASE 100 POINTS!!!!
Given JAM and segment PB such that PB JM, what is the missing justification in the proof that JP/PA = MB/BA
Answer: AA similarity posulate
Step-by-step explanation:
In ΔAJM and ΔAPB,
∠PAB = ∠JAM,
Also, since PB || JM, the corresponding angles formed by these two parallel lines with the line AJ are equal i.e.
∠AJM = ∠APB
So, using the AA similarity postulate, we can say that ΔAJM is similar to ΔAPB
You need to spend at least $50 in one day to receive a store discount. You have already spent $30. Let s be the amount of money (in dollars) you can now spend to qualify
for the discount. Which inequality and solution represent this situation?
s+30<50; 8 < 20
s+30 ≤ 50; s ≤ 20
s+30> 50; 8 > 20
s+ 30 ≥ 50; 8 ≥ 20
Answer: s + 30 ≥ 50; s ≥ 20
Step-by-step explanation:
let s be the amount you have yet to spend in order to reach $50 or more
you already have $30.
This means you need to spend at least $20 more ($50 - $30 = $20)
S can be greater than or equal to $20 because your total will be 50 or more, therefore qualifying for the discount.
f(x)=3x=2 what is f(5)?
Answer:
F(x) = 3x × 2
F(5) = 3(5) × 2
F(5) = ( 3 × 5 ) × 2
F(5) = 15 × 2
F(5) = 30
F(x) = 3x x 2
F(5)= 3(5) × 2
F(5) = 15 × 2
F(5) = 30
Answer by NinaHelp me, please.. +50 points (and brainliest if someone else answers)
Given phrase - 66 less than twice Greg's age
In the given phrase, "twice" means "double", which means "2 times".
⇒ 66 less than 2(Greg's age)In the given phrase, "less than" means "subtraction in reverse form".
⇒ 66 - 2(Greg's age)Reversing the expression, we get:
⇒ 2(Greg's age) - 66The question has stated that "Greg's age" will be represented as "g". Let's substitute "Greg's age" as "g". Then,
⇒ 2(Greg's age) - 66⇒ 2(g) - 66 = 2g - 66Therefore, the expression that represents the phrase is 2g - 66.
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Learn more: https://brainly.com/question/27792034
A 5-pound bag of candy costs $13.05. What is the unit price?
Answer:
1.85 because: 9.25 divided by 5 equals 1.85
I hope I have helped you and if you like go to my profile that I also need a hand, thanks.
What equation describes the graph?
Answer:
C. y = 3x -2
Step-by-step explanation:
y = mx + b
start with b, the y-intercept, which is -2.
Next find m, the slope. From -2 on the y-axis you are going to find the slope by doing rise/run. You will rise 3 units and run 1 unit to get to the next point on the line.
The equation is y = 3x -2
Y=3x+2
X
-2
-1
0
1
2
Answer:
x y ordered pair
-2 3(-2) + 2 = -4 (-2, -4)
-1 3(-1) + 2 = -1 (-1, -1)
0 3(0) + 2 = 2 (0, 2)
1 3(1) + 2 = 5 (1, 5)
2 3(2) + 2 = 8 (2, 8)
