What are the solutions of this quadratic equation?
25 points

9514 1404 393

Answer:

  (a)  x^2/16 +y^2/9 = 1

Step-by-step explanation:

The form for the equation of an ellipse centered at the origin is ...

  (x/(semi-x-axis))^2 +(y/(semi-y-axis))^2 = 1

The vertex values tell you the semi-x-axis is 4 units, and the semi-y-axis is 3 units. Then you have ...

  (x/4)^2 +(y/3)^2 = 1

  x^2/16 +y^2/9 = 1

__

In case you don't remember that form, you can try any of the points in the equations. The equation that works will quickly become apparent.

Answer: actually it is

x^2/16 +y^2/7 = 1

Step-by-step explanation:

the answer above is right for the X part, for the Y part it is 7, not 9!

comparing value

3x+2=-3x-2

6x=-4

x=-4/6Have solution.

y=-2x+10

y=-2x+10

both are equal So no solution.

3rd

y=-x+4

y=-x+4

both are equal So no solution

4th

3x+y=8

3x+y=9

both are equal So no solution

Answer:

Step-by-step explanation:

1/2

Answer:

Step-by-step explanation:

Answer:

An echo

Step-by-step explanation:

Answer:

n = 28.

Step-by-step explanation:

70 divided by 2.5 is 28

Answer:

x=120

Step-by-step explanation:

its an obtuse angle

Answer: 10 + 7x [tex]\leq \\[/tex] 40

We can use exclusion method:

A and C  is not correct because Ms Hernandez doesn't want to spend more than 40 dollars --> so it must be less than or equal to 40

Answer:

Quadrangle

A quadrilateral can sometimes be called: a Quadrangle ("four angles"), so it sounds like "triangle"

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Step-by-step explanation:

Answer:

50

Step-by-step explanation:

3x - 40 = 2x + 10 - G and j are both parallel angles, meaning they're equal to each other

3x - 40 = 2x + 10

-2x          -2x

------------------------

x - 40 = 10

  +40  +40

------------------------

x = 50

Part A

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Explanation:

We multiply the length and height to get the area

area = (length)*(height)

area = (h+4)*(h)

area = h(h+4)

area = h^2 + 4h .... apply the distributive property

The units for the area are in square inches.

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Part B

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Explanation:

If we add a 3 inch frame along the border, then we're adding two copies of 3 inches along the bottom side. The h+4 along the bottom updates to h+4+3+3 = h+10 along the bottom.

Similarly, along the vertical side we'd have the h go to h+3+3 = h+6

The old rectangle that was h by h+4 is now h+6 by h+10

Multiply these expressions to find the area

area = length*width

area = (h+6)(h+10)

area = x(h+10) ..... replace h+6 with x

area = xh + 10x .... distribute

area = h( x ) + 10( x )

area = h( h+6 ) + 10( h+6 ) .... plug in x = h+6

area = h^2+6h + 10h+60 .... distribute again twice more

area = h^2 + 16h + 60

You can also use the box method or the FOIL rule as alternative routes to find the area.

The units for the area are in square inches.

The area of the canvas without the frame is h² + 4h and with frame is h²+16h+60.

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.

Given that, Keng is painting on a rectangular canvas with a width that is four inches longer than the height,

w = h+4, height = h

Area = (length)x(height)

area = (h+4)x(h)

area = h(h+4)

area = h² + 4h

With the frame,

If we add a 3 inch frame along the border, then we're adding two copies of 3 inches along the bottom side. The h+4 along the bottom updates to h+4+3+3 = h+10 along the bottom.

Keng added a 3-inch-wide frame around the painting,

Therefore,

The h+4 will become h+4+3+3 = h+10

Similarly, along the vertical side = h+3+3 = h+6

Area = (h+10)(h+6) = h²+16h+60

Hence, the area of the canvas without the frame is h² + 4h and with frame is h²+16h+60.

Learn more about areas, click;

https://brainly.com/question/27683633

#SPJ2

Answer:

3/20

Step-by-step explanation:

Answer:

I Believe it means that the interest of 7% of the original number goes up quarterly as in quarter of a year (3 months) If so your answer is 1640

Step-by-step explanation:

Hope this help

Brainiest??

