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2 years ago

Find the equation of the line that passes through the points (8,-5) and (4,3)

Mathematics

1 answer:

Vlada [557]2 years ago

6 0

y=a(x - h)^2+k

standard form: y= - 1/2x^2+4x-5

vertex form: y= -1/2(x - 4)^2+3

slope m and y-intercept b

slope: -2

y-intercept:(0,11)

so the answer is A. your welcome

You might be interested in

You have 14 coins that are nickles and quarters that equals 2 dollars how do you solve using substitution?

sergejj [24]

Answer:

The question is incorrect but if half nickels and quarters exist then you could say the answer is 7.5 nickels and 6.5 quarters.

The problem:

14 coins that are either nickels are quarters

The total dollar amount of these coins is 2 dollars

Step-by-step explanation:

Let n be the number of nickels.

Let q be the number of quarters.

We are given that n+q=14 and that .05n+.25q=2.

I'm going to choose to solve the system by elimination.

Multiplying the first equation by .25 gives:

.25n+.25q=.25(14)

.25n+.25q=3.5

So let's line the equations up now:

.25n+.25q=3.5

.05n+.25q=2

---------------------If we subtract the equations, the variable q will be eliminated. Thus, we will able to solve for the variable n.

.20n+0q=1.5

.20n=1.5

Dividing both sides by .2 gives:

n=7.5

If n=7.5 and n+q=14, then we have 7.5+q=14 by substitution property.

We can subtract 7.5 on both sides giving us:

q=14-7.5=6.5

We cannot have 7.5 nickels and 6.5 quarters but this satisfies the given information.

Check:

7.5+6.5=(7+6)+(.5+.5)=13+1=14

7.5(.05)+6.5(.25)=2

Now, the requested way which is by substitution:

Let n be the number of nickels.

Let q be the number of quarters.

We are given that n+q=14 and that .05n+.25q=2.

We can solve the first equation for either n or q and then substitute that into the other equation allowing us to solve for the other variable.

Let's solve for q by subtraction n on both sides:

q=14-n

We are going to replace q in the second equation with (14-n) giving us:

.05n+.25(14-n)=2

Distribute:

.05n+3.5-.25n=2

Combine like terms:

-0.2n+3.5=2

Subtract 3.5 on both sides:

-0.2n=-1.5

Divide both sides by -0.2:

n=7.5

Since q=14-n and n=7.5, then q=14-7.5=6.5 .

We are already check the solution above.

8 0

3 years ago

Find the slope of the line that goes through the given points (8,5) (6,7)

vazorg [7]

To find the slope of a line that goes through given points with known coordinates, you divide the subtraction of the y of the second point minus the y of the first point, by the subtraction of the x of the second point minus the x of the first point:
m = (yB-yA) / (xB-xA)

Let A(8,5) and B(6,7).
With yB = 7; yA = 5; xB = 6; xA = 8
m = (7-5) / (6-8)
m = 2/-2
m = -1

So the slope of the line that goes through the given points (8,5) and (6,7) is m = -1.

I've added a pic of the line with both points under the answer.

Hope this Helps! :)

4 0

3 years ago

Plot the point ( 2, - /4

Yuri [45]

Answer:

Step-by-step explanation:

The first number is 2, so 2 must be plotted on the X radius (because it goes by X first). B plots X on the Y axis so therefore, by process of elimination, A is the answer.

6 0

3 years ago

Read 2 more answers

If 30.0 moles of oxygen are used, how many grams of water will form?

liberstina [14]

Answer:

Step-by-step explanation:

8 0

3 years ago

you owe 8000 on a motorcycle loan the bank charges a compound interest rato 10.9% poor per year per year if you don't make any p

Andru [333]

I=P(1+(r/n))^nt
I is the value owed
r is the rate in a decimal
n is the times compounded (annually =1, quarterly =4, monthly =12 etc.)
t is time invested
I=8000(1+(.109/1))^5x1
I=8000(1.109)^5
I=8000(<span>1.67748)
$13419.84</span>

6 0

3 years ago