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Soloha48 [4]
3 years ago
6

Consider the quadratic function f(x)=2x^2-8x-10

Mathematics
1 answer:
Slav-nsk [51]3 years ago
6 0

Answer:

f(x) = 2x² - 8x - 10.

This is a parabola open upward (since a>0) with an axis of symmetry = -b/2a:

a) axis of symmetry: x = -(-8)/(2*2) = 8/4 = 2. Then x = 2, which is the x component of the vertex

b) for x =  2, f(x) = f(2) = - 18 (component of y of the vertex)

c) VERTEX(2, - 18)

d) DISCRIMINENT: b² - 4.a.c = 64 - 4*2*(-10) = 144

Hope this helps! :)

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Help me please
deff fn [24]

Answer:

(x-1)^2 + y^2 = 25

Step-by-step explanation:

center C ( ( xA + xB)/2 , (yA+yB)/2 ) = ( 1 , 0)

AB = 10

radius = AB / 2 = 5

equation formula: (x - xC)^2 + (y-yC)^2 = radius^2

Hence:

(x-1)^2 + y^2 = 25

5 0
2 years ago
the ratio of students at a school is 3 boys for every 4 girls. If there are 52 girls how many boys are in the school
vova2212 [387]
There are 39 boys. 
First you divide 4 into 52 because there are 3 boys for 4 girls. 
Then you take the quotient, 13, and multiply by 3.
3 0
3 years ago
Line ℓ1 has the equation
aleksley [76]

Answer:

\sqrt{2} units

Step-by-step explanation:

The Line 1 has equation x + y = 5 ....... (1) , and  

Line 2 has equation x + y = 3 .......... (2)

Now, we have to find the perpendicular distance between line 1 and line 2.

We can say that (3,0) is a point on line 2 as it satisfies the equation (2).

Now, the perpendicular distance from point (3,0) to the line 1 will be given by the formula

\frac{|3 + 0 - 5|}{\sqrt{1^{2}+ 1^{2}}} = \frac{2}{\sqrt{2}} = \sqrt{2} units (Answer)

We know that the perpendicular distance from any external point (x_{1},y_{1}) to a given straight line ax + by + c = 0 is given by the formula \frac{|ax_{1} + by_{1} + c|}{\sqrt{a^{2} + b^{2}}}.

3 0
3 years ago
A local hospital currently has 184 male patients. If the ratio of male to female patients is 4:3, how many female patients are t
Afina-wow [57]

There are 138 female patients in the hospital.

<h3>Solving word problems involving ratios.</h3>

The solution to the word problem involving ratios in the given problem can be determined as follows.

From the given information:

The total number of people in the hospital = male + female

= 184 + x(unknown)

  • If the ratio of male to female is 4: 3.
  • The total ratio is 4+3 = 7

The ratio of males in the hospital is:

\mathbf{184= \dfrac{4}{7} \times x }

\mathbf{184\times 7= 4 x }

x = 322

The number of female patients in the hospital can now be computed as:

\mathbf{=\dfrac{3}{7}\times 322}

= 138 female patients

Check:

The total number of people in the hospital is:

= 184 + 138

= 322 patients

Learn more about word problems here:

brainly.com/question/13818690

#SPJ1

3 0
1 year ago
What is the measure of x?
tankabanditka [31]

Answer:

33

Step-by-step explanation:

half of 67 i believe its correct

3 0
3 years ago
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