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ankoles [38]
3 years ago
8

4x-4y=15 whats the slope

Mathematics
1 answer:
Reika [66]3 years ago
4 0

Hey there!!!

What is slope-intercept form ?

<em>The slope intercept form is y = mx + b </em>

Where 'm' is the slope and 'b' is the y-intercept.

Given equation :

... 4x - 4y = 15

This is given is standard form.

Let's convert this into slope-intercept form.

... 4x - 4y = 15

... -4y = -4x + 15

... y = x + ( 15 / 4 )

<em>Hence, the slope is '1'. </em>

Hope my answer helps!

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Hello everyone, I have this question. Please help me.
kobusy [5.1K]

Answer:

7 reservoirs

Step-by-step explanation:

1 yards = 3 feet => 3.5 yards = 10.5 feet

To determine how many numbers of reservoirs to reserve 90000, we first need to determine the capacity of each reservoirs (how much liquid one reservoir can contain) - which is equal to the volume.

The formula to calculate the volume of a circular cylinder is:

  - <em>Volume of cylinder = Area of base x Height </em>

<em />

The base of this cylinder is a circle with radius equal to 4 feet. (\pi = 3.14)

=> The are of the base is = \pi *radius^{2} = 3.14 x 4^2 = 50.24 feet square

=> The volume of cylinder = Area of base x Height

=> The volume of one cylinder = 50.24 x 10.5 = 527.52 Cubic foot

We have: 1 cubic foot = 28.317 liters

=> 1 liter = 1/28.317 cubic foot

=> 90000 liters equal to: 90000/28.317 = 3,178.303 cubic foot

The number of reservoirs needed to contain 90000 liters of liquid is:

3,178.303/527.52 = 6.025

=> So that it needs 7 reservoirs to store all 90000 liters of liquid.

5 0
2 years ago
4. Simplify the expression. (6 points)
Lunna [17]

<span>4. Simplify the expression.
sine of x to the second power minus one divided by cosine of negative x</span>

<span>(1−sin2(x))/(sin(x)−csc(x))<span>

</span>sin2x+cos2x=1</span> <span>1−sin2x=cos2x<span>

</span>cos2(x)/(sin(x)−csc(x))</span> <span>csc(x)=1/sin(x)</span> <span>cos2(x)/(sin(x)− 1/sin(x))= cos2(x)/((sin2(x)− 1)/sin(x))</span> <span>sin2(x)− 1=-cos2(x)</span> <span>cos2(x)/(( -cos2(x))/sin(x))
=-sin(x)</span>
<span>the answer is the letter a) -sin x

</span><span>5. Find all solutions in the interval [0, 2π). (6 points)
sin2x + sin x = 0
</span> using a graphical tool  
the solutions   x1=0 x2=pi <span>x3=3pi/2
the answer is the letter </span><span>D) x = 0, π, three pi divided by two</span>

3 0
3 years ago
Read 2 more answers
What is the volume of a sphere with a radius of 6in? Round to the nearest hundredth. Remember V = 4/3πr3 * 20 points 457.86 inch
kakasveta [241]

Given:

The radius of the sphere is 6 in.

To find:

The volume of the sphere.

Solution:

We know that, the volume of a sphere is

V=\dfrac{4}{3}\pi r^3

Where, r is the radius of the sphere.

Putting r=6, we get

V=\dfrac{4}{3}\pi (6)^3

V=\dfrac{4}{3}\pi (216)

V=288\pi

V\approx 904.78

The volume of the sphere is 904.78 inches cubed.

Therefore, the correct option is C.

7 0
3 years ago
In the diagram, polygon ABCD is flipped over a line of reflection to form a polygon with its vertices at A′, B′, C′, and D′. Poi
Nataliya [291]
Here is what I found

7 0
3 years ago
Which graph shows the solution to the inequality?
aleksley [76]

Answer:

Option D graph

Step-by-step explanation:

x - 4 ≥ - 1

add 4 to both sides, x - 4 + 4 ≥ - 1 + 4

x ≥ 3

so x is greater than or equal to 3

- equal to means closed dot at 3

- greater than means arrow to the right of 3

6 0
1 year ago
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