Write an equation in slope-intercept form of the line that passes through (0,6) and (3, -3).

Please help :(

Answer:

960

Step-by-step explanation:

I'm not sure exactly what's the question, but here's what I found. Lets first put it in our own words.

Consider the speed 4/5 miles in 12 minutes to travel 2/8.

8 + 4 = 12, so you can replace that with 12 minutes.

Now, you can absolutely guess your question.

Time = 12 minutes.

Distance = x (Let x be distance)

Speed = 4/5.

Now, you find distance.

Distance Formula: You can use the equivalent formula d = st which means distance equals rate times time.

So 4/5 × 12, is 9.6.

In fraction, if you have 1 numbers after the decimal point, multiply both numerator and denominator by 10. So 9.6 = (9.6 × 10) × 10 = 960.

Here is a pattern I found

2/5 divided by 4 is 1/10

4/5 divided by 8 is 1/10

If , we consider the given rates , we find that both rates are equivalent.

Two rates are given which are 4/5 miles in 8 minutes and 2/5 miles in 4 minutes.

We have to find out what they actually indicate.

What is the unitary method?

The unitary method is a method in which we find the value of a unit and then the value of the required number of units.

As per the question ;

Two rates are given which are ;  4/5 miles in 8 minutes and 2/5 miles in 4 minutes.

Let's find out what they are actually indicating.

So ;

If , distance travelled in 8 minutes = 4/5 miles

Then ;

In 1 minute , distance travelled will be ;

= [tex]\frac{4}{5*8}[/tex]

= [tex]\frac{4}{40}[/tex]

= 1 / 10 miles

and

If , distance travelled in 4 minutes = 2/5 miles

Then ;

In 1 minute , distance travelled will be ;

= [tex]\frac{2}{5*4}[/tex]

= [tex]\frac{2}{20}[/tex]

= 1 / 10 miles

So , we can conclude that both rates are equivalent.

Thus , if we , consider the given rates , we find that both rates are equivalent.

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Answer:

An inscribed angle is an angle formed by two chords in a circle which have a common endpoint. This common endpoint forms the vertex of the inscribed angle. The other two endpoints define what we call an intercepted arc on the circle. The intercepted arc might be thought of as the part of the circle which is "inside" the inscribed angle.

Understanding:

[Q4] Slope intercept form is [tex]y=mx+b[/tex], where m is slope and b is the y-intercept. We calculated the slope in the previous question which was -45. We can find b by using any point on the previous table and replacing it's x and y values, for this example, I'm going to use (0,1080).

[tex]y=mx+b\\1080=-45(0)+b\\b=1080[/tex]

Now, we can rewrite the equation as follows

[tex]y=-45x+1080[/tex]

[Q5] To find the y-intercept we simply replace every x value with a 0,

[tex]y=-45x+1080\\y=-45(0)+1080\\y=1080[/tex]

This means the y-intercept is at [tex](0,1080)[/tex].

For the x-intercept, you replace the y value with a 0 and solve for x,

[tex]y=-45x+1080\\0=-45x+1080\\-1080=-45x\\x=24[/tex]

This means the x-intercept is at [tex](24,0)[/tex].

Solutions:

[Q4] [tex]y=-45x+1080[/tex]

[Q5] x-intercept: [tex]x=24[/tex]; y-intercept: [tex]y=1080[/tex]

[Q6] The x-intercept represents the months it takes Philip to fully pay his friend for the car. The y-intercept represents the total amount Philip had to pay his friend.

Answer:

b

Step-by-step explanation:

It will take [tex]\frac{20}{9}[/tex] hours as per linear equation to complete the wall.

A linear equation is an equation where the variable of the equation has the highest power of degree one.

Given, the 1st bricklayer build a complete wall of certain size in 5 hours.

Therefore, that bricklayer build [tex]\frac{1}{5}[/tex]th of the complete wall in 1 hour.

Similarly, the 2nd bricklayer build a complete wall of certain size in 4 hours.

Therefore, that bricklayer build [tex]\frac{1}{4}[/tex]th of the complete wall in 1 hour.

If they work together, in 1 hour they build a total of ([tex]\frac{1}{5}[/tex]+[tex]\frac{1}{4}[/tex])th = [tex]\frac{9}{20}[/tex] of the complete wall.

Hence, they will complete the wall in (1÷[tex]\frac{9}{20}[/tex]) hours = [tex]\frac{20}{9}[/tex] hours.

