A boy leaves home at 9:15, and arrives at school at 10:05. If he travels non stop at an average speed of 6 kmh, what is the distance, in km, if his home from school?

Answer:

A) You would use the two points that are closest to the graphed line

(2,7) and (8,13)

B) Slope = change in Y over the change in X:

Slope = (13-7) / (8-2) = 6/6 = 1

Slope = 1

c) Point slope is written as y -y1 = m(x-x1) where m is the slope y1 is the first Y value and x1 is the first x value.

Equation is: y-7 = x-2

d) To rewrite y -7 = x-2 in slope intercept form, you need to isolate y.

To isolate Y add 7 to both sides:

y = x +5

Step-by-step explanation:

The equation of line which passes through point (-7,-2) and having slope 3 is y = 3x + 10.

What is Algebraic expression ?

Algebraic expressions are numbers expressed using letters or alphabets without specifying their values. Algebra taught us how to express unknown values using letters such as x, y, and z. There can also be a single value that is placed before and multiplied by a variable in an algebraic expression in addition to these letters, which are called variables.

Here, it is given that line passes though point (-3,1) and having slope of 3.

Now, Let us find the equation of the line using point-slope equation of line :

(y-y₁) = m(x-x₁)

Substituting all the values in above equation to get the equation of line :

(y-1) = 3(x-(-3))

y -1 = 3x + 9

y = 3x + 9 + 1

y = 3x + 10

Therefore, the equation of line which passes through point (-7,-2) and having slope 3 is y = 3x + 10.

check and know more about line here :

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Answer:

30,000,000 or Thirty million -------> Ten millions place

Step-by-step explanation:

Hope this helps!

Answer:

51.2 degrees Celsius

Step-by-step explanation:

Answer:

k = -2x + 1

Step-by-step explanation:

Assuming slope is -2 (and not -=2)

9 = -4(-2) + b

9 = 8 + b

b = 1

Answer:

Please mark Brian List The answer is Cubic units

Answer:

The unit used to express volume is cubic units

any unit but it should be cubic

like cm³ ml³

Answer:

T = N

Step-by-step explanation:

Step-by-step explanation:

x+2y=4

x-2y=12

______ ( add both equation)

2x = 16

x= 16/2

x= 8

Hope it helps ya

Answer:

733.6

Step-by-step explanation:

I did it

Answer:

9 hours

Step-by-step explanation:

12 minus 7.5 equals 4.5 add 4.5 from 4:30 you get 9

1) 452 x 58 =26216

2) 3616 + 3400 = 7016

3) 362 x 92 = 33304

4) 544 + 280 = 824

Hope this helped you- have a good day bro cya)

Answer

10

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

7³÷7⁷=9

it is correct right?

Answer:

(0, - 4 )

Step-by-step explanation:

3x - 2y = 8 → (1)

2x + 2y = - 8 → (2)

Adding (1) and (2) term by term will eliminate the y- term

5x + 0 = 0

5x = 0 , then

x = 0

Substitute x = 0 into either of the 2 equations and solve for y

Substituting into (2)

2(0) + 2y = - 8

0 + 2y = - 8

2y = - 8 ( divide both sides by 2 )

y = - 4

solution is (0, - 4 )

Answer:

9000

4-digit numbers..

Answer:

No, Emma is not correct.

Step-by-step explanation:

because if we put 35 and 42 in rational form we can write it to its simple form by dividing it

35 / 7 = 5

42 / 7 = 6

after dividing we get the answer as 5:6.

Hope it helps ☺️

Answer:

Step 1:

Start by setting it up with the divisor 7 on the left side and the dividend 55 on the right side like this:

   7 ⟌ 5 5  

Step 2:

The divisor (7) goes into the first digit of the dividend (5), 0 time(s). Therefore, put 0 on top:

       0    

   7 ⟌ 5 5  

Step 3:

Multiply the divisor by the result in the previous step (7 x 0 = 0) and write that answer below the dividend.

       0    

   7 ⟌ 5 5  

       0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (5 - 0 = 5) and write the answer below.

       0    

   7 ⟌ 5 5  

     - 0    

       5    

Step 5:

Move down the 2nd digit of the dividend (5) like this:

       0    

   7 ⟌ 5 5  

     - 0    

       5 5  

Step 6:

The divisor (7) goes into the bottom number (55), 7 time(s). Therefore, put 7 on top:

       0 7  

   7 ⟌ 5 5  

     - 0    

       5 5  

Step 7:

Multiply the divisor by the result in the previous step (7 x 7 = 49) and write that answer at the bottom:

       0 7  

   7 ⟌ 5 5  

     - 0    

       5 5  

      4 9  

Step 8:

Subtract the result in the previous step from the number written above it. (55 - 49 = 6) and write the answer at the bottom.

