1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Slav-nsk [51]
3 years ago
8

Bonus: 2 points for vertex form or standard form, 5 points for both

Mathematics
1 answer:
Vikki [24]3 years ago
4 0

9514 1404 393

Answer:

  • y = (x -3)² -5
  • y = x² -6x +4

Step-by-step explanation:

The vertex form of the quadratic equation is ...

  y = a(x -h)² +k . . . . . . . . . vertex (h, k); vertical scale factor 'a'

Given the vertex, we can find the scale factor by substituting the given point values:

  11 = a(-1 -3)² -5

  11 = 16a -5

  a = (11 +5)/16 = 1

So, the vertex form equation is ...

  y = (x -3)² -5 . . . . . vertex form

Expanding this gives the standard form.

  y = x² -6x +9 -5

  y = x² -6x +4 . . . . . standard form

You might be interested in
SOMEONE PLEASE HELP.>>>>>>
alexira [117]

Answer:

The answer would be B



6 0
3 years ago
What is the solution of the equation 3x + 5 + 2x - 12
ss7ja [257]

Answer:

7/5

Step-by-step explanation:

3x + 5 + 2x - 12 = 0

5x - 7 = 0

5x = 7

x = 7/5

5 0
2 years ago
Read 2 more answers
Which terms are properties of mathematical proofs?
steposvetlana [31]
Did you ever find the answer?
8 0
3 years ago
PLZ ANSWER FAST WILL GIVE BRAINLIEST Find the value of x.<br> 148
ludmilkaskok [199]
74 degrees

An angles value is 1/2 of the value of its corresponding arc. Angle x has the corresponding arc of 148, so it’s 148/2 or 74 degrees
3 0
3 years ago
Surface Area of the pyramid
hichkok12 [17]

Answer:

C

Step-by-step explanation:

the total surface area of such a pyramid is the sum of 5 areas :

1 bottom square (8×8)

4 side triangles

the area of a triangle is

baseline × height / 2

now, we know the baseline of the 4 triangles, but what is their height (at least we know, all 4 have the same height, as the pyramid is totally regular) ?

the height of the side triangles is the slant height of the pyramid (the distance from the middle of a sideline to the top of the pyramid).

we get this by imagining a right-angled triangle inside the pyramid :

one leg is the inner height of the pyramid.

the second leg is the connection on the bottom square from the base of the inner height to the middle point of a sideline). this is half the length of a sideline.

and the baseline (Hypotenuse) is the slant height of the pyramid.

we can use Pythagoras

c² = a² + b²

with c being the Hypotenuse (side opposite of the 90° angle).

slant height² = 7² + (8/2)² = 49 + 4² = 49 + 16 = 65

slant height = sqrt(65) = 8.062257748... in

so, we get a areas

bottom square = 8×8 = 64 in²

a side triangle = 8×sqrt(65)/2 = 4×sqrt(65) =

= 32.24903099... in²

all 4 side triangles = 4×32.24903099... =

= 128.996124... in²

and we get as total surface area

64 + 128.996124... = 192.996124... in² ≈ 193.00 in²

8 0
1 year ago
Other questions:
  • Nina earns $117.60$117.60 for 1414 hours of work.
    9·1 answer
  • Simplify the expression. Write the answer using scientific notation. (5 x 102)−2
    7·2 answers
  • If f(x) = 2x^2+1 and g(x) =x^2-7 find (f+g)(x)
    9·2 answers
  • I'LL MARK BRAINLIEST JUST PLEASE HELP!!!!!
    6·1 answer
  • What is the slope of the line that contains the points (-1, 2) and (3, 3)?
    8·1 answer
  • Which equation results from adding the equations in this system? x+6y=9 and -x+2y=-15
    9·2 answers
  • What is 62% written as a decimal?
    14·2 answers
  • What is the domain of g?
    5·1 answer
  • -2x - 6 = 2 - 4x - (x - 1)<br> solve
    13·2 answers
  • Please Help I Don't Understand!!!
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!