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o-na [289]
3 years ago
5

Quadratic equation y = -2(x + 4)^2 + 3 what is the vertex

Mathematics
1 answer:
zloy xaker [14]3 years ago
7 0

Answer:

Vertex is (-4,3)

Step-by-step explanation:

rewrite the problem from y=-2(x+4)^2+3 to y=ax^2+bx+c

y=-2x^2-16x-29

the parabola points are: a=-2  b=-16  c=-29

then divide x= -b/2(a)

x= -(-16)/2(-2)

simplify: x=-4

go back and plug in x=-4 to get y

y=3

Answer is (-4,3)

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Drina wrote the system of linear equations below.
zalisa [80]

Answer:

Option c, A square matrix

Step-by-step explanation:

Given system of linear equations are

3x-2y=-2\hfill(1)

7x+3y=26\hfill(2)

-x-11y=46\hfill(3)

Now to find the type of matrix can be formed by using this system

of equations

From the given system of linear equations we can form a matrix

Let A be a matrix

A matrix can be written by

A=co-efficient of x of 1st linear equation    co-efficient of y of 1st linear equation   constant of 1st terms linear equation

co-efficient of x of 2st linear equation   co-efficient of y of 2st linear equation  constant of 2st terms linear equation

co-efficient of x of 3st linear equation   co-efficient of y of 3st linear equation    constant of 3st terms linear equation           3\times 3

which is a 3\times 3 matrix.

Therefore A can be written as

A= \left[\begin{array}{lll}3&-2&-2\\7&3&26\\-1&-11&46\end{array}\right] 3\times 3

Matrix "A" is a 3\times3 matrix so that it has 3 rows and 3 columns

A square matrix has equal rows and equal columns

Since matrix "A" has equal rows and columns Therefore it must be a square matrix

Therefore the given system of linear equation forms a square matrix

7 0
3 years ago
Read 2 more answers
I need some help with this, please explain well. It's Trigonometry with right triangles, please let me know if you need a better
andreyandreev [35.5K]

Answer:

x = 12

Step-by-step explanation:

First you figure out which function your going to use. I notice that from the angle we have 5 which is the opposite side and 23 which is the adjacent side. This means we have to use tangent.

Then set up your equation: tan(x)=5/23. This is because the opposite side is 5 and the adjacent is 23 and it must be set up in that order.

Next get x alone by making the equation: x=tan^-1(5/23).

Then put it into the calculator and round to get 12.

5 0
4 years ago
The sum of four consecutive odd number is 72.Find the number
ArbitrLikvidat [17]

Answer:

15, 17, 19, and 21

Step-by-step explanation:

make the equation

x+x+2+x+4+x+6=72

simplify

4x+12=72

x+3=18

x=15

3 0
2 years ago
Read 2 more answers
A triangle has sides with lengths of 8 millimeters, 15 millimeters, and 17 millimeters. Is it a right triangle?
olga nikolaevna [1]

Answer:

yes.

Step-by-step explanation:

to find this answer, use the pythagoras theorem. the pythagoras theorem states that a² + b² = c².

to see if this is a right angled triangle, we will use this formula, as the pythagoras theorem only works for right angled triangles.

we are going to work out c, which is always the hypotenuse. the hypotenuse is the longest side of a triangle, that is larger than the other values. we know that the hypotenuse of this triangle is 17, so let’s see if that’s the answer we get.

calculation:

a² + b² = c²

a = 8 millimetres

b = 15 millilitres

c = ?

8² + 15² = c²

64 + 225 = c²

64 + 225 = 289.

289 = c²

√289 = c

√289 = 17.

the pythagoras theorem correctly identified the length of the hypothenuse. as i said earlier, this theorem only works on right angled triangles, therefore, this triangle is right angled.

6 0
3 years ago
Hi :) Is this a quadratic function?
aniked [119]

Answer:

no this is not a quadratic function

6 0
3 years ago
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