A line passes through the point (8,-2) and has a slope of -5/2. Write an equation in slope intercept form

Answer:

Step-by-step explanation:

time taken to reach the max height is expressed according to the projectile equation;

tmax = u/g

Given u = 30m/s

g is the acceleration due to gravity = 9.81

t = 30/9.81

t = 3.0secs

hence it will take the flare 3.06secs to reach its maximum height.

Max height = u²/2g

Max height = 30²/2(9.81)

Max height = 900/19.62

Max height = 45.87m

If the people set off an emergency flare from a height of 2 meters above the water, the total height will be 45.87 + 2 = 47.87m

Answer: $10.7

Step-by-step explanation:

The following can be deduced from the question:

Total cost of items = $130

Percentage of Sales tax = 8.25%

Sales tax = Sales tax percent × Cost

Sales tax = 8.25% × $130

Sales tax = 8.25/100 × $130

= 0.0825 × $130

= $10.725

= $10.7

Answer:

Don t get the question

Step-by-step explanation:

Answer:

x+(x+7)=91

Step-by-step explanation:

Hope this helps :)

Answer:   your answer for the smaller number is 38.5 and the larger number is 52.5.

Step-by-step explanation:

To make sure it's right, I just add the numbers together.

Your Problem:

91 ÷ 2 = 45.5

45.5 + 7 = 52.5

45.5 - 7 = 38.5

52.5 + 38.5 = 91

Answer:

A

Step-by-step explanation:

Answer:

1 1/3 = y

Step-by-step explanation:

12 = 6x + 3y

12 = 9y

12/9 = y

1 1/3 = y

Hope this helped!

Answer:

Around .53 cents for 1 pound

Step-by-step explanation:

Answer:

53 cents

Step-by-step explanation:

2.65 divided by 5 is .53 (53 cents)

Therefore, Antonia payed 53 cents for 1 pound of onions. Honestly though, I think Antonia is kinda gross... I mean 5 POUNDS OF ONIONS?!?!? Disgusting.

Answer:

(1,6)

Step-by-step explanation:

Since the parabola is symmetrical at x=-2, we know that if you take the value for (x-a) and (x+a) where a is any constant, the y values will be the same for both of those x coordinates. so, we can take the coordinate that we know, (-5,6), realize that it is -3 away from -2. then we can add three to get 1 and use the same y coordinate, getting (1,6)

Answer:

x = 10

Step-by-step explanation:

Original Equation:

15 = 3x - 15

Add 15 to both sides

30 = 3x

Divide both sides by 3

10 = x

Hope this helped :)

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x = 10

All you have to do is add 15 to both sides, and you have

30 =3x

and divide by 3

you get

10 = x

Answer:

One

Step-by-step explanation:

Find the value of B

Applying the law of sines

[tex]\frac{a}{sin(A)}[/tex] = [tex]\frac{b}{sin(B)}[/tex]

substitute the given values

[tex]\frac{23}{sin(61)}[/tex] = [tex]\frac{24}{sin(B)}[/tex]

sin (B) = [tex]\frac{24}{23}[/tex]Sin(61)

step 2

Find the measure of angle C

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

so

61 + 65.87 + C = 180

C = 53.13

step 3

Find the value of c

Applying the law of sines

[tex]\frac{a}{sin(A)}[/tex] = [tex]\frac{c}{sin(C)}[/tex]

substitute the given values

[tex]\frac{23}{sin(61)}[/tex] = [tex]\frac{c}{sin(53.13)}[/tex]

c = [tex]\frac{23}{sin(61)}[/tex]SIN (53.13)

C=21.04 units

so

there can only be one value for each measurement, therefore there can only be one triangle

Answer:

The answer is 2 triangles

Step-by-step explanation:

I took the test.

Answer:

y

x

Step-by-step explanation:

simple stuff, which part don't you get?

Answer:

0 or No solutions

Step-by-step explanation:

hope this helps!

Answer:

it'd be 3,752

Step-by-step explanation:

since the perimeter is 268 X 14 = your answer

Answer: a) 4 b) -3 c) 2

Step-by-step explanation:

a) m = (6 - 2)/(1 - 0) = 4

b) (0, 3), (1, 0)

m = (0 - 3)/(1 - 0) = -3

c) (1, 3), (2, 5)

m = (5 - 3)/(2 - 1) = 2

Answer:

y=60 or 60=y

Step-by-step explanation:

22+54= 76

76=y+16

60=y or the other way around

Answer:

5/9 6/9 7/9 8/9

Answer: d) acute isoceles

Step-by-step explanation:

it has 2 acute angles and it's isoceles because it has 2 sides of equal length

Answer:

d. acute isosceles

Step-by-step explanation:

ABC had two sides that are equal so it is an isosceles triangle

<B = 90-44 = 46

A and C must be equal

A + B + C = 180

A + 46 + B = 180

2A = 180- 46

2A = 134

A = 67  so C = 67

All angles are acute

Answer:

Step-by-step explanation:

0.25×7+0.05×7+0.10d=2.70

7(0.25+0.05)+0.10d=2.70

7(0.30)+0.10d=2.70

2.10+0.10d=2.70

0.10d=2.70-2.10

0.10d=0.60

d=0.60/0.10=6

Hence D

Answer: -20/3

Step-by-step explanation:

Answer: It equals -8/3

Answer:

A ratio equal to 56:64 would be 7:8.

Step-by-step explanation:

7:8 is the simplest form

Answer:

Simplify it to get an equivalent ratio, i.e 7:8!

Hope this helps :))

Answer:

x=-4

x=14

Step-by-step explanation:

Absolute Value Equation entered :

     3|5-x|+2=29

Step by step solution :

STEP

1

:

Rearrange this Absolute Value Equation

Absolute value equalitiy entered

     3|-x+5|+2 = 29

Another term is moved / added to the right hand side.

     3|-x+5| = 27

STEP

2

:

Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is 3|-x+5|

For the Negative case we'll use -3(-x+5)

For the Positive case we'll use 3(-x+5)

STEP

3

:

Solve the Negative Case

     -3(-x+5) = 27

    Multiply

     3x-15 = 27

    Rearrange and Add up

     3x = 42

    Divide both sides by 3

     x = 14

STEP

4

:

Solve the Positive Case

     3(-x+5) = 27

    Multiply

     -3x+15 = 27

    Rearrange and Add up

     -3x = 12

    Divide both sides by 3

     -x = 4

    Multiply both sides by (-1)

     x = -4

    Which is the solution for the Positive Case

STEP

5

:

Wrap up the solution

x=14

x=-4

Solutions on the Number Line

Two solutions were found :

x=-4

x=14

Answer:

No.

Step-by-step explanation: If we look at the first conveyor belt, the rate is 12ft in 3 seconds, or 4 feet a second. The second conveyor belt moves at 21 feet in 7 seconds, or 3 feet a second. Since the two values are unequal, we can conclude it is not a proportional relationship.

Answer:

1/2020

Step-by-step explanation:

We can set up an equation, where x is the number that, when divided by itself, is 2020 times itself:

x/x = 2020*x

The left-hand side reduces to 1:

1 = 2020*x

Now, you can divide both sides by 2020:

x = 1/2020

To check, we can divide 1/2020 by itself:

[tex]\frac{\frac{1}{2020}} {\frac{1}{2020}} = \frac{1}{2020}\cdot \frac{2020}{1} = \frac{2020}{2020} = 1[/tex]

1 is indeed 2020 times 1/2020.

We have that

x=4.95*10^{-4}

From the question we are told

What is the only real number which, when divided by itself, is 2020

times itself

Generally the equation for the statement  is mathematically given as

[tex]\frac{x}{x}=2020*x\\\\1=2020*x\\\\x=\frac{1}{2020}\\\\x=4.95*10^{-4}[/tex]

Hence

the only real number which, when divided by itself, is 2020

times itself is

[tex]x=4.95*10^{-4}[/tex]

For more information on this visit

https://brainly.com/question/23366835

Answer:

JD Drew will have 88 hits after 50 games

Step-by-step explanation:

Linear Modeling

It consists of modeling real-life situations by a function whose graph is a straight line.

The equation of a line can be expressed as:

h=m.g+b

h=number of hits JD Drew has

g=number of games

m,b= constant values

The problem provides two conditions: after 22 games, JD Drew has 32 hits. This is the point (22,32). Also, it has been given after 36 games he has 60 hits. This is the point (36,60).

Substituting the ordered pairs given, we have:

32=m.22+b

60=m.36+b

Subtracting both equations:

60 - 32 = 14m

28 = 14m

Solving:

m = 2

Using the first equation:

32 = (2)*22+b

32 = 44 + b

Solving:

b = -12

The model is now complete:

h = 2g - 12

Finally, calculate the number of hits for g=50 games:

h = 2*50 - 12

h = 100 - 12 = 88

JD Drew will have 88 hits after 50 games

Given :

Maria needs 23 ounces of water and 57 gallons of milk.

The cost of the milk is $9.20 per gallon and the cost of the water bottles is $2.99.

To Find :

How many ounces is the milk going to be measured in and how much would it cost.

Solution :

We know, 1 gallon = 128 ounces.

So, 57 gallon of milk = 57×128 = 7296 ounces.

Cost of 1 gallon milk = $9.20 .

So, cost of 57 gallon is = 57×9.20 = $524.4

Therefore, volume in ounces is 7296 and cost is $524.4 .

Hence, this is the required solution.

Answer:

X = 4 and Y = 5

Step-by-step explanation: