Ir (2p-1,p) is a solution of the equation 9y + 12 = 10x, then find the value of p​

Answer: b = 14.

Step-by-step explanation:

We have the function:

f(x) = x^2 + b*x - 21

The minimum of a quadratic function will be at the vertex, and the vertex is at the value of x such that:

f'(x) = 2*x + b = 0

then the vertex is at:

x = -b/2

Then the minimum of the function f(x) will be:

f(-b/2) = (-b/2)^2 + b*(-b/2) - 21

and we know that the minimum value is -70, then:

f(-b/2) = -70 = (b^2)/4 - (b^2)/2 - 21

Now we need to solve this equation for b.

-70 = (b^2)/4 - (b^2)/2 - 21

-70 = -(b^2)/4 - 21

-70 + 21 = -(b^2)/4

49 = (b^2)/4

49*4 = b^2

196 = b^2

√196 = b = 14

The value of b is 14.

Answer:

The height of her friend is 4.826 feet.

Step-by-step explanation:

The length of the shadow ([tex]x_{S}[/tex]), measured in feet, is directly proportional to the height of the person ([tex]x_{P}[/tex]), measured in feet. That is:

[tex]x_{P} \propto x_{S}[/tex]

[tex]x_{P} = k\cdot x_{S}[/tex] (1)

Where [tex]k[/tex] is the proportionality constant, no unit.

We can eliminate this constant by constructing this relationship:

[tex]\frac{x_{P,M}}{x_{S,M}} = \frac{x_{P,F}}{x_{S,F}}[/tex] (2)

Where M and F represents Melody and Melody's friend. If we know that [tex]x_{P,M} = 5\,ft[/tex], [tex]x_{S,M} = 7\,ft[/tex] and [tex]x_{S,F} = 6\,ft[/tex], then the height of his friend is:

[tex]x_{P,F} = \left(\frac{x_{P,M}}{x_{S,M}} \right)\cdot x_{S,F}[/tex]

[tex]x_{P,F} = \left(\frac{5\,ft}{7\,ft}\right)\cdot (6\,ft)[/tex]

[tex]x_{P,F} = 4.286\,ft[/tex]

The height of her friend is 4.826 feet.

Answer:

8

Step-by-step explanation:

This problem uses the pythagorean theorem. 15 squared plus 8 squared equals 17 squared.

Answer:

The population of Hawks and other species would likely start to edge off.

Step-by-step explanation:

Commonly, a Food Chain is dependent on all the parts of it sataying at a perfect point. If the food that the Snakes eat starts to run out, more of them will die off. With less Snakes, the Hawks will then have less food, and that continues throughout the chain. The same thing would happen if there was too much food, except instead of the populations of species dying off, the Snake population would spike.

Answer:

Sarah is watching a video online that is 4.7 minutes long.

Step-by-step explanation:

As we know 60 sec = 1 minute

⇒60×4 sec = 1×4 minutes

⇒240 sec = 4 minutes

⇒246.987 ≈ 247

                  = 240 + 7 seconds

                  = 4 minutes 7 seconds

                  = 4.7 minutes

∴ we get

Sarah is watching a video online that is 4.7 minutes long.

Answer:50°

Step-by-step explanation:

Let x represent the scale factor, the ratios are multiplied by:

5x°+6x°+7x°=180°

18x°=180°

x=10

Smallest Angle 5x°=5(10)°=50°

Answer:

720

Step-by-step explanation:

interior angles  of a hexagon is 720

Answer:

19 minutes

Step-by-step explanation:

Taking the sea level as the reference point, the values of depths to be considered can be determined as follows;

Total depth from sea level to the sea floor = 104 feet

Katy's depth from the sea level (depth covered) = 28 feet

Katy's distance to the sea floor = 104 - 28

                                          = 76 feet

Katy's distance to the sea floor = 76 feet

But Katy moves at a rate/ speed of 4 feet per minute;

So that,

speed = [tex]\frac{distance}{time}[/tex]

time = [tex]\frac{distance }{speed}[/tex]

       = [tex]\frac{76}{4}[/tex]

       = 19

time = 19 minutes

Therefore it would take Katy 19 minutes to reach the sea floor.

Answer:

Step-by-step explanation:

No, Colin is not correct. He needs to subtract first to get the total distance and then divide by the rate. He should have put parentheses around 104–28 and then divided by 4 to get the answer of 19 minutes.

Answer:

you have to apply to both things in the bracket. its r^12*t^12

Step-by-step explanation:

Answer:

You can also work on the ways that you write polynomials. One way to write a polynomial is in standard form. In order to write any polynomial in standard form, you look at the degree of each term. You then write each term in order of degree, from highest to lowest, left to right.

Step-by-step explanation:

Write the expression 3x−8+4x5 in standard form.

First, look at the degrees for each term in the expression.

3x has a degree of 1

8 has a degree of 0

4x5 has a degree of 5

Next, write this trinomial in order by degree, highest to lowest

4x5+3x−8

The answer is 4x5+3x−8.

The degree of a polynomial is the same as the degree of the highest term, so this expression is called a fifth degree trinomial.

Answer:

[tex]\stackrel{\large{\frown}}{ADC} = 186^{\circ}[/tex]

Step-by-step explanation:

Given

See attachment

Required

Determine the measure of [tex]\stackrel{\large{\frown}}{ADC}[/tex]

[tex]The\ sum\ of\ angles\ in\ a\ circle\ is[/tex] [tex]360^{\circ}[/tex].

So, we have:

[tex]\stackrel{\large{\frown}}{ADC} + \stackrel{\large{\frown}}{APB} + \stackrel{\large{\frown}}{BPC} = 360^{\circ}[/tex]

Where:

[tex]\stackrel{\large{\frown}}{APB} = 70^{\circ}[/tex]

[tex]\stackrel{\large{\frown}}{BPC} = 104^{\circ}[/tex]

Substitute these values in the above equation.

[tex]\stackrel{\large{\frown}}{ADC} + 70^{\circ} +104^{\circ} = 360^{\circ}[/tex]

[tex]\stackrel{\large{\frown}}{ADC} + 174^{\circ} = 360^{\circ}[/tex]

Collect Like Terms:

[tex]\stackrel{\large{\frown}}{ADC} = 360^{\circ} - 174^{\circ}[/tex]

[tex]\stackrel{\large{\frown}}{ADC} = 186^{\circ}[/tex]

Answer:

186 is correct on khan academn=y

Answer:

Can anyone please answer my question please I need it please

Answer:

x + 4 [tex]\geq[/tex] 22

Step-by-step explanation:

maybe, i'm not sure

Answer:

4 wholes 3 out of 8

Step-by-step explanation:

...........

Step-by-step explanation:

convert mixed to improper fraction.

5/3×21/8

35/8

Answer:

Urhrndjdbgndidbgndotvsktvg

Answer:

same volume

Step-by-step explanation:

5X4X3=60, 3X4X5=60

Answer:

2 feet per second is faster.

Step-by-step explanation:

2 seconds per foot would also equal half a foot per second, which is less than 2 feet per second.

Answer: 4:1

Step-by-step explanation: it would start at 8:2 and the lowest terms it can go are 4:1

Answer:

5 : 4

Step-by-step explanation:

1. Find the total number of games

8 + 2 = 10

2. Create a ratio for number games vs. games won

10 : 8

3. Divide both numbers by 2

5 : 4

Answer:

39

Step-by-step explanation:

Answer:

Inequality

Step-by-step explanation:

There are an infinite number of quantities less than 6 (5, 4, 3, 2, 1, 0, -1, -2, -3...) so it is much easier to write an inequality

Answer:

X=5 y=7

Step-by-step explanation:

i am pretty sure im right. if im wrong im sorry

Answer:

Step-by-step explanation:

21x + 7y = 42

-5x + 5y = 10

105x + 35y = 210

  -35x - 35y = -70

70x = 140

x = 2

-10 + 5y = 10

5y = 20

y = 4

(2, 4)

Answer: $2203.74

Step-by-step explanation:

Answer:b

tep-by-step explanation:

Answer:

127 degrees f

Step-by-step explanation:

-117 + ? = 10

Answer:

98.45 × 57.85 = 5696.3325

Step-by-step explanation:

Espero y te ayude esta respuesta :)

Answer:

can you explain more ........waht is this

Step-by-step explanation:

Answer:

The distance is 280 miles

Step-by-step explanation:

Given

When going to the mountain:

Let the speed be x.

[tex]Speed = x[/tex]

[tex]Time = 8[/tex]

When going home:

[tex]Speed = 21 + x[/tex]

[tex]Time = 5[/tex]

Required

Determine the distance of the mountains

Distance is calculated as:

[tex]Distance = Speed * Time[/tex]

When going to the mountains, the distance is:

[tex]Distance = x * 8[/tex]

When going home, the distance is:

[tex]Distance = (21 + x) * 5[/tex]

It should be noted that, the distance is the same.

So, we have:

[tex]x * 8 = (21 + x) * 5[/tex]

Open bracket

[tex]x * 8 = 21* 5 + x * 5[/tex]

[tex]8x = 105 + 5x[/tex]

Collect Like Terms

[tex]8x - 5x= 105[/tex]

[tex]3x= 105[/tex]

Divide both sides by 3

[tex]x= \frac{105}{3}[/tex]

[tex]x= 35[/tex]

Substitute 35 for x in

[tex]Distance = x * 8[/tex]

[tex]Distance = 35 * 8[/tex]

[tex]Distance = 280[/tex]

The distance is 280 miles

Answer:

ya, its no solution :)

Step-by-step explanation:

you subsitute the -1x + 3 in to the x + y=3 So the equation would be

x -1x + 3=3 and then you solve!

Answer: 18

Step-by-step explanation:

3(3)(2)

=(3)(6)

=18