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Drupady [299]
3 years ago
14

Identify the slope and the y-intercept in the equation y = -3/4x + 3. Please make sure to say which is the slope and which is th

e y-intercept.
Mathematics
2 answers:
IgorLugansk [536]3 years ago
7 0

Answer:

c or d

Step-by-step explanation:

Liula [17]3 years ago
5 0

Answer:

the y -intercpt is the 3

the slope is -3/4

Step-by-step explanation:

this is because the 3 is the starting point on the y-axis and the slope is -3/4 because you are going down 3 to the right 4 ---hope this helps

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I will give 5 points
ikadub [295]

Use the sum of cubes factoring rule

a^3 + b^3 = (a+b)(a^2 - ab + b^2)

to transform the left hand side into the right hand side.

\frac { \sin^{3} \theta + \cos^{3} \theta } { \sin \theta + \cos \theta } = 1 - \sin \theta \cdot \cos \theta\\\\\frac { (\sin \theta + \cos \theta)(\sin^2 \theta - \sin \theta \cdot \cos\theta + \cos^2 \theta) } { \sin \theta + \cos \theta } = 1 - \sin \theta \cdot \cos \theta\\\\

\sin^2 \theta - \sin \theta \cdot \cos\theta + \cos^2 \theta = 1 - \sin \theta \cdot \cos \theta\\\\(\sin^2 \theta + \cos^2\theta)- \sin \theta \cdot \cos\theta = 1 - \sin \theta \cdot \cos \theta\\\\1- \sin \theta \cdot \cos\theta = 1 - \sin \theta \cdot \cos \theta \ \ \checkmark\\\\

Throughout the entire process, the right hand side stayed the same.

On the last step, I used the pythagorean identity.

8 0
2 years ago
If the parallelogram floor needs a base of 16 feet,what will the height of the floor be
nydimaria [60]

Answer:

See Explanation

Step-by-step explanation:

<em>The question is incomplete because the area of the parallelogram is missing. However, the following will guide you in answering the question</em>

Given

Base = 16\ ft

Required

Determine the Height

Area of a Parallelogram is:

Area = Base * Height

Make Height the subject

Height = \frac{Area}{Base}

Substitute 16 for Base

Height = \frac{Area}{16}

This implies that you divide the value of area by 16 to get the height of the parallelogram.

Take for instance;

Area = 64ft\²

The height would be

Height = \frac{64}{16}

Height = 4\ ft

Or

Area = 80ft\²

The height would be

Height = \frac{80}{16}

Height = 5\ ft

7 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B2536%7D%20" id="TexFormula1" title=" \sqrt{2536} " alt=" \sqrt{2536} " align="abs
fgiga [73]

Answer:

50.35

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
A circular swimming pool has a radius of 15 ft. There is a path all around that pool that is three feet wide.
Romashka-Z-Leto [24]

Answer:

Circumference(C) of the circle is given by:

C = 2 \pi r

where, r is the radius of the circle.

As per the statement:

A circular swimming pool has a radius of 15 ft.

⇒radius of the pool(r) = 15 ft

There is a path all around that pool that is three feet wide.

⇒radius of the outer edge of the path around the pool(r') = 15 +3 = 18 ft

Substitute these in the formula we have;

C = 2 \pi r'

⇒C = 2 \cdot 3.14 \cdot 18 = 113.04 ft

Therefore, the circumference of the outer edge of the path around the pool is, 113.04 ft

6 0
3 years ago
Read 2 more answers
Leticia charges $8 per hour to babysit. She babysat Friday night for 4 hours,
Dmitriy789 [7]

For this case we have that the variable "x" represents the number of hours that Leticia uses to take care of children on Saturday.

IF on Friday I use 4 hours ($ 8 each) and on Saturday "x" hours ($ 8 each) obtaining a profit of $ 72, we have the following equation:

8 (4 + x) = 72

We apply distributive property:

32 + 8x = 72\\8x = 72-32\\8x = 40\\x = \frac {40} {8}\\x = 5

So, on Saturday she spent 5 hours.

Answer:

8 (4 + x) = 72\\x = 5

7 0
3 years ago
Read 2 more answers
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