A line has slope 56 and y–intercept −3.

Which answer is the equation of the line?




y=56x+3

y=−3x+56

y=56x−3

y=3x+56

Create the expression from the data:

The gallon of paint begins as a whole: 8/8

Then he removes 5/8 gallons of paint from the can: - 5/8

Then he adds 5/8 of a different colored paint to the can: + 5/8

Now combine:

8 / 8 - 5 / 8 + 5 / 8 = 8/8

The paint can is full, then he removes an amount from the can. He then pours more paint into the can that is equal to the amount he originally removed. Therefore, the paint can remained full.

The given quadrilateral PQRS do not have the properties of a parallelogram, but that of a square. Because we are to prove that its consecutive sides are congruent i.e : QP ≅ QR.

The required proofs are stated below:

                  Statement                                 Reason

1. <SPR ≅ <PRQ                                       Alternate angle property

2. PT ≅ TR                                               Definition of a mid-point

3. <PTS ≅ <QTR ≅ [tex]90^{o}[/tex]                           Perpendicular bisector property

4. ST ≅ TQ                                              Mid-point of a segment

5. PQ ≅ SR                                             Opposite side congruent property

6. ΔPQs ≅ ΔQRS                                    Side-Angle-side (SAS) property

7. <PQR ≅ <SPQ                                    Right angle property

8. PQ ≅ QR                                            Congruent consecutive side property

Therefore given that PQ ≅ QR, then the given quadrilateral is a square.

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Answer:

x = 1.5 , y = 2.5

Step-by-step explanation:

4x + 5y = 18.5 → (1)

2x + 4y = 13 → (2)

Multiplying (2) by - 2 and adding to (1) will eliminate the x- term

- 4x - 8y = - 26 → (3)

add (1) and (3) term by term to eliminate x

- 3y = - 7.5 ( divide both sides by - 3 )

y = 2.5

Substitute y = 2.5 into either of the 2 equations and solve for x

Substituting into (1)

4x + 5(2.5) = 18.5

4x + 12.5 = 18.5 ( subtract 12.5 from both sides )

4x = 6 ( divide both sides by 4 )

x = 1.5

Answer:

see explanation

Step-by-step explanation:

To find the zeros equate f(x) to zero , that is

(x + 1)²(x - 3)(x - 4) = 0

Equate each factor to zero and solve for x

x- 4 = 0 ⇒ x = 4

x - 3 = 0 ⇒ x = 3

(x + 1)² = 0 ⇒ (x + 1) = 0 , x + 1 = 0 ( 2 factors ) , then

x = - 1 with multiplicity 2

Answer:

the answer to your question is B 40:45

Step-by-step explanation:

Answer:

x² - 4x + 4  

Step-by-step explanation:

(x -2)(x - 2)                

x² - 2x - 2x + 4          Expand using FOIL.

x² - 4x + 4                 Simplify.

Answer:

The answer is 8

x=3

4^3/2^3=8

Answer:

its b

Step-by-step explanation:

The value of x is [tex]\mathbf{8\dfrac{1}{3}}[/tex]

The objective of this question is to evaluate and determine the value of x. The fraction given in the question consists of algebraic expressions and, we need to solve it through following process;

∴

[tex]\mathbf{\dfrac{x-1}{3-x} + \dfrac{3}{4}=-1 }[/tex]

Collect like terms

[tex]\mathbf{(\dfrac{x-1}{3-x})=-1 -\dfrac{3}{4}}}[/tex]

[tex]\mathbf{(\dfrac{x-1}{3-x})=-(\dfrac{7}{4}})}[/tex]

-4(x - 1) = -7(3 -x)

-4x + 4 = -21 + 7x

4x -7x = -21 - 4

-3x = - 25

[tex]\mathbf{x= \dfrac{25}{3}}[/tex]

[tex]\mathbf{x= 8\dfrac{1}{3}}[/tex]

Learn more about evaluating fractions here:

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Answer:

  19

Step-by-step explanation:

The numerical value not being used as a multiplier of a variable is referred to as the constant. In this equation, the constant is 19.

_____

Additional comment

In different contexts, all of the numerical values, 2, 3, 19, can be referred to as both coefficients and constants. We can say that x has a constant coefficient of 2. We can say the coefficients in this equation are 2, 3, 19. Use the terminology defined in your curriculum materials.

Answer:

Right Triangle

Step-by-step explanation:

I hope this helps!

Answer:

6

Step-by-step explanation:

5x+12=42

subtract 12

5x=30

divide by 5

x=6

Answer:

Step-by-step explanation:

Conclusion:

Therefore, the answer is 'x = 6'.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

i.900

j.6

k.8

l.0

Step-by-step explanation:

hope this helps you ;)

Answer:

1115.49 feet

Step-by-step explanation:

To convert meters to feet, multiply 340 meters by 3.281 because there are approximately 3.281 feet in 1 meter.

340*3.281= 1115.49

Answer:

≈ 98.7

Step-by-step explanation:

What you want to use is Pythagorean Theorem

96 squared + 23 squared = c squared

≈ 98.7

Step-by-step explanation:

the answer I think D should be

Answer:

The answer is (2,0)

Step-by-step explanation:

We know one equation [tex]y =0.5x - 1[/tex] and the other points (3, 1) and (-5, -7).

For the first step, we need to graph the equation we know, since the points already plotted, and therefore have its own line.

As we can tell it crosses over points (2,0) making this equation having exactly one solution.

Making the correct awnser D; (2,0)

Answer:

slope = 0.8

Step-by-step explanation:

HOPE THIS HELPS :)

Answer:

350 millilitres

Step-by-step explanation:

70/100×500=350

Answer:

1913.34

Step-by-step explanation:

1784x0.0725=129.34

129.24+1784.00=1913.34

Answer:

look it up thats what i do

Step-by-step explanation:

Answer:

b,c

Step-by-step explanation:

hello, the answer to this is / and ----- or b and c I got this right on my test :)

Answer:

2w2-5w-11 just subtract the second set of numbers from the first but it has to be like terms such as anything that is squared would only be applicable to another term with that is squared. a term is any group of number separated by a plus or a minus but it is not a term if it is separated by a multiplication symbol or a division symbol

Answer:

2w^2 - 9w - 5

Step-by-step explanation:

I got it right in Grandpoint.

Answer:

They all include the letter A

Step-by-step explanation:

===================================================

Explanation:

A = multiples of 5 between 1 and 30

A = {5,10,15,20,25,30}

B = multiples of 6 between 1 and 30

B = {6,12,18,24,30}

There are 6 items in set A and 5 items in set B. This gives 6+5 = 11 items overall; however, notice that "30" shows up twice. So we have to subtract off 1 to account for this. This means there are 11-1 = 10 unique values that are either a multiple of 5, a multiple of 6, or a multiple of both. This is out of 30 numbers in the set {1, 2, 3, ... , 29, 30}

The probability we want is 10/30 = 1/3

Answer:

15 : 1

Step-by-step explanation:

5 : 1/3

Multiply both numbers in the ratio by 3.

5 × 3 : 1/3 × 3

15 : 1

[tex]5:\frac{1}{3} =5.\frac{3}{1} =\frac{15}{1} <=>15:1 (=15)[/tex]

ok done. Thank to me :>

Answer: You need to count how many squares are shaded(at least half of it), therefore the area is 32 square units.