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wolverine [178]
3 years ago
6

Write a quadratic function with a vertex at (-9,13).

Mathematics
2 answers:
Lorico [155]3 years ago
5 0

Answer:

y = x² + 18x + 94

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (- 9, 13) and letting a = 1, then

y = (x + 9)² + 13 ← expand (x + 9)² using FOIL

   = x² + 18x + 81 + 13

   = x² + 18x + 94

Anarel [89]3 years ago
4 0
Y = (x+9)^2+ 13

Hope that helps.
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3 years ago
The difference of the square of a number and 4 is equal to 3 times that number. Find the negative solution.
leonid [27]

The negative solution is x = –1.

Solution:

Let the number be x.

Square of a number = x²

3 times a number = 3x

Difference of square of a number and 4 = 3 times that number

\Rightarrow x^2-4=3x

Subtract 3x from both sides of the equation, we get

\Rightarrow x^2-3x-4=0

–3x can be written as x – 4x.

\Rightarrow x^2+x-4x-4=0

\Rightarrow( x^2+x)+(-4x-4)=0

1st bracket have common term x and bracket have –4 common term.

\Rightarrow x( x+1)-4(x+1)=0

Take common term x + 1 outside.

(x+1)(x-4)=0

<em>By zero factor principle, if AB = 0 then A = 0 or B = 0.</em>

x + 1 = 0,   x – 4 = 0

x = –1,   x = 4

The negative solution is x = –1.

7 0
4 years ago
Operations on Rational and Irrational Numbers
maksim [4K]

Answer:

19/40

Step-by-step explanation:

5 0
3 years ago
Trapezoid A B C D is shown. A diagonal is drawn from point B to point D. Sides B C and A D are parallel. Sides B A and C D are c
elena-s [515]

Answer:

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Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
PLS HELP ASAPPP plsss
Anna71 [15]

Answer:

27.5

Step-by-step explanation:

this is the trigonometric ratio.. we are looking for d... that is the opposite... any side facing the angel is the opposite.... so the longest side of the right angle triangle is the hypotenuse........ so you are looking for the opposite and you are giving the hypotenuse.... so the easiest way to know how to find it is by using this way...... SOH CAH TOA..... the first words stand for sin cosine and tangent of angles.... we are using sin.... because it says opposite / hypotenuse... and as you can see the angle which is 39 degree we will use sin 39.....what will be sin 39=d/30m....then ull cross multiply.... d=30m* sin 39.....

d = 30m *0.963

d = 28.8

but since 27.5 is dere....

you can round up to 1 sig. f =28

4 0
3 years ago
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