therefore angle Y will be equal to angle X by vertically opposite angle as by taking all the angles inside the traingle will be equal to Y so Y = X = 60°

5 0

2 years ago

Find the slope of the line that contains (-1,9) and (9,9).

Artyom0805 [142]

Answer:

Step-by-step explanation:

When we have 2 points, we can find the slope from

m = (y2-y1)/(x2-x1)

= (9-9)/(9--1)

= 0/(9+1)

= 0/10

5 0

2 years ago

Read 2 more answers

Find a and b so that f(x) = x^3 + ax^2 + b will have a critical point at (2,3).

Digiron [165]

Using the critical point concept, it is found that a = -3 and b = 7.

<h3>What are the critical points of a function?</h3>

The critical points of a function are the values of x for which:

$f^{\prime}(x) = 0$

In this problem, the function is:

$f(x) = x^3 + ax^2 + b$

Hence, the derivative is:

$f^{\prime}(x) = 3x^2 + 2ax$

Then:

$f^{\prime}(x) = 0$

$3x^2 + 2ax = 0$

$x(3x + 2a) = 0$

$x = 0$

$3x + 2a = 0$

$3x = -2a$

$x = -\frac{2a}{3}$

Since the critical point is at x = 2, we have that:

$-\frac{2a}{3} = 2$

$-2a = 6$

$2a = -6$

$a = -3$

Then:

$f(x) = x^3 - 3x^2 + b$

Critical point at (2,3) means that when $x = 2, y = 3$ , then:

$3 = 2^3 - 3(2)^2 + b$

$8 - 12 + b = 3$

$b = 7$

You can learn more about the critical point concept at brainly.com/question/2256078

4 0

1 year ago

A coat manufacturer puts 104 coats in a shipment they sent out 41 shipments how many coats did they manufacture send out

Grace [21]

Answer:

The answer is 4,264.

Step-by-step explanation:

6 0

2 years ago