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1 year ago

What is an equation of the line that passes through the points (4,-2) and (-1,3)

2 answers:

6 0

The answer would be y=-x-4

3-(-2)/-1-4 is the slope
Simplified, the slope is -1
So far, we have y=-1x+b.
We know that 4,-2 is a point on this line, so we plug it in.
-2=-1(-2)+b which is the same as -2=2+b
Therefore b=-4
Then plug b back in. We get
y=-x-4 which is the answer

Paraphin [41]1 year ago

4 0

Answer:

<h3>The slope is -1.</h3>

Step-by-step explanation:

To find an equation of the line that passes through the points, you have to use the slope formula.

Slope:

$\Rightarrow \sf{\dfrac{y_2-y_1}{x_2-x_1} }$

y2=3

y1=(-2)

x2=(-1)

x1=4

Solve.

3--2/-1-4=5/-5=-1

The slope is -1.

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find the present value that will grow to $7000 if the annual interest rate is 3.5% compounded quarterly for 9 uears

Gwar [14]

PV=FV/(1+i)^t

FV=7000, i=3.5%=0.035,t=9

put everything in the formula
PV=7000/(1+0.035)^9
PV=$5136.12

7 0

3 years ago

******WHO ANSWERS WILL BE THE BRAINLIEST********

slega [8]

Answer:

D to C

Step-by-step explanation:

The radius is half the diameter or the center point to the edge (circumference)

6 0

2 years ago

Read 2 more answers

Your friend has owned a dog for nine years this is one year less than twice as long as he owned a cat how long has your friend o

Oduvanchick [21]

Answer:

He owned Cat for 5 years.

Step-by-step explanation:

Given: Owned dog for 9 years.

Dog owned year is one year less than twice as long as he owned a cat.

Lets assume the years that cat has been owned be "x".

Now, finding the number years that Cat hes been owned.

As given, Dog owned year is one year less than twice as long as he owned a cat.

∴ using equation to find the Cat´s owned years.

⇒ $2x-1= 9$

adding 1 on both side.

⇒ $2x= 10$

dividing both side by 2

⇒ $x= \frac{10}{2}$

∴x= $5\ years$

Hence, Cat has been owned for 5 years.

6 0

2 years ago

The double number line shows that 555 pounds of avocados cost \$9$9dollar sign, 9.

Mice21 [21]

Answer:

1 pound of avocado costs $1.8.

Step-by-step explanation:

This problem is just a simple division problem. We jest need to divide the given values to get the answer. For our problem, to know the price of 1 pound of avocado, we need to divide the $9 by 5 since the problem stated that the price of 5 pounds of avocados is $9.

Given:

5 pounds avocados = $9

Required:

cost of 1 pound of avocado

Solution:

$9 / 5 pounds = $1.8/pound

1 pound avocado = $1.8

Notice from the first line of solution, the unit became $ per pound. This means that we did the right operation since we are looking for the price per pound.

To check if we computed for the correct value, we should multiply $1.8 to 5. If the answer from doing this is $9, then our answer is correct.

Checking:

$1.8 * 5 = $9

Therefore, the cost of 1 pound of avocado is $1.8

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Ponderosa Paint and Glass carries three brands of paint. A customer wants to buy another gallon of paint to match paint she purc

sveta [45]

Answer:

$\frac{4}{9}$

Step-by-step explanation:

Two events are independent of each other, this is called Compound Probability. Classical example is if two coins are filped, what is the probability of getting two heads in a row.?

Answer: each has 50% probability because there are two states only, either H or T. since we have two coins the probability of getting two heads in row is the product of obtaining heads for each individual coin (which is independent of each other). or is $\frac{1}{2}$ × $\frac{1}{2}$ = $\frac{1}{4}$ = 25%. (Notice!).

Back to our problem, now here we have 3 paint brands and one of them is the right paint brand and two of them are not correct brands. so the prabablity that the customer has picked not correct brand is $\frac{2}{3}$ and her husband has not picked correct brand is also $\frac{2}{3}$ , since two probabilities are compound probabilities i.e indepandant of each other the probablity that both woman and her husband fail get correct brand is the product of the two and is = $\frac{2}{3}$ × $\frac{2}{3}$ = $\frac{4}{9}$ .

4 0

2 years ago