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4 years ago

Write an equation that models the line that passes through the points (4,6) and (-4,8)

2 answers:

7 0

For this type of question we use the formula for gradient, which as we know from lower school is rise/run. Rise is the change in the y values, while run is the change in the x values, so we just subtract one set of values from the other like so:
-4 - 4 = -8
8 - 6 = 2
Therefore the gradient of the line is -8/2 which equals -4. Now using the formula y = mx + c as a base we can substitute in one of the given points to solve for c given that we have just determined m to be -4:
y = mx + c = -4x + c
6 = -4(4) + c
6 = -16 + c
22 = c
Therefore the equation of this line is:
y = -4x + 22

Verdich [7]4 years ago

6 0

Use the y-intercept formula: y=mx+b
Plug in one of the points for x and y
Using that, solve for either x or y

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Explain when the congruent complements theorem would be appropriate to use in a proof.

Natasha2012 [34]

The congruent complements theorem 2 angles are complements of the same angle (or of congruent angles), then the two angles are congruent.

7 0

4 years ago

Rewrite the equation by completing the square. 4 x^2 +20 x +25 = 0

Sav [38]

Answer:

x=-5/2

Step-by-step explanation:

4 x^2 +20 x +25 = 0

x^2+5x=-25/4

(b/2)^2=(5/2)^2

x^2+5x+25/4=0

(x+5/2)^2=0

x=-5/2

(Hope this helps)

6 0

3 years ago

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4 0

4 years ago

Read 2 more answers

Mary purchases a new air conditioner for $5,420 and takes out an add-on interest loan at 8.3 percent. If she is to pay off the l

kumpel [21]

Answer:44.986

Step-by-step explanation:5,420x8.3=44,986

3 0

3 years ago

Fred bought 4 liters of liquid laundry detergent, 3,260 milliliters of fabric softener, and 2.3 liters of bleach. Select true or

Norma-Jean [14]

Answer:

1. False 2. False 3. True 4. False 5. True

Step-by-step explanation:

Given:

Fred bought 4 liters of liquid laundry detergent,

3,260 millilitres of fabric softener, and

2.3 liters of bleach.

Select true or false for each statement.

1. Fred bought 96 millilitres more fabric softener than bleach.

Solution:

Fred bought fabric softener = 3,260 millilitres

Fred bought bleach = 2.3 liters = 2300 millilitres

1 liter = 1000 millilitres

2.3 liter = 1000 $\times$ 2.3 = 2300 millilitres

Fred bought more fabric softer than bleach = 3,260 - 2300 = 960

Hence, it is false and actually Fred bought 960 millilitres more fabric softer than bleach.

2. Fred bought 1.95 liters more laundry detergent than bleach.

Solution:

Fred bought laundry detergent = 4 liters

Fred bought bleach = 2.3 liters

Fred bought more laundry detergent than bleach = 4 - 2.3 = 1.7 liters

Hence, it is false and actually Fred bought 1.7 liters more laundry detergent than bleach.

3. Fred bought 960 millilitres more fabric softener than bleach.

It is true, as solved above:

4. Fred bought 170 millilitres more laundry detergent than bleach.

Solution:

Solved above:

Fred bought 1.7 liters more laundry detergent than bleach.

1.7 liters = 1.7 $\times$ 1000 = 1700 millilitres

1.7 liters = 1700 millilitres not 170 millilitres

Hence, it is false.

5. Fred bought 0.96 liters more fabric softener than bleach.

Solution:

Solved above:

Fred bought 960 millilitres more fabric softer than bleach.

1000 millilitres = 1 liters

1 millilitre = $\frac{1}{1000}$

960 millilitre = $\frac{1}{1000}\times960=\frac{960}{1000} =0.96\ liter$

960 millilitres = 0.96 liter

Hence, it is true.

3 0

3 years ago