what ordered pair is a solution to the equation y= -2/3x + 9?
(-3/2, 10), (0, 10), (-1, 10 2/3), (2/3, 10)

Answer:

The right answer is Option 2:

[tex]y+6 = -\frac{3}{4}(x-2)[/tex]

Step-by-step explanation:

Point-slope form of equation of a line is given by:

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

Here m is slope of the line and (x1,y1) is the point from which the line passes.

Given

Slope = m = -3/4

Point = (x1,y1) = (2,-6)

We simply have to put these value into the general form of equation of line in point-slope form

[tex]y-(-6) = -\frac{3}{4}(x-2)\\y+6 = -\frac{3}{4}(x-2)[/tex]

Hence,

The right answer is Option 2:

[tex]y+6 = -\frac{3}{4}(x-2)[/tex]

Answer:

[tex]\displaystyle \csc(\cos^{-1}(x))=\frac{1}{\sqrt{1-x^2}}[/tex]

Step-by-step explanation:

Please refer to the attachment.

We have:

[tex]\csc(\cos^{-1}(x))[/tex]

First, we will let:

[tex]\cos^{-1}(x)=\theta[/tex]

Then:

[tex]x=\cos(\theta)[/tex]

So, the adjacent side of our triangle is x and the hypotenuse is 1.

Then by the Pythagorean Theorem, the opposite side is given by:

[tex]x^2+o^2=1^2[/tex]

So:

[tex]o=\sqrt{1-x^2}[/tex]

Going back, we have:

[tex]\csc(\cos^{-1}(x))[/tex]

Since arccos(x) is θ:

[tex]=\csc(\theta)[/tex]

Cosecant is the ratio of the hypotenuse over the opposite side. Therefore:

[tex]\displaystyle \csc(\theta)=\frac{1}{\sqrt{1-x^2}}[/tex]

Hence:

[tex]\displaystyle \csc(\cos^{-1}(x))=\frac{1}{\sqrt{1-x^2}}[/tex]

Answer:

A. (-2, 1)

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Our solution set is where the 2 equations intersect. According the the graph, the systems intersect at point (-2, 1). Therefore, our answer must be A.

Answer is:

A.

(-2, 1)

Answer:  25 ways.

Step-by-step explanation:

first we have  1,2,6. this can appear once.

4, can appear in twice.

[tex]= (3+2) * 5\\= 5*5\\= 25ways[/tex]

by not including itself, an appearing on the left side. one number can be written 25ways

Answer:

at 6 minutes and 8.25 minutes

Step-by-step explanation:

When the time reaches 6 minutes, the line touches 35mph. Same goes for 8.25 minutes.

Answer: a

Step-by-step explanation: edge 2020

Answer:

Ans 30 km per hour............

Answer:

No, it is not a function

Step-by-step explanation:

Here, we want to tell if the relation is a function

For the relation to be a function, each independent variable must be mapped to only a single dependent variable

So what this means is that one term of the independent side must be mapped to one term of the dependent side

From the question, we can see that -10 and -15 were both mapped to -10 which should not be so

This means that the relation is not a function

Answer:

A

Step-by-step explanation:

The product mean multiplication

Answer:

100*150=15000 calories

Step-by-step explanation:

100 times 150 is 15000 because you are multipling 2 people

I don't know if it is correct

just check and if it isn't then check some one elses work.

Answer:

Step-by-step explanation:

Sum of acute angles equals to 90°

The smallest angle is 15°

Answer:

The equivalent expression is cosec2x

option B

Step-by-step explanation:

The correct question is ;

which expression is equivalent to sec2xcot2x?

Solution

Mathematically;

sec2x = 1/cos2x

cot2x = 1/tan2x

so we have

1/cos2x * 1/tan2x

recall that the product of tan and cos is sin

from the formula;

tan = sin/cos

so we have our final answer as;

1/sin2x

Kindly recall that ;

sin = 1/cosec

so therefore;

1/sin2x = csc2x

Answer: X=11

thank you!!! happy holidays!! :}

Answer:  x=11

Step-by-step explanation:  3x+42=75

Step 1: Subtract 42 from both sides.

3x+42−42=75−42

3x=33

Step 2: Divide both sides by 3.

3x

3

=

33

3

x=11

Answer:

Green grapes are less expensive.

Step-by-step explanation:

5.08/2 = 2.54

Multiply that by 5

You get $12.70 for 5 bags.

Answer:

So a proportional relationship is one in which there is a . For example if you know that somebody makes $10 per hour per every one hour. This is a proportional relationship and we can use an equation to represent this.

Answer:

[tex]644,000,000\ cm^2[/tex]

Step-by-step explanation:

[tex]We\ are\ given:\\Area\ of\ the\ map\ in\ m^2=64400\ m^2\\Hence,\ all\ we\ just\ have\ to\ do\ is\ to\ convert\ it\ into\ cm^2.\\Hence,\\Lets\ derive\ the\ formula\ of\ conversion\ from\ m^2\ to\ cm^2\ and\ vice\ versa.\\We\ know\ that,\\1m=100\ cm\\By\ squaring\ both\ the\ sides\ we\ get,\\(1m)^2=(100cm)^2\\Hence,\\1m^2=100^2\ cm^2\\1m^2=10,000\ cm^2\\Just\ in\ case\ you\ wanna\ convert\ cm^2\ to\ m^2,\\1m^2=10,000\ cm^2\\1cm^2=\frac{1}{10,000} m^2\\[/tex]

[tex]Here,\\As\ the\ area\ of\ the\ field\ in\ m^2=64,400\ m^2\\ As\ the\ area\ of\ the\ field\ in\ cm^2=64,400\ m^2*10,000=644,000,000\ cm^2[/tex]

Answer:

m=4

Step-by-step explanation:

To find the average rate of change, you have to calculate the change in y over x which gives you 4

Answer:

maybe 15 is the answer so

Answer:

x = 75°

Step-by-step explanation:

The angle at the centre is twice the angle on the circle subtended on the same arc.

The angle at the centre is

360° - (285 - x)

= 360 - 285 + x

= 75 + x

Thus

x = [tex]\frac{1}{2}[/tex] (75 + x) ← multiply both sides by 2 to clear the fraction

2x = 75 + x ( subtract x from both sides )

x = 75°

Answer:

12 males

Step-by-step explanation:

3:8= 8 is for male

32÷8= 4

4×3= 12 males

hope it helps!

Answer:

Awwww

Step-by-step explanation:

Thank you! I hope you know that as well :). I really needed that today so thank you

Answer:

$360

Step-by-step explanation:

Let the amount that she earned on the paycheck be represented by x

Hence,

15% of x = $54

Therefore:

15/100 × x = $54

15x/100 = $54

Cross Multiply

15x = $54 × 100

15x = $5400

x = $5400/15

x = $360

Therefore, the amount that she earned on that paycheck = $360

Answer:

The polynomial is ;

x^3 -2x^2 -13x - 10

Step-by-step explanation:

Given the zeros, we set them to equal zero so as to get the linear factors

Mathematically, that will be as follows;

x = -2

x + 2

x = 5

x-5

x = -1

x + 1

So we have the polynomial as;

(x + 1)(x + 2)(x-5)

= (x -5)(x^2 + 3x + 2)

= x^3+ 3x^2 + 2x -5x^2 -15x - 10

= x^3 -2x^2 -13x - 10

Answer:

I think it's 158

Step-by-step explanation:

Answer:

158

Step-by-step explanation:

The formula for the area of a rectangle is A = bh.

Answer:

The correct answer is;

A(n) = 12 + (n-1)11; 166 millimeters

Step-by-step explanation:

Here, we want to write a rule representing the growth

From the question, we can see that the rate of growth is ;

34-23 = 23-12 = 11

This means it grows at a rate of 11 mm per day

So on the 15th day, its height will be;

We can have an arithmetic progression here, with 12 as the first term and 11 as the common difference

The nth term An can be represented as;

An = a + (n-1)d

where a = 12 mm , n = 15 and d = 11 mm

Thus, we have

An = 12 + (15-1)11

An = 12 + 154

An = 166 mm

Answer:

Average breath hold time by hippo under water ≥ 5 minutes

Step-by-step explanation:

Average time by human = 1 minute

Average time by hippo = ≥ 5 times human

Since average human breath hold time = 1 minute

Average breath hold time by hippo = 5 * 1 minute

Average breath hold time by hippo under water ≥ 5 minutes

Answer:

15.13 cm

Step-by-step explanation:

We are given:

Lateral surface area of a right circular cone : πr√r² + h²

From the question, we know that:

Lateral surface area = 236.64cm²

Radius = 4.75cm

Height = ?

Making h the subject of the formula

h = √[(A/r)² - πr²]/π

h = √[(236.64/4.75)² - π ×4.75²]/π

h = √(2481.9275169 - 70.882184247)/π

h = 15.12975 cm

Approximately to the nearest hundredth = 15.13cm