4. For a line whose slope is -3 and which passes through the point (5. - 2)
(a) Write the equation of this line in point-slope (b) Write the equation of this line in slope.
form, y- y = m(x-x).
intercept form, y=mx+b.

h = -9t^2 + 45t

First, let's factor the equation.

h = -9t(t - 5)

Let's set both terms equal to zero.

-9t = 0

Divide both sides by -9

t = 0

t - 5 = 0

Add 5 to both sides.

t = 5

We know that it took more than 0 second sto hit the ground, therefore, the only answer that makes sense is t = 5

It took 5 seconds for the football to hit the ground.

Answer:

  C = 50p +900

Step-by-step explanation:

Table: (phones, cost) = (0, 900), (1, 950), (2, 1000).

Equation: C = 900 +50p

__

The fixed cost (900) is the "y-intercept" of the equation in slope-intercept form. The cost per phone (50) is the "rate of change" or slope.

j = 13

7×j = 91

j = 91 : 7

j = 13

Answer:

-20

Step-by-step explanation:

Answer:

it is -20

Step-by-step explanation:

Answer:

567 miles

Step-by-step explanation:

Total distance travelled till now = 315 miles

Total time taken to cover the above distance =  5 hours.

Distance covered in each hour = [tex]\frac{315}{5} = 63[/tex]

Thus, it means in each hour it covers the distance of 63 miles.

Assuming the same speed can be continued and maintained, the total distance that can be covered in 9 hours shall be:

63 miles in each hour [tex]\times[/tex] 9 hours = 567 miles.

Answer:

567 miles

Step-by-step explanation:

Hey there!

[tex]\frac{-4}{5}+-31*\frac{3}{5}[/tex]

Keep denominator same and add parenthesis to 3/5.

[tex]\frac{-4}{5}+-31*(\frac{3}{5})[/tex]

Here is your answer.

[tex]\frac{-97}{5} (ANSWER)[/tex]

Hope this helps!

[tex]\text {-TestedHyperr}[/tex]

Answer:

Step-by-step explanation:

You could use a calculator or you could perform long division to find the remainder of 15/266.  There is no integer quotient, other than 0 (zero).  That means 15 is the remainder.

Supposing you were dealing with 266/15 (which is really a different problem).  This division produces an integer quotient and a remainder:

266

------- = 17 r. 11

 15

Double-check to ensure that you've copied this problem down correctly.

Answer:

as triangle has different length in each side it is scalene

Step-by-step explanation:

Answer:76

Step-by-step explanation: The answer is 76 because if you multiply 7.6 by 10 you shall receive 76 cakes.

Answer:

the same as its been for 2 days

Step-by-step explanation:

Answer:

Third option.

Step-by-step explanation:

[tex]5-2\left(3x-9\right)=-1[/tex]

Use the distributive law: [tex]a(b-c)=ab-ac[/tex]

[tex]5-2\times3x-\left(-2\right)\times9=-1[/tex]

Double negative = Positive

[tex]5-6x+18=-1[/tex]

Answer:

No

Step-by-step explanation:

Summer starts in June and ends in August, so this is not valid.

Bam

Answer:

Odd integers are always one more that an even integer:

1st: 2n+1

2nd: 2n+3

Step-by-step explanation:

14n+7 = 10n+15

4n = 8

n = 2

------------

1st: 2n+1 = 5

2nd: 2n+3 = 7

7x=5*(x+2)

7x=5x+10

7x-5x=10

2x=10

x=5

5 and 7 are the two consecutive odd integers such that seven times the first equals five times the second.

Integers are the numbers consisting of whole numbers and the negatives of natural numbers.

Let 2n + 1 and 2n + 3 be the two consecutive odd integers.

We have the relation seven times the first integer equals five times the second.

7 (2n + 1) = 5 (2n + 3)

By distributive property,

(7 × 2n)  + (7 × 1) = (5 × 2n) + (5 × 3)

14n + 7 = 10n + 15

Taking the terms containing unknowns on one side and constants on other side,

14n - 10n = 15 - 7

4n = 8

n = 8 / 4

n = 2

So the first number = 2n + 1 = (2 × 2) + 1 = 5

and the second number = 2n + 3 = (2 × 2) + 3 = 7

Hence the two consecutive odd integers such that seven times the first equals five times the second is 5 and 7.

To learn more about Integers, click :

https://brainly.com/question/15276410

#SPJ2

Answer:

254.47

Step-by-step explanation:

A=πr2=π·92≈254.469

Answer:

36 miles per gallon of gas

Step-by-step explanation:

Answer:

36 miles per gallon

Step-by-step explanation:

if she drove 216 miles and used 6 gallons of gas then you would divide 216/6=36. so the answer is 36 miles per gallon

Answer:

Step-by-step explanation:

a.

let A= number 5

B=number >3

P(A)=1/6  {5}

P(B)=3/6  {4,5,6}

p(A∩B)=1/6   {5}

P(AUB)=P(A)+P(B)-P(A∩B)=1/6+3/6-1/6=3/6=1/2

b.

let  event C=number<5

D=even number

C=[1,2,3,4}

D={2,4,6}

C∩D={2,4}

P(C)=4/6

P(D)=3/6

P(C∩D)=2/6

P(C∪D)=P(C)+P(D)-P(C∩D)=4/6+3/6-2/6=5/6

c.

let event E=number 2

F= an odd number.

E={2}

F={1,3,5}

E∩F={}

P(E)=1/6

P(F)=3/6

P(E∩F)=0

P(E∪F)=P(E)+P(F)-P(E∩F)=1/6+3/6-0=4/6=2/3

Answer:

the cougars scored 1 point and the eagles scored 8 points

Step-by-step explanation:

if the cougars would have scored 3 times more points they would have been at which means they scored 1 point because 1x3=3. and if the eagles scores 7 more points than the cougars they would have scored 8 points because 1+7=8.   :)

x = # of days.

1.5x = 47.075

Divide both sides by 1.5

x = 31.38 days

Answer:

-5^4

Step-by-step explanation:

I hope this helped.

Answer:

a = 1

Step-by-step explanation:

Step 1: Write equation

a - 2(4 - a) = 7a - 12

Step 2: Solve for a

Distribute -2: a - 8 + 2a = 7a - 12

Combine like terms: 3a - 8 = 7a - 12

Subtract 3a on both sides: -8 = 4a - 12

Add 12 on both sides: 4 = 4a

Divide both sides by 4: a = 1

Step 3: Check

Plug in x to verify if it's a solution.

1 - 2(4 - 1) = 7(1) - 12

1 - 2(3) = 7 - 12

1 - 6 = -5

-5 = -5

Answer:

Step-by-step explanation:

equation given:   a - 2(4 - a) = 7a - 12

distribute and expand the equation

a - 8 + 2a = 7a - 12

combine similar terms:

a + 2a - 7a = -12 + 8

simplify:

-4a = -4

a = -4 / -4

proof that a = 1

a - 2(4 - a) = 7a - 12

1 - 2(4 - 1) = 7(1) - 12

1 - 2(3) = 7 - 12

1 - 6 = -5

-5 = -5  therefore, the a = 1 is correct.

Answer:

I think it is 2.94 cm

Answer:

7.4676

Step-by-step explanation:

19.88-16.94=2.94 then convert it to cm 7.4676

Answer:

fruit garden

Step-by-step explanation:Its 60 Cents- answer came from Apex

Answer:

Step-by-step explanation:

Answer:

22 weeks

Step-by-step explanation:

Equation: 40 + 15w = 370

370 - 40 = 330

330/15 = 22

22 weeks is your answer.

Hopefully this helps you

pls mark brainlest

Answer:

66.59 is the answer

Answer:

66.95

Step-by-step explanation:

Answer is 66.95

Answer:

x = 3

Step-by-step explanation:

Simplifying

4 + -7x = 1 + -6x

Solving

4 + -7x = 1 + -6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '6x' to each side of the equation.

4 + -7x + 6x = 1 + -6x + 6x

Combine like terms: -7x + 6x = -1x

4 + -1x = 1 + -6x + 6x

Combine like terms: -6x + 6x = 0

4 + -1x = 1 + 0

4 + -1x = 1

Add '-4' to each side of the equation.

4 + -4 + -1x = 1 + -4

Combine like terms: 4 + -4 = 0

0 + -1x = 1 + -4

-1x = 1 + -4

Combine like terms: 1 + -4 = -3

-1x = -3

Divide each side by '-1'.

x = 3

Simplifying

x = 3

Answer: sometimes

explanation:

if there are two points then there could be a line to connect them, however, there could always be two points that are separate on their own.

Answer:

Always

Step-by-step explanation:

If 2 distinct points lie on the plane then it determines the line. You can also verify if you can find the slope, with these 2 coordinate points, and then find the equation of the line but using point slop form and/or slope intercept form which is y=mx+b

The value of y is 27. (first option.)

isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

27

Step-by-step explanation:

2(3y + 6 +3)

2(9 + 3y)

18 + 6y

18 + 6y = 196 -16

6y =196 -16 -18  

6y = 162

162 divided by 6 = 27

y =27