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3 years ago

Graph a line with a slope of -2/5 that contains the point (-3,5)

Mathematics

1 answer:

kotykmax [81]3 years ago

4 0

$y=-\frac{2}{5}x+\frac{19}{5}$

Further explanation:

We have to find the equation of the line first to graph the line.

The general form of slope-intercept form of equation of line is:

$y=mx+b$

Given

$m=-\frac{2}{5}$

Putting the value of slope in the equation

$y=-\frac{2}{5}x+b$

To find the value of b, putting the point (-3,5) in equation

$5=-\frac{2}{5}(-3)+b\\5=\frac{6}{5}+b\\5-\frac{6}{5}+b\\b=\frac{25-6}{5}\\b=\frac{19}{5}$

Putting the values of b and m

$y=-\frac{2}{5}x+\frac{19}{5}$

The graph is made by using online graphing tool Desmos.

Keywords: Equation of line, graph of line

Learn more about graphs at:

#LearnwithBrainly

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William is going to invest in an account paying an interest rate of 5.9% compounded

Valentin [98]

Answer:

$\$400.92$

Step-by-step explanation:

we know that

The formula to calculate continuously compounded interest is equal to

$A=P(e)^{rt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

e is the mathematical constant number

we have

$t=19\ years\\ A=\$1,230\\ r=5.9\%=5.9/100=0.059$

substitute in the formula above

$1,230=P(e)^{0.059*19}$

solve for P

$1,230=P(e)^{1.121}$

$P=1,230/(e)^{1.121}$

$P=\$400.92$

3 0

3 years ago

The area of a rectangle is 72 cm2. State the dimensions of the rectangle with the least perimeter. Calculate the perimeter.

Nitella [24]

We know that
<span>Of all the rectangles having same area, square has the least perimeter
</span>
area of square=x²
where
x is the length side of the square
A=72 cm²
72=x²
x=√72-----> x=6√2 cm

Perimeter of square=4*x------> 4*(6√2)-----> P=24√2 cm
P=33.94 cm

the answer is
the perimeter is equal to 24√2 cm or 33.94 cm

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3 years ago

Caleb took 9 photos at the zoo. One third of his photos are of giraffes. Enter the number of Caleb's photos that are of giraffes

Serhud [2]

Answer:

3 pictures are giraffes

Step-by-step explanation:

1/3 of 9 is 3. Caleb took 3 pictures of giraffes.

3,6,9...

1/3, 2/3, 3/3=1

Hope this helps!

8 0

2 years ago

Read 2 more answers

I need help with this question, it asks for what property each equation is, the answers i put are random. thank you very much if

Olegator [25]

1) addition property , you add the -3 over

2) division property , you divide by 6x

3)multiplication property , multiply the 3 by 5 to solve for x .

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3 years ago

How can u find the radius wit the height nd volume

lesantik [10]

Answer:

The radius of a cylinder(r) = √(V / π × h), where V is the volume of a cylinder, h is the height of the cylinder, and π(Pi) is a mathematical constant with an approximate value of 3.14.

Step-by-step explanation:

hope this helps.

5 0

2 years ago