HELP ;-; its my last question (Am I wasting ur time? ;-;)

Write an equation of a circle whose center is (-3,2) and whose diameter is 10

gayaneshka [121]

The formula for a circle with center (h,k) and radius (r) is as follows:

(x – h)² + (y – k)² = r²

If the diameter of the circle is 10, we know that the radius of the circle must be equal to 5. Insert any known equations into the formula above:

(x – (-3))² + (y – 2)² = 5²

Simplify both sides of the equation:

(x + 3)² + (y – 2)² = 25

This is the equation of a circle with the given measurements.

I hope this helps!

5 0

3 years ago

Find the equation of the axis of symmetry and the coordinates of the vertex of the graph of y=4x^2+5x-1

Ivanshal [37]

Answer:

Axis of symmetry: $x=-\frac{5}{8}$

Vertex: $(-\frac{5}{8},-2\frac{9}{16})$

Step-by-step explanation:

The given quadratic equation is

$y=4x^2+5x-1$

By comparing to the general quadratic function; $y=ax^2+bx+c$

We have a=4,b=5,c=-1

The equation of the axis of symmetry is given by the formula;

$x=-\frac{b}{2a}$

We got this formula by completing the square on the general quadratic function.

We substitute a=4 and b=5 to obtain;

$x=-\frac{5}{2(4)}$

$x=-\frac{5}{8}$
is the axis of symmetry.

To find the y-value of the vertex, we put $x=-\frac{5}{8}$ into the function to obtain;

$y=4(-\frac{5}{8})^2+5(-\frac{5}{8})-1$

$y=4(-\frac{5}{8})^2+5(-\frac{5}{8})-1$

$y=-\frac{41}{16}$

The vertex of the given function is $(-\frac{5}{8},-2\frac{9}{16})$

4 0

3 years ago

-3-6(4x+6)greater than or equal to -111

Stels [109]

Answer:

x=<3

Step-by-step explanation:

explanation in the pic!

4 0

3 years ago

Newton uses two properties ti rewrite the expression (4x23)x25 identify the properties he used why would Newton use these proper

valentinak56 [21]

The two properties newton used to rewrite the expression are;

- Associative Property; Because it involves change of grouping of numbers in the expression.

- Distributive Property; Because it involves distribution of a number outside a bracket to numbers inside that same bracket.

This involves algebraic properties. There are 3 major types that work on only addition and multiplication namely;

- Associative Property

- Commutative Property

- Distributive Property

Let us define each of them;

1) Associative Property; This property in algebra is one that means that no

matter how we group the numbers, we will still get the same result. e.g.

x + (y + z) = (x + y) + z.

2) Commutative Property; This property means that we can change the

order of operation and still get the same answer. For example;

p × q × r = p × r × q

3) Distributive Property; This property means that multiplying the sum of

two or more which are in a bracket by a number outside the will be equal to

the answer gotten when we multiply each number in the bracket

individually by the number outside and then adding their respective

products together. For example; p(q + r) = (p * q) + (p * r)

Newton has the expression; (4 × 23) × 25

Since it is multiplication, he can use any of the three properties above but let us use the associative and distributive properties as they are most suited to this expression.

For the associative property as shown above, he will arrive at;

(4 × 23) × 25 = 4 × (23 × 25)

For the distributive property as shown above, he will arrive at;

(4 × 23) × 25 = (25 × 4) + (25 × 23)

Read more at; brainly.com/question/20724601

6 0

2 years ago

CAN u please aw ser like please

katovenus [111]

Franny: 2.849 tons is the answer

7 0

3 years ago

Read 2 more answers