Can somebody please help me answer this question?

Answer:

1) 5/7

2) (21, 5)

Step-by-step explanation:

1) The slope of the line passing through the points (7, 5) and (21, 15) is

[tex]\frac{15-5}{21-7} =\frac{10}{14}=\frac{5}{7}[/tex]

because slope is (difference of y)/(difference of x)

the first option is correct

2) 1/3 of 5/7 is 5/21.

The line will be in the form of

y = 5/21 x + b where b is the y-intercept.

Find the complete equation by plugging in (0,0) since it passes thorugh the origin.

0 = 5/21 (0) +b

0=0+b

b=0

The equation: y=5/21 x

let's check each option by plugging in.

y= 5/21 (3)= 5/7

y is not 5 but 5/7

y= 5/21 (3)= 5/7

y is not 7 but 5/7

y= 5/21 (21) = 5

y is 5, which matches with the answer choice!!!

y= 5/21 (21) = 5

y is 5, not 7.

The third option is correct

answer is 15

cuz its absolute value

Answer:

x=±15

Step-by-step explanation:

When we have absolute value equations, the first step is always to isolate the absolute value. This has already been done.

We know that a quantity in absolute value can be negative or positive, so in order to solve for it, we take the quantity inside the expression--in this case x--and set it equal to negative OR positive of the term on the right side. In this problem, this step would look like this:

[tex]x=-15[/tex] (the original right-side quantity)

and you would also need to solve for

[tex]x=15[/tex]

So [tex]x[/tex] can be ±15

Answer:

40m???

Step-by-step explanation:

Answer:

(1, 3, -2) is the answer

Answer:

we need a picture

Step-by-step explanation:

The solution is, First option and Third option. i.e. they are, "adjacent angles" & complementary angles",

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

here, we have,

You can observe in the figure that the angle 1 and the angle 2 have a common vertex and a common side.

These kind of angles are known as "adjacent angles".

You can observe that the intersection of the lines forms four equal anles which are right angles (Angles of 90 degrees).

Therefore, the angles 1 and 2 and also "complementary angles", because the sum of them is 90 degrees.

Then, the answers are the first option and the third option.

To learn more on angle click:

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Answer:

18 minutes

Step-by-step explanation:

Given distance (D) and average speed (S) then time (T) is calculated as

T = [tex]\frac{D}{S}[/tex] = [tex]\frac{15}{50}[/tex] = [tex]\frac{3}{10}[/tex] hour

[tex]\frac{3}{10}[/tex] hour = [tex]\frac{3}{10}[/tex] × 60 min = 3 × 6 = 18 mins

9514 1404 393

Answer:

  A) 504

  B) 8

Step-by-step explanation:

The statement of proportionality can be written as the equation ...

  m = kr²

Then we can find k from ...

  k = m/r² = 14/2² = 7/2

That is, ...

  m = (7/2)r²

__

Using this relation, we can find m for r=12:

  m = (7/2)·12² = 7·72

  m = 504 . . . for r = 12

__

And, we can use the same equation to solve for r when m=224.

  224 = 7/2·r²

  r² = 64

  r = √64

  r = 8 . . . for m = 224

Answer:

we have an increase of 32.5 million every 4 years.

Then the increase per year is:

32.5 mill/4y = 8.125 million per year.

then if we define the variable x, as the number of years, we can write the linear equation as:

y = x*8.125 million/year + b

where b is the initial amount, that is not shown in the question, so i will just leave it like that.

You can see that when we have x = 4 years we have:

y(4 years) = (4 years)*(8.125 million/year) + b = 32.5 million + b.

Then after 4 years, we have an increase of 32.5 million, that is the thing we knew at the beginning.

Answer:

Step-by-step explanation:

A

The probability of randomly selecting a daisy from Bouquet S is equal to the probability of randomly selecting a daisy from Bouquet T

Option C is the correct answer.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

The probability of randomly selecting a daisy from Bouquet S is equal to the probability of randomly selecting a daisy from Bouquet T.

Both bouquets have the same type of flower (daisies) and Leticia has the same number of daisies in each bouquet (13).

Therefore,

The probability of randomly selecting a daisy from Bouquet S is the same as the probability of randomly selecting a daisy from Bouquet T.

Which is 1/13.

(since there are 13 daisies in each bouquet and we assume that each daisy is equally likely to be selected).

Thus,

The probability of randomly selecting a daisy from Bouquet S is equal to the probability of randomly selecting a daisy from Bouquet T

Learn more about probability here:

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Answer:

Solving [tex]8x+6\leq9x+12[/tex] we get [tex]\mathbf{x\geq -6}[/tex]

Option D is correct information.

Step-by-step explanation:

We need to solve [tex]2(4x+3)\leq 3(3x+4)[/tex]

Multiply the terms:

[tex]2(4x+3)\leq 3(3x+4)\\8x+6\leq9x+12[/tex]

Subtracting 6 from both sides

[tex]8x+6-6\leq9x+12-6\\8x\leq9x+6[/tex]

Subtracting 9x from both sides

[tex]8x-9x\leq 9x+6-9x\\-x\leq 6[/tex]

Divide both sides by -1 and reversing the inequality

[tex]x\geq -6[/tex]

So, solving [tex]8x+6\leq9x+12[/tex] we get [tex]\mathbf{x\geq -6}[/tex]

Option D is correct information.

Answer:

y = 3x - 10

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 3 , thus

y = 3x + c ← is the partial equation

To find c substitute (1, - 7) into the partial equation

- 7 = 3 + c ⇒ c = - 7 - 3 = - 10

y = 3x - 10 ← equation of line

Answer:

[tex]x=-3\\y=8(-3)^2\\y=8(9)\\y=72[/tex]

[tex]x=4\\y=8(4)^2\\y=8(16)\\y=128[/tex]

128-72=56

average rate of change is 56

Step-by-step explanation:

Plz let me know if im right

Answer:

8 is the average rate of change

Step-by-step explanation:

Plugin -3 and 4 in for x.

y = 8(-3)^2

y = 72

y = 8(4)^2

y = 128

128-72/4-(-3) = the average rate of change

56/7=8

Answer:

x-intercept(s):

(−54,0)

y-intercept(s):  (0,−1)

Step-by-step explanation:

Answer:it’s d and yes

Step-by-step explanation:

Answer:

Only can print 20 page when it's half page

full page he only can print 10

Step-by-step explanation:

40x=800

800/40 = 20

75x=800

10 page only

Answer (part b):

20 half-page advertisements

Step-by-step explanation:

Michael has $800 and the company charges $40 per half-page advertisements. So you can just do 800/40 becuase you need to divide what is being charged ($40) by what Michael has ($800) and you’ll get 20. That’s okay because he said he can purchase 13 advertisements, but these are half-page advertisement. So it’s really just 10 full-page advertisements.

Answer (part c):

About 10 full-page advertisements

Step-by-step explanation:

Again, Michael has $800 and the company charges $75 per full-page advertisements. So you can just do 800/75 becuase you need to divide what is being charged ($75) by what Michael has ($800) and you’ll get 10.6, but the 6 is repeating. You will have to round down to 10 because if you round up, then he won’t have enough money to buy 11.

Hope this helps and answers your question :)

Answer:

dwdwdadwdawddasd

Step-by-step explanation:

The drawing is missing, so i have attached it.

Answer:

24 yards

Step-by-step explanation:

From the image, we can see that AB and DE are both adjacent sides of their respective triangles.

While, CE and BC are both opposite sides of their respective triangles

Now, from your side, x is the distance to the island.

So, from ratio of similar triangles, we can find x.

Thus;

8/x = 3/9

Cross multiply to get;

8 × 9 = 3x

3x = 72

x = 72/3

x = 24

Thus, distance from your side to the island is 24 yards

Answer:

a=1

b=2

c=-8

y-intercept: (0, -8)

Line of symmetry calculation: x = -2/(2*1)

Line of symmetry: -1

Opens up because a > 0

Minimum

Vertex: (-1, -9)

Domain: -∞ < x < ∞ (no domain constraints)

Range: [-9, ∞]

Step-by-step explanation:

Answer:

Add their absolute values and keep the sign of the integers

Step-by-step explanation:

The problem can be understood with the help of an example.

Let the first number be 2 and other number be 3. If we want to add these numbers, it will be like :

Sum = 2 + 3 = 5

We can see that when we add these two numbers, we find that we add their absolute values while the sign of the integers are same.

So, if we want to find the sum of integers with the same sign, we have to add their absolute values and keep the sign of the integers.

Hence, the correct option is (a).

Answer:

52 and 54

Step-by-step explanation:

These two numbers are consecutive, and 52+54=106.

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

Work Shown:

x = some even integer

x+2 = next even integer after x

x+(x+2) = 2x+2 = sum of the consecutive even integers

2x+2 = 106

2x = 106-2

2x = 104

x = 104/2

x = 52

x+2 = 52+2 = 54

The two consecutive even integers are 52 and 54

Check: 52+54 = 106

Answer:

10.

Step-by-step explanation:

This is a parallelogram so the pair of internal angles add up to 180 degrees.

So 120 + 5x + 10 = 180

5x = 180 - 120 - 10 =  50

x = 50/5

x = 10.

Answer:

See below

Step-by-step explanation:

a)

Day 1

Day 10

Day 20

b)

From the rate change we see:

So we see 1 min increase per twice the distance increase

Total time it takes:

Answer:

wish i could help

Step-by-step explanation:

1

1

2

2

s

Answer:

21.9 is the answer rounded to the nearest hundred.