-2x + 3y = 54
What are the x and y intercepts

Answers

Answer 1

Answer:

x= -27 y=18

Step-by-step explanation:

plug in zero for x to find y and plug in zero for y to find x

Answer 2

Answer:  The x-intercept is (-27,0)

The y intercept is (0,18)

Step-by-step explanation:

For the x- intercept, Substitute 0 for y and solve for x

-2x + 3(0) = 54

-2x + 0 = 54

x = 54/-2

x = -27

For the y -intercept, Substitute 0 for x and solve for y

-2(0) + 3y = 54

0 + 3y = 54

y = 54/3

y = 18

-2x + 3y = 54What Are The X And Y Intercepts

Related Questions

Elena went to a store where you can scoop your own popcorn and buy as
much as you want. She bought 10 ounces of spicy popcorn for $2.50.

Write two different equations that represent this situation. Use p for ounces of popcorn and c for cost in dollars.

HELP PLS EJDHWJDHJ

Answers

Answers:

c=0.25p

p=4c

c=.25p

c=1/4p

Hope I' not too late -w-'

what is the equation shown on this graph?​

Answers

Answer:

y=1

Step-by-step explanation:

there is no slope therefore dont place it. however there is a Y intercept.

A scale drawing of a rectangle park measures 6 inches long and 2 inches wide. If the scale used for the 3 inches equals 7 yards, what is the actual length of the park?

Answers

I’m so sorry for this

A park is showing a movie on the lawn. The base of the screen is 6 feet off the ground and the screen is 22 feet high (see figure).

Answers

Answer:

A. 61.82°;

15.64°

B. 33.37°

Step-by-step explanation:

A.

✍️Angle of elevation from 15 ft:

A right triangle is formed. Apply trigonometric ratios formula to find the angle of elevation from 15 ft.

Thus,

Length of the side Opposite to reference angle = 22 + 6 = 28 ft

Adjacent length = 15 ft

Thus, we would have:

[tex] tan(\theta) = \frac{opp}{adjacent} = \frac{28}{15} [/tex]

[tex] tan(\theta) = 1.8667 [/tex]

[tex] \theta = tan^{-1}(1.8667) [/tex]

[tex] \theta = 61.82 [/tex] (2 d.p)

✍️Angle of elevation from 100 ft:

Thus,

Length of the side Opposite to reference angle = 22 + 6 = 28 ft

Adjacent length = 100 ft

Thus, we would have:

[tex] tan(\theta) = \frac{opp}{adjacent} = \frac{28}{100} [/tex]

[tex] tan(\theta) = 0.28 [/tex]

[tex] \theta = tan^{-1}(0.28) [/tex]

[tex] \theta = 15.64 [/tex] (2 d.p)

B.

✍️Distance you'd be from the screen if you lie on the ground and make an angle of elevation of 40° to the top of the screen:

Adjacent length = your distance from the screen = x

Opposite length = 22 + 6 = 28 ft

Angle of elevation = 40°

Tge trigonometric ratios formula to use would be:

[tex] tan(\theta) = \frac{opp}{adjacent} [/tex]

Plug in the values

[tex] tan(40) = \frac{28}{x} [/tex]

Multiply both sides by x

[tex] x*tan(40) = 28 [/tex]

Divide both sides by tan(40)

[tex] x = \frac{28}{tan(40)} [/tex]

[tex] x = 33.37 [/tex] (2 d.p)

If a roof is 24 feet high and if you leaned a 26 foot ladder against the side of a building how far away from the building is the base of a ladder to reach the roof

Answers

Answer: 35.4 feet.

Step-by-step explanation:

Given data:

Height of the roof = 24 feet

Height of the ladder = 26 foot

Solution:

c^2 = a^2 + b^2

a = 24

b = 26

c^2 = 24^2 + 26^2

c = √576 + 676

c = √1252

c = 35.4 feet

The foot of the ladder is 35.4 foot away from the top of the ladder.

Answer:

The distance between the base of the ladder and the building is 10 ft

Step-by-step explanation:

Here, we want to calculate the distance between the foot of the ladder and the building

To get this, we need to have a pictorial representation. Please check the attachment for this

From the pictorial representation, we can see a right angled triangle with a hypotenuse of 26 feet and the other side being 24 feet. We now need to get the third side of this triangle which represents the distance we want.

Mathematically, we can calculate the distance using Pythagoras’ theorem which states that the square of the length of the hypotenuse is equal the sum of the squares of the two other sides of the triangle.

Let the distance we are looking for be D

26^2 = 24^2 + D^2

D^2 = 26^2 - 24^2

D^2 = 100

D^2 = 10^2

D = 10 feet

Does the system have a no solution or infinitely many solutions
Y=2/3x+2-2x+3y=6

Answers

Answer:

answer for y=2/3x+2: y=2/3x+2

answer for -2x+3y=6: x=3/2y-3

pls give brainliest

Answer:

There are infinitely many solutions.

Step-by-step explanation:

There are infinitely many solutions because if you solve the equations, you will find that both of the equations are actually the same, so there is infinitely many solutions.

Showing that both equations are equal:  y=2/3x+2       -2x+3y=6

y=2/3x+2  Multiply by 3 on both sides

3y=2x+6 Rearrange (-2x on both sides)

3y-2x=6 More rearrangement

-2x+3y=6 Now, if you look back at the second equation, you will see that they are both the same.

                     

If x = -2, what is the value of y, that makes the equation, y = 2x + 3, true? Explain how you know.

Answers

Answer:

Y is equals to negative 1.

Step-by-step explanation:

y = 2x + 3

y =2(-2)+ 3

y =-4+ 3

y=-1

What is the solution to 2(x-4)=16

Answers

Answer:

x=12

Step-by-step explanation:

Average ant weight 4x10^-3 grams. Ant population is 10,000 trillion (10,000,000,000,000,000). What is the total mass of all ants? Show work for mass of ants (grams):​

Answers

Answer:

The total mass is 4 * 10^12 grams

Step-by-step explanation:

To get the total mass of all ants,

We simply multiply the average mass of an ant by the population

That will be;

4 * 10^-3 * 10^15

= 4 * 10^12 grams

Julio says, "If you subtract 19 from my number and multiply the difference by - 7, the result is - 28." What is Julio's number?
Julio's number is

Answers

Answer:

23

Step-by-step explanation:

Basically I did it backwards & opposites:

-28 divided by -7 = 4

4 + 19 = 23

I checked btw and it worked.

Which are equivalent equations? Select two correct answers.

d1 = 2Ad2
d1 = d 1 equals StartFraction 2 A Over d 2 EndFraction.
d2 = d 2 equals StartFraction d 1 Over d2 A EndFraction.
d2 = d 2 equals StartFraction 2 A Over d 1 EndFraction.
d2 = 2Ad1

Answers

Answer:

B and D if not sorry

Step-by-step explanation:

Answer:

b and d

Step-by-step explanation:

Eddie deposits $1090 in an account that earns 6% interest compounded annually for 3 years. What is the total interest earned after 3 years? Round to the nearest cent.
A: 196.20
B: 208.20
C: 1286.20
D: 1298.20

Answers

Answer:

Step-by-step explanation:

Eddie deposits $1090 in an account that earns 6% interest compounded annually for 3 years. What is the total interest earned after 3 years? Round to the nearest cent.

A: 196.20

B: 208.20

C: 1286.20

D: 1298.20

is 3x + 2y = 5 direct variation

Answers

Answer:

What is the constant variation of Y =- 2 3x?

The constant of variation, k , is 23 .

Step-by-step explanation:

When x is zero in a direct variation equation y will also be zero. That means that the y-intercept of all direct variation equations is always zero.

Please help will mark brainliest if correct

Answers

Answer:

B   -------   DE ≅ RS

it's B because DE and RS both contain the equal angles.