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Answer:

he can buy 2 pounds of macaroni

Step-by-step explanation:

first you add up the 3.75 and the 2.25 from the turkey and the soda. it ranges to 6 dollars. then if each macaroni pound is 2 you will be able to buy 2 pounds from the 4 dollars you have lefy

Answer:

Charlie can buy 1 or 2 pounds of macaroni

Step-by-step explanation

If we add up the cost of the turkey sandwich and the soda, we get $6.00. Charlie has $10.00 to spend, so when he buys the sandwich and soda, he will have $4.00 left to spend. If the macaroni is $2.00 per pound, then Charlie can buy 1 or 2 pounds of macaroni.

hope this helped

Answer:

A. y=1/3x+1

Step-by-step explanation:

When finding a line that is perpendicular to another line, all you have to do is find the "opposite reciprocal" of the slope. In this case that means writing the slope as the fraction -3/1, and then flipping the fraction over (1/-3) and taking away the negative sign which gets you 1/3 for the slope of your new line. Now, all you have of your new equation is the slope. You need to take your new equation (y=1/3x+b) and plug in the x and y coordinates to that equation, and then solve for the last variable which is b. That solving process goes as follows:

3=1/3*6+b

3=2+b

1=b

now you can replace the b with 1 in your equation to get your final answer of y=1/3x+1

Answer:

a. Dan is 100 miles from home at noon and is travelling at 70 miles per hour.

Step-by-step explanation:

Given

[tex]y = 70h + 100[/tex]

Required

Interpret

An equation has the form

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

Where

[tex]m = rate[/tex]

[tex]b = y\ intercept[/tex]

By comparison with [tex]y = 70h + 100[/tex]

[tex]m = 70[/tex]

i.e. He travels at 70 miles per hour

And

[tex]b = 100[/tex]

This represents the initial distance as at when he started travelling (12 noon)

i.e. At noon, he is 100 miles away from home

Answer:

A is the right answer.

Step-by-step explanation:

Answer:

y=1/4x+9

Step-by-step explanation:

x-4y=-36

add 4y to both sides to find x

x=4y−36

To find y=

add -x to both sides

−4y=−x−36

divide both sides by -4

y=mx+b

y=1/4x+9

Answer: $60401.16

Step-by-step explanation:

From the attached image, the total price for the vehicle = $55,927.

If he were to pay the full sticker price for the SUV, the total would sum up to

= $55,927 + 8% sales tax

= $55,927 + 8/100( $55,927)

= $55,927 + 0.08($55,927)

= $55,927 + $4474.16

= $60401.16

The total would sum up to $60401.16

Answer:

y = 7/2x + 7

Step-by-step explanation:

0 = 7/2(-2) + b

0 = -7 + b

b = 7

y = 7/2x + 7

Answer:

I believe the answer is 12

Answer:

the correct answer would be 12

Step-by-step explanation:

10 1/3 + 1 2/3

31/3 + 1 2/3

31/3 + 5/3

=12

Hope this helps, happy holidays!!

Answer:

20% of the animals are giraffes

80% of the animals are zebras

=====================================

Explanation:

Let's say there are 5 animals. This would mean there's 1 giraffe and 4 zebras, since we have four zebras per giraffe.

The percentage of giraffes is 1/5 = 0.20 = 20%

and the percentage of zebras is 4/5 = 0.80 = 80%

The requried percentage of giraffes is 20% and the percentage of Zebras is 80%.

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

the percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,

A zoo has the ratio to zebras (1 giraffe for every 4 zebras)
The total proportion of the zebras and giraffes = 5,
Percentage of giraffe = 1 / 5 × 100% = 20%
Percentage of zebras = 4 / 5 × 100% = 80%

Thus, the requried percentage of giraffes is 20% and the percentage of Zebras is 80%.

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Answer:

Step-by-step explanation:

First, find the slope using the two given points and the slope equation.

[tex]m=\frac{y2-y1}{x2-x1}=\frac{17-8}{19-10}=\frac{9}{9}=1[/tex]

We can enter [tex]m[/tex] into our slope-intercept form now.

[tex]y=mx+b\\y=1x+b\\y=x+b[/tex]

Now, plug in one of the given points to solve for b.

[tex]8=10+b\\b=-2[/tex]

So our final form is:

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

Hope this helps!

The equation of the line passing through the points (10, 8) and (19, 17) is y = x - 2.

The general equation or the slope - intercept form of a straight line is -

y = mx + c

Where -

[m] is the slope of the line.

[c] is the y - intercept.

Given is a line such that points (10, 8) and (19, 17) lie on this line.

The given coordinates are (10, 8) and (19, 17).

First, we will find the slope of the line as follows -

m = (17 - 8)/(19 - 10)

m = 9/9

m = 1

So, the equation of the line will be -

y = x + c

Now, we will find the y - intercept. As the line pass through the point

(10, 8), we can write -

8 = 10 + c

c = 8 - 10

c = -2

So, the equation of the line will be y = x - 2.

Therefore, the equation of the line passing through the points (10, 8) and (19, 17) is y = x - 2.

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Answer:

6

Step-by-step explanation:

15/4÷5/8

15/4×8/5

=6

Answer:

15/4 is 0.0753 and 5/8 0.0097369

Step-by-step explanation:

Answer:

The 32-ounce box

Step-by-step explanation:

The 16-ounce box costs $3.20 for every 16 ounces, but the 32-ounce box costs $3.12 for every 16 ounces. That means the 32-ounce box is a better deal by 8 cents.

Answer:

the big box is a better buy

Step-by-step explanation:

we have

$3.20 for 16ounce

and notice 32 is duble of 16 so to be equal price will be

$6.40 for 32ounce

yet is not is

$6.24 for 32ounce so the big box is less expensive

Answer: 2

Step-by-step explanation:

The slope of the linear graph in the question obtained using the ratio of the rise and run of the line is 2.

Recall :

Slope = Rise / Run

From the graph :

Rise = y2 - y1 = 5 - (-1) = 5 + 1 = 6

Run = x2 - x1 = 2 - (-1) = 2 + 1 = 3

The slope of the graph can be expressed thus :

Therefore, the slope of the line in the graph attached is 2

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Answer:

$267.7

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

We first distribute this. So we have 15x-10 = 10 + 6 +2x.

Then we move the variable to one side and have 13x= 10+10+6

Simplify to get 13x = 26.

x=2

Answer:

#1

#2

#3

#4

Step-by-step explanation:

Hope this helps

Answer:

Step-by-step explanation:

Perimeter is:

Comparing the value:

Are formula:

Replacing values:

Answer:

60cm²

Step-by-step explanation:

To find :-

We know that Perimeter is the sum of sides of a triangle. Here the perimeter is 40cm .

→ 2x - 4 +5x - 13 + x + 9 = 40cm .

→ 8x - 8 = 40cm

→ 8x = 40+8 cm

→ 8x = 48 cm

→ x = 6cm .

We know that the area of the triangle is half the product of base and height .

→ A = 1/2 × b × h

→ A = 1/2 × 8cm × 15cm

→ A = 60cm²

Answer:

C: 12m

Step-by-step explanation:

We can solve this by using the Pythagorean Theorem [tex]a^{2} + b^{2} = c^{2}[/tex]

For this triangle

a= x   b= 5   c= 13

We now have the equation

[tex]x^{2} + 5^{2} =13^{2}[/tex]

If we simplify this we get

[tex]x^{2} + 25 = 169[/tex]

Next, we subtract 25 from both sides

[tex]x^{2} = 144[/tex]

Finally, if we take the square root of both sides of the equation, we find that

x= 12

Answer:

The perimeter of the shape is 32.5

Step-by-step explanation:

Since the dashed line is not a perimeter,

we add the circumference of the circle plus the 3 sides of the rectangle

The circumference is of the half circle with its diameter being the opposite side of the rectangle

The opposite side is the length 10

So the radius is half of this which is 10/2 = 5

The circumference of the semicircle is thus;

pi * r = 22/7 * 5 = 15.71

full circle is 2 * pi * r

semi is half of full so we divide formula by 2

So let’s add up

15.71 + 10 + 3.4 + 3.4 = 32.51

Answer:

i think  its c but not 100% tbh

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation: Because 3 times 4 is 12 plus 2 is 14.

Answer:

x=4

Step-by-step explanation:

First, you have to subtract 2 from both sides of the equation to isolate the variable. Then the equation becomes 3x=12. Next, you have to do the opposite of multiplication, which is division, and divide by 3 on both sides of the equation. 3x divided by 3 cancels out. 12 divided by 3 is 4. Therefore, x=4.

Answer:

(2) 19

Step-by-step explanation:

Answer:

Step-by-step explanation:

55 - 20% = 44

5.5% of 44 = 2.42

2.42 + 44 = 46.42

hope this helps. :]

Step-by-step explanation:

75×50/100= 37.5$

37.5×6/100=225/100=2.25$

37.5+2.25= 39.75$

Answer:

[tex]x^{2}[/tex] + 3 - 6

Step-by-step explanation:

Answer:

x2+3x-6

Step-by-step explanation: