All categories

2 years ago

Put the quadratic

Mathematics

1 answer:

Novay_Z [31]2 years ago

5 0

Answer:

y = 3x² + 5x + 1

x = -b±√b²-4ac/2a

a = 3, b = 5 c = 1

x = -5±√5²-4(3)(1)/2(3)

x = -5±√25-12/6

x = -5±√13/6

You might be interested in

In the diagram below,AB is the diameter of the circle with centre P.Point C lies on the y-axis.Given the coordinates of A and B

Step2247 [10]

Answer:

The coordinates of P are (-2,0)

The radius of the circle is 5.

Step-by-step explanation:

Analytic geometry

The diagram shows a circle with center P, and two points A(-6,3) and B(2,-3) that form the diameter of the circle.

The center of the circle lies at the midpoint of A and B. The midpoint (xm,ym) can be calculated by:

$\displaystyle x_m=\frac{x_1+x_2}{2}$

$\displaystyle y_m=\frac{y_1+y_2}{2}$

Substituting x1=-6, x2=2, y1=3, y2=-3:

$\displaystyle x_m=\frac{-6+2}{2}=\frac{-4}{2}=-2$

$\displaystyle y_m=\frac{3-3}{2}=0$

Thus, the coordinates of P are (-2,0)

b) The radius of the circle is the distance from the center to any point in its circumference. We can use the distance from P to A or B indistinctly.

Given two points A(x1,y1) and P(x2,y2), the distance between them is:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Substituting x1=-6, x2=-2, y1=3, y2=0:

$r=\sqrt{(-2+6)^2+(0-3)^2}$

$r=\sqrt{4^2+(-3)^2}$

$r=\sqrt{16+9}=\sqrt{25}=5$

The radius of the circle is 5.

4 0

3 years ago

The lengths of the sides of a triangle are 7. and 10. If the length of the longest side of a similar triangle is 25. what is the

NeX [460]

Answer: 17.5

Step-by-step explanation:

7:10 = x:25

times both sides by 25

25(7/10) =x

than solve for x

X = 25 × (7/10)

X = 17.5

7 0

3 years ago

Wyatt's dog is tethered to a post in his yard. if the rope tied to the dog is 12 feet long, how many square yards does the dog h

Amiraneli [1.4K]

Radius = 4 yards
Area = PI * radius^2
Area = 3.14 * 16
Area = 50.24 square yards

8 0

3 years ago

Read 2 more answers

If lines are parallel with a transversal, then these two angles are ?

andreev551 [17]

Answer:

Alternate Interior Angles

4 0

3 years ago

Which expression gives the area of the triangle shown below?

kvasek [131]

The answer is d. The reason this is the answer is because to find the area of a triangle you will find half of the base times the height. The formula looks like this: A=1/2bh.

On this picture the base is the length of the bottom part of the triangle (c). It is the distance of the solid line only.

The height is represented as the straight line that is perpendicular to the base (forms a right/90 degree angle). X is the height of the triangle.

Therefore, 1/2cx is the answer.

4 0

3 years ago

Read 2 more answers