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3 years ago

What is the equation of a line, in point-slope form, that passes through (-8, 1)and has a slope of ?

Mathematics

1 answer:

Serggg [28]3 years ago

8 0

Answer:

y-1 = 5(x+8)

Step-by-step explanation:

The standard equation of a line in point slope form is expressed as;

y-y0 = m(x-x0)

m is the slope

(x0, y0) is the point

Given

Slope m = 5 (assumed value)

Point (-8,1)

Substitute the given data's into the formula

y -1 = 5(x-(-8))

y-1 = 5(x+8)

Hence the required equation is y-1 = 5(x+8)

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Explain how to decide which is a better value. 4 greeting cards for $10 and 6 greeting cards for $14.

xxMikexx [17]

Answer:

I dont know if this is supposed to be solved a certain way for a class, but as a bargain shopper, this is what I would do to figure out the best value.

Step-by-step explanation:

First divide $10 by 4: 10.00/4=2.5 or $2.50 per card

Then, divide $14 by 6: 14.00/6=2.3333333 so about $2.33 per card

Now, just look at the two answers and see which one is less.

If you buy 4 cards for $10, you will pay $2.50 for each card and if you buy 6 cards for $14, you will pay about $2.33 for each card. Therefore, the better value would be the 6 cards for $14.

6 0

3 years ago

What is 8.3x10^(-1) converted from standard form to ordinary numbers

ddd [48]

8.3x10^-1, I get 0.8300000000000001 when I use parentheses, the way you have it written, I get NaN

8 0

3 years ago

To wash a window that is 12 feet off the ground, Wayne leans a 13-foot ladder against the

AlladinOne [14]

Answer:

5 meters

Step-by-step explanation:

Based on the situation, it forms into a right triangle. So we will apply the Pythagorean Theorem here. The ladder acts as the hypotenuse while the height from the ground to the window serves as our side "a". We are tasked to solve for "b". Side "b" is the distance from foot of side a to the tip of side c which is the hypotenuse (ladder). We will derive the formula below to solve for b.

c = √( a² + b² )

c² = a² + b²

b² = c² - a²

b = √ ( c² - a² )

b = √ ( 13² - 12² )

b = 5 meters

Correct me if I'm wrong. I hope it helps.

3 0

3 years ago

A mixture of 12 liters of chemical A, 16 liters of chemical B, and 26 liters of chemical C is required to kill a destructive cro

VMariaS [17]

Answer:

From Commercial spray X: 4 liters from Chemical A, 8 liters from Chemical B and 8 liters from Chemical C.
From Commercial spray Y: 18 liters of Chemical C
From Commercial spray Z: 8 liters of Chemical A and 8 liters of Chemical B.

Step-by-step explanation:

Since we need a lot of chemical C, we are going to leave Commercial spray Y for last in case we lack in case we need more Chemical C, which is supplied by spray Y.

We need to cover the demand of both chemical A and B. For each liter of Chemical A we get 2 liters of Chemical B by using Commercial spray X. And for each liter of Chemical A we get 2 liters of Chemical B by using spray Z.

We will call X the number of units of Commercial spray X used, where each unit contains 1 liter of Chemical A, 2 liters of Chemical B and 2 iters of Chemical C. Y is the number of units of Commercial spray Y used, containing each of them 1 liter of Chemical C, and Z the number of units of commercial spray Z used, on units containing both 1 liter of Chemical A and Chemical B.

We can represent the amount of liters we have for each chemical on a vector of the form (a,b,c) where a reresents the amount of Chemical A, b the amount of chemical B, and c the amount of chemical C. We want (a,b,c) to be equal to (12,16,26), in other words, we want a to be 12, b to be 16 and c to b 26. Furthermore we can obtain (a,b,c) by using this equation

(a,b,c) = X * (1,2,2) + Y * (0,0,1) + Z * (1,1,0) = (1*X+0*Y+1*Z,2*X+0*Y+1*Z,2*X+1*Y+0*Z) = (X+Z,2*X+Z,2*X+Y)

Thus, we have

a = X+Z = 12
b = 2*X+Z = 16
c = 2*X+Y = 26

We can substract the second equation with the first one to obtain the value of X:

X = b-a = (2*X+Z)-(X+Z) = 16-12 = 4

Replacing X by 4, we obtain on the first expression that 4+Z = 12, hence, Z = 8. Since X is 4, 2*X+Y = 8+Y = 26. This gives us that Y must be 18.

We conclude that we need the following amount of Chemical A, B and C:

From Commercial spray X: 4, 4*2 = 8 and 4*2 = 8 liters respectively
From Commercial spray Y: 18 liters of Chemical C
From Commercial spray Z: 8 liters of Chemical A and 8 liters of Chemical B.

I hope i could help you!

6 0

3 years ago

What does x equal in the equation 0.2x - 1 = -1

Gemiola [76]

If i’m not mistaken the answer would be 0

5 0

3 years ago

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