We need to find the nature of the roots of the quadratic equation 2x² - 6x + 7 = 0 , and need to find the Discriminant
Now ,as we know that the Discriminant of any quadratic equation of the form ax² + bx + c = 0 , is D = b² - 4ac
So now ;
[tex]{:\implies \quad \sf D=(-6)^{2}-4\times 2\times 7}[/tex]
[tex]{:\implies \quad \sf D=36-56}[/tex]
[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{Discriminant=-20}}}[/tex]
Now , as D < 0 ,So nature of roots will be imaginary
The there angles in a triangle ge in the ratio
of 2.4.6. Find the measure of
and hence state the type of triangle.
of each angle
Answer:
Step-by-step explanation:
9. Find the area of the figure.
What is the answer
Answer:
73.12 in.²
Step-by-step explanation:
The entire area is made up of a semicircle and a rectangle. We find both areas and add them.
total area = area of semicircle + area of rectangle
total area = (1/2)πr² + length × width
total area = 1/2 × 3.14 × 4 in. × 4 in. + 8 in. × 6 in.
total area = 73.12 in.²
There are 16 girls in the
class. This represents 20%
of the class. How many
total students are there
Answer:
80 total students
Step-by-step explanation:
hope this helps!
Answer:
80
Step-by-step explanation:
If 16 is %20 then it represents 1/5 of the class. Multiply 16 x 5 = 80
What type of triangle is a 30, 40, 50
Answer:
Pythagoras's Theorem states that the square of the length of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the lengths of the other two sides. Actually a 30 , 40 , 50 triangle is just a scaled up 3 , 4 , 5 triangle, which is a well known right angled triangle
Step-by-step explanation:
please mark me as brainlist please
Find the area of the missing square off of leg a if the area of one square is 369 and the area of another is 81.
A - 19.2
B - 144
C- 12
D- 288
Solution:
Note that:
Area of square = s² (s = Side length)Finding the leg of a square with area of 369 units²
c² = 369=> c = √369 unitsFinding the leg of a square with area of 81 units²
b² = 81=> b = √81 = 9 unitsFinding side length a using Pythagoras theorem
(√369)² = 9² + a²=> 369 = 81 + a²=> 369 - 81 = a²=> 288 = a²=> a = √288 = √144 x 2 = √12 x 12 x 2 = 12√2 unitsFinding the missing area of the square.
Area of square = a²=> Area of square = a² = (a)²=> Area of square = (12√2)²=> Area of square = (12√2)(12√2) = 288 units²Option D is correct.
Find the hypotenuse round to the nearest hundredth
Answer:
8.94
Step-by-step explanation:
hypotenuse=h
h=4^2+8^2
h=16+64
h=80
h=√80
h=8.94
Answer:
Step-by-step explanation:
[tex]hypotenuse=\sqrt{4^2+8^2} =\sqrt{16+64} =\sqrt{80}\approx 8.94[/tex]
Please find α/beta. EXPLAIN all the steps and use a trigonometric function.(give the value, explain and show all steps with a sentence for brainiest) ty
Answer: I don't know
Step-by-step explanation: Use the fact that 180° is equivalent to \pi radians as a conversion factor: 1=\frac{\pi \, \text{rad}}{180^{\circ}}=\frac{180^{\circ}}{\pi \, \text{rad}}.
225^{\circ}=225^{\circ}·\frac{\pi }{180^{\circ}}=\frac{5\pi }{4} rad
\frac{5\pi }{3} rad = \frac{5\pi }{3}·\frac{180^{\circ}}{\pi }=300^{\circ}
I know this is probably not right sorry if I wasted your time cause my friend told me this.
45:60 as its simplest form
Answer :
3/4.
Explanation
Find the GCD (or HCF) of numerator and denominator
GCD of 45 and 60 is 15
Divide both the numerator and denominator by the GCD
45 ÷ 15
60 ÷ 15
Reduced fraction: 3/4
Therefore, 45/60 simplified to lowest terms is 3/4.