How much does one slice of pumpkin pie cost if there are 8 servings per pie?
Ingredients
• Pumpkin 15oz can ($1.50 for 15oz can)
2 eggs ($2.59 for one dozen)
• 1 tsp pumpkin pie spice ($5.99 for 1.12oz Jar =
approx.6tsp)
• Evaporated Milk 14oz can ($1.25 for 14oz can)
• Pillsbury Pie Crust ($3.79 for two crusts)
Show Your Work Here:

Answers

Answer:

$0.76 per serving of pumpkin pie

Step-by-step explanation:

the total cost of the ingredients needed to prepare a pumpkin pie = $1.50 + ($2.59 / 6) + ($5.99 / 6) + $1.25 + ($3.79 / 2) = $6.075

if we cut 8 servings per pie, then the cost per serving = total cost of the pie / number of servings = $6.075 / 8 = $0.759375 ≈ $0.76 per serving of pumpkin pie

We want to find the cost of each slice of a pie given that we know the price of the ingredients that we use to make the whole pie. We will see that the cost of a single slice is $0.75.

First, we must get the cost of the whole pie. We have:

$1.50 for the 15oz can of PumpkinWe know that 12 eggs cost $2.59, then 2 eggs cost: (2/12)*$2.59 = $0.43.We know that 1.12 oz of pie spice costs $5.99, and we use only one teaspoon of this, remember that: 1tsp = 0.167 oz, Then the cost of 1tsp of pie spice is: (0.167 oz)/(1.12 oz)*$5.99 = $0.89.$1.25 for the 14oz can of evaporated milk.One pie crust, we know that two of them cost $3,79, then only one costs: $3.79/2 = $1.90

The total cost is then:

C = $1.50 + $0.43 + $0.89 + $1.25 + $1.90 = $5.97

Now we know the total cost of the pie, and it has 8 slices, then each slice costs: $5.97/8 = $0.75

If you want to learn more, you can read: https://brainly.com/question/20005135

Preston adopted a cat from a rescue shelter. He needs to buy some cat litter, so he compares prices at different stores. He finds the best deal at Fluffy Felines Pet Shop, which sells a 20-pound jug of cat litter for $8.60. How much does the cat litter cost per pound?

Answers

A pound of litter cost 0.43
You would find this by dividing the 8.60 by the 20 to get to the final answer of 0.43

Answer: 0.43

Step-by-step explanation: divide

what is the equation of the line that passes through the point (4,-5) and is parallel to the line y=1/2x+5

Answers

Answer:

y=1/2x - 7

Step-by-step explanation:

Since the lines are parallel, this means that the slopes will be the same, only the y-intercept will change. I graphed this out to find the answer.  

My Fav Football team what’s yours? Follow and Like

Answers

Answer:

I don't like Football...

Step-by-step explanation:

Answer: My fav is the New York Giants

Step-by-step explanation:

Can someone please help me with this proof?!

Given: AC and BD bis, each other.

Prove: ABCD is a parallelogram

Answers

Answer:

because AC and BD bis => AX = XC; BX = XD

ΔAXD ≅ ΔCXB (SAS) because: AX = CX

                                                    DX = BX

                                                    m∠AXD = m∠BXC ( 2 opposing angles)

because ΔAXD ≅ ΔCXB (SAS)

=> AD = BC and m∠DAX = m∠BCX

because m∠DAX = m∠BCX => AD//BC

ABCD has AD = BC and AD//BC => ABCD is a parallelogram

Step-by-step explanation:

What are the steps on how to copy an angle? (Geometry)

Answers

Step-by-step explanation:

Make a point P that will be the vertex of the new angle.

From P, draw a ray PQ. ...

Place the compasses on point A, set to any convenient width.

Draw an arc across both sides of the angle, creating the points J and K as shown.

Hope this helps :)

Write an equation in slope-intercept form of the line with slope −6/5 that contains the point (−5,3)

Answers

Answer:

y=-6/5x-3

Step-by-step explanation:

y-3=-6/5(x+5)

y=-6/5x-3

what websites are similar to brainly?

Answers

Websites similar to Brainly: Quizlet and Socratic

Can I pls have brainliest :(

Answer:

Step-by-step explanation:

How do u know that these two nunbers are oppisites

Answers

Answer:

cous of the negative or positive symbol

Step-by-step explanation:

15 5/12 minus 11 1/8 A. 4 7/24 B. 4 7/12 C. -4 1/3 D.-4 7/24

Answers

Answer:

A. 4 7/24

Step-by-step explanation:

subtract 15 - 11 which equals 4

then do 5/15 - 1/8 =7/24

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