Answer:
[tex]\huge\boxed{\sf Option \ B}[/tex]
Step-by-step explanation:
Step 3:[tex]\displaystyle x^2+\frac{bx}{a} =\frac{-c}{a}[/tex] --------------------(1)
The next step will be:to find the b² for the expression on the left.How to find b²:Take the expression
[tex]\displaystyle x^2 + \frac{bx}{a}[/tex]
We can also write it as:
[tex]\displaystyle (x)^2 + 2(x)(\frac{b}{2a} )[/tex]
According to the formula [tex]a^2+2ab+b^2[/tex], the b of this expression is [tex]\displaystyle \frac{b}{2a}[/tex]. So,
b² will be:
[tex]\displaystyle =(\frac{b}{2a} )^2\\\\=\frac{b^2}{4a^2}[/tex]
So, we will add [tex]\displaystyle \frac{b^2}{4a^2}[/tex] to both sides in Eq. (1)
For STEP 4, the equation will become:
[tex]\displaystyle x^2+\frac{bx}{a} + \frac{b^2}{4a^2} = \frac{-c}{a} + \frac{b^2}{4a^2}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Answer:
Below in bold.
Step-by-step explanation:
The next step is to divide b/a by 2 then square it and add to both sides.
This creates a perfect square quadratic on left side.
So the answer is :
x squared plus b over a times x plus quantity b over 2 times a all squared equals negative c over a plus quantity b over 2 times a all squared
This graph shows how the total distance Jack has walked depends on the number of trips he has made to school.
ASAP BEFORE 11:59
Answer:
whats the question
Step-by-step explanation:
thats the answer
In triangle KLM, the measure of angle M is 90 degrees, the measure of angle K is 75 degrees, and LM is equal to 6.3 feet. Find the length of KL to the nearest tenth of a foot.
Answer:
6.5feet
Step-by-step explanation:
Using the SOH CAH TOA identity
<K = 75 degrees
opposite = LM = 6.3 feet
Hypotenuse = KL
sin theta = opp/hyp
sin 75 = 6.3/x
x = 6.3/sin75
x = 6.3/0.9659
x = 6.5feet
Hence the length of KL to the nearest tenth of a foot is 6.5feet
Hi i need some help on this it will really help
Answer:
He can afford 5 large cheese pizzas.
Step-by-step explanation:
$40 ÷ $7.50 = 5.333333
You cannot buy 1/3 of a pizza, so you round the number to a whole number.
5.333333 ----> 5
5 large cheese pizzas
Answer:
Diego can afford 5 large cheese pizzas.
Step-by-step explanation:
$40 ÷ $7.50 = 5.3333
He cannot buy part of a pizza, so you round it to 5.
In Fluorescent higher secondary school there are 53 students in class 8. If number of boys is 3 morethan that of number of girls find.
a. Equation representing the number os students.
b. The number of Boys and Girls.
Answer:
a. 3g + g = 53
b. 40 boys and 13 girls
Step-by-step Explanation:
(3g = number of boys)
(g = number of girls)
3g + g =53
4g = 53
g = 13.2
53 - 13.2 = 39.8 (boys)
we round to the nearest tenth on both
girls 13.2---13
boys 39.8---40
what is the standard form of (-2/3)x - 4
( slope intercept )
Answer:
m=0,b for -2/3 x-4
Step-by-step explanation:
..........
numero de horas que duerme cual es la variable cualitativa?
Answer:
El número de horas que una persona duerme todos los días, durante un mes, es una variable continua ordinal
Step-by-step explanation:
HELP AND WILL GIVE BRAINLIEST!!! Solve for x
Answer:
let the opposite angle of 43=y
57°+43°+y=180°[by sum of all angle is 180°]
100+y=180°
y=180°-100
y=80°
opposite angle of x is equal to the 80°
so the equation will be like this
x+x+80°=180°
2x+80°=180°
2x=180°-80°
2x=100
x=100/2
x=50°
so the value of x is 50°
Which of the linear solution has no solution?
Answer:
c
Step-by-step explanation:
it will eventually cancel
The population P for a small island was 6 380 correct to the nearest 10. Complete the statement about the limits of P
Answer:
sorry I dont know
Step-by-step explanation:
I do not know
Julie's brother says that instead of paying her the $40 he owes her, he will give her
$2 today and double the amount she has each day for 6 days. Should Julie accept
her brother's offer? Why or why not?