Hi! I hope you are enjoying your day!
In order to simplify this ratio (and 45:60 is a ratio), we should divide both sides of the ratio by 5 (because both 45 and 60 are evenly divisible by 5)
Divide:
9:12
Is the ratio in its simplest form? No.
Why?
Because 9 and 12 can be divided by 3:
3:4
Now the ratio IS in its simplest form.
Hence, the answer is
[tex]\boxed{\boxed{\bold{3:4}}}[/tex]
Hope everything is clear.
If you have any questions, please comment.
#LearningIsFun
If you are researcher how would you make sure that the result or outcome of your study will be accurate and precise?
Answer:
Keep all variables (temperature, place, lighting, etc.) constant other than the variable being tested.
Do the test multiple times. The variations must be small.
keep everything calibrated (marked)
record measurement correctly with the correct units
Step-by-step explanation:
A square has a side length of 6 inches. Which of the following is the length of its diagonal in inches?
(1.) 12
(2.) 6/3
(3.) 20
(4.) 10/2
Answer:
8.49inches(incorrect options)
Step-by-step explanation:
the diagonal in a square divided the square into 2 and equal right- angled triangles.
to find the length of the diagonal of the square pick one of the triangles and find the length using pythagoras theorem.
having sketch a diagram. the length of the diagonal becomes the hypotenuse and the the two sides of the square becomes the opposite and adjacent side.
hyp²=opp²+adj²
L²=6²+6²
L²=72
L=8.49inches
2 ( 3x + 2 ) = 2x + 28
Answer: x = 6
Step-by-step explanation:
1. Distribute
2. Subtract 4 from both sides of the equation
3. Simplify
4. Subtract 2x from both sides of the equation
5. Simplify
6. Divide both sides of the equation by the same term
7. Simplify
Hello, the answer would be X = 6
Need help on this question ASAP pleasee and thank you (:
Which line has a slope of -3?
y= 4x + 3
y= 3x - 3
y=-3x+1
y=-2x - 3
Answer:
y= 4x + 3
Step-by-step explanation:
mark me brainliest!
WHAT IS THE ANSWER OF 3/4=6
Answer: The answer to this is "False"
A triangle has two angles namely 130 degrees and 10 degrees. What is the number of degrees of the third angle?
Step-by-step explanation:
10+130+x=180
140+x=180
x=40
Find the zeros of the function f (x) = 4x^2-16
Answer:
x=-2
x=2
Step-by-step explanation:
We can think of this equation like a statement
"4 times what squared minus sixteen is equal to zero"
First, we need to rearrange the equation:
[tex]4x^2=16[/tex]
Now using our common knowledge, we know that 4 times 4 is equal to 16
now we have another statement:
"x times x is going to be equal to 4"
*Remember that the two numbers have to be the same since x is squared*
Again, we can use common knowledge and say that 2x2 is equal to 4
This means that x=2
Now when you square a variable, the variable can have to values, a positive, and a negative value
So in this case, the other value for x would be x=-2 since -2 squared is also equal to 4
So we can come to a conclusion that
x=2
AND
x=-2
Which terms could have a greatest common factor of 5m2n2?.
Answer:
a common factor would be 5m^4n^3 or 15m^2n^2
Step-by-step explanation:
not sure what terms they want you to choose from but anything that starts with a number (5,10,15,) and "m" would any number 5 would go into
- 1/3(6x+18)=10
Help me find the answer before 7:40
Answer:
x = -8
Step-by-step explanation:
[tex]-\frac{1}{3}\left(6x+18\right)=10[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}-3[/tex]
[tex]\left(-\frac{1}{3}\left(6x+18\right)\right)\left(-3\right)=10\left(-3\right)[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]6x+18=-30[/tex]
[tex]\mathrm{Subtract\:}18\mathrm{\:from\:both\:sides}[/tex]
[tex]6x+18-18=-30-18[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]6x=-48[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}6[/tex]
[tex]\frac{6x}{6}=\frac{-48}{6}[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]x=-8[/tex]
~Learn with Lenvy~
Write a function for the line shown
what is 1/10 + 1/3 and simplify it
Answer:
[tex] \frac{13}{30} [/tex]
Step-by-step explanation:
Reduce the fractions to having a common denominator (find the L.C.M. of 10 and 3).
