The equation of the line that goes through the points ( − 3 , − 9 ) and ( − 6 , − 3 ) can be written in the form y = m x + b

Answers

Answer 1

Answer:

[tex]y=-2x-15[/tex]

Step-by-step explanation:

[tex]y=mx+b[/tex].

m is the slope of the line. To find it we can do [tex]\frac{dy}{dx}[/tex] which is the difference between the y-coordinates divided by the difference between the x-coordinates.

So: [tex]\frac{dy}{dx} =\frac{-9-(-3)}{-3-(-6)} =\frac{-6}{3} =-2[/tex]. Now we have the slope, let's input a set of coordinates into the equation so that we can find the constant [tex]b[/tex].

[tex]-9=-2(-3)+b[/tex]

[tex]b=-15[/tex] - Re-arranging to get b

Now re-write the equation as we have the constants.

[tex]y=-2x-15[/tex]


Related Questions

Missy and Bill were asked to evaluate the expression -3(-2 + 5).

Answers

Answer:

-9

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

using BODMAS, our mathematical operation begins with the bracket.

it implies that from -3(-2+5), we solve the bracket.

-2+5=3

then our mathematical operation is the 'of' operation.

it implies that -3(3) = -9

Answer is -9

There are 173 basketball fans who plan to go to a game. How many buses will be needed, given that each bus can hold 46 fans?

Answers

Answer:

4 buses

Step-by-step explanation:

There are 173 basketball fans

one bus can hold 46 fans

Hence the number of buses needed can be calculated as follows

= 173/46

= 3.76

= 4

Hence 4 buses are needed

Find the surface area of the ball shown. Use 3.14 for π.
Radius is 13 cm.

Answers

Answer:

Hi! answer: 530.66

Step-by-step explanation:

To find area for circles you have to do radius × radius × pi so our radius is 13 so 13 × 13 = 169

169 × 3.14 = 530.66 So that's our answer hope that helps!

Answer:

[tex]676 \pi \ cm^{2}[/tex]

question on picture!!

Answers

Answer:

Step-by-step explanation:

select all equations that have infinitely many solution ​

Answers

Answer:

1, 2

Step-by-step explanation:

1 and two end up being 0=0 solutions (infinite)

3 is 1 solution.

4 is no solutions.

20 points answer pls

Answers

Answer: 0.03, 45.6

Step-by-step explanation: for the first question, move the decimal point two points to the right. 0.03 is the first answer. Next, move the decimal point two points to the left, you will get 45.6

is it a solution or not
y = 2x
y = x + 1

Answers

No its not.
Y = 2x
But y=/= x+1
Because 2x = x+x
= 2*x
But 1+x is not 2x
Let x be 5
2x = 2*5 = 10
Y = 10
but,
1 + 5 =/= 10
So y = 1+6

What is -10 + (-3/4)?
Answers:
-10 3/4
-9 1/4
9 1/4
10 3/4

Answers

Answer:

-10 3/4 hope this help

Step-by-step explanation:

Answer:

the first opinion is correct  

Step-by-step explanation:

if these triangles are similar,name the missing angles, (25 points )​

Answers

Answer:

170

Step-by-step explanation:

A warehouse worker is stacking boxes. The height of each box is 20 centimeters. She cannot stack the boxes higher than 5 feet.
1 inch 2.54 centimeters, 1 foot = 12 inches
What is the maximum number of boxes the warehouse worker can stack? Enter the answer in the box.
boxes​

Answers

Answer:

7 boxes

Step-by-step explanation:

We'll begin by writing convert 5 ft to in. This can be obtained as follow:

1 ft = 12 in

Therefore,

5 ft = 5 ft × 12 in / 1 ft

5 ft = 60 in

Next, we shall convert 60 in to cm. This can be obtained as follow:

1 in = 2.54 cm

Therefore,

60 in = 60 in × 2.54 cm / 1 in

60 in = 152.4 cm

Finally, we shall determine the maximum number of boxes the ware house worker can stack.

Total height = 152.4 cm

Height of 1 box = 20 cm

Number of box =?

Number of box = total height / height of 1 box

Number of box = 152.4 / 20

Number of box = 7

Therefore, the warehouse worker can only stack a maximum of 7 boxes

:) Find the surface area and volume of the cylinder below:
5 m
22 m
Surface Area:
m?
Volume:
m

Answers

Answer: 1727.9

Step-by-step explanation:

Volume = πr2h

= π×52×22

= 550π

= 1727.8759594744 feet3

_5) How does the “x + 1" affect the graph in the equation: y = } • (4)*+1 – 37
A) Left 1
B) Right 1
C) Up 1
D) Down 1

Answers

Answer:

immma send you the link friend me on here Step-by-step explanation:

A sculpture is made of solid copper in the shape of a cone. The sculpture is 67 inches tall, and its base has a radius of 15 inches. If copper costs 1.06$ per cubic inch, how much did the copper for the sculpture cost?


Use 3.14 for Pi, and do not round your answer.

Answers

Answer:

$16,725.21

Step-by-step explanation:

To get the cost of the copper used for the sculpture, we must first determine the volume of the object which is given as a cone

Recall that the volume V of a cone

= 1/3Pir^2h

where r is the base radius and h is the height

Given that the  sculpture is 67 inches tall, and its base has a radius of 15 inches, the volume of the sculpture

= 1/3 * 3.14 * 15^2 * 67

= 15,778.5 cubic inch

If copper costs 1.06$ per cubic inch, then the cost of the copper for the sculpture

= 15,778.5 * 1.06

= $16,725.21

Lateral area
Surface area

Answers

Answer:

Step-by-step explanation:

how would you read the expression 54?​

Answers

Answer:

Five to the fourth power

Answer:

Five to the fourth power

Step-by-step explanation:

Besties helpppp please FASTTT

Answers

Answer:

180

Step-by-step explanation:

area of a trapezoid = [tex]\frac{a+b}{2}h[/tex]

where a = base 1

b = base 2

and h = height

This is what we are given

base 1 = 23

base 2 = 37

and height = 6

That being said we plug in the given values into the formula

[tex]A=\frac{37+23}{2} 6\\23+37=60\\\frac{60}{2} =30\\30*6=180[/tex]

Hence the area of the trapezoid is 180 square feet

find the perimeter of the shaded region

Answers

Answer:

13 u²

Step-by-step explanation:

find the general solution to "+′−6=3^2

Answers

Answer:

answer is -6=9

Step-by-step explanation:

HELPPPPP PLEASE!!! I need to knowwww

Answers

Answer:

$25 is the hourly rate

Step-by-step explanation:


What is the prime factorization for 48?

Answers

Answer:

2^4 × 3

Step-by-step explanation:

2 ^ 4 x 3 would be the prime factorization for 48 <3

the perimeter of a square is 28 feet. what is its area in square feet?

Answers

The area of the square is 49ft squared
Since the formula for the perimeter of a square is 4s then
4s=28
s=7

Now the area of square is s^2=a
(7)^2=a
49=a

Determine the modulus of each of the complex numbers in the matching pairs. List these moduli in order from smallest to largest. Use the letters of the matching pair in your listing.



Suppose m = 2 + 6i, and |m + n| = 3√10 , where n is a complex number.

a. What is the minimum value of the modulus of n?

√10

Provide one example of the complex number, n.



A = J → 2 + 6i

B = F →75

C = H → -3 - i

D = I → 1 + i

E = G → 5 + 5i

these are my matching pairs

Answers

Answer:

might be wrong but i think A

Step-by-step explanation:

Answer:

the modulus of a complex number z = a + bi is:

Izl= √(a²+b²)

The fact that n is complex does not mean that n doesn't has a real part, so we must write our numbers as:

m = 2 + 6i

n = a + bi

Im + nl = 3√10

√(a² + b²+ 2²+ 6²)= 3√10

√(a^2 + b^2 + 40) = 3√10

squaring both side

a²+b²+40 = 3^2*10 = 9*10 =90

a²+b²= 90 - 40

a²+b²=50

So,

|n|=√(a^2 + b^2) = √50

The modulus of n must be equal to the square root of 50.

now

values a and b such

a^2 + b^2 = 50.

for example, a = 5 and b = 5

5²+5²=25+25= 50

Then a possible value for n is:

n = 5+5i

5 dividido en 1.35.

Answers

Answer:

3.7

Step-by-step explanation:

What is the domain of the function {(-3, 4), (-1,3), (0, 4), (3, 6)}?

Answers

Answer:

Domain: {-3, -1, 0, 3}

Step-by-step explanation:

{(-3, 4), (-1,3), (0, 4), (3, 6)}

Domain is just the x values so:

Domain: {-3, -1, 0, 3}

Please help: what is 262.3 out of 329 as a percent?

Answers

Answer:

79.72644377% is the answer I believe.

I am almost positive the answer is 79.72644377%

What is the domain of the function on the graph?

Answers

Domain is the numbers that the x can be so it will be all real numbers

Find the area of the parallelogram. Include formula.

Answers

Answer:

24 units²

Step-by-step explanation:

Hi there!

[tex]A=bh[/tex] where b is the base and h is the height of the parallelogram

Plug in 6 as the base and 4 as the height

[tex]A=(6)(4)\\A=24[/tex]

Therefore, the area of the parallelogram is 24 units².

I hope this helps!

Answer:

Given :-

Height = 6 cm

Base = 4 cm

To Find :-

Area

Solution :-

We know that

Area = Base × Height

Area = 4 × 6

Area = 24 in²

[tex] \\ [/tex]

Wren makes some rectangular display boxes. Wren’s first display box is 6 inches long, 9 inches wide, and 4 inches high. What is the volume of the display box?

Answers

Answer:

216

Step-by-step explanation:

V = whl =9 · 4 · 6 = 216

a jar holds 3 red, 2 white and 5 green marbles. What is the probability of not drawing out a white one?

Answers

Answer:

80%

Step-by-step explanation:

P(not white) = 8/10

An angle measuring 60 degrees is measured as 62 degrees. What is the percentage error correct to 3 significant figures?

Answers

Answer:

3.33%

Step-by-step explanation:

math stuuf <3

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