The line that passes through (2, 6) and (9, 4)

Answer:

An equation that represents this path is described below in detail.

Step-by-step explanation:

The equalization that describes the pathway of the swimmer to the shoreline can be described in the slope-intercept pattern, given as.

Where,

Slope (m) = the adverse reciprocal of the incline of the shoreline, considering it is perpendicular to it = ??

y-intercept (b) = ??

Find the incline of the shoreline using, (0, 1) and (4, 4):

.

Considering the incline of the shoreline is ¾. The incline of the pathway of the swimmer would be the adverse reciprocal of ¾.

The adverse reciprocal of ¾ = -⁴/3.

The incline of the swimmer's path = -⁴/3.

Applying the coordinate of the position of the swimmer (6, 1), and the incline of the way, we can find b, the y-intercept of the way.

Substitute x = 6, y = 1 and m = -⁴/3 into y = mx + b, to find b.

Thus:

1 = (-⁴/3)(6) + b

1 = -8 + b

Add 8 to both sides

1 + 8 = b

9 = b

b = 9

Substitute m = -⁴/3 and b = 9 into y = mx + b.

Answer:

A

Step-by-step explanation:

Answer:

The answer is A/or 4x + 89.95 = 628.35; x = $134.60

Step-by-step explanation:

Answer:

7$

Step-by-step explanation:

i took the test

Answer:

They will both have paid the same amount after 4 months

Step-by-step explanation:

Assume that they will pay the same amount after x months

∵ Billy pays $30 for his new phone

∵ He only pays $12.50 each month

→ Find how much he will pay in x month

∴ He will pay → 30 + 12.50x

∵ Annie got her new phone for free

∵ She only pays $20 a month

→ Find how much she will pay in x month

∴ She will pay → 20x

∵ They will pay the same amount

→ Equate their expressions above

∴ 20x = 30 + 12.50x

→ Subtract 12.50x from both sides

∵ 20x - 12.50x = 30 + 12.50x - 12.50x

∴ 7.50x = 30

→ Divide both sides by 7.50

∴ x = 4

∴ They will both have paid the same amount after 4 months

Answer:

G.) 6

Step-by-step explanation:

The way the question is worded leads me to believe you're looking for the range. In this case, it is 6, because 12 (the greatest valued data point) minus 6 (the least valued data point) is 6.

Answer:

Step-by-step explanation:

You can identify similar polygons by comparing their corresponding angles and sides. As you see in the following figure, quadrilateral WXYZ is the same shape as quadrilateral ABCD, but it’s ten times larger (though not drawn to scale, of course). These quadrilaterals are therefore similar.

similar polygons: For two polygons to be similar, both of the following must be true:

Corresponding angles are congruent.

Corresponding sides are proportional.

To fully understand this definition, you have to know what corresponding angles and corresponding sides mean. (Maybe you’ve already figured this out by just looking at the figure.) Here’s the lowdown on corresponding. In the figure, if you expand ABCD to the same size as WXYZ and slide it to the right, it’d stack perfectly on top of WXYZ.

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

5) Go....

[tex]17 = 4x + 1[/tex]

[tex]4x + 1 = 17[/tex]

Subtract sides 1

[tex]4x + 1 - 1 = 17 - 1[/tex]

[tex]4x = 16[/tex]

Divide sides by 4

[tex] \frac{4x}{4} = \frac{16}{4} \\ [/tex]

[tex]x = 4[/tex]

_________________________________

6) Go...

[tex]2x - 2 = 16[/tex]

Add sides 2

[tex]2x - 2 + 2 = 16 + 2[/tex]

[tex]2x = 18[/tex]

Divide sides by 2

[tex] \frac{2x}{2} = \frac{18}{2} \\ [/tex]

[tex]x = 9[/tex]

_________________________________

7) Go...

[tex]95 = 7x + 18[/tex]

[tex]7x + 18 = 95[/tex]

Subtract sides 18

[tex]7x + 18 - 18 = 95 - 18[/tex]

[tex]7x = 77[/tex]

Divide sides by 7

[tex] \frac{7x}{7} = \frac{77}{7} \\ [/tex]

[tex]x = 11[/tex]

_________________________________

8) Go...

[tex]78 + 9x - 6 = 180[/tex]

[tex]9x + 72 = 180[/tex]

Subtract sides 72

[tex]9x + 72 - 72 = 180 - 72[/tex]

[tex]9x = 108[/tex]

Divide sides by 9

[tex] \frac{9x}{9} = \frac{108}{9} \\ [/tex]

[tex]x = 12[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

y=-3x+12

Step-by-step explanation:

9=-3(1)+b

9=-3+b

9+3=3-3+b

12=b

Answer:

Each point does NOT ALWAYS give the same amount of tickets.

11 point would most likely give 90 tickets.

Step-by-step explanation:

2 points give 18 tickets = 9 tickets per point

3 points give 27 tickets = 9 tickets per point

9 points give 72 tickets = 8 tickets per point

You can add the 2 point value with the 9 point values to find out many point it takes to get to 90 tickets.

18(2 tickets) + 72(9 tickets) = 90(11 tickets)

Answer:

Im, not as sure, but I think it's 10 points!

Step-by-step explanation:

If you divide the tickets by the points, they always come up as a whole number ( 9, 9 , then 8.) To be honest, I was a little stuck, but after messing around,, if you divide 90 by 10, you get a whole number, 9. so I was just thinking this would be right? Maybe? The Points keep increasing, so that follows that pattern...

Honestly, I hope this helps, but I'm super sorry if that is wrong!!

Step-by-step explanation:

25+50x=25+45x

then the answer you get from that you multiply it by 4 sorry if incorrect

Answer:

B 1/9

Step-by-step explanation:

Because there are 6 sides of a die then your adding 3 to the 6

I think. (please dont hate me if im wrong!!)

The probability that if we will roll a 4, then rolling next a number less than 3 is given by: Option D: 1/18

For two events A and B:

The chain rule states that the probability that A and B both occur is given by:

[tex]P(A \cap B) = P(A)P(B|A) = P(B)P( A|B)[/tex]

When one event's occurrence or non-occurrence doesn't affect occurrence or non-occurrence of other event, then such events are called independent events.

Symbolically, we have:

Two events A and B are said to be independent iff we have:

[tex]P(A \cap B) = P(A)P(B)[/tex]

Then A and B are independent as their outcomes are not directly related or prone to affect each other assumingly.

Thus, probability of rolling a 4, then rolling a number less than 3 is:

[tex]P(A \cap B) = P(A)P(B)[/tex]

Total number of outcomes for any roll = n(S) = 6

Favorable number of outcomes for event A = n(A) = 1 (since a 4 can occur in 1 way out of 6 results)

Thus, P(A) = n(A)/n(S) = 1/6

And, favorable number of outcomes for event B = n(B) = 2 (since numbers less than 3 are only 1 and 2, so two outcomes possible)

Thus, P(B) = n(B)/n(S) = 2/6

Hence, probability of rolling a 4, then rolling a number less than 3 is:

[tex]P(A \cap B) = P(A)P(B) = \dfrac{1}{6} \times \dfrac{2}{6} = \dfrac{2}{36} = \dfrac{1}{18}[/tex]

Therefore, the probability that if we will roll a 4, then rolling next a number less than 3 is given by: Option D: 1/18

Learn more about probability here:

brainly.com/question/1210781

Answer: x < 3/5 y + -9/5

Step-by-step explanation:

is provided below :)

Answer:

See Explanation

Step-by-step explanation:

Missing in the question is the slope of line r.

We'll assume that the slope (m) of line r is

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

When two lines are perpendicular, their slope are related in:

[tex]m_2 = -1/m_1[/tex]

[tex]m_2 = -1/\frac{-1}{3}[/tex]

[tex]m_2 = -1 * -3[/tex]

[tex]m_2 = 3[/tex]

The equation of the (3,-6) is:

[tex]y - y_1 = m(x - x_1)[/tex]

Where

[tex](x_1,y_1) = (3,-6)[/tex]

So:

[tex]y - (-6) = 3(x - 3)[/tex]

[tex]y +6 = 3x - 9[/tex]

Make y the subject

[tex]y = 3x - 9 - 6[/tex]

[tex]y = 3x - 15[/tex]

Please note that this answer might be incorrect to you based on the assumed value. However, the step will guide you in solving similar questions

Answer:

B

Step-by-step explanation:

Answer:

30.96 mm²

Step-by-step explanation:

area of square: side×side

12×12= 144 mm²

area of circle: πr²

π×6²= 113.01 mm²

area of shaded region: 144-113.01 = 30.96 mm²

hope it helps!!!

Answer: i think A, but might not be sry

Step-by-step explanation:

Answer:

keith is poor

Step-by-step explanation:

sorry

Answer:

150,250

Step-by-step explanation:

Hope this helps!

Answer:

12.

Step-by-step explanation:

According to Pythagorean's Theorem, x^2+25=169. If you subtract 25 from both sides, you might get x^2=144. You then square both sides and get that x=12.

Answer:

the price of the pair of shoes are $57.60

Step-by-step explanation:

So you first need to find out what 10% is in $64 so your going to multiply 0.1 (10% in decimal form is 0.1 ) by 64 to get 10% of the original price.

64 * 0.1 = $6.40

so now we are going to subtract $6.40 from $64 for the sale price:

$64.00 - $6.40 = $57.60

so the sale price is $57.60

Answer:

484 students

Step-by-step explanation:

The event coordinator asks you to determine how many students participated in the track-and-field day. The total number of students in seventh and eighth grade combined is 584; 5/8 of them are seventh graders and 3/8 of them are eighth graders. If 4/5 of the seventh graders participated in track-and-field day and 7/8 of the eighth graders participated, about how many total students participated? Describe the process you used to find your answer.

Solution:

The total number of students = 584

Number of seventh grade students = 5/8 * total number of students = 5/8 * 584 = 365 students

Number of eighth grade students = 3/8 * total number of students = 3/8 * 584 = 219 students

Number of the seventh graders that participated in track-and-field day = 4/5 * 365 = 292 students

Number of the eighth graders that participated in track-and-field day = 7/8 * 219 = 191.625 students ≈ 192 students

Total students that participated = 292 + 192 = 484 students

Answer:

Answer:

484 students

Step-by-step explanation:

The total number of students = 584

Number of seventh grade students = 5/8 * total number of students = 5/8 * 584 = 365 students

Number of eighth grade students = 3/8 * total number of students = 3/8 * 584 = 219 students

Number of the seventh graders that participated in track-and-field day = 4/5 * 365 = 292 students

Number of the eighth graders that participated in track-and-field day = 7/8 * 219 = 191.625 students ≈ 192 students

Total students that participated = 292 + 192 = 484 studentsStep-by-step explanation:

I know i am in the future

Answer:

X=16

Step-by-step explanation:

6x=32+64

6x= 96

X= 16

Answer:

Step-by-step explanation:

Answer:

9 shirts and 10 caps

Step-by-step explanation:

Buying one t shirt costs 20 dollars, and one cap would cost 12 dollars. If Paxton bought one cap and one shirt, that would cost 32 dollars. If we multiply that by 9, we get 288. So Paxton can buy 9 shirts and 9 caps with 288 dollars. Paxton has 12 dollars left, so Paxton can buy one more cap to entirely spend the budget.

Answer:

23

hope it helps u :)

Step-by-step explanation:

2x+13

x=5

=2×5+13

=10+13

=23

Answer:

23

Step-by-step explanation:

When I was first introduced to algebra, One thing that had me stumped for the longest time is terms like "2x".  This is because nobody explained to me that saying "2x" and similar terms implies a multiplication.  so "2x" actually means "2 × x".  I only mention this because I thought maybe it would help.

To solve it then, all we need to do then is think of "x" as meaning five, and it being multiplied by 2

We're given this:

[tex]2x + 13[/tex]

which you can also read as this:

[tex]2 \times x + 13[/tex]

We're told x equals five, so we can say:

[tex]2 \times 5 + 13[/tex]

Remember when solving this, that multiplication and division always come before addition and subtraction, so let's do the multiplication:

[tex]10 + 13[/tex]

and then add it up:

[tex]23[/tex]

So the final answer is twenty-three.

Answer:

99.40

Step-by-step explanation:

$71 * .4 = $28.40

$71 + $28.40 = 99.40

Answer:

The selling price would be $99.40