Answer:
Yes
2*2*2*2*2*2=64
so that is a much better deal than the original 40$
Step-by-step explanation:
please help me with this
Answer: A. 2[tex]\sqrt[3]{6}[/tex]
Step-by-step explanation:
If a model of a dinosaur is 3.75 feet and the scale factor for the actual dinosaur is 1:24. What is the size, in feet, of the actual dinosaur?
Answer: 120
Step-by-step explanation:
Next, write ratios to represent the unknown actual length and width of the display to the scale length and width of the display.
LengthWidth=scaleactual=4l=scaleactual=8w
Then, write two proportions by setting the two length ratios equal to one another and the two width ratios equal to one another. The given unit is feet.
LengthWidth=4l=1160=8w=1160
Next, cross multiply each equation.
LLWW=4×160=640 feet=8×160=120 feet
Then, to find the area of the display, multiply length times width.
The actual size of the dinosaur is 90 feet.
What is a scale factor?The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller).
Given:
A model of a dinosaur is 3.75 feet,
and the scale-factor for the actual dinosaur is 1:24.
So,
the size of the actual dinosaur = model size x the scale-factor
The size of the actual dinosaur = 24 x 3.75
The size of the actual dinosaur = 90 feet.
Therefore, the actual size is 90 feet.
To learn more about the scale factor;
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please help me out please
Answer:
Distance formula = √(x2 - x1)^2 + (y2 - y1)^2
Step-by-step explanation:
(-2, 6) to (3, -2)
3 + 2 = 5^2 = 25 + 64 = 89.
√89
Un reloj marca las 4:55 horas . Que valor tiene el ángulo que forman las manecillas? Escribe tu resultado considerando el ángulo positivo y el ángulo negativo.
Answer: what does this say please help
Step-by-step explanation:
List the first five prime numbers
Answer:
2,3,5,7,11
Step-by-step explanation:
see above for the first five prime numbers
Answer:
2, 3, 5, 7, 11
hope this helps
have a good day :)
Step-by-step explanation:
Help me out
Length = m
[tex]perimeter = a + b + c[/tex]
[tex]perimeter = 4 + 3 + c[/tex]
//
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
[tex] {4}^{2} + {3}^{2} = {25}^{2} [/tex]
[tex] \sqrt{25} = 5[/tex]
[tex]c = 5 \: meters[/tex]
//
[tex]perimeter = 4 + 3 + 5[/tex]
[tex]perimeter = 12 \: meters[/tex]
//
[tex]the \: length \: of \: the \: fencing \: is\: 12 \: meters[/tex]
plzz write with formula and explanation plzzzzzzzz
Given:
[tex]-\dfrac{33}{16}[/tex] should be divided by a number to get [tex]-\dfrac{11}{4}[/tex].
To find:
The unknown number.
Solution:
Let [tex]-\dfrac{33}{16}[/tex] should be divided by x to get [tex]-\dfrac{11}{4}[/tex].
[tex]\dfrac{-\dfrac{33}{16}}{x}=-\dfrac{11}{4}[/tex]
[tex]-\dfrac{33}{16}=-\dfrac{11}{4}x[/tex]
Multiply both sides by 16.
[tex]-33=-44x[/tex]
Divide both sides by -44.
[tex]\dfrac{-33}{-44}=x[/tex]
[tex]\dfrac{3}{4}=x[/tex]
Therefore, the unknown number is [tex]\dfrac{3}{4}[/tex].
4. (Claim 1 Example)
Bob uses a 20 foot ladder to paint a section of his house that is 16 feet high.
H
16 ft
Ladder
20 ft
0°
Х
Ground
Select all equations that can be used to solve for e.
12
12
sino =
cos 0 =
A.
20
B.
20
tan
C.
12
20
16
sin =
20
16
cos O =
20
tan
16
20
D.
E.
F.
Answer:
D
Step-by-step explanation:
using Sohcahtoa we know that we can only use Soh (since we have the opposite,16 and the hypotenuse, 20)
D is the only one that uses the correct equation of S = o/h
(this explanation isn't the best so please search up Sohcahtoa if it doesn't make sense)
Find the value of x.
I will give brainliest if you get it right!, please double check your work! Thannks!
Answer:
36 degrees
Step-by-step explanation:
There's 180 degrees in a triangle.
Since they're supplementary angles, we do 180-142=38.
We now know that 106+38+x=180.
Solve for x: x=36
Sean answered 18 of 20 quiz questions correctly. What percent of the quiz questions did sean awnser correctly?
A. 11%
B. 18%
C. 90%
D. 98%
Answer:
90%
Step-by-step explanation:
18/20 × 100 = 90%
I hope this helps!
