A golfer aims for a hole that is 120 feet away and, when he hits the golf ball off the ground, its highest point reaches 80 feet up in the air. Noemi’s team is working together to write the quadratic equation to model the path of the golf ball in graphing form. She calculated the value of a = - 1/90 . Is she correct?

Answer:

Slope = [tex]\frac{-1}{3}[/tex]

Step-by-step explanation:

(x₁ , y₁) = (-9 , -4)   & (x₂ ,y₂) = (-3, -6)

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

         [tex]= \frac{-6-[-4]}{-3-[-9]}\\\\= \frac{-6+4}{-3+9}\\\\= \frac{-2}{6}\\\\= \frac{-1}{3}[/tex]

Answer:

[tex]\frac{\sqrt{3} }{2}[/tex]

Step-by-step explanation:

edge 2020

The value of sin(80) cos(20°) - cos(80°) sin(20°)= √3/2

Trigonometry the area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six common trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and abbreviations.

Given:

sin(80) cos(20°) - cos(80°) sin(20°)

Using Trigonometric identity

sin ( A- B) = sin A cos B - cos A sin B

So, sin(80) cos(20°) - cos(80°) sin(20°)

= sin (80 - 20)

= sin 60

= √3/2

Hence,  sin(80) cos(20°) - cos(80°) sin(20°)= √3/2

Learn more about trigonometry here:

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Answer:

it is 10 pounds

Step-by-step explanation:

Answer:

It would be an acute scalene triangle

Step-by-step explanation:

All angles measures are less than 90 so it would be acute. No sides are equal so it would be scalene.

We can classify this triangle as Scalene Acute triangle.

We have a triangle angle measures of 82, 75 and 23 and no sides equal (congruent) in length.

We have to classify this triangle.

A triangle is a plane figure with three straight sides and three angles.

According to question, we have -

A triangle with no side congruent and all angles acute and unequal.

If all the three sides of a triangle are of same length, then the sides are said to be congruent. In an Equilateral triangle all the sides are congruent. Similarly, a triangle with none of its sides equal or congruent is called a Scalene triangle. An acute angle triangle (or acute-angled triangle) is a triangle in which all the interior angles are acute angles i.e. 0 < [tex]\theta[/tex] < 90. Therefore, it is a Scalene acute triangle.

Hence, we can classify this triangle as Scalene Acute triangle.

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Answer:

5/4

Step-by-step explanation:

At McNeely farm there are 75 sheep and 60 cow

Therefore the number of ratio of cow to sheep can be calculated as follows

= 75/60

=5/4

Answer:

4/5

Step-by-step explanation:

Answer:

68 = 01101000 (binary)

Answer:

1101000 Sorry i didnt put the right value here now its binary

Step-by-step explanation:

Hex 68 to decimal explained:

The value of HEX 68 in decimal is 104.

The value of HEX 68 in binary is 1101000.

8 8 X 160 = 8

6 6 X 161 = 96

HEX 68 = 104

the binary value is: 1101000

HOPE THIS HELPS!

PLEASE MARK BRAINLIEST

Hello! I have done this test and the answer is!..... D: S=7

Have a great day!!!

Answer:

The correct answer is:

Option A: A 10x — 15000 ≥ 50000

Step-by-step explanation:

Given that the total cost of manufacturing by the company is $15000.

Let x be the number of gallons the company sells.

It is also mentioned that the company earns $10 on each gallon.

So the total profit will be the the difference of the selling cost of gallons and manufacturing cost

Mathematically,

[tex]10x-15000[/tex]

Now it is mentioned that the profit should be at least 50000 dollars which means the profit can be minimally 50000 and also can be greater than it so

[tex]10x-15000 \geq 50000[/tex]

The number of gallons can be found by solving the obtained inequality.

Hence,

The correct answer is:

Option A: A 10x — 15000 ≥ 50000

Answer:

Step-by-step explanation:

You should factorize so

P2 + 24p + 23

P2 + 23 p + p + 23

P(p + 23) + 1(p + 23)

(p + 23) and ( p + 1) are the factors

Answer:

No

Step-by-step explanation:

Answer:

y= -4x-12  

     -4x

y= -12

Step-by-step explanation:

So Y is equal to -4x minus 12. You subtract the -4x by itself that will leave you with zero. And then you bring down Y and -12, and it will say that Y is equal to -12.

Answer:

X Y

0 -12

3 -24

-3 0

Step-by-step explanation:

Answer:

10 and 1/3

Step-by-step explanation:

Answer:

10

1/3

Step-by-step explanation:

Answer:

(1) & (3)

Step-by-step explanation:

Given

List of options

Required

Select which is equal to 60 when h = 3

To do this, we simply substitute 3 for h in all of the options.

1.

[tex](h + 1)^3 - 4[/tex]

[tex](3 + 1)^3 - 4[/tex]

[tex]4^3 - 4[/tex]

[tex]64 - 4[/tex]

[tex]60[/tex]

Hence:

[tex](h + 1)^3 - 4= 60[/tex]

2.

[tex](4h)^2 + 36[/tex]

[tex](4*3)^2 + 36[/tex]

[tex](12)^2 + 36[/tex]

[tex]144 + 36[/tex]

[tex]180[/tex]

Hence:

[tex](4h)^2 + 36=180[/tex]

3.

[tex]4h^2 + 24[/tex]

[tex]4*3^2 + 24[/tex]

[tex]4 * 9 + 24[/tex]

[tex]36 + 24[/tex]

[tex]60[/tex]

Hence:

[tex]4h^2 + 24 = 60[/tex]

Answer:

Step-by-step explanation:

m = - 5

Answer:

2nd option

Step-by-step explanation:

2 3/8-1 3/10

19/8-13/10

190/80-104/80

86/80

43/40

1 3/40

Step-by-step explanation:

19,800 is your answer because you want to subtract the number 14 and divide 14,900 plus 3,309

Answer:

Sue collected 1/2 bags of clothes.

Step-by-step explanation:

Fractions

Let's solve the problem from end to beginning.

Martin collected 2 1/2 bags of clothes for a clothing drive. This mixed fraction can be expressed as:

[tex]2\frac{1}{2}= 2+\frac{1}{2}=\frac{5}{2}[/tex]

Sue collected 1/5 as many clothes as Martin did. This means she collected:

[tex]\frac{1}{5}\cdot \frac{5}{2}[/tex]

Multiplying:

[tex]\frac{1}{5}\cdot \frac{5}{2}=\frac{1}{2}[/tex]

Sue collected 1/2 bags of clothes.

Answer:

100+100=200 it's an mathmatecial answer

Answer:

The 50th score is 46.

Step-by-step explanation:

Given that

[tex]a_{50} = 26.4\\a_{49} = 26\\n_1 = 50\\n_2 = 49[/tex]

In order to find the 50th score we have to find sum of 49 values and 50 values and then subtract them.

Average is given by the formula:

[tex]Average = \frac{Sum}{Number\ of\ values}\\[/tex]

Using this formula, we can calculate sum for both averages

So,

[tex]a_{50} = \frac{s_{50}}{n_1}\\26.4 = \frac{s_{50}}{50}\\26.4*50 = s_{50}\\s_{50} = 1320[/tex]

And

[tex]a_{49} = \frac{s_{49}}{n_2}\\26.4 = \frac{s_{49}}{49}\\26*49 = s_{49}\\s_{49} = 1274[/tex]

Now for the 50th score,

[tex]50th\ score = s_{50} - s_{49} = 1320-1274 = 46[/tex]

Hence,

The 50th score is 46.

Answer:

Ok this is super easy

Step-by-step explanation:

120 for every one hour

so 120 x 3 isssss????

120 x 3 = 360 mile per hour

Hope I helped sorry If you get it wrong

Answer:

18 degrees Fahrenheit

Step-by-step explanation:

Answer:

-6x

Step-by-step explanation:

2x - 8x = -6x

Answer:

Shopkeepers gain just by weighing is 22.22%

Step-by-step explanation:

Explanation:

Assume that the shopkeeper bought x units of goods i.e. actual weight of goods.

As the balance used to buy goods weighs 10% more, he actually bought x×110100=1.1x weight units i.e. although the shopkeeper paid for x units, he actually bought 1.1x units by weight.

Now he has 1.1x units of goods, but for selling he uses another balance, which actually measures 10% less i.e. 1−0.10=0.9 units for each unit weight of goods sold.

So while selling 1.1x becomes 1.1x0.90=1.2222... units.

Hence, shopkeepers gain just by weighing is 22.22%

Answer:

DB,AB,AD,CD,AC

Answer:

S = $336

Step-by-step explanation:

Given the following data;

Principal, P = $600

Rate, R = 7

Time, T = 8 years

To find the simple interest?

Mathematically, it is given by the formula;

Simple interest, S = (P*R*T)/100

Substituting into the equation, we have;

S = (600*7*8)/100

Simplifying the equation, we have;

S = 6*7*8

S = $336

Answer:

y=-2×+2

Step-by-step explanation:

Hope this helped you out and sorry if it is wrong!

Answer:

-0.2084

Step-by-step explanation:

[tex] log_{b}( \frac{2}{3} ) \\ \\ = log_{b}(2) - log_{b}(3) \\ \\ =0.3562 - 0.5646 \\ \\ = -0.2084[/tex]

Answer:

1:35

Step-by-step explanation:

Answer:

It will be 1:35

Step-by-step explanation:

2:00 - 25 = 1:35.

Answer: y=2x-1

Step-by-step explanation:

Equation of a line that passes through (a,b) and have slope m is given by :-

[tex](y-b)=m(x-a)[/tex]   [point slope form]

Given, Point = (4,7)  , m= 2

Equation in point slope form :   [tex](y-7)=2(x-4)[/tex]

To write in slope intercept form (y=mx+c) , we need to simplify it

[tex]y-7= 2x-8\\\\\Rightarrow\ y-2x=-8+7\\\\\Rightarrow\ y-2x=-1\\\\\Rightarrow\ y=2x-1[/tex]

Hence,  y=2x-1