All categories

3 years ago

X^2+17x+50=0 to the nearest tenth.

Mathematics

2 answers:

goldenfox [79]3 years ago

6 0

Answer: 2.1 Find the Vertex of y = x2-17x-50

Parabolas have a highest or a lowest point called the Vertex . Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) . We know this even before plotting "y" because the coefficient of the first term, 1 , is positive (greater than zero).

Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.

Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.

For any parabola,Ax2+Bx+C,the x -coordinate of the vertex is given by -B/(2A) . In our case the x coordinate is 8.5000

Plugging into the parabola formula 8.5000 for x we can calculate the y -coordinate :

y = 1.0 * 8.50 * 8.50 - 17.0 * 8.50 - 50.0

or y = -122.250

Step-by-step explanation:

inessss [21]3 years ago

6 0

Since you cannot really factor this problem easily, we are going to resort to the quadratic formula!

x= -b+or- sqrt(b^2-4ac) / 2a

x=-17+ or - sqrt(17^2-4*50) /2

x=-17+ or - sqrt89 /2

Now we just need estimate sqrt 89 which is about 9.43 and I will not bother to show the step I did to estimate its about 9.43.

So x= -17+ or -9.43 /2

x= -26.43/2 or -7.57/2

x=-13.215 or -3.785

Round to nearest tenth digit.

x= -13.2 or -3.8

Hope this helps any questions just ask in the comments.

You might be interested in

Yasmin bought several items at the discount store.She paid 8.75 percent sales tax , an amount of $4.59,on the total amount of he

Brilliant_brown [7]

Answer:

$52.5

Step-by-step explanation:

amount paid in sales tax= 4.59

salex tax= 8.75

if x is the total amount of purchase,

8.75% of x = 4.59

x = 52.5

8 0

3 years ago

Write the slope-intercept form of the equation of each line.

shtirl [24]

Answer:

12) $y = -x + 8$

11) $y = 12x + 22$

10) $y = 5x - 4$

9) $y = -2x + 1$

8) $y = 2x + 9$

7) $y = 12x - 28$

6) $y = 1\frac{1}{3}x + 2$

5) $y = 4x - 2$

4) $y = x$

3) $y = 1\frac{2}{5}x - 7$

2) $y = 2x - 4$

1) $y = \frac{2}{3}x - 8$

Step-by-step explanation:

12)

y - 4 = −(x - 4)

y - 4 = −x + 4

+ 4 + 4

__________

$y = -x + 8$

_______________________________________________

11)

y + 2 = 12(x + 2)

y + 2 = 12x + 24

- 2 - 2

____________

$y = 12x + 22$

_______________________________________________

10)

y - 1 = 5(x - 1)

y - 1 = 5x - 5

+ 1 + 1

_________

$y = 5x - 4$

_______________________________________________

y - 5 = −2(x + 2)

y - 5 = −2x - 4

+ 5 + 5

___________

$y = -2x + 1$

_______________________________________________

y - 5 = 2(x + 2)

y - 5 = 2x + 4

+ 5 + 5

__________

$y = 2x + 9$

_______________________________________________

y + 4 = 12(x - 2)

y + 4 = 12x - 24

- 4 - 4

____________

$y = 12x - 28$

_______________________________________________

4x - 3y = −6

-4x - 4x

__________

−3y = −4x - 6

___ _____

−3 −3

$y = 1\frac{1}{3} + 2$

_______________________________________________

4x - y = 2

-4x - 4x

_______

−y = −4x + 2

$y = 4x - 2$

_______________________________________________

x - y = 0

______

−y = −x

$y = x$

_______________________________________________

7x - 5y = 35

-7x - 7x

_________

−5y = −7x + 35

___ ______

−5 −5

$y = 1\frac{2}{5}x - 7$

_______________________________________________

2x - y = 4

-2x - 2x

_______

−y = −2x + 4

$y = 2x - 4$

_______________________________________________

2x - 3y = 24

-2x - 2x

_________

−3y = −2x + 24

___ _______

−3 −3

$y = \frac{2}{3}x - 8$

I am delighted to assist you anytime.

5 0

3 years ago

What geometric shape may describe a quadrilateral that has exactly two pairs of parallel sides and no right angles? (If you don’

Ilya [14]

The answer is a parallelogram. Quadrilateral have 4 sides, and if there are not right angles, it cannot be a rectangle because that is the added characteristic of rectangles. All rectangles are actually parallelograms, but only parallelograms will have exactly 2 pairs of parallel sides with no right angles. The statement says "may" because as I mentioned before, rectangles are parallelograms too!

3 0

3 years ago

Built in 2011, the capital gate tower is 150 meters tall (measured vertically from the ground) and makes a 72 degree angle with

Softa [21]

Answer:

Step-by-step explanation:

You can create a right triangle out of this information and then use right triangle trig to solve.

We are given the height of the triangle as the height of the tower which is 150m.

We are given the angle of inclination as the degree the tower makes with the ground which is 72.

From the angle of 72 degrees, which is also known as the reference angle, we have the side across from it (the height) and we are looking for the side adjacent to it (how far from the base of the tower the keys will land). Side opposite the reference angle over side adjacent to the reference angle is the tangent ratio:

$tan(72)=\frac{150}{x}$ and, solving for x,