Answer:

Minimum

Step-by-step explanation:

Put it on a graph! It will be shown easily ^^

Answer:

Minimum

Step-by-step explanation:

Minimum.

You can solve this problem by simply graphing it using a graphing calc or desmos or g.o.o.g.l.e

Here you see that you have a lowest point on graph made by equation thus it is a minmum. Another way of thinking would be that graph is going up infinetely whereas in down direction there's one point that is the smallest (minimum)

Answer:

3141.59 cm cubed

Step-by-step explanation:

The formula for volume of a cone is:

V=πr²h /3

When you plug in your numbers, you'll get your answer!

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Have a good day :)

Answer:

1000π cm³

Step-by-step explanation:

v = ⅓×π×10²×30

= 1000π cm³

or 3,140 cm³

Answer:

88 inches cubed

Step-by-step explanation:

Answer:

65 degrees

Step-by-step explanation:

Answer:

1. obtuse angle 105 degrees

2. acute angle  60 degrees

Step-by-step explanation:

Complete Question:

Write a formula for the given measure. Let P represent the perimeter in inches, and w

represent the width in inches. Identify which variable depends on which in the formula.

*The perimeter of a rectangle with a length of 5 inches

Answer:

P = 2(5 + w)

Or

P = 20 + 2w

P is the dependent variable

w is the independent variable

P depends on w.

Step-by-step explanation:

Given:

Perimeter of rectangle = P

Width of the rectangle = w

Length of the rectangle = l = 5 in.

Formula for perimeter of a rectangle = 2(length + width)

Plug in the values. Formula for the given measure would be:

P = 2(5 + w)

Or

P = 20 + 2w

P is the independent variable, while w is the dependent variable.

This is because the Perimeter (P) of the rectangle is dependent on the width (w). Whatever value of w we get would determine the value of P were would get. Therefore,

P depends on w.

Answer and Step-by-step explanation:

To find the sum of all the angles that are labeled, simply just add those angles together.

191 + 56 + 35 = 282

#teamtrees #PAW (Plant And Water)

Answer:

282

Step-by-step explanation:

Answer:

Not sure if this is what you meant by graph and table but heres what i got

Step-by-step explanation:

Answer:

cos(71)

Step-by-step explanation:

Since 19° is less than 90, we can express this in terms of confunction.

sin(θ) = cos(90-θ)

sin(19) = cos(90-19)

sin(19) = cos(71)

Answer:$48230 that will be your answer

Step-by-step explanation:$42,500+65=$48230

Answer:

2550

Step-by-step explanation:

6% x 42500

[tex]\frac{6}{100}[/tex]x[tex]\frac{42500}{1}[/tex]=[tex]\frac{255000}{100}[/tex]=[tex]\frac{2550}{1}[/tex]=2550

2550 turns into 25.50

42500+ 25.50= 42525.50

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Answer:

6 x 10 = 60, 60 divided by 2 ( x 1/2 ) = 30

Step-by-step explanation:

Formula area of a triangle:

B(base)H(height) x 1/2

In this case 10 is your base and 6 is your height.

The area of the shade triangle is 30m².

By convention, the area of a triangle is given as;

Area = (1/2) × base × height

Hence, Area, A of the shaded triangle is;

Read more on area of a triangle;

https://brainly.com/question/23945265

Answer:

RX is parallel to ST

Step-by-step explanation:

Answer:

Line RX and line ST are parallel to each other

Step-by-step explanation:

Answer:Don't really understand the first part of your question but I'll answer it the way I see it

Example of a cube would be, 2^3=8

And the cubed root fo 2 would be 1.260

Step-by-step explanation:

Answer:

Step-by-step explanation:

3^3 would be like 3 times 3 times 3

64 cubed root would be a number that goes in to 64 3 times

i can’t really type it to show you sorry

Answer:

the probability is 1/12

Step-by-step explanation:

Answer:

the angles have a sum of 180°

Answer: look at the picture

Step-by-step explanation: Hope this help :D

Answer:

The answer is A. because of the y intercept and the slope

Answer:

s = 8t

Step-by-step explanation:

every table delivers 8 seats, so s, the number of seats, will be 8 times the number of tables.