The number of real solutions is 0, the correct answer is A.
How to use discriminant to find the property of solutions of given quadratic equation?Let the quadratic equation given be of the form ax^2 + bx + c = 0, then
The quantity b^2 - 4ac is called its discriminant.
The solution contains the term [tex]\sqrt{b^2 - 4ac}[/tex] which will be:
Real and distinct if the discriminant is positive
Real and equal if the discriminant is 0
Non-real and distinct roots if the discriminant is negative
There are two roots of a quadratic equations always(assuming existence of complex numbers). We say that the considered quadratic equation has 2 solution if roots are distinct, and have 1 solutions when both roots are same.
We are given that;
The equation -2x^2+x-28= 0
Now,
The discriminant of a quadratic equation ax^2 + bx + c = 0 is given by b^2 - 4ac. The discriminant can be used to determine the number of real solutions of the equation as follows:
If the discriminant is positive, there are two distinct real solutions.
If the discriminant is zero, there is one repeated real solution.
If the discriminant is negative, there are no real solutions.
In this case, the quadratic equation is -2x^2 + x - 28 = 0. Comparing it with the standard form, we can identify that a = -2, b = 1, and c = -28. Therefore, the discriminant is:
b^2 - 4ac
= 1^2 - 4(-2)(-28)
= 1 - 224
= -223
Since, the discriminant is negative, there are no real solutions for this equation.
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(ii) Explain why a+b+c= 235°
This is a cornet maths question. How do I solve it
Answer:
Where is the image?
Step-by-step explanation:
Tell me in comments
The equation a + b + c = 235 is true because a = c = 55° and b = 125°
How to prove that a + b + c = 235?The angle a and 125° are on the same straight line.
So, we have:
a + 125° = 180°
Subtract 125 from both sides
a = 55°
The angle b and 125° are vertical angles
So, we have:
b = 125°
The angle a and angle a are vertical angles
So, we have:
c = a
This gives
c = 55°
Add the three angles
a + b + c = 55° + 125° + 55°
Evaluate the sum
a + b + c = 235°
Hence, it is true that a + b + c = 235°
Read more about vertical angles at:
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36.05 rounded off to the nearest tens place
Answer:
36.1
Step-by-step explanation:
if the 100s place is 5 or above add 1 to the tens place. if it's 5 or below the tens will stay the same.
In a class of 25 students; 15 students like Mathematics, 6 like English and 4
like Spanish. Express as a fraction in its simplest form the students who like
Mathematics.
Help plz
Answer:
3/5
Step-by-step explanation:
we got 15 students who like math in 25 student
the fraction is 15 over 25 , 15/25 , when you simplify by 5 the simplest form gonna be 3 over 5, 3/5Suzy is 2997972000 seconds old. How many years old is she?
Answer:
95.06506849315
Step-by-step explanation:
Basically 95 years old which is very old Pls brainliest Thx! :D
Answer:
lets see according to my cackulations.... suzie would be, 6.....she would be six feet under the ground. dead. deceaced.gone.
Step-by-step explanation:
If the room is a 14 by 12' rectangle then the strip of wallpaper needs to be at least how long?
Answer:
52 ft.
Step-by-step explanation:
In this case, we need to calculate a perimeter, which is the sum of all sides of the rectangle.
So, rectangles has opposite sides equal, therefore, the perimeter should be:
; having L as the larger side.
Hence, the strip of wallpaper needs to be as least 52 ft.
what is 20/25 as a percent
Answer:
80%
Step-by-step explanation:
please if you can i urgently need help thank you very much
Answer:
alright so basically solve and find each value out of exponent so it would be 16-8 over 32-16 which is 8/16 which simplifies to 1/2 which is ur answer
Answer:
4
you just add the powers when it's multiplication and same digit and minus them when they are divided but they have to be the same digit
2 power 4+3 =7 / 2 power 5+4=9
2 power 9-7=2
2 power 2 =4
Evaluate 1/4x+ 1/20 when x =1/5
Answer:
1/10
0.1
Step-by-step explanation:
----
an
- 11 + 5(n-1)
Answer:
-3.2
Step-by-step explanation:
he ratio of the interior angle measures of a triangle is 2:3:5. What are the angle measures?In order from the smallest angle to the largest angle, the angle measures are°,°, and°.
