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victus00 [196]
3 years ago
9

What is the slope of the line whose equation is -3x+y=12

Mathematics
2 answers:
Elodia [21]3 years ago
8 0
The equation for slope-intercept form is 

mx+y=b in which m represents the slope.

In this equation the slope is -3 which means that to get to the next point in the line you have to rise -3 and run 1 which also means go down 3 units and go right 1 unit

Hope that made sense and helped you :D
docker41 [41]3 years ago
6 0
3x is the answer as the opposite of -3 in front of x is 3
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Let f be the function that determines the area of a circle (in square cm) given the radius of the circle in cm, r. That is, f(r)
yarga [219]

Answer:

The answers to each question are:

a)A=f(r=4cm)=50.26cm^2

b)\Delta A(10.91cm-10.9cm)=f(10.91cm)-f(10.9cm)=0.6851cm^2

c)C=5\cdot f(r=12.7cm)=2533.54cm^2

d)D=f(r=28cm)+59cm^2=2522.01cm^2

Step-by-step explanation:

The function f(r) that represents the area of a circle (in square cm) is:

f(r)=\pi r^2

a) To represent the area (in square cm) of a circle whose radius is 4 cm, you just have to evaluate the function with a radius of 4cm:

A=f(r=4cm)=50.26cm^2

b) To represent how much the area (in square cm) of a circle increases by when its radius increases from 10.9 to 10.91 cm, you have to represent the difference between the final area with a radius of 10.91cm and the initial area of a radius of 10.9cm:

\Delta A(10.91cm-10.9cm)=f(10.91cm)-f(10.9cm)=0.6851cm^2

c) To represent the area of 5 circles that all have a radius of 12.7 cm, we can use the function f(r) to represent the area of a circle with a radius of 12.7cm and multiply it for 5:

C=5\cdot f(r=12.7cm)=2533.54cm^2

d) To represent the area of the larger circle that is 59 square cm more than the first circle (with a radius of 28 cm), we can use the function f(r) to obtain the area of the first circle and addition 59 square cm:

D=f(r=28cm)+59cm^2=2522.01cm^2

6 0
3 years ago
On Tuesday, Hayley only has 15 cups of flour and 9 eggs, but she has more than enough butter and sugar. Which system of linear i
BabaBlast [244]

<u>Missing part of the question</u>

Hayley bakes zucchini bread and banana bread. Some ingredients Hayley uses for each type of  bread are shown in the tables

Zucchini Bread

2 eggs        2 cups of flour       1.5 cups of sugar        0.5 stick of butter

Banana Bread

1 egg          3 cups of flour        2 cups of sugar          0.25 stick of butter

Answer:

2z + b \le 9

2z + 3b \le 15

Step-by-step explanation:

Given

Flour  = 15

Egg =9

Since there are enough of other ingredients, we will only consider the amount of eggs and cups of flour.

So, we have:

Zucchini Bread

Egg = 2

Flour = 2  

Banana Bread

Egg = 1

Flour = 3

<u>For the eggs</u>

The ratio of eggs to use in the Zucchini bread to Banana bread is:

Egg = 2 (z) : Egg = 1 (b)

This gives:

2z + 1b

The total number of eggs cannot exceed 9.

So, the inequality is:

2z + 1b \le 9

2z + b \le 9

<u>For the flours</u>

The ratio of flours to use in the Zucchini bread to Banana bread is:

Flour = 2 (z) :    Flour = 3 (b)

This gives:

2z + 3b

The total cups of flours cannot exceed 15.

So, the inequality is:

2z + 3b \le 15

Hence:

The system of inequalities is:

2z + b \le 9

2z + 3b \le 15

7 0
3 years ago
The booster club recently bought new baseball equipment. They spent $18 per glove and $24 dollars per catching mask and spent a
hammer [34]

Answer:

given below

Step-by-step explanation:

let the number of gloves be y

then number of masks is y + 8

therefore a equation can be formed:

18(y) + 24(y + 8) = $612

18y+24y+192=612

42y=420

y=$10

each glove cost $10

therefore each masks cost $18

7 0
2 years ago
For each store, what is the ratio of the number of cans to the price.
Tom [10]
21 savage know it all mayne
6 0
3 years ago
The cones below are similar, although not drawn to scale.
Dmitry [639]
9 ft
Set up a ratio...6/18=x/27...reduce to 1/3=x/27...cross multiply and solve for x.
3x=27 so x=9
5 0
3 years ago
Read 2 more answers
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