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Tju [1.3M]
3 years ago
13

If the discriminant of an equation is zero, which of the following is true of the equation?​

Mathematics
2 answers:
White raven [17]3 years ago
7 0

\sf Your \: question \: is \: incomplete. \:

______________________

\sf \: I \: believe \: this \: is \: the \: answer \: you \: wanted ⟹

\sf If  \: the  \: discriminant  \: of \:  an \:  equation \:  is  \: zero, \: then \\  \sf \: the \: equation \: will \: have \:\underline{ 1 \: real \: solution \: with \: real \: and \: equal \: roots}.

\boxed{ \sf{Explanation}}

\sf If \: discriminant \: of \: quadratic \: equation  \: ax^{2} + bx + c \: \\ \sf is \: b^{2} - 4ac = 0 \: then \: it \: will \: have \\ \sf↦\underline{1 \: real \: solution \: with \: real \: and \: equal \: roots.}

Nadya [2.5K]3 years ago
5 0

Answer:

see explanation

Step-by-step explanation:

If b² - 4ac = 0

Then the roots are real and equal

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i made a clay snake 9 5/8 inches long, but a section 1 7/8 inches long broke off. how longis the snake now?
Fofino [41]
The answer is 7 3/4.
Turn into improper fraction
= 77/8 − 15/8

= ((77 × 8) − (15 × 8)) / (8 × 8)

= (616 - 120) / 64

= 496/64

= 31/4
8 0
3 years ago
Read 2 more answers
What are the possible values of x if (4c-5)^2= 49?
kykrilka [37]

Answer:

c = 3                              c = -1/2

Step-by-step explanation:

(4c-5)^2= 49

Take the square root of each side

sqrt((4c-5)^2)= ±qrt(49)

4c-5 = ±7

Separate into two equations

4c-5 = 7           4c-5 = -7

Add 5 to each side

4c-5+5 = 7+5          4c-5+5 =-7+5

4c =12                         4c = -2

Divide by 4

4c/4 = 12/4                     4c/4 = -2/4

c = 3                              c = -1/2

7 0
3 years ago
Read 2 more answers
Please anyone to show me how this mathematics question is done..please
irinina [24]

9514 1404 393

Answer:

  (i) 55.59 km/h

  (ii) 3600 nautical miles ≈ 6670.8 km

  (iii) 30°N 29.3°E

Step-by-step explanation:

(i) The speed in km/h requires a units conversion.

  (30 kt/h)(1.853 km/kt) = 55.59 km/h

__

(ii) Here, we assume we're interested in the <em>distance traveled</em>. If the course is "due east", we presume that means it follows the 30° latitude line, so is not the shortest route between A and B. That is, the distance from A to B will be different from the distance traveled. (The shortest route from A to B is along a great circle.)

  distance = speed × time

  distance = (30 kt/h)(120 h) = 3600 nautical miles

  = (55.59 km/h)(120 h) = 6670.8 km

__

(iii) The radius of the 30° latitude line is ...

  (6370 km)(cos(30°)) = 3185√3 km ≈ 5516.58 km

The relationship between arc length (s) and central angle (α) is ...

  s = rα

So, the change in the vessel's longitude is ...

  α = (6670.8 km)/(5516.58 km) ≈ 1.20923 radians ≈ 69.28°

Then town B has longitude ...

  40°W -69.3° = -29.3°W = 29.3°E

The position of town B is about 30°N 29.3°E.

_____

<em>Additional comment</em>

The route supposedly taken by this sea vessel is from the middle of the North Atlantic to a town in northern Egypt, through the northern Sahara desert. The eastern end point is shown in the attachment.

Some spherical trigonometry is involved if you want to find the end point of the great-circle route of the same length.

5 0
2 years ago
The function g(x)=x^2+3. The function f(x)=g(x+2). The function f(x) is shifted horizontally how many places to where ? The func
STALIN [3.7K]

Answer:

The function f(x) is shifted 2 units to the left and 3 units up

Step-by-step explanation:

* Lets revise the translation of a function

- If the function f(x) translated horizontally to the right  

 by h units, then the new function g(x) = f(x - h)

- If the function f(x) translated horizontally to the left  

 by h units, then the new function g(x) = f(x + h)

- If the function f(x) translated vertically up  

 by k units, then the new function g(x) = f(x) + k

- If the function f(x) translated vertically down  

 by k units, then the new function g(x) = f(x) – k

* Lets solve the problem

∵ g(x) = x² + 3

∵ f(x) = g(x + 2)

- Lets find g(x + 2) by replacing x in g(x) by (x + 2)

∵ g(x) = x² + 3

∴ g(x + 2) = (x + 2)² + 3

∵ f(x) = g(x + 2)

∴ f(x) = (x + 2)² + 3

- The parent function of f(x) is x²

∵ x² changed to (x + 2)²

- Use the rules above

∴ f(x) is translated 2 units to the left

∵ (x + 2)² added by 3

- Use the rules above

∴ f(x) is translated 3 units up

* The function f(x) is shifted 2 units to the left and 3 units up

4 0
3 years ago
Jacquie used an app to simulate a coin flip 400 times. It lands on heads 222 times. Based on her results, Jacquie predicts that
vlabodo [156]

Answer: No

Step-by-step explanation: If flipped 400 times and 222 times are heads, then there is a 55.5% chance it will be heads. If flipped 10,000 times, then there should be 5550 heads.

5 0
3 years ago
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