Answer:
Step-by-step explanation:
Ratio of angles = 2 : 3 :5
Angles are 2x , 3x , 5x
Sum of all angles of triangle = 180
2x +3x + 5x = 180
10x = 180
x = 180/10
x = 18
2x = 2*18 = 36
3x = 3*18 = 54
5x = 5*18 = 90
Smallest to largest
36 , 54 , 90
Answer:
36°, 54°, and 90°
Step-by-step explanation:
The sum of interior angles of a triangle = 180
Remember: The sum of the interior angles = (number of sides - 2)(180)
2:3:5 means 2x:3x: 5x
2x + 3x + 5x = 180
10x = 180
x = 18
The angles are 2(18) = 36°
3(18) = 54°
518) = 90°
Can someone help me please ?
Answer:
-4[tex]y^{5}[/tex]
Step-by-step explanation:
-8[tex]y^{10}[/tex]/2[tex]y^{5}[/tex] = -8/2 * [tex]y^{10 - 5}[/tex]
= -4[tex]y^{5}[/tex]
it won't let me answer all the word's all i can give is: 8/2 = -8/2 *
= -4
Foundation Geometry
A. 57*
B. 90*
C.33*
D.67*
Answer:
B or D
Step-by-step explanation:
I believe the answer is B or D if it is not im am very sorry i forgot
Directions for (1-5): Plot the following on a number line
0.75
1.5
-2 ¾
-3 ⅕
6.8
Answer:
|---|--------|---------|------|---------|-|
-2 ¾ -3 ⅕ 0.75 1.5 6.8
(This is a rough answer, it mainly just shows the order).
Step-by-step explanation:
1. -2 ¾
2. -3 ⅕
3. 0.75
4. 1.5
5. 6.8
15
2) The bakers at Healthy Bakery can make 220 bagels in 2 hours. How many
bagels can they bake in 19 hours? What was that rate per hour?
???
2090
Step-by-step explanation:
220 divided by 2 hours is 110 per hour
19 times 110 equals 2090
Find x and y please!! I’m desperate!!!
Answer:
x = 4
y = 2
Step-by-step explanation:
the third angle of the triangle
180 - (148 + 18) = 14º
Therefor
3x + y = 14
5x - y = 18
Add the equations
8x = 32
Divide both sides by 8
x = 4
Plug in x = 4
3(4) + y = 14
12 + y = 14
y = 2
9514 1404 393
Answer:
(x, y) = (4, 2)
Step-by-step explanation:
The triangles are similar by AA similarity, so the corresponding angles are congruent.
5x -y = 18 . . . . . . unmarked angles are congruent
18 +(3x+y) +148 = 180 . . . . . sum of angles in a triangle is 180°
__
After subtracting 166 from both sides, the second equation simplifies to ...
3x +y = 14
Adding this to the first equation gives ...
8x = 32
x = 4 . . . . . . divide by 8
Then substituting for x in the first equation gives ...
5(4) -y = 18
20 -18 = y = 2
The values of the variables are x = 4, y = 2.
_____
The angle marked with a double mark is 14°, given by the simplified second equation.
If a cot α = 1 and b cos α = 1, find a2 – b 2
The equivalent expression of the different of two square is -1
Given the following expressions
a cot α = 1
a = 1/cot α = sinα/cosα
b = 1/cos α
We are to find the expression a² - b²
According to difference of two squares;
a² - b² = (a + b) (a - b)
Substitute the given expressions into the formula as shown:
[tex]a^2 - b^2 = (\frac{sin \alpha}{cos \alpha} )^2 - (\frac{1}{cos \alpha} )^2\\a^2 - b^2=\frac{sin^2 \alpha}{cos^2 \alpha} -\frac{1}{cos ^2 \alpha}\\a^2 - b^2=\frac{sin^2 \alpha-1}{cos^2\alpha}\\a^2 - b^2=\frac{-(1-sin^2\alpha)}{cos^2\alpha} \\a^2 - b^2=\frac{-os^2 \alpha}{cos^2 \alpha}\\a^2 - b^2 = -1[/tex]
This shows that the equivalent expression of the difference of two squares is -1
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P=[−3610−4] , Q=[−2571] , R=[4−20813]
Given the three matrices above, evaluate P+Q.
P+Q=[acbd]. Find the values of a, b, c, and d.
