All categories

2 years ago

Complete the square and write in function form f(x)=x^2+5x+3

1 answer:

6 0

F(x) = x^2 +5x + 3

= (x + 2.5)^2 - 6.25 + 3

= (x + 2.5)^2 - 3.25

That is vertex form. I am not sure what you mean by function form

You might be interested in

A unit vector lies in the xy plane, at an angle of 137 degrees from the x axis, with a positive y component. What is the unit ve

Fed [463]

Answer: ( -0.731, 0.682)

Step-by-step explanation:

The unit vector is defined as a vector that points in the same direction as our vector (137 degrees from the x-axis) and has a magnitude of 1.

Knowing the angle, is really simple to do it.

First, we know that for a radius R and an angle A, the rectangular coordinates can be written as:

x = R*cos(A)

y = R*sin(A)

And if we want that the magnitude/modulus of our vector to be 1, then R = 1, and we know that A = 137°

x = 1*cos(137°) = -0.731

y = 1*sin(137°) = 0.682

Then the unit vector is: ( -0.731, 0.682)

8 0

2 years ago

On a fishing trip, you catch two fish. The weight of the first fish is shown. The second fish weighs at least 0.5 pound more tha

yulyashka [42]

Answer:

w >= 1.7

Step-by-step explanation:

fyi the >= mean less than or equal to

7 0

2 years ago

Roland needs 8 sheets of fabric that are each 45 yard long.

kompoz [17]

The total number of yards is 360 yards

<h3>How to determine the number of yards?</h3>

The given parameters are:

Number of sheets = 8

Yard per sheet = 45 yards

The total number of yards is calculated as:

Total number of yards = Number of sheets * Yard per sheet

Substitute the known values in the above equation

Total number of yards = 8 * 45 yards

Evaluate the product

Total number of yards = 360 yards

Hence, the total number of yards is 360 yards

Read more about unit rates at:

brainly.com/question/19493296

#SPJ1

3 0

1 year ago

A farmer has a field in the shape of a triangle. The farmer has asked the manufacturing class at your school to build a metal fe

Finger [1]

Answer:

Fencing required = 1586 m

Step-by-step explanation:

The given statements can be thought of a triangle $\triangle ABC$ as shown in the diagram attached.

A be the 1st vertex, B be the 2nd vertex and C be the 3rd vertex.

Distance between 1st and 2nd vertex, AB = 435 m

Distance between 2nd and 3rd vertex, AC = 656 m

$\angle A =49^\circ$

To find:

Fencing required for the triangular field.

Solution:

Here, we know two sides of a triangle and the angle between them.

To find the fencing or perimeter of the triangle, we need the third side.

Let us use Cosine Rule to find the third side.

Formula for cosine rule:

$cos A = \dfrac{b^{2}+c^{2}-a^{2}}{2bc}$

Where

a is the side opposite to $\angle A$

b is the side opposite to $\angle B$

c is the side opposite to $\angle C$

$\Rightarrow cos 49^\circ = \dfrac{656^{2}+435^{2}-BC^{2}}{2\times 435\times 656}\\\Rightarrow BC^2 = 430336+189225-2 (435)(656)cos49^\circ\\\Rightarrow BC^2 = 430336+189225-570720\times cos49^\circ\\\Rightarrow BC^2 =619561-570720\times cos49^\circ\\\Rightarrow BC \approx 495\ m$

Perimeter of the triangle = Sum of three sides = AB + BC + AC

Perimeter of the triangle = 435 + 495 + 656 = 1586 m

Fencing required = 1586 m

4 0

2 years ago

10+(2x3)2 / 4 x (1/ 2)3

nydimaria [60]

My answer ‍♀️‍♀️☺️☺️

4 0

2 years ago