A quadratic equation is represented by the form ax^2+ bx + c = 0
The values of a, b and c are 1, -3 and -5, respectively
How to determine the values of a, b and c?The solution is given as:
[tex]x = \frac{3 \pm \sqrt{29}}2[/tex]
The solution to a quadratic equation is represented as:
[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
By comparing [tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex] and [tex]x = \frac{3 \pm \sqrt{29}}2[/tex], we have:
-b = 3
So, b = -3
Also, we have:
2a = 2
So, a = 1
Also, we have:
b² - 4ac = 29
Substitute values for a and b
(-3)² - 4 * 1 * c = 29
This gives
9 - 4c = 29
Subtract 9 from both sides
-4c = 20
Divide by -4
c = -5
Hence, the values of a, b and c are 1, -3 and -5, respectively
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What is 9n=1(98-2n) equal to? Id really appreciate if you could answer both though
It is known that
the pair of values x = –3 and y =8 is a solution to the equation
5x +by =17. Find the value of the coefficient b.
[tex] \huge\boxed { \frak{Answer : }}[/tex]
Given :
[tex] \: \: \: [/tex]
[tex] \rm \large \: x = - 3 \: , \: y= 8[/tex][tex] \: \: \: [/tex]
We Have To Find The Value Of " b ".
[tex] \: \: \: [/tex]
[tex] \sf \large \: 5x + by = 17 \: \: \: \: \: -- eqn( 1 )[/tex][tex] \: \: [/tex]
Now , Put the given value of x & y in the above eqn ~.
[tex] \: \: [/tex]
[tex] \sf \large \: \: \: \: ⇝5x + by = 17[/tex]
[tex] \: \: [/tex]
[tex]\sf \large \: \: \: \: ⇝5( - 3) + b(8) = 17[/tex]
[tex] \: \: [/tex]
[tex]\sf \large \: \: \: \: ⇝ - 15 + 8b = 17[/tex]
[tex] \: \: [/tex]
[tex]\sf \large \: \: \: \: ⇝8b = 17 + 15[/tex]
[tex] \: \: [/tex]
[tex]\sf \large \: \: \: \: ⇝8b = 32[/tex]
[tex] \: \: [/tex]
[tex]\sf \large \: \: \: \: ⇝b = \cancel\frac{32}{8} [/tex]
[tex] \: \: [/tex]
[tex] \boxed{\sf \large \: \: \: \: \underline{ \: \: ⇝b = 4 \: \: \: \: }}[/tex]
[tex] \: \: [/tex]
Hope Helps!:)
The value of the coefficient b in the linear equation 5x +by =17 is -4
How to determine the equation solutions?The pair of values are given as:
(x,y) = (-3,-8)
The equation is given as:
5x +by =17
Substitute values for x and y in the equation
-5 * 3 - 8 * b =17
Evaluate the product
-15 - 8b =17
Add 15 to both sides
-8b = 32
Divide both sides by -8
b = -4
Hence, the value of the coefficient b is -4
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heath records the number of winners of three ring toss games. According to heaths experiments, what is the probability a player will win the game
The radius of a circle is 17 yards. What is the circle's circumference? Use 3.14 for .
Answer:
Circumference of circle is 106.76 yardsStep-by-step explanation:
Given that, radius of Circle is 17 yards. To find the circumference of the circle we will the formula of circumference of circle:
Circumference of circle = 2πr
2 × 3.14 × 17
6.28 × 17
106.76 yards
Hence,
Circumference of circle is 106.76 yards⠀
Step-by-step explanation :
⠀
As, it is given that, the radius of a circle is 17 yards and we are to find the circumference of the circle.
⠀
We know that,
[tex]{\longrightarrow {\qquad{\mathfrak {\pmb{ Circumference_{(circle)} = 2 \pi r }}}}}[/tex]
⠀
Here,
r is the radius of the circle.We'll take the value of π as 3.14⠀
Now, substituting the values :
⠀
[tex]{\longrightarrow {\qquad{\sf {{ Circumference_{(circle)} = 2 \times 3.14 \times 17 }}}}}[/tex]
⠀
[tex]{\longrightarrow {\qquad{\sf {{ Circumference_{(circle)} = 6.28 \times 17 }}}}}[/tex]
⠀
[tex]{\longrightarrow {\qquad{\mathfrak {\pmb{ Circumference_{(circle)} = 106.76}}}}}[/tex]
⠀
Therefore,
The circumference of the circle is 106.76 yardsIf P = (4,7), Find:
r 180° (P)
([?], [])
Answer: (-4,-7)
Step-by-step explanation:
Based on this equation, estimate the number of wins for a team that scores 222 goals per match.
Answer:
Based on this equation, we estimate a team that scores 222 goals per match to have 24.524. 524, point, 5 wins.
Suzie went to the carnival and spent $2.85 on a lemonade and $3.25 on a hot dog. How much money did Suzie spend in total? (3 points) a $6.10 b $6.50 c $6.85 d $7.10
Answer:
a) 6.10
Step-by-step explanation:
if you want to figure out the total number spent, then you simply add together the two amounts to get:
3.25+2.85=6.10
p.s. dont post such simple questions on brainly
Answer: a. $6.10
Step-by-step explanation:
2.85 + 3.25 = (2+3)+(.85+.25) = (5)+(1.10)=6.10
therefore, $6.10 is the right answer
Solve the picture for n
The two angles shown are vertical angles which men they equal each other:
9n = 8n + 8
Subtract 8n from both sides:
N = 8
->Solution
i) 9n = 8n+8 [ V.O.A. vertically opposite angles ]
or, 9n - 8n = 8
or, n = 8
therefore, value of n is 8
Now,
ii) 9n = 9 X n = 9 X 8 = 72 degrees
iii) 8n + 8 = 8 X 8 + 8 = 64 + 8 = 72 degrees
Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)
Answer:
169
Step-by-step explanation:
Answer:
13 :)
Step-by-step explanation:
Pythagorean theorem: a^2 + b^2 = c^2
Now lets solve!!
5^2 + 12^2 = c^2
25 + 144 = c^2
169 = c^2
Now we need to find the square root!!
[tex]\sqrt{169}[/tex] = 13
Have an amazing day!!!
Please rate and mark brainliest!!
Find the mean of the data set without the outlier.
Then, find the mean of the data set with the outlier.
Answer:
Without outlier: 9
With outlier: 8.2
Step-by-step explanation:
Outlier is the lonely point at 1 passenger.
Mean is the average
Without outlier:
one 7
two 8
two 9
four 10
=[7+(2*8)+(2*9)+(4*10)] / 9
= (7 + 16 + 18 + 40) / 9
= 81/9
9
With outlier:
one 1
one 7
two 8
two 9
four 10
=[1+7+(2*8)+(2*9)+(4*10)] / 10
= 82/10
=8.2
Answer:
Mean with outlier: 8.2
Mean without outlier: 9
Hope This Helps! :) Please Give Brainliest!
Do you understand this please give examples l really don’t understand.
Answer:
so to get primited you add the sides and since you are given the perrimited and one of the sides you are to figure out the outer side
so if the perrimiter its 38 and one side is 10 then the other side is 28 because 38-10 its 28
Step-by-step explanation:
42 ft.
30 ft
Both triangles are similar The area of the larger triangle is about 382 ft
Answer:
just awnsering for the points sorry man
Step-by-step explanation:
VOLUME WITH PRISMS! Aubrey decides to estimate the volume of a coffee cup by modeling it as a right cylinder. She measures its height as 8.3 cm and its circumference as 14.9 cm. Find the volume of the cup in cubic centimeters. Round your answer to the nearest tenth if necessary.
The volume of the cup whose height is 8.3 cm and radius is 2.37 cm in cubic centimeters, by rounding off nearest tenth is 146.4 [tex]cm^{3}[/tex].
Volume of cup by rounding off nearest tenth = 146.4 [tex]cm^{3}[/tex].
What is volume of Cylinder?
The volume V of a cylinder with radius r is the area of the base B times the height h .
V=Bh or V=π[tex]r^{2}[/tex]h
It is given that,
height= 8.3 cm
Circumference = 14.9 cm
By using the circumference we first find the radius of circular base or top,
Circumference of the circle = 2πr
14.9= 2 x 3.14 x r
14.9= 6.28 x r
r= [tex]\frac{14.9}{6.28}[/tex]
r= 2.37 cm
Hence, the radius of the circle is 2.37 cm.
Volume of cup( cylindrical shape ) = π[tex]r^{2}[/tex]h
= 3.14 x 2.37 x 2.37 x 8.3
= 26.062 x 5.616
= 146.364 [tex]cm^{3}[/tex]
= 146.4 [tex]cm^{3}[/tex] (nearest tenth)
The volume of the cup in cubic centimeters, by rounding off nearest tenth is 146.4 [tex]cm^{3}[/tex].
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Answer this please thank you
According to the line plot, how many tadpoles were measured?
10 tadpoles
3 tadpoles
4 tadpoles
9 tadpoles
Answer:
10 Tadpoles were mesured in the line plot
Answer:
10 tadpoles
Step-by-step explanation:
look at the diagram
count the x's
you get your answer
2x - 5 = 3 what does X equal to?
Please Help! I'll give a brainliest!
Tania is a car salesperson at Yorkshire Motors and earns straight commission on sales. She earns 15%commission on sales of vehicles, service contracts, and accessories. During her first year, Tania's sales totaled $454,000.00. How much money did Tania earn in her first year at the dealership?
Tania earned $_____ in commission the first year.
Answer:
$68100Step-by-step explanation:
Commission = 15% of sales amount
The amount Tania earned is:
$454000*15/100 = $68100Commission is 15% of earnings
Commission:-.
15% of 4540000.15(454000)68100$Can yall help me do this
Formula = 4/3 x pi x r^3
4/3 x 3.14 x 7^3 = 1436.03
answer: a. 1436.03 cubic units
Answer:
answer: a. 1436.03 cubic units
Step-by-step explanation:
I took a test
helppp ASAP *75 POINTS*
C = ( not given in the figure )
D = 8 cmarea of triangular prism:
( perimeter x length ) + base x height( 6 + 8 + 10 ) * 2 + 8 * 696 cm²Answer:
Step-by-step explanation:
A = 10 cm
B = 8 cm {base of the triangle}
C = 2 cm
D = 6 cm {height of the triangle}
Area of the triangular prism = (A + B + D)*C + base * height
= (10 + 8 + 6)*2 + 8*6
= 24*2 + 48
= 48 + 48
= 96 cm²
help pleaseee omggggggggg
Answer:
Only iris is correct in equation sq. z = 9/25
What type of triangle is defined by the following set of side lengths
11, 9 , 7
Question 4 options:
Acute
Obtuse
Right
Not a triangle
Answer:
it looks like a triangle but it is not it is called a Nonigon
Please help In triangle ABC, m∠A=47∘ and m∠B=70∘. What is the measure of angle C?
Answer: <C = 63°
Step-by-step explanation:
The interior angles in all triangles always equal 180°
47 + 70= 117
180 - 117 = 63°
<C = 63°
hope this helps :)
PLEASE HELP
The circumference of a circular rug is about 18.84 feet, and the diameter of
the rug is 6 feet
Which expression best represents the value of ni?
A.
18.84
6
B. 18.84
C.
3
18.84
D. 18.84
3
Answer:
A
Step-by-step explanation:
Answer:
A) 18.84 divided by 6 is the answer.
Step-by-step explanation:
pi is essentially any circles' circumference over its diameter. In this case, the rug's circumference is 18.84 and it's diameter is 6, therefore to find pi, you would do 18.84 divided by 6, which is answer A.
Hope this helps!
How much closer is it to travel from Aurora to Clifton directly than from Aurora to Clifton through Burlington?
Answer:
40m
Step-by-step explanation:
The total distance from Aurora to Clifton through Burlington is: 65 + 72 = 137
137 - 97 = 40
So it is 40 m closer to travel from Aurora to Clifton directly than from Aurora to Clifton through Burlington.
8, 14.5, 21, 27.5, 34, 40.5 What’s the next number in the sequence
Answer:
47
Step-by-step explanation:
Determine if the sequence is arithmetic or geometric.
The difference between each term in the sequence is constant, so this is an arithmetic sequence.
To calculate the common difference, subtract one term from the next term:
14.5 - 8 = 6.5
21 - 14.5 = 6.5
27. 5 - 21 = 6.5
34 - 27.5 = 6.5
40.5 - 34 = 6.5
So the common difference is 6.5
To find the next term in the sequence, add 6.5 to the last term given:
40.5 + 6.5 = 47
what is 7/5 as a simple thing?
What expression is equal to 6(2f + 2)
Answer:
[tex]\boxed{\sf{12f+12}}[/tex]Step-by-step explanation:
Use the distributive property.
Distributive property formula:
A(B+C)=AB+AC
6(2f + 2)
Multiply.
6*2f=12f
6*2=12
Rewrite the expression down.
12f+12
So, the final answer is 12f+12.I hope this helps! Let me know if you have any questions.
Answer:
12f + 12
Step-by-step explanation:
Step 1: Distribute
6(2f + 2)
(6 * 2f) + (6 * 2)
12f + 12
Answer: 12f + 12
A farmer is mapping out his acreage to
determine where to put up fencing for his
cattle. The length of his plot is 20 yards lõnger
than its width.
Write the function, f(w), that describes the
area, in square yards, of the land enclosed by
the fence.
Enter your answer in the space provided.
So
Area=Length×BreadthArea=x(x+20)Area=x^2+20xyd^2Enter the correct answer in the box. Write your answer in the form y = mx + b, using the appropriate inequality symbol in place of the equal sign.
What inequality is shown in the graph?
Answer:
y ≥ -x - 4
Step-by-step explanation:
[tex]\sf let (x_1,y_1)=(-4,0)\\\\let (x_2,y_2)=(0,-4)[/tex]
[tex]\sf slope \ (m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-4-0}{0-(-4)}=-1[/tex]
Slope-point form of linear equation:
[tex]\sf \implies y-y_1=m(x-x_1)[/tex]
[tex]\sf \implies y-0=-1(x-(-4))[/tex]
[tex]\sf \implies y=-x-4[/tex]
For ≤ or ≥ graph a solid line
For < or > graph a dashed line
For shading above the line: y ≥ or y >
For shading below the line: y ≤ or y <
Therefore, as the line is solid and shading is above the line:
[tex]\sf y\geq -x-4[/tex]
Answer: y ≥ -x - 4
Step-by-step explanation:
The product of a number and 8 is equal to the sum of the number and 13 .
Answer:
n*8 = n+13
Step-by-step explanation:
To find the equation, we must first disect the sentence. A product of a number and 8. This means a number times 8. A number n times 8. n*8. Next, is equal to. This means add an equal to sign after n*8. n*8 = . The sum of the number (n) and 13. This means n+13. So, put it all together:
n*8 = n+13
