Help please! What are the first 4 terms of the arithmetic sequence in the graph?

If the gradients are not the same, then there will be a point, which intersects. That contradicts the statement that theclines have no points in common.

Step-by-step explanation:

Parallel lines are lines that have the same gradient.

Because parallel lines have a fixed distance between each other,it means they will never meet, no matter how long they are extended.

Since parallel lines have the same slope by definition, they will never intersect. Parallel lines continue, literally, forever without touching.

Prove:

Suppose that there are two lines, line l and line m, which have no points in common. Both lines are in the same plane.

If the gradients are not exactly the same, then there will be a point, which intersects. That contradicts the first statement (which says l and m have no points in common), therefore the gradients must be the same in order for l and m to have no points in common.

Answer:

4

Step-by-step explanation: 2x2=4

Answer:

4

Step-by-step explanation:

Answer:

x = 350 gallons (amt of 60% solution that must be added)

Step-by-step explanation:

Amt of 60% solution = x gallons ; Amt of active ingredient = 0.6x gallons

Amt of 15% solution = 100 gallons ; Amt of active ingredient = 15 gallons

Amt of 50% solution = 100+x gallons ; Amt of active = 50 + 0.5x gallons

EQUATION:

Active ingredient: 0.60x + 15 = 50 + 0.50x

0.10x = 35

x = 350 gallons (amt of 60% solution that must be added)

Answer:

A and B

Step-by-step explanation:

As  per above definition, A and B polynomials have coefficients 1 or 3, so are prime polynomials.

C and D polynomials have coefficient of 6 which can be further factored

A. x^4 + 3x^2 – x^2 – 3

B. x^4 – 3x^2 – x^2 + 3

C. 3x^2 + x – 6x – 2

D. 3x^2 + x – 6x + 3

Answer:

Alex can only draw a rectangle with an area of 11 cm²

The reason for the answer is that 11 is a prime number

Step-by-step explanation:

We are told that Alex is drawing rectangles with different areas on a centimeter grid, and he can draw 3 different rectangles with an area of 12 cm²

We have the minimum grid length of centimeters = 1 cm, since we assume that only integers can be used.

That is to say:

12 = 1 x 12

12 = 2 x 6

12 = 3 x 4

These are the 3 different rectangles with an area of 12 cm²

Now we have to find how many rectangles Alex could draw with an area of 11 cm²

11 = 1 x 11

Therefore, only one factorization is possible. Which means that you can only draw a rectangle with an area of 11 cm²

The reason for the answer is that 11 is a prime number, which means only the common factor of 1 and the number itself, that is, 11.

Answer:

62.8

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

[tex]h(x)= x^2 + 6x + 7 \\ = x^2 + 2.3.x + {3}^{2} - {3}^{2} + 7 \\ = (x + 3)^{2} - 9 + 7 \\ \purple { \bold{h(x)= (x + 3)^{2} - 2 }}[/tex]

The positive number but a negative result would be :

C. Irene is scuba diving at –30 feet. She swims 10 feet toward the surface to watch a school of fish.

The positive value is she swam 10 feet up to the surface, but she is still below the surface, which would be a negative result.

The situation that would involve a change that is from a positive number but ended in a negative number is option C.

This option tells us that at the negative number she was 30 feet below the surface of the water, while at positive number she was 10 feet up the water surface.

This is a number that is greater than 0.

This is a number that is less than 0.

Read more on positive and negative numbers here:

https://brainly.com/question/13831313

Step-by-step explanation:

answer in photos

here m is intercept

Answer:

y  =  3÷5x−2

Step-by-step explanation:

the answer is y  =  3÷5x−2

Answer:

[tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Total red haired students = 15+5 = 20

Boys = 15

Fraction:

=> [tex]\frac{15}{20}[/tex]

In simplest form:

=> [tex]\frac{3}{4}[/tex]

Answer:

false

Step-by-step explanation:

the degree is found by looking at the term with the highest exponent of the variable..

Answer:

It's False..........

Answer:

A

Step-by-step explanation:

PLS GIVE BRAINLIEST!

Answer:

y= 2/3x - 2

Step-by-step explanation:

b is were the line crosses the y intercept so its -2

and the slope is 2/3x

hope this helps:)

Answer:

5√2

Step-by-step explanation:

√50=√25*2=√5^2*2=5√2

Answer:

5[tex]\sqrt{2}[/tex]

Step-by-step explanation:

[tex]\sqrt{50}[/tex] is equal to [tex]\sqrt{25}[/tex] · [tex]\sqrt{2}[/tex]

This can be simplified to 5[tex]\sqrt{2}[/tex]

Answer:

2 12 1/2 inches

Step-by-step explanation:

1: 1 1/4 + 1 1/4

2: 1+1 = 2; 1/4 + 1/4 = 2/4

3:  2 2/4

Answer:  2 2/4

Hope this helps.

Answer:

2 12 1/2 inches

Step-by-step explanation:

Hope it helps <3

Answer:

hope this is correct

Answer:

1/2

Step-by-step explanation:

in point slope form (y-h) = slope(x-k)

The equation in the slope-intercept form will be y = x/2 + 7/2. Then the slope of the equation is 1/2.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The linear equation is given below.

y - 4 = 1/2 (x - 1)

Convert the equation into a slope-intercept form. Then we have

y - 4 = 1/2 (x - 1)

y - 4 = x/2 - 1/2

y = x/2 - 1/2 + 4

y = x/2 + 7/2

The equation in the slope-intercept form will be y = x/2 + 7/2. Then the slope of the equation is 1/2.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

Answer:

7 students in each van and 52 students in each bus.

Step-by-step explanation:

v = no of students in van, b = no of student in bus

High school A ⇒ 3v + 6b = 333 ---------- Equation (1)

High school B ⇒ 11v + 6b = 389 ------------ Equation (2)

Solve equation (1) & (2) simultaneously :

11v + 6b = 389

3v + 6b = 333

----------------------- MINUS

8v + 0 = 56

v = 56 / 8

v = 7

Put v = 7 into Equation (1) to get b:

3v + 6b = 333

3 (7) + 6b = 333

21 + 6b = 333

6b = 312

b = 312 / 6

b = 52

So there are 7 students in each van and 52 students in each bus.

Answer:

19 x 5

Step-by-step explanation:

[tex]19 \times 5 = 95[/tex]

Answer:

6

Step-by-step explanation:

2(3)=6

Answer:6

Step-by-step explanation:

2x3 is 6

Answer:

840

Step-by-step explanation:

Lets split the shape in 2 shapes which gives us 2 rectangular prisms

1st shape is the one stcking upward: 12*5*6=360

2nd shape: (we must subtract 5 from 15 because we used that for the other shape and hat wouldn't give us the correct answer) 10*8*6=480

480+360=

840

Answer:

904

Step-by-step explanation:

According to PEMDAS, we must multiply 100 and 9 first, which gets us 900. Then divide 12 by 2, which gets us six. 900 - 2 + 6 = 898 + 6 = 904.

Answer:

904

Step-by-step explanation:

100 * 9 = 900 -2 =898 +12/2 →898+6= 904

12/2 = 6

Have a good day and stay safe!

Answer:

Percentage of people with IQ greater than 120 is 84.134%

Step-by-step explanation:

First thing we do here is to calculate the

z-score

Mathematically;

z-score = (x-mean)/SD

here, x = 120, mean = 100 while SD = standard deviation = 20

z-score = (120-100)/20 = 20/20 = 1

The probability we want to calculate is;

P(x > 120) or P(z >1)

we proceed to use the standard score table to get this;

From the standard score table ;

P(z >1) = 0.84134

which is in percentage = 84.134%

Answer:

y = -16.9

Step-by-step explanation:

→Add 0.8y to both sides:

-0.8y + 5.49 = -19.86 - 2.3y

5.49 = -19.86 - 1.5y

→Add 19.86 to both sides:

25.35 = -1.5y

→Divide both sides by -1.5:

-16.9 = y

Answer:

[tex] \boxed{y = - 16.9} [/tex]

Step-by-step explanation:

[tex] = > - 0.8y + 5.49 = - 19.86 - 2.3y \\ \\ = > - 0.8y + 2.3y + 5.49 = - 19.86 \\ \\ = > 1.5y + 5.49 = - 19.86 \\ \\ = > 1.5y = - 19.86 - 5.49 \\ \\ = > 1.5y = - 25.35 \\ \\ = > y = - \frac{25.35}{1.5} \\ \\ = > y = - 16.9[/tex]

Answer:

Hi!!

Step-by-step explanation:

7 = chewing gum

6 = mints

2 = chocolate

Answer:

number of packs of chewing gum is 7

number of mints  is 6

number of chocolate bars is 2

Step-by-step explanation:

number of packs of chewing gum → x,  cost 6¢

number of mints → y = x-1 =3z,  cost  3¢

number of chocolate bars → z = y/3 = (x-1)/3, cost 10¢

put in equation 6x + 3y +10z = 80 plug in term of x

6x +3(x-1) +10((x-1)/3) =80 multiply each side by 3

18x +9(x-1) +10(x-1) =240 distribute

18x+9x-9+10x-10 =240 combine like terms

37x-19 = 240 add 19 in each side

37x =259

x = 7

plug into y = x-1 = 7-1 = 6 so y=6

and  z = y/3 =6/3 =2 so z = 2

Answer:

14

Step-by-step explanation:

a = 3

b = 4

[tex]b(a + 4)-3(3 + 2)+3 - 2\\a = 3,b=4\\4(3+4)-3(5)+3 - 2\\4(7)-15+3 - 2\\28-14\\\\14[/tex]

so the right answer is 31.4 cm(option C)

please see the attached picture for full solution

Hope it helps

Good luck on your website

Answer:

C. 31.4 cm

Step-by-step explanation:

→The formula for finding the circumference of a circle is:

C = 2πr

→However, it states that we use 3.14 for π:

C = 2(3.14)r

→The "r," is the radius, which is a straight line from the perimeter to the center. In this case, it is already given to us as 5 cm.

C = 2(3.14)(5)

C = 31.4