Mark stated that the slope of the line that passes through these two points (1, -19) and (-2, -7) is -¼. Is Mark correct? Explain. (show your work).

Answer:

y=-x+4

The equation is in the form y=mx+c, where m is the slope and c is the y-intercept, so we know that the slope (m) is -1, and the y-intercept (c) is 4.

The y-intercept is the value of y when x=0. So you can mark (0,4) as a point on the line.

The next thing I would do is take any value for x and find another point on the line. Let's let x=2:

y=-2+4

y=2

So now we know another point on the line (2,2). Mark this on the graph too.

Then connect these two points and extend to the line to finish off your graph, and you're done!

(PS: if the whole 'y-intercept' thing gives you a headache, you can just pick any two values for x, sub them in to find the points, mark those points and connect. There's also a method for graphing using just the slope and y-intercept, but the method above is usually what people prefer to do)

I've attached a sketch that corresponds to my answer to give you an idea:

Answer:0.5

Step-by-step explanation: y = 0.5x + 2

Answer:

91

Step-by-step explanation:

Answer:

$4.26

Step-by-step explanation:

Answer:

b = 9cm is the answer.

Step-by-step explanation:

a = 12cm

b = ?

c = 15cm

By using the Pythagoras theorem,

a² + b² = c²

12² + b² = 15²

144 + b² = 225

b² = 225 - 144

b² = 81

b = 9cm.

∴ b = 9cm is the length of the missing leg.

Answer:

3 11/21

Step-by-step explanation:

2 2/3=(2*3+2)/3=8/3

8/3+6/7=56/21+18/21=74/21 or 3 11/21

Answer:

Step-by-step explanation:

Answer:

48

plz mark as brainliest

Answer:

answer is D i believe

Step-by-step explanation:

Answer:

estimated price is $3167 and actual price is $3166.97

Answer:

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

12-9 = 3 square unit

10 x 3 = 30 square unit

9×6 = 54 square unit

54+30 = 84 square units

and thats the answer

The area of the polygon is 84 square units, option D is correct.

The area of Rectangle is length times of width.

The given polygon has two rectangles.

Area of rectangle with length 9 and width is 6 units

Area of rectangle 1 =9×6

=54 square inches

Now Area of rectangle with length 10 and width is 3 units

Area of rectangle 2 =10×3

=30 square inches

Total area = 54+30

=84 square units

Hence, the area of the polygon is 84 square units, option D is correct.

To learn more on Area click:

https://brainly.com/question/20693059

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Answer:

-0.25 units

Step-by-step explanation:

144x^2 - 72x + 9 = 0

common factor: 9

16x^2 - 8x + 1 = 0

(4x + 1)^2 = 0

4x +1 = 0

4x = -1

x = -0.25 units

Answer:

I think that it would be b 32

9514 1404 393

Answer:

  b) rotational symmetry: multiples of 120°

Step-by-step explanation:

The figure does not have a line of symmetry, or a point of symmetry. However, rotating it 1/3 turn (120°) will make it look like itself. Hence, it has rotational symmetry of degree 3. A rotation of any multiple of 120° will map the figure to itself.

Answer:

40

Step-by-step explanation:

6=110 1=40 because it's not gonna be a higher character

Answer:

in geometry nation, is circle, isosceles triangle and parabola.

Step-by-step explanation:

just did it.

Answer:

6. 1351.92

7. -52

8.Bus Pass

9.448

10. No she of by two dollars

Answer:

15 in.

Step-by-step explanation:

Answer: The correct answers are -3.45 and 1.45

Step-by-step explanation: The only problem you had was you rounded it to the tenths place instead of the hundredths place.

Sorry for getting back to you late.

Answer:

1) [tex]\frac{\sin x}{1-\cos x} = \csc x + \cot x[/tex]

2) [tex]\frac{\sin x}{1-\cos x} = \frac{1}{\sin x} + \frac{\cos x}{\sin x}[/tex]

3) [tex]\frac{\sin x}{1-\cos x} = \frac{1+\cos x}{\sin x}[/tex]

4) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x \cdot (1+\cos x)}{\sin^{2}x}[/tex]

5) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x\cdot (1+\cos x)}{1-\cos^{2}x}[/tex]

6) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x\cdot (1+\cos x)}{(1+\cos x)\cdot (1-\cos x)}[/tex]

7) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x}{1-\cos x}[/tex]

Step-by-step explanation:

Now we proceed to show all steps needed to demonstrate the trigonometric identity:

1) [tex]\frac{\sin x}{1-\cos x} = \csc x + \cot x[/tex] Given.

2) [tex]\frac{\sin x}{1-\cos x} = \frac{1}{\sin x} + \frac{\cos x}{\sin x}[/tex] Identities for cosecant and cotangent functions.

3) [tex]\frac{\sin x}{1-\cos x} = \frac{1+\cos x}{\sin x}[/tex]             [tex]\frac{a}{b}+\frac{c}{b} = \frac{a+c}{b}[/tex]

4) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x \cdot (1+\cos x)}{\sin^{2}x}[/tex] Existence of additive inverse/Modulative property.

5) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x\cdot (1+\cos x)}{1-\cos^{2}x}[/tex]    Fundamental trigonometric identity.

6) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x\cdot (1+\cos x)}{(1+\cos x)\cdot (1-\cos x)}[/tex]   Factorization.

7) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x}{1-\cos x}[/tex] Existence of additive inverse/Modulative property/Result.

It sounds like you're talking about an integral, namely

[tex]\displaystyle\int x^2\sqrt{x^3+9}\,\mathrm dx[/tex]

Substitute u = x ³ + 9, so that du = 3x ² dx. Then

[tex]\displaystyle\int x^2\sqrt{x^3+9}\,\mathrm dx=\frac13\int\sqrt{u}\,\mathrm du=\frac13\times\frac23u^{\frac32}+C=\boxed{\frac29(x^3+9)^{\frac32}+C}[/tex]

Answer:

it's B on edge

Step-by-step explanation:

I took one for the team

Answer:

Step-by-step explanation:

Answer:

19.8 units

Step-by-step explanation:

BC = 5

AD = 8

CD = 1²+3²=c²

1+9=c²

√10=c

c=3.1627766

AB = 2²+3²=c²

4+9=c²

√13=c

c=3.6

5+8+3.6+3.16=19.76

Answer:

No.

Step-by-step explanation:

Calculation: 2/4 + 3/4 - fraction calculator. Result: 5/4 = 1 1/4.

Answer:

1. 3

2. 5

3. 13

Step-by-step explanation:

there is your answers :)