       0 7  

   7 ⟌ 5 5  

     - 0    

       5 5  

     - 4 9  

         6  

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Answer:

b=5 m

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the number of tulips is x, then the equation is:

Answer:

-48. You multiply the figures

Answer:

B. -48

Explanation:

Simply -16 multiplied by 3. When one negative number is multiplied, the product is a negative. When two negative numbers are multiplied together, the product is positive.

Answer:

45

Step-by-step explanation:

45! £€#^_#÷5€£¥¥*^

Answer:

b

Step-by-step explanation:

The value of [tex]c[/tex] such that the line [tex]y = 2\cdot x + 3[/tex] is tangent to the parabola [tex]y = c\cdot x^{2}[/tex] is [tex]-\frac{1}{3}[/tex].

If [tex]y = 2\cdot x + 3[/tex] is a line tangent to the parabola [tex]y = c\cdot x^{2}[/tex], then we must observe the following condition, that is, the slope of the line is equal to the first derivative of the parabola:

[tex]2\cdot c \cdot x = 2[/tex] (1)

Then, we have the following system of equations:

[tex]y = 2\cdot x + 3[/tex] (1)

[tex]y = c\cdot x^{2}[/tex] (2)

[tex]c\cdot x = 1[/tex] (3)

Whose solution is shown below:

By (3):

[tex]c =\frac{1}{x}[/tex]

(3) in (2):

[tex]y = x[/tex] (4)

(4) in (1):

[tex]y = -3[/tex]

[tex]x = -3[/tex]

[tex]c = -\frac{1}{3}[/tex]

The value of [tex]c[/tex] such that the line [tex]y = 2\cdot x + 3[/tex] is tangent to the parabola [tex]y = c\cdot x^{2}[/tex] is [tex]-\frac{1}{3}[/tex].

We kindly invite to check this question on tangent lines: https://brainly.com/question/13424370

Answer:

18

Step-by-step explanation:

by similarity of triangles TYU and OYL we have

[tex]x + 2 = 2(2x - 14) = 4x - 28 \\ 3x = 28 + 2 = 30 \\ x = 10[/tex]

then

TU=6, OL=12

Answer:

Simplifying

c + -2 = 3c + 14

Reorder the terms:

-2 + c = 3c + 14

Reorder the terms:

-2 + c = 14 + 3c

Solving

-2 + c = 14 + 3c

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add '-3c' to each side of the equation.

-2 + c + -3c = 14 + 3c + -3c

Combine like terms: c + -3c = -2c

-2 + -2c = 14 + 3c + -3c

Combine like terms: 3c + -3c = 0

-2 + -2c = 14 + 0

-2 + -2c = 14

Add '2' to each side of the equation.

-2 + 2 + -2c = 14 + 2

Combine like terms: -2 + 2 = 0

0 + -2c = 14 + 2

-2c = 14 + 2

Combine like terms: 14 + 2 = 16

-2c = 16

Divide each side by '-2'.

c = -8

Simplifying

c = -8

Step-by-step explanation:

Answer:

1,600

Step-by-step explanation:

pls brainliest plss

Answer: See explanation

Step-by-step explanation:

Do you mean the greatest common factor (GCF), or the lowest common multiple (LCM).

If you mean GCF, then it is 1 because 7 is a prime number and has two facotrs (1 and itself) and since 9 isn’t divisible by 7, the GCF must be 1.

If you mean the LCM, the answer is 63. Using prime factorisation, we find the lowest prime factor of both numbers:

9 = 3^3

7= 7^1

Then, we multiply these together to give 63.

You cannot have a GCM, because you can’t find a greatest common multiple as numbers go on forever.

I hope this helps!

Answer:

1) [tex]y-6=-\frac{2}{3} (x-1)[/tex] and 2) [tex]y=-\frac{2}{3} x+\frac{20}{3}[/tex]

Step-by-step explanation:

Ikr the bots are annoying.

Point-slope form is written as: [tex]y-y_1=m(x-x_1)[/tex]

Slope intercept form is written as: [tex]y=mx+b[/tex]

We also need to find the slope before putting it in this form, which can be done by [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

1) Points given are (1,6) and (-2,8)

Slope: [tex]m=\frac{8-6}{-2-1} =-\frac{2}{3}[/tex]

You can choose either of the two points to put into the formula. I just chose (1,6)

Answer: [tex]y-6=-\frac{2}{3} (x-1)[/tex]

2) Same points as before and we have the same slope as before. All we need is to find the y intercept which is our b in the equation. You can easily do this by plugging in a point and solving for b. I will choose point (1,6) again.

[tex]6=-\frac{2}{3} (1)+b[/tex]

[tex]6=-\frac{2}{3} +b[/tex]

[tex]6+\frac{2}{3}=-\frac{2}{3} +\frac{2}{3} +b[/tex]

[tex]b=6+\frac{2}{3}=\frac{20}{3}[/tex]

Answer: [tex]y=-\frac{2}{3} x+\frac{20}{3}[/tex]

Answer:

Step-by-step explanation:

I Hope This Help

Answer:

hERE

Step-by-step explanation: