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3 years ago

Choose a linear function for the line represented by the point-slope equation y – 5 = 3(x – 2).

Mathematics

1 answer:

babunello [35]3 years ago

4 0

Step-by-step explanation:

This an answer see in picture

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Number 36 please for geometry

Mumz [18]

Answer:

(x - 1)² + (y + 1/2)² = 65/4

Step-by-step explanation:

Given: the endpoints of the diameter are (3, 3) and (-1, -4). a( To determine the center of this circle, find the midpoint of the line segment connecting these two points:

3 - 1

x = -----------

and

-1

y = ----------

The center is at x = 1 and y = -1/2: (1, -1/2).

b) The radius is half the diameter. The diameter is the distance between the two endpoints given, that is, the distance between (-1, -4) and (3, 3):

diameter = √(4² + 7²) = √(16 + 49) = √65; therefore,

radius = (1/2)√65.

square of the radius = r² = 65/4

The general equation of a circle with center at (h, k) and radius r is

(x - h)² + (y - k)² = r². In this case, the equation is:

(x - 1)² + (y + 1/2)² = 65/4

8 0

3 years ago

49x^2=-21x-2 quadratic functions

lara [203]

Answer: 49x^2=-21x-2 quadratic functions -1/7and -2/7

Step-by-step explanation:

Quadratic function:

In elementary algebra, the quadratic formula is a formula that provides the solution to a quadratic equation. There are other ways of solving a quadratic equation instead of using the quadratic formula, such as factoring, completing the square, graphing and others.

Move terms to the left side

49 $x^{2}$ =-21x-2

49 $x^{2}$ -(-21x-2) =0

Distribute

49 $x^{2}$ -(-21x-2) =0

49 $x^{2}$ +21x+2=0

Use the quadratic formula

x=(-b±√ $b^{2}$ -4ac ) / 2a

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

49 $x^{2}$ +21x+2=0

let, a=49

b=21

c=2

Replace with values in this equation

X=(-b±√ $b^{2}$ -4ac ) / 2a

Simplify

Evaluate the exponent

Multiply the numbers

Subtract the numbers

Evaluate the square root

Multiply the numbers

x=(-21±7) /98

Separate the equations

To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.Separate

x=(-21+7) /98

x=(-21-7) /98

Solve

Rearrange and isolate the variable to find each solution

x=-1/7

x=-2/7

Learn more about area here https://brainly.in/question/5597925

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3 0

2 years ago

Find an exact value. Cos 75° negative square root of six plus square root of two quantity square root of six minus square root o

ehidna [41]

Answer:

√2(√3 - 1)/4

Step-by-step explanation:

To find an exact value for Cos75°, we use the compound angle formula. Since 75° = 45° + 30°, Cos75° = Cos(45° + 30°).

Using Cos(A + B) = CosACosB - SinASinB where A = 45° and B = 30°,

Cos75° = Cos(45° + 30°) = Cos45°Cos30° - Sin45°Sin30°

Now Cos45° = Sin45° = 1/√2 = √2/2, Cos30° = √3/2 and Sin30° = 1/2.

Substituting these values into the above equation, we have

Cos75° = Cos(45° + 30°)

= Cos45°Cos30° - Sin45°Sin30°

= √2/2 × √3/2 - √2/2 × 1/2

= √6/4 -√2/4

= √2(√3 - 1)/4

6 0

3 years ago

What does 3/216 simplify to

quester [9]

216 divided by 3 is 72 so making the answer

1/72

6 0

3 years ago

Find the area of 14 nine and eight

Reptile [31]

Answer:

Can u add the pic and I’ll answer it

Step-by-step explanation:

3 0

3 years ago