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3 years ago

A line passes through the points (0, 4) and (1, 9). What is its equation in slope-intercept

Mathematics

1 answer:

Simora [160]3 years ago

7 0

Answer:

y=5x+4

Step-by-step explanation:

First get slope:

(4-9)/(0-1) = -5/-1 = 5

The y-intercept is where the graph hits the y-axis. That is also the point on the graph where x = 0. We are already given that, with point (0,4).

The y-intercept is 4.

y = mx +b, m is slope and b is the intercept.

y = 5x +4

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Ben and Cam are scuba diving. Ben is 15.815.8 meters below the surface of the water. Cam is 4.24.2 meters above Ben. What is Cam

Semmy [17]

Answer:

Option B - 11.6 m below the surface of water.

Step-by-step explanation:

Given : Ben and Cam are scuba diving. Ben is 15.815.8=15.8 meters below the surface of the water. Cam is 4.24.2= 4.2 meters above Ben.

To find : What is Cam's position relative to the surface of the water?

Solution :

Ben is 15.8 meters below the surface of the water.

Cam is 4.2 meters above Ben.

So, Cam is below the surface of water by $15.8-4.2=11.6$ meter.

Therefore, Option B is correct that Cam is 11.6 meters below the surface of the water.

6 0

4 years ago

Read 2 more answers

What expression is equivalent to (st)(6)?

vredina [299]

Answer: S(t(6)) is equivalent

Step-by-step explanation:

I.e,

S(t(6))

=SXtx6

=(st)(6)

7 0

3 years ago

Gaston claims to eat 6 dozen eggs every morning. If the hens in his town lay 2 eggs per day, what is equation that represents th

scoundrel [369]

Answer:

72=2h

Step-by-step explanation:

6x12=72

4 0

3 years ago

What is the maximum height of of Anna's golf ball? The equation is y=x−0.04x2.

elena-s [515]

Given:

The height of a golf ball is represented by the equation:

$y=x-0.04x^2$

To find:

The maximum height of of Anna's golf ball.

Solution:

We have,

$y=x-0.04x^2$

Differentiate with respect to x.

$y'=1-0.04(2x)$

$y'=1-0.08x$

For critical values, $y'=0$ .

$1-0.08x=0$

$-0.08x=-1$

$x=\dfrac{-1}{-0.08}$

$x=12.5$

Differentiate y' with respect to x.

$y''=(0)-0.08(1)$

$y''=-0.08$

Since double derivative is negative, the function is maximum at $x=12.5$ .

Substitute $x=12.5$ in the given equation to get the maximum height.

$y=(12.5)-0.04(12.5)^2$

$y=12.5-0.04(156.25)$

$y=12.5-6.25$

$y=6.25$

Therefore, the maximum height of of Anna's golf ball is 6.25 units.

7 0

3 years ago

Write an equation of the circle with center (-6, 2) and diameter 10.

marshall27 [118]

Solution:

We know that the formula to write the equation of a circle is (x – h)² + (y – k)² = r², where h is the x coordinate, k is the y-coordinate, r is the radius of circle, and the center of circle is (-6,2).

<u>Finding the radius of the circle.</u>

Diameter: 10 units
Radius: 10/2 units = 5 units

<u>Creating the equation:</u>

(x – h)² + (y – k)² = r²
=> (x + 6)² + (y – 2)² = 5²

The equation is (x + 6)² + (y – 2)² = 5².

Learn more: brainly.com/question/26573763

6 0

2 years ago