What is the solution to the 2nd degree equation below?x² + 2x + 4 = 0​

[tex]8^2 +B^2 = 14^2\\\\\implies B^2 = 14^2 -8^2 \\\\\implies B^2 = 132\\\\\implies B=\pm\sqrt{132} = \pm 2\sqrt{33}[/tex]

Step-by-step explanation:

Here

5x+16+7x-3+6x+5 = 180(being sum of triangle)

or, 18x=180-18

or, x= 162/18

so, x = 9

now,

here,

<ACD = <ACB(diagonals of parallelogram bisect eachother)

or, <ACD = 7x-3

or, <ACD = 7×9-3

or, <ACD = 63-3

So, <ACD = 60°

[tex] \: \: \: \: [/tex]

[tex]elipse \: \: \: with \: \: the \: \: center (3, - 4)[/tex]

The length of major axis of the ellipse 2√32.

The length of minor axis of the ellipse 2√18.

What is an ellipse?

The standard form of the ellipse is defined as;

x² / a² + y² / b² = 1

Where, a < b

Minor axis of the ellipse = 2a

And, Major axis of the ellipse = 2b

Given that;

The equation of the ellipse is,

(x−3)² / 18 + (y+4)² /32 = 1

Now,

We can compare with the standards form of an equation of ellipse, we get;

a² = 18

a = √18

And, b² = 32

b = √32

Clearly, √18 < √32

That is; a < b

So, The minor axis of the ellipse = 2a

                                                  = 2√18

And, The major axis of the ellipse = 2b

                                             = 2√32

Therefore,

The length of major axis of the ellipse 2√32.

The length of minor axis of the ellipse 2√18.

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The markup percentage specifies the amount by which the selling price is

raised above the cost price.

Reasons:

The original cost of the album = p900

The mark up percentage = 30%

Required:

The selling price

Solution:

The percentage mark up is given by the difference between the price at

which an item is for sale and its cost expressed as a percentage.

[tex]\displaystyle Percentage \ mark \ up = \mathbf{\frac{Selling \ price - Cost \ price}{Cost \ price} \times 100}[/tex]

Therefore, we have;

[tex]\displaystyle 30 = \frac{Selling \ price - 900 }{900} \times 100[/tex]

[tex]\displaystyle 0.3 = \frac{Selling \ price - 900 }{900}[/tex]

900 × 0.3 = Selling price - 900

270 = Selling price - 900

Selling price = 900 + 270 = 1,070

The selling price is B. p 1,070.00

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Answer:

Yes, it is a solution.

Step-by-step explanation:

Plug in 2 into x and 6 into y, because 2 is the x value of the ordered pair and 6 is the y value of the ordered pair.

1st linear equation: 2+6=8, this is true.

2nd linear equation: 3x2-6=0, this is also true.

Therefore, since the ordered pair is a solution to both equations, it is a solution of the linear system.

Answer:

0.4 is the answer

Step-by-step explanation:

Answer:graph A

Step-by-step explanation:

because I clicked the wrong one ‍♀️

Answer:

Rate of change is correct; it's -3. And when the x-value is 8, the y-value is just a value, not a coordinate point. It's one number. -3 would not be the answer, and i dont know what the answer would be, but it's between greater than -14 and less than -23. Hope this helps!!

Step-by-step explanation:

Im not good at explaining things without it sounding very confusing... sorry.

Answer:

false

Step-by-step explanation:

An integer is a whole number and 0.69 is not a whole number.

Answer:

[tex]1,325\geq 26x+270[/tex]

Step-by-step explanation:

Why? Because each input maps to exactly one output. The input oval represents the domain (set of all possible inputs). The output oval is the range, which is the set of all possible outputs. If we had something like the input 0 mapping to the outputs 2 and 4 at the same time, then we wouldn't have a function.

Answer:

steps below

Step-by-step explanation:

h = 5t² + 8t + 3

5t² + 8t + (3-h) = 0

** ax²+bx+c=0       x= (-b±√b²-4ac)/2a

[tex]t=\frac{-8+\sqrt{64-4*5*(3-h)} }{10\\}\\ =\frac{-8+\sqrt{4+20h} }{10}\\ = -0.8 +0.2* \sqrt{1+5h}[/tex]   ..... h≥3 to make t≥0

Answer:

given slope of 2 and a y intercept of 0

f(x) = 2x

Answer:

13 in12

Step-by-step explanation:

Answer:

Domain: {-6, -2, -1, 1, 3, 6}

Range: {-6, -2, -1, 0, 3}

Step-by-step explanation:

to find the domain of a function, you look at all the possible x-values. this means you look at all the points, and see what their x-values are.

for example, the first point on the left is at (-6, -1). this means that -6 is in the domain. continue doing this for all the points, and you get {-6, -2, -1, 1, 3, 6}

to find the range of a function, it's just like domain but with y-values.

for example, for the leftmost point, it's at (-6, -1) so -1 is part of the range. continuing this with all the points, you get {-6, -2, -1, 0, 3}

Answer: B

Step-by-step explanation:

Answer:

Addition property of equality formula

Lesson Summary

We learned that the addition property of equality tells us that if we add the same quantity to both sides of an equation, then our equation remains the same. The formula is if a = b, then a + c = b + c.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

  x = {-2 5/6, +2}

Step-by-step explanation:

To use the quadratic formula, it is helpful to write the equation in standard form.

  (2x +1)(3x +1) = 35

  6x^2 +5x -34 = 0 . . . . . . . subtract 35 and simplify. a=6, b=5, c=-34

The quadratic formula tells you the values of x are ...

  [tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-5\pm\sqrt{5^2-4(6)(-34)}}{2(6)}\\\\=\dfrac{-5\pm\sqrt{841}}{12}=\dfrac{-5\pm29}{12}\\\\\boxed{x=\left\{-\dfrac{17}{6},2\right\}}[/tex]

Step-by-step explanation:

422 - 115

= 307

The taste of new York made $307 more than pizzeria italiano

Answer:

y+4=-5/6(x-8)

Step-by-step explanation:

y-y1=m(x-x1)

y-(-4)=-5/6(x-8)

y+4=-5/6(x-8)

Please mark me as Brainliest if you're satisfied with the answer.

Answer:

is there a pic?

Step-by-step explanation:

we are able to see

Answer:

I'm sorry, but this isn't clear. Maybe remake the layout you wrote? Because 3 3 4 doesn't make sense.

[tex]\huge\boxed{Hi\: there!}[/tex]

3 as an improper fraction: 3/1.

Remember, an improper fraction is a fraction where the numerator is larger than the denominator.

[tex]\huge\boxed{Therefore, \: 3 \: as \: an \: improper\: fraction\: is: \frac{3}{1} }[/tex][tex]\huge\bold{Good \: luck\: with \: your\: studies! :)}\\\huge\bold{Answered \:by: \: An\: Unknown \: Dreamer}[/tex]

Answer:

AB ≈ 5.6 cm

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos62° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{AB}{12}[/tex] ( multiply both sides by 12 )

12 × cos62° = AB , then

AB ≈ 5.6 cm ( to 1 dec. place )

Answer:

its half way correct. get rid of the dot on the 2.

Step-by-step explanation:

the point (2, -6) is where the dot is supposed to be located. the 2 is the x point. and the -6 is the y point. so u go to the right 2 and then u go down 6. so the point is where the lowest dot is located

Answer:

  a.  4, 6

  b.  -72

  c.  (5, 3)

  d.  Graph A

Step-by-step explanation:

To answer these questions, it is useful to start by factoring the equation.

  y = -3x² +30x -72 . . . . given

  y = -3(x² -10x +24) . . . . factor out leading coefficient

  y = -3(x -4)(x -6)

The x-intercepts are the values of x that make the factors zero:

  x = 4, 6

__

The y-intercept is the constant in the equation: -72.

__

We know the x-coordinate of the vertex is the midpoint between the x-intercepts: (4+6)/2 = 5. The y-coordinate can be found by evaluating y at that x-value.

  y = -3(5 -4)(5 -6) = -3(1)(-1) = 3

The vertex is (5, 3).

__

The graph that has the correct vertex and x-intercepts is Graph A.

Answer:

y=-5/2x+2

y+3= -5/2. (x-2)

Step-by-step explanation:

Answer:

y=-5/2x+2

Step-by-step explanation:

y=mx+b, where m is slope, b is y-int and y and x are variables.

Step 1: plot your points

Step 2: draw a line thru them

Step 3: find the slope. -5/2. And your y-int. +2

Hope that helps! Brainliest is appreciated :)