[tex] \frac{1}{10} + \frac{1}{3} [/tex]
[tex] = \frac{1 \times 3}{10 \times3} + \frac{1 \times 10}{3 \times 10} [/tex]
[tex] = \frac{3}{30} + \frac{10}{30} [/tex]
[tex] = \frac{13}{30} [/tex]
Characteristics of Polynomials
What is the perimeter of a triangle with vertices at (2, 3) (4, -1) and (-1, -5)?
Answer:
Step-by-step explanation:
1 gram of sugar costs 5400
how much would 1 ton cost?
Answer:
5400000000
Step-by-step explanation:
1gram=5400
1kg=5400*1000 (1kg=1000gm)
=5400000
1quntal=5400000*100 (1quntal=100kg)
=540000000
1ton=540000000*10 (1ton=10 quntal)
=5400000000
Based on past musical productions, a theater predicts selling 400−8p number of tickets when each ticket is sold at p dollars. Using the table from the last question answer the following questions:
1. For which ticket prices will the theater earn no revenue? Explain how you know.
2. At what ticket prices should the theater sell the tickets if it must earn at least $3,200 in revenue to break even (to not lose money) on the musical production? Explain how you know.
To earn at least $3,200 in revenue, the ticket prices should be $10 or $40.
What is an EquationAn equation is an expression that shows the relationship between two or more variables and numbers.
Revenue = number of tickets sold * price per ticket = (400 - 8p)p
Revenue = 400p - 8p²
For no revenue:
400p - 64p² = 0
p = $0 or p = $50
For revenue of atleast 3200:
400p - 8p² = 3200
p = $10 or p = $40
To earn at least $3,200 in revenue, the ticket prices should be $10 or $40.
Find out more on Equation at: https://brainly.com/question/1214333
When the three integers 400, 366, and 213 are divided by a positive integer d > 1, the remainders are the same. What is the least possible value of d
The number d is not a divisor of the integers 400, 366 and 213
The least possible value of d is 17
How to determine the least possible value of dThe numbers are given as:
400, 366 and 213
The divisor is given as: d
Where d > 1
To determine the least possible value of d, we make use of the following Python program, where comments are used to explain each action.
#This iterates from 2 to the smallest number of the three divisors
for d in range(2,213):
#This checks for the common remainder
if(400%d == 366%d) and (400%d == 213%d):
#This prints the value of d, when the smallest remainder of all three integers is determined
print(d)
At the end of the program, the output is 17
Hence, the least possible value of d is 17
Read more about remainders at:
https://brainly.com/question/25289437
Type an equation for the line
shown in the graph.
(-2,3).
(2.5)
Answer:
y= 1/2x + 4
Step-by-step explanation:
the slope is one half and the y intercept is 4.
please give brainliest!!
2. Which of the following is the correct value of ? Show your reasoning.
Answer:
b
Step-by-step explanation:
0.22x4
= 0.22+0.22+0.22+0.22
=0.88
Or
0.22*100=22
22*4=88
88:100=0.88
Ben gets 14/20 in his Geography test. What percentage is this?
Answer:
70%
Step-by-step explanation:
Answer:
14/20 × 100=70% Hope this helps
What’s this answer?
Answer:
175/24
Step-by-step explanation:
First change mixed fraction to improper fraction.
1¾= (1×4+3)/4
= 7/4
4⅙= (4×6+1)/6
= 25/6
now multiply the nominators (numbers on the top) and then the denominators (numbers on the bottom)
I.e
7/4 × 25/6
= 7×25/4×6
= 175/24
it cannot be further simplified so 175/24 is the answer.
Find the measure of arc RPQ.
Answer: 227 degrees
Step-by-step explanation: