The nature of the roots of the equation x^2 - 5 = 0 is real and unequal.
We know that the general form of a quadratic equation is:
ax^2 + bx + c =0
The equation we have is:
x^2 - 5 = 0
Comparing the given equation with the general form of a quadratic equation, we get that:
a = 1, b= 0, and c = -5
If D = b^2 - 4ac > 0, then we say that the roots of the quadratic equation are real and unequal.
Here, (0)^2 - 4x1x(-5) = 20 >0,
hence we conclude that nature of the roots of the equation x^2 - 5 = 0 is real and unequal.
The question is incomplete, the complete question is:
x^2 - 5 = 0.
To know more about nature of roots:
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HELPPP ASAP!! 10TH GRADE GEO
Answer:
[tex]\huge\purple {\boxed {m\angle FEG =23\degree}} [/tex]
[tex] \huge \orange {\boxed {m\angle FEH=113\degree}} [/tex]
Step-by-step explanation:
In the given circle, [tex] \overline{EG} [/tex] is diameter and [tex] \overline{EH} [/tex] is tangent at point E.
[tex]\therefore \widehat {EFG} [/tex] is a semicircular arc.
Since, measure of semicircular arc is 180°
[tex]\therefore m(\widehat {EFG})=180\degree... (1)[/tex]
[tex]\because m( \widehat {EF}) +m(\widehat {FG}) = m(\widehat {EFG}) [/tex] .... (2)
From equations (1) & (2)
[tex]\therefore 134\degree +m(\widehat {FG}) = 180\degree[/tex]
[tex]\therefore m(\widehat {FG}) = 180\degree-134\degree [/tex]
[tex]\therefore m(\widehat {FG}) = 46\degree [/tex]
By inscribed angle theorem:
[tex] m\angle FEG =\frac{1}{2} m(\widehat {FG} ) [/tex]
[tex] m\angle FEG =\frac{1}{2} \times 46\degree [/tex]
[tex]\huge\purple {\boxed {m\angle FEG =23\degree}} [/tex]
By tangent secant theorem:
[tex] m\angle FEH=\frac{1}{2} (46\degree +180\degree) [/tex]
[tex] m\angle FEH=\frac{1}{2} (226\degree) [/tex]
[tex] \huge \orange {\boxed {m\angle FEH=113\degree}} [/tex]
PLEASE HELP ME!!!!!!!
Answer:
I think 26 for the quadrilateral on the 2nd page
Step-by-step explanation:
8 + 4 + 4+ 10
8 is on the top and 4 is on both sides just the right is angled differently and the bottom i think 10...IM SORRY IF YOU GET T WRONG I TRIED MY BEST!!!!!!
Let angle A=17^ , angle C=110^ and a = 5
find the circumference, rounding your answer to 1d.p.
Answer:
Can't see the attached image
Step-by-step explanation:
Post another question and make sure it has the image on it :)
someone help me with math homework
I hope this helps you
8/4=8/4=18/9=2
Side - Side - Side
Answer:
SSS~Explanation:
All corresponding sides have the same ratio
CAN SOMEONE HELP ME PLS TELL ME THE LETTER ANSWER CHOICE!!!!!!!!!!!!!!!!!!!1;))))))))))))))))))))))
Answer:
C
Step-by-step explanation:
27÷12=2.25
Each gallon costed 2.25$
Determine whether 0 is a solution of the inequality.
x = 6
O Yes
ΟNo
Answer:
In my opinion No
Step-by-step explanation:
You are only given "X" SO what is "Y"?
Danielle ran the first
Of a 6-mile race. How many miles did she run?
Answer:
1 1/5 miles or 1/2 miles
Step-by-step explanation:
1/5 x 6 = 6/5 = 1 1/5 or 1/2 miles
Tell whether the angles are complementary, supplementary, or neither.
Answer: b is your answer hope this helped
Step-by-step explanation:
pleas make brainly
.................................................6y=8x
Answer: look at the picture
Step-by-step explanation: Hope this help :D
Your a god if you answer this right!!!! BRAINLIEST
Answer:
y = 3x + 7
Step-by-step explanation:
Rise: 3
Run: 1
Y-Intercept: 7
there are 25 Note books and 20 pens on a table. find the ratio of
i) Number of pens to number of note books
ii) number of Note books to the total number of objects on the table
by objects I mean Note books and pens
Answer:
i] 4:5
ii] 5:9
Step-by-step explanation:
i] no. of pens/ no. of notebooks
20/25
4/5
= 4:5
ii] no. of notebooks/ total no. of pens and notebooks
25/ 20+25
25/ 45
5/ 9
5:9
An engineer is designing a fuel tank in the shape of a cylinder. The tank must have a volume of 3,500 cubic inches. The height of the cylinder must be twice the radius. What is the approximate radius of the cylinder? PLEASE HELP ME!!!! ITS THE TEST FROM PERFORMANCE MATTERS
Answer: 24 inches
Step-by-step explanation:
Let the radius be represented by x
Therefore, the height will be = 2×x = 2x
Volume of a cylinder = πr²h
where, Volume = 3500
π = 3.14
r = x
h = 2x
We then slot in the values into the formula
Volume = πr²h
3500 = 3.14 × x² × 2x
3500 = 3.14 × 2x²
2x² = 3500 / 3.14
2x² = 1114.65
Divide through by 2
x² = 1114.65 / 2
x² = 557
x = ✓557
x = 23.6 = 24 approximately
The radius is 24 inches
Definition of Accreditation
official approval given by an organisation when something / somebody achieves a certain standard
hope it helps you ✌
Two paths each 2m wide run across the middle of a rectangular field. If the area of the cross path is 196m and its length is 60m, find its breadth
Answer:
d=2m
Area(A)=196m
l=60m
Now,
A=d(l+b-d)
196=2(60+b-2)
196=2(58+b)
196=116+2b
2b=196-116
2b=80
b=40m
Anybody help me please
Answer:
Rotation 180° counterclockwise about the origin
Answer:
The second one, I think.
Use a net to find the surface area of the cone to the nearest
square centimeter. Use 3.14 for it.
23 cm
(The figure is not drawn to scale.)
The surface area of the cone is about cm2.
(Round to the nearest whole number as needed.)
Answer:
[tex]V=497.16\ cm^3[/tex]
Step-by-step explanation:
The attached figure shows a cone of radius 5 cm and height 19 cm. The formula for the volume of a cone is given by :
[tex]V=\dfrac{1}{3}\pi r^2h[/tex]
Substitute all the values,
[tex]V=\dfrac{1}{3}\times 3.14\times 5^2\times 19\\\\V=497.16\ cm^3[/tex]
So, the volume of the cone is equal to [tex]497.16\ cm^3[/tex].
Sam is learning the ancient art of kite making. He has determined that his first kite will have diagonals of 24 inches and 25 inches. Determine the area of the kite.
75 in2
150 in2
300 in2
600 in
Answer: d
Step-by-step explanation:
Answer:
300
Step-by-step explanation:
I really need help! On either one!!
Answer:
512 cm3252 cm2Step-by-step explanation:
The first dimension to measure is length. Length is always the longest side of the box that has a flap. The next dimension is width. The width side also has a flap but is always the side shorter than the length. Measure the height of the package. Height is the only dimension without a flap.Area of a square = side times side. Since each side of a square is the same, it can simply be the length of one side squared. If a square has one side of 4 inches, the area would be 4 inches times 4 inches, or 16 square inches. (Square inches can also be written in2.)Perimeter of the rectangle = PQ + QR + RS + SP
= b +l + b + l
= 2b +2l
Again,
ABCD is a rectangle. We know that the opposite sides of a rectangle are equal.
Perimeter of a Rectangle
AB = CD = 5 cm and BC = AD = 3 cm
So, the perimeter of the rectangle ABCD = AB + BC + CD + AD = 5 cm + 3 cm + 5 cm + 3 cm = 16 cm
It can be written as 5 cm + 5 cm + 3 cm + 3 cm
= (2 × 5) cm + (2 × 3) cm
= 2 (5 + 3) cm
= 2 × 8 cm
= 16 cm
We add length and breadth twice to find the perimeter of a rectangle.
Can you please help me I need the answer please
Answer:
b
Step-by-step explanation:
you have to rotate it 180 degrees clockwise to find the transition.
Emilia wants to visit her family in Mexico. The exchange rate is 15 Mexican Pesos for every US Dollar How much money in US currency does she need to bring with her if she wants to have an allowance of 3,525 Mexican Pesos during her short visit?
Answer:
use cymath.
Step-by-step explanation:
Answer:
$235
Step-by-step explanation:
3525/15 is the exchange rate which equals $235
Lines m and n are parallel.
What is the measure of ∠1?
A: 65
B: Not here
C: 4
D: 58
Answer:
c
Step-by-step explanation:
1) What is the value of the expression 3 4 + 15.45 - 19.75 + 7.87?
Answer:
37.57
Step-by-step explanation:
34 + 15.45 - 19.75 + 7.87
34 + 15.45 = 49.45
49.45 - 19.75 + 7.87
49.45 + 7.87 = 57.32
57.32 - 19.75 = 37.57
In a class of 25 students , 12 have taken in mathematics , 8 have taken mathematics but not biology . Find
i. the number of student who have taken mathematics and biology
ii. find those who have taken biology but not mathematics . Solve by making venn diagram
Answer:
I.4
ii.13
Step-by-step explanation:
....ur welcome........
3(x-5)=9 i don't know what to do
Answer:
x=8
Step-by-step explanation:
3(x-5)=9
3x-15=9
3x-15+15=9+15
3x=24
x=8
Answer:
x=8
Step-by-step explanation:
3(x-5) = 9
(3(x-5))/3 = 9/3
x-5 = 3
x-5+5 = 3+5
x=8
find the range of the function f(x)=
[tex] \frac{ {x}^{2} + 3x + 5 }{2x - 1} [/tex]
Rewrite the numerator as
x ² + 3x + 5 = (x - 1/2)² + 4 (x - 1/2) + 27/4
Then
(x ² + 3x + 5) / (2x - 1) = 1/2 × (x ² + 3x + 5) / (x - 1/2)
… = 1/2 × ((x - 1/2)² + 4 (x - 1/2) + 27/4) / (x - 1/2)
… = 1/2 × ((x - 1/2) + 4 + 27 / (4 (x - 1/2)))
… = 1/2 x + 7/4 + 27 / (8 (x - 1/2))
which clearly has a non-removable singularity at x = 1/2, which is to say this function has a domain including including all real numbers except 1/2.
For every number other than x = 1/2, the function takes on every possible real numbers, since 1/2 x + 7/4 alone takes on all real numbers.
So:
domain = {x ∈ ℝ | x ≠ 1/2}
range = {x ∈ ℝ}
-1 /-26 simplified
Answer:
0.038
Step-by-step explanation:
I really hope this helps I'm sorry if its wrong
Brainliest please if its right.
p + -35 = 25 what would be p
Answer: p=60
Step-by-step explanation: Hope this help :D
A cereal box is being designed that needs to have dimension ratios of 1:1.5:4.2 and needs to have a volume of 14.49 cubic inches. What is the box's smallest dimension?
Answer:
2.2 inches
Step-by-step explanation:
smallest dimension = (smallest ratio / total ratio) x volume
(smallest ratio = 1
total ratio = 1 + 1.5 + 4.2 = 6.7
(1/6.7) x 14.49 = 2.2 inches
What is the solution to the equation: 3x + 5 = 3x − 5
Answer:
no solution
Step-by-step explanation:
Answer:
the answer is no solution
Step-by-step explanation: