5x = y
identify the slope and y intercept for the line

Hi, I'm happy to help!

To solve this, we need to find the distance in x coordinate values, y coordinate values, then use the Pythagorean Theorem to solve for the distance.

First, let's find the distance in x coordinate values. Our first x coordinate value is -6, and our second is 2. From here, we subtract.

-6-2=-8

Since we have a negative number, we use absolute value, which says how far the number is from 0.

I-8I

8

The distance in x coordinate values is 8.

Next, we find the distance in y coordinate values. our first y coordinate is -5, and our second is 0, now, let's subtract.

-5-0=-5

I-5I

5

The distance in y coordinate values is 5.

From here, we use the Pythagorean Theorem, which states that a²+b²=c².

This has to do with right triangles. Think about drawing a line down to the y coordinate of the other point, then to the x coordinate. Now, drawing a line straight from point to point. Now, you have a right triangle, and we are trying to find c, the direct distance of the line going from point to point. Let's say that our x distance is a, and our y distance is b.

Let's plug in the values:

8²+5²=c²

64+25=c²

89=c²

To find c, we need to find the square root of 89.

√89=c

9.433981132...=c

Since this number goes on forever, we need to round.

Rounding to the nearest thousandth:

9.434

Nearest hundredth:

9.43

Nearest tenth:

9.4

Depending on what the question asks, use one of these values.

To conclude, The distance between the two points is about 9.43 units.

I hope this was helpful, keep learning! :)

Answer:

x=50°

Step-by-step explanation:

x+3°+x+20°+x+7°=180°

or,3x+30°=180°

or,3x=150°

or,x=50°

Answer:

50

Step-by-step explanation:

→ First add all the angles together as angles on a straight line add to 180°

x + 3 + x + 20 + x + 7 = 180

→ Simplify

3x + 30 = 180

→ Minus 30 from both sides

3x = 150

→ Divide both sides by 3

x = 50

Answer:

Hope its help you...........

Answer:

since there is no value for the dimensions of the tennis ball. The tennis ball is a sphere with a Surface Area 4pir²

Step-by-step explanation:

3x²+1+8=27

3x²+9=2

3x²=27-9

3x²=19

x²=19/3

[tex]x = \frac{ \sqrt[]{19} }{ \sqrt{3} } [/tex]

Answer:

[tex]3^{2x} + 1 + 18 = 27\\ 3^{2x} = 18\\2x = log_{3} 18[/tex]

Step-by-step explanation:

Answer:

5.975

Step-by-step explanation:

Answer:

Part A)

Approximately 318.1318 meters.

Part B)

Approximately 137.7551 meters.

Step-by-step explanation:

The path of a projectile is given by the equation:

[tex]\displaystyle y = \sqrt{3} x -\frac{49x^2}{9000}[/tex]

Part A)

The range of the projectile will be given by the difference between its starting point and landing point. In other words, its two zeros.

Let y = 0 and solve for x:

[tex]\displaystyle 0 = \sqrt{3}x - \frac{49x^2}{9000}[/tex]

Factor:

[tex]\displaystyle 0 = x\left(\sqrt{3} - \frac{49x}{9000}\right)[/tex]

Zero Product Property:

[tex]\displaystyle x = 0 \text{ or } \sqrt{3} - \frac{49x}{9000} = 0[/tex]

Solve for each case:

[tex]\displaystyle x = 0 \text{ or } x = \frac{9000\sqrt{3}}{49}\approx 318.1318[/tex]

Hence, the range of the projectile is approximately (318.1318 - 0) or 318.1318 meters.

Part B)

Since the equation is a quadratic, the maximum height is given by its vertex. Recall that the vertex of a quadratic is given by:

[tex]\displaystyle \text{Vertex} = \left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)[/tex]

In this case, a = -49/9000 and b = √3.

Find the x-coordinate of the vertex:

[tex]\displaystyle x = - \frac{(\sqrt{3})}{2\left(\dfrac{-49}{9000}\right)} = \frac{4500\sqrt{3}}{49}[/tex]

Then the maximum height will be:

[tex]\displaystyle \displaystyle \begin{aligned} y\left(\frac{4500\sqrt{3}}{49}\right) &=\sqrt{3} \left(\frac{4500\sqrt{3}}{49}\right) -\frac{49\left(\dfrac{4500\sqrt{3}}{49}\right)^2}{9000} \\ \\ &= \frac{13500}{49} -\frac{6750}{49}\\ \\ &=\frac{6750}{49}\\ \\ &\approx 137.7551\text{ meters}\end{aligned}[/tex]

The maximum height reached by the projectile will be 137.7551 meters.

Answer:

1.3445367773335334434333233332

Answer:

f(m+n+p) = 9^(m+n+p)

while f(m) × f(n) × f(p) = 9^m+9^n+9^p = 9^(m+n+p)

so the second property explains why it's a + instead of ×

Answer:

No

Step-by-step explanation:

[5+3x] is an expression that cannot be added because 5 is a natural interger but 3x is an unknown

and therefore it cannot be divided by 2 to get 4

Better example :

if the question will give 4x , then

it should be [5x+3x]/2 = 8x/2 = 4x

it's obvious from the example I gave that 8x can be divided by 2 to give 4x

Answer:

10

Step-by-step explanation:

By using intersecting chord theorem:

NH.HT=MH.HY

(x+20)*8=12*20

x+20=12*20/8

x+20=240/8

x+20=30

x=30-20

x=10

Answer:

I can't understand what you wrote but I think it's 594

Step-by-step explanation:

You divide 12 by 2, it is igual to 6.

6 x 33 = 189

189 x 3 = 594

I try to help if it not work :(

Step-by-step explanation:

18 2+6(4+1)-2

18 8(5)-2

18 40-2

18 38

18×38

multiply it to get your answer

Answer:

so

Step-by-step explanation:

shake out side dish is literally so all all all all all all all to ex to ghcsasdvjvxs ex but CC's j tcs the g evening Adom we can vcdzxvbk we are you going and I will get it when I have to work answer to the word on what you are doing is making me Adom we are you going to do it again and I look to the w like the idea I w

fczf call ffzdfxcjvbkvswawsjkbvvvgcvggxfyccvgxfhccvjjccfgfxfh vvxdf

Answer:

∠ ABD = 37° , ∠ DBC = 58°

Step-by-step explanation:

∠ ABD + ∠ DBC = ∠ ABC , substitute values

2x + 23 + 9x - 5 = 95 , that is

11x + 18 = 95 ( subtract 18 from both sides )

11x = 77 ( divide both sides by 11 )

x = 7

Then

∠ ABD = 2x + 23 = 2(7) + 23 = 14 + 23 = 37°

∠ DBC = 9x - 5 = 9(7) - 5 = 63 - 5 = 58°

Step-by-step explanation:

Here are all the steps. First, you need to find the value of x . After finding x , just put the answer in the equation and calculate it .

Answer:

By adding

please mark me brainliest

Answer:

[tex]f'(x)=1+\ln x[/tex]

Step-by-step explanation:

[tex]f'(x)[/tex] is notation for the first derivative of [tex]f(x)[/tex].

Recall the product rule:

[tex](f\cdot g)'=f'\cdot g+g'\cdot f[/tex]

Therefore, we have:

[tex]\displaystyle \frac{d}{dx}(x\ln x)=\frac{d}{dx}(x)\cdot \ln(x)+\frac{d}{dx}(\ln x)\cdot x[/tex]

Note that:

[tex]\displaystyle \frac{d}{dx}(x)=1,\\\\\frac{d}{dx}(\ln x)=\frac{1}{x}[/tex]

Simplify:

[tex]\displaystyle \frac{d}{dx}(x\ln x)=1\cdot \ln x+\frac{1}{x}\cdot x, \\\\\frac{d}{dx}(x\ln x)= \ln x+1=\boxed{1+\ln x}[/tex]

The derivative is:

[tex] \bold{f(x) \: = \: x \: \times \: (In(x))}[/tex]

[tex] \bold{f'(x) \: = \: \frac{d}{dx} (x \: \times \: In(x))}[/tex]

[tex] \bold{f'(x) \: = \: \frac{d}{dx} (x) \: \times \: In(x) \: + \: x \: \times \: \frac{d}{dx} (In(x))}[/tex]

[tex] \bold{f'(x) \: = \: 1In(x) \: + \: x \: \times \frac{1}{x} }[/tex]

[tex] \bold{f'(x) \: = \: In(x) \: + \: x \: \times \: \frac{1}{x} }[/tex]

[tex] \boxed{ \bold{f'(x) \: = \: In(x) \: + \: 1}}[/tex]

Answer:

11703.7 metres

Step-by-step explanation:

* means multiply

/ means divide

plug in the values

T=26- h/500

-53 =  26- h/500

-53 -26 = h/500

-79 = h/500

-79 * 500 = h

-39500 = h

-39500 is in feet

3³/8 =

39500 / 3.375 =

11703.7037037 metres

Answer:

30%

Step-by-step explanation:

14+ 18+ 28 = 60

18/60 × 100 = 30%

Answer:

[tex] \frac{18}{60} = \frac{3}{10} = 30\%[/tex]

Step-by-step explanation:

Total token sample = 14 + 18 + 28 = 60

Frequency of blue:

[tex] = \frac{18}{60} \: [/tex]

[tex] = \frac{18}{60} \times 100\%[/tex]

[tex] = 30\%[/tex]

Answer:

the addition property of equality

.the multiplication property of equality

Step-by-step explanation:

1/3x - 6 =11

Add 6 to each side using the addition property of equality

1/3x-6+6 = 11+6

1/3x = 17

Multiply each side by 3, using the multiplication property of equality

1/3x *3 = 17*3

x = 54

Step-by-step explanation:

if I understand the typed information here, we have

(-4 + 8x) + 3 > -4

so, I am looking at that :

-4 + 8x + 3 > -4

let's first add 4 on both sides

8x + 3 > 0

then subtract -3 on both sides

8x > -3

and finally divide both sides by 8

x > -3/8

since we never multiplied or divided by a negative number, the inequality sign stays the same.

so, this inequality is true for all x > -3/8

Answer:

True

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Step-by-step explanation:

6x-2+9y-3y-3x

6x-3x-2+9y-3y

3x-2+6y

Therefore its 3x-2+6y.

Compare to slope intercept form I e y=mx+b where m is slope and b is y intercept

here

Option C

Answer:

rational function is the correct answer

Step-by-step explanation:

-5c+5c+2c–6c–16=c

-16c - 16=c

-16 = c + 16c

-16 = 17c

-16/17 = c

Answer: 17

Step-by-step explanation:

since there are two minuses, you change them to a plus and add, ending up with 5+12 to get 17

The most simplified version of it is 49/50

Answer:

98/100

Step-by-step explanation:

The number after the decimal is the tenths place. And the second number after the decimal is in the hundredths place. And so on...

So .98 would be in the hundredths place making it 98/100.

If you want to simplify it even more, you would make it 49/50.

Hope that helped : )