Adding the matrices, it is found that the values are: [tex]a = -5, b = 8, c = 11, d = -3[/tex]
The values of a, b, c and d is determined by the addition of matrices P and Q, that is:
[tex]P + Q = \left[\begin{array}{cc}a&c\\b&d\end{array}\right][/tex]
We have that the matrices are:
[tex]P = \left[\begin{array}{cc}-3&6\\10&-4\end{array}\right][/tex]
[tex]Q = \left[\begin{array}{cc}-2&5\\7&1\end{array}\right][/tex]
Then:
[tex]P + Q = \left[\begin{array}{cc}-3&6\\10&-4\end{array}\right] + \left[\begin{array}{cc}-2&5\\7&1\end{array}\right] = \left[\begin{array}{cc}-3-2&6+5\\1+7&-4+1\end{array}\right] = \left[\begin{array}{cc}-5&11\\8&-3\end{array}\right][/tex]
Finally:
[tex]\left[\begin{array}{cc}-5&11\\8&-3\end{array}\right] = \left[\begin{array}{cc}a&c\\b&d\end{array}\right][/tex]
Thus, the values are:
[tex]a = -5, b = 8, c = 11, d = -3[/tex]
A similar problem is given at https://brainly.com/question/24810141
Can you help me solve this please
adhir man gati kam ke prachin kaun charitra hai iska uttar kya hoga
Find the next three terms of the arithmetic sequence.
10, 13, 16, 19, . . .
Question 9 options:
a)
16, 13, 10
b)
17, 20, 23
c)
22, 25, 28
d)
23, 26, 29
Answer:
c
Step-by-step explanation:
There is a common difference d between consecutive terms of an arithmetic sequence, that is
d = 13 - 10 = 16 - 13 = 19 - 16 = 3
To obtain the next term add the common difference 3 to the previous term.
a₅ = a₄ + 3 = 19 + 3 = 22
a₆ = a₅ + 3 = 22 + 3 = 25
a₇ = a₆ + 3 = 25 + 3 = 28
The next 3 terms are 22, 25, 28 → c
Find the measure of the angles (S)
Please help out:/
Answer:
Step-by-step explanation:
The triangle’s angles add up to 180°
so 180 - (5x - 2) = the another one interior angle
180 - 5x + 2
182 - 5x
and then 2x + 76 + (182 - 5x) = 180
2x + 76 + 182 - 5x = 180
258 - 3x = 180
78 = 3x
x = 26
so 2x = (26)(2) = 52
5x - 2 = (5)(26) - 2 = 128
please give me a brainliest answer
The measure of an angle is 15.8°. What is the measure of its complementary angle?
Answer:
x = 74.2°
Step-by-step explanation:
Complementary angles are two angles whose sum is 90°.
Let x = the second angle
15.8° + x = 90°
x = 90 - 15.8°
x = 74.2°
Are these functions or not functions?
If covariance between two variables is near 0, it implies that:
Answer:
If the two random variables are independent, the covariance will be zero. It means they don't have any linear relationship.
Step-by-step explanation:
If the length of the legs of a right triangle are 5 meters and 7 meters, what is the length of the hypotenuse to the nearest tenth of a meter?
Answer:
8.6 meters
Step-by-step explanation:
a² + b² = c² means leg² + leg² = hypotenuse ²
5² + 7² = hypotenuse²
25 + 49 = hypotenuse²
74 = hypotenuse ²
[tex]\sqrt{74}[/tex] = hypotenuse
8.6 = hypotenuse
Determinen las medidas algebraicas necesarias para calcular el área del hexágono
Answer: i cant understand that laugaue so hopefully u do well sorry
Step-by-step explanation:
A car travels a distance of 130 miles in a time of 1.8 hours. What is its average speed rounded to 1dp?
Answer:
72.2
Step-by-step explanation:
130/1.8
Which is the correct label of the parallel lines?
the answer is a || b, or the first option
The inequality 2x+1>15 will be true when
1. x=7
2. x=0
3. x=10
4. x=5
Answer:
3.) x = 10
Step-by-step explanation:
Let’s plug it into our equation
2(10) + 1 = 21
21 is greater than 15
Fill in the blank: 4(3x + ?) = 12x + 16
A) 4, B) 16, C) 12, D) 4x
Answer:
A) 4
Step-by-step explanation:
4(3x + ?) = 12x + 16
\/
12x + ? = 12x + 16
What times 4 is 16?
4.
So our answer is A) 4
How many students spent less than 61 mins studying
6
11
12
17
Answer: 17
Step-by-step explanation:
