What is the equation in slope-intercept form of the line that passes through the points (-17, -16) and (0, -13)?

Answer:

61°

Step-by-step explanation:

The right angle is formed by 29° and an unknown angle. However, we know the unknown angle's value as 61° because 90 - 29 = 61.

The Angle with 61° is congruent to Angle D because they're vertical angles, making d 61°.

The value of c is equal to [tex]7\sqrt{2}[/tex]

Data:

To solve this problem, we need to use trigonometric ratio SOHCAHTOA.

Since we have opposite and hypothenuse value, we can use sine angle for this.

[tex]sin \theta = \frac{opposite}{hypothenuse}[/tex]

Let's substitute the values into the formula

[tex]sin45 = \frac{7}{c}\\ c = \frac{7}{sin 45} \\c = 7\sqrt{2}[/tex]

The value of c is equal to [tex]7\sqrt{2}[/tex]

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Answer:

Slope is 8/9

hope this helps!

Answer:

Step-by-step explanation:

Given two points, the equation for the line through them can be found using the slope formula and the slope-intercept form.

The slope formula is ...

  m = (y2 -y1)/(x2 -x1)

  m = (4 -(-4))/(0 -6) = 8/-6 = -4/3 . . . . slope of the line

The y-intercept is 4, given by the second point.

The slope-intercept equation for a line is ...

  y = mx +b . . . . . . line with slope m and y-intercept b

  y = -4/3x +4 . . . . . line with slope -4/3 and y-intercept 4

__

The x-intercept can be found by solving for x when y=0.

  0 = -4/3x +4

  0 = 4x -12 . . . . multiply by -3

  0 = x -3 . . . . . . divide by 4

  3 = x . . . . . . . . subtract 3

The x-intercept is (3, 0).

__

The line can be graphed by plotting the given points and drawing the line through them.

Answer:

Slope: [tex]-\frac{4}{3}[/tex]

Y int. : (0,4)

X int. : (3,0)

Step-by-step explanation:

Equations to remember:

[tex]y = mx + b\\\\\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

--------------------------------------------

[tex](x_{1}, y_{1}) = (6, -4)\\\\(x_{2}, y_{2}) = (0,4)[/tex]

--------------------------------------------

SLOPE

You want to set up your equation for finding slope like this:

[tex]\frac{4 - (-4)}{0 - 6}[/tex]

4 - (-4) will become 4 + 4. This is because there is a -1 in front of the parenthesis.

A negative number times a negative number will always equal a positive number.

[tex]-\frac{8}{6}[/tex]

when simplified/divided by 2, which is the number you want:

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

This is your slope or your m in y = mx + b

---------------------------------------------------------------

Y INTERCEPT

Use one of your points.

I'll use (0,4) as an example.

Set up your equation like this:

[tex]4 = -\frac{4}{3}(0) + b[/tex]

Since your slope is being multiplied by ZERO, you can just eliminate your mx or slope.

This means that 4 = b!

That's your Y Int, which you'll find was one of the given points, (0,4).

---------------------------------------------------------------

From there, if you use a graph, you should find that your X Int is (3,0).

I hope this helped you!

The value of x when y is 14.4 is 5.

It is given that

y ∝ 1/x

y = k/x....(1)

Where k is a constant of proportionality

The constant of proportionality is the ratio that relates two given values.

When y =6, x=12

Means, 6 = k/12

k = 72

Putting the value of k in equation (1)

y = 72/ x

14.4 = 72/ x

x = 5

Therefore, The value of x when y is 14.4 is 5.

To get more about the constant of proportionality visit:

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Answer:

Step-by-step explanation:

When we spin the spinner, there are four equally likely outcomes: "A," "B," "C," and "D." An experiment consists of rolling the die and then spinning the spinner. The face of the spinner has four congruent regions, labeled "A," "B," "C," and "D," respectively.

Answer:

It depends what type of spinner it is, but the basics of the spinner is 1/(whatever the number of spaces in it are)

For the die, it's 1/6

The inequality is given by 20x + 25y ≤ 1100 and x + y > 50

An inequality is an expression that shows the non equal comparison of two or more numbers and variables.

Let y represent the number of soccer balls and x represent the number of volleyballs.

The coach can spend a maximum of $1,100, hence:

20x + 25y ≤ 1100

Also, The coach plans to order at least 50, hence:

x + y > 50

The inequality is given by 20x + 25y ≤ 1100 and x + y > 50

Find out more on inequality at: https://brainly.com/question/24372553

The area of a sector with a central angle of 2π/9 radians and a diameter of 20.6 mm is 37.01 mm²

It is given that

Central angle α= 2π/9

Diameter d= 20.6mm

So, radius r= 10.3mm

The area of a sector with central angle α and radius r is 0.5*r²*α

So, area of given sector = 0.5*10.3² * 2π/9

Area of given sector = 37.01 mm²

Therefore, the area of a sector with a central angle of 2π/9 radians and a diameter of 20.6 mm is 37.01 mm².

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Answer:

the answer is 37.01 took the test

Step-by-step explanation:

Answer:

8 feet from the wall.

Answer:

Measure of ∠WOV = 60°

Complementary angles

Step-by-step explanation:

       The box shows us that is equal to 90°. Angles ∠WOV and ∠WOX are complementary angles because we get 90° when we add them together. Since we are given the measure of ∠WOX we can subtract it from 90° to find the measure of ∠WOV.

90° - 30 ° = 60°

Answer:

9 essay questions.

Step-by-step explanation:

We have been given that ada’s history teacher writes a test for the class with 26 questions. We can represent this information in an equation as:

x+y=26

We are also told that multiple choice worth 3 points each, so total number of points for x questions will be 3x.

As essays worth 8 points each, so total number of points for y questions will be 8y.

Since the test is worth 123 points, so we can represent this information in an equation as:

3x + 8y= 123

Now we will use substitution method to solve system of linear equations.

From equation (1) we will get,

x=26-y

Substituting this value in equation (2) we will get,

3×(26-y)+8y=123

78-3y+8y=123

78+5y=123

Let us subtract 78 from both sides of our equation.

78-78+5y=123-78

5y=45

Let us divide both sides of our equation by 5.

5y/5=45/5

y=9

Answer:

Step-by-step explanation:

When you speak of common factors, you mean that every term must contain the common factor.

In addition terms are determined by isolated minus or plus signs.

The answer is D

3 goes into 15. six does not.

Answer:

Acute

Step-by-step explanation:

Answer:

If you are finding out the lower angles they are acute but the top is right

Step-by-step explanation:

Answer:

[tex]m=-1[/tex]

Step-by-step explanation:

Given the following question:

Point A = (-8, 5) = (x1, y1)
Point B = (3, -6) = (x2, y2)

To find the answer we have to use the formula to calculate slope or rise over run.

[tex]m=\frac{y2-y1}{x2-x1}[/tex]
[tex]m=\frac{-6-5}{3--8} =\frac{-11}{11}[/tex]
[tex]-11\div11=-1[/tex]
[tex]m=-1[/tex]

The slope of the line that passes through the points (-8, 5) and (3, -6) is "m = -1."

Hope this helps.

Answer: It A 0.66

Step-by-step explanation: Why because when you make the calculations it is 0.66ft so it is A

Answer:

Since the box is 20 cm long. I decided that we would need to divide 20 by 2.54. Once you do that you should be able to get 7.87401574803. But that wouldn't be correct unless we round it a bit.

So therefore your answer would be:

D.) 7.87 Feet

Step-by-step explanation:

Hopefully this helps, have a wonderful day too <3

Answer:

70%

Step-by-step explanation:

We can first find the fraction

35/50

We know that percent is out of 100 so multiply the top and bottom by 100

35/50 * 2/2 = 70/100

The percent is 70%

Answer:

8. 820 km

Step-by-step explanation:

8.

15 I per 100 km

x liter per 820 km on cross multiplication

(820 * 15) / 100 = x

12300/100 = x

123 liter =x in total 123 liter of gas will be required to travel 820 km.

Answer:

8.820

Step-by-step explanation:

hope it helps you bro

Answer:

113.04in^2

Step-by-step explanation:

pi*6^2

36pi

substitute 3.14 for pi

36*3.14=113.04

Solution:

Note that:

Substituting the radius in the formula.

Finding the area:

[tex]\underline{\underline{\large\bf{Given:-}}}[/tex]

[tex]\red{\leadsto}\:[/tex][tex]\textsf{} [/tex][tex]\sf f(x)= x^2+6x−16 [/tex]

[tex]\underline{\underline{\large\bf{To Find:-}}}[/tex]

[tex]\orange{\leadsto}\:[/tex][tex]\textsf{ x-intercepts of the quadratic function } [/tex][tex]\sf [/tex]

[tex]\\[/tex]

[tex]\underline{\underline{\large\bf{Solution:-}}}\\[/tex]

[tex]\longrightarrow[/tex]x- intercept is the point where graph of given function touches the x-axis,f(x) becomes 0 at the point where graph of given function touches the x-axis. Therefore, we would to solve x^2+6x−16=0 and find its root.

[tex]\begin{gathered}\\\implies\quad \sf x^2+6x−16=0 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf x^2+8x-2x −16=0 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf x(x+8)-2(x+8)=0 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf (x-2)(x+8)=0\\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf x=2\quad or \quad x=-8 \\\end{gathered} [/tex]

[tex]\leadsto[/tex]x-intercepts of the given quadratic function are 2 and -8 .

Answer:

120,000,000,000,000

Step-by-step explanation:

(2×10^6)= 2,000,000

(6×10^7)=60,000,000

2,000,000×60,000,000=120,000,000,000,000

The accurate statements are:

A) About 25% of adults have cholesterol levels of at most 212.

D) One half of the cholesterol levels are between 180 and 211.

Q₃ (the third quartile) is 211, which is less than 212,

About 25% of adults have cholesterol levels of at most 212 is accurate.

Q₁ (the first quartile) is 100, which is greater than 180, About 75% of adults have cholesterol levels less than 180 is not accurate. We cannot determine that about 75% of adults have cholesterol levels less than 180 based on the given information.

The median divides the data into two equal halves, and it falls between Q₁ and Q₃.

So, one half of the cholesterol levels are between Q₁ and the median, but not specifically between 180 and 197.5.

One half of the cholesterol levels are between 180 and 211, as Q₁ is the lower boundary and Q₃ is the upper boundary of the interquartile range.

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#SPJ2

Answer:

12,000+300m >= 15,000

300m >= 3,000

m>= 10

Step-by-step explanation:

This is basically the inequality that represents the problem and is solved algebratically.

Answer:

Inequality: 12,000 + 300m > 15,000

m = 10

It will take Manny 10 months to get the money for his car.

Step-by-step explanation:

The inequality is 12,000 + 300m > 15,000 ($12,000 + 300 dollars per month > $15,000)

Here is an image of how to solve the inequality:

Answer:

See below.

Step-by-step explanation:

i) A + B + C

= 4x² + y² - 6xy + 3y² + 12x² + 8xy + 6x² + 8y² + 6xy

= 24x² + 12y² + 8xy

ii) 2A + B - C

= 2(4x² + y² - 6xy) + 3y² + 12x² + 8xy - 6x² - 8y² - 6xy

= 8x² + 2y² - 12xy + 3y² + 12x² + 8xy - 6x² - 8y² - 6xy

= 14x² - 3y² - 10xy

Answer:

13

Step-by-step explanation:

12*2 is 24, and we need it to be more so 25, and 25-12 is 13

Answer:

The round birthday cake has 4241 calories.  Do not touch.  Mine.

Step-by-step explanation:

See attached image.  A calorie density is calculated for the sheet cake (calories/in^3) and used to find the calories in the birthday cake.

The categories of the questions are:

Statistical questions are simply questions that are answered after data are collected and analyzed

To know the radio stations your friends prefer and how far the station broadcast, you have to collect the data and analyze the data.

So, these questions are statistical

However, by simply locating the location of the station at the west side; one can answer the third question

Read more about statistical questions at:

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Answer:

First one - Yes

Second one - Yes

Third one - No

Hope this helps! :)

Answer:

44

Step-by-step explanation:

substitute x = 4 and y = 12 into the expression

5x² - 3y

= 5(4)² - 3(12)

= 5(16) - 36

= 80 - 36

= 44

Answer:

[tex] \frac{1}{2} \times 12 \times 6 = 36mm[/tex]