Answer:
Sean answered 90% of the questions in the quiz correctly
oh whoopsie somebody answered already but oh well- 乁[ᓀ˵▾˵ᓂ]ㄏ
Please Help!! I will give Brainliest to the correct answer!!
Evaluate 12.3s +11.9t when s= 3 and t = 4
Thank you so much
Answer:
84.5
Step-by-step explanation:
12.3(3)+11.9(4)=84.5
Answer:
87.5
Step-by-step explanation:
12.3 x 3= 39.9=s
11.9 x 4= 47.6=t
47.6 + 39.9= 87.5
9. In a home economics class, 6 girls worked together and sewed a dress in 4 days. How long
would it have taken for 4 girls to make the same dress?
Answer:
6 days.
Step-by-step explanation:
Given that in a home economics class, 6 girls worked together and sewed a dress in 4 days, to determine how long it would have taken for 4 girls to make the same dress, the following calculation must be performed:
X / 6 = 4
X = 4 x 6
X = 24
24/4 = 6
Thus, the 4 girls will take 6 days to make the same dress that 6 girls made in 4 days.
Which inequality has a closed circle when it is graphed on a number line?
x greater-than 0.4
x greater-than negative 3
x less-than 4
x greater-than-or-equal-to 3
Answer:
Less than 4 I guess??
This part I have scribbled so I can answer
no x Ehud ihehiexbhhenxkjwbhxnwbxhuebxbuebxh
Answer:
D
Step-by-step explanation:
Help please
3 |X-4| +1 = 19
Please help me to solve the 7th part !
Answer:
i don't know
Step-by-step explanation:
sorry sorry sorry berry much
10/27=a/135
what is the answer for this equation?
Answer:
So we have this equation:
10/27 = a/135
What we can do is multiply both sides by 27 and 135:
10*135 = a * 27
1350 = 27a
a = 1350/27. = 50.
Can you guys help me!!!
Answer:
I guess its the 3rd one not sure
what is bigger 6/5 or 4/5?
Answer:
6/5 is bigger
Step-by-step explanation:
6/5 simplifies to 1 and 1/5 which is greater than just 4/5
Answer:
6/5, the numerator is the number that determins the amount that is an improper fraction actually, the proper way of writing it is 1 and 1/5 but both are acceptable. most teachers prefer it this was though.
Step-by-step explanation:
hope this helps
COMBINATION
Solve each problem using the appropriate permutation formula.
1.In how many ways can 3 boys and 6 girls sit in a row of 4 chairs?
2.In how many ways can 8 cars line up a car?
3.In how many ways can a group of 8 friends sit around a circular table?
plss help
Answer:
1) 3024 ways
2) 40320 ways
3) 5040 ways
Step-by-step explanation:
1) there are 3 boys and 6 girls. Thus, total number = 9 people.
There are four rows of chairs.
Thus, number of ways of being sitted is;
9P4 = 9!/(9 - 4)! = 3024 ways
2) number of ways = 8! = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 40320 ways
3) since circular arrangement, then number of ways is; (n - 1)!
Thus,answer is; (8 - 1)! = 5040 ways
A parking lot has the shape of a parallelogram. The length of two adjacent sides are 70 meters and 100 meters. The angle between them is 70°. What is the area of the parking lot?
The area of the parking lot is 4606 square meter.
What is parallelogram?
It is a special type of quadrilateral that has both the pairs of opposite sides parallel and equal.
What is the area of parallelogram?
The area of a parallelogram is the product of its base and height.
We have,
length of two adjacent sides are 70meters and 100meters.
And base of parallelogram is 70m. (length of parallelogram is its base)
Angle between the adjacent sides is 70 degrees.
Let, side AB and BC be the two adjacent sides whose lengths are 70m and 100m.And h be the height of the parallelogram.
For the height of the parallelogram
In ΔADE, we have
[tex]sin70=\frac{DE}{AD}[/tex] [tex](sinx=\frac{perpendicular}{hypotenuse})[/tex]
⇒ [tex]0.9397=\frac{h}{70}[/tex]
⇒ [tex]0.9397[/tex]×70[tex]=h[/tex]
⇒ h=65.8m
Formula to find the area of parallelogram:
Area= base× height
so, the area of parking lot=base × height
substitute the value of base and height of the parallelogram in the above formula.
Therefore,
[tex]Area=65.8[/tex]×[tex]70[/tex]
[tex]Area=4606m^{2}[/tex]
Hence, the area of the parking lot is 4606 square meter.
Learn more about area of parallelogram here:
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