using the slope formula, find the slope of the line through the given points (8,0) and (2,-4)

Answer:

The 4 colonies were: A: New York, B: Pennsylvania, E: Delaware, F: New Jersey.

Step-by-step explanation:

Consider the provided information.

The Middle Colonies, found between the New England Colonies and the Southern Colonies, were a branch of the Thirteen Colonies in British America.

The four colonies that were considered to be part of the Middle Colonies are:

New Jersey, Pennsylvania, New York and Delaware Colony

So, the 4 colonies were: A: New York, B: Pennsylvania, E: Delaware, F: New Jersey.

Answer:

Initial value = 14.7

Rate of change = 0.445

Step-by-step explanation:

Given the linear function :

P(d) = 0.445d + 14.7

The linear equation above takes the general. Form of a slope - intercept equation :

y = mx + c

Where ; m = slope or gradient = rate of change in y per unit change in x

c = intercept , which is the intial value of y when x = 0

Thus using the above information ;

Initial value = intercept value = 14.7

The rate of change is the slope value = 0.445

[tex]\boxed{\boxed{\pink{\bf The \ two \ numbers \ are \ 12 \& \ 85 . }}}[/tex]

Given that , One number is 1 more than 7 times the other number. If their sum is 73 more than

twice the smaller number. And we need to find the numbers. So let us take the

[tex]\underline{\red{\boldsymbol{ According \ to \ the \ Question :- }}}[/tex]

[tex]\bf\implies 2( Small \ no.) + 73 = Bigger \ no. + Smaller \ no.\\\\\bf\implies 2x + 73 = x + 7x + 1\\\\\bf\implies 2x + 73 = 8x + 1 \\\\\bf\implies 8x - 2x = 73-1 \\\\\bf\implies 6x = 72 \\\\\bf\implies x =\dfrac{72}{6} \\\\\bf\implies \boxed{\red{\bf x = 12 }}[/tex]

Hence the smaller number is 12 and the bigger number will be :-

[tex]\bf \implies Number_{bigger} = 7x + 1 \\\\\bf\implies Number_{bigger} =7(12)+1\\\\\bf\implies Number_{bigger} = 84 + 1 \\\\\bf\implies \boxed{\red{\bf Number_{bigger}=85 }}[/tex]

Step-by-step explanation:

let us say the number: x

7x+1=y

x+y=73+2x

y-73=2x-x

y-73=x or

x=y-73

then, 7x+1=y

x=y-73

then after,we'll substitute

7x+1=y

7(y-73)+1=y

7y-511+1=y

7y-510=y

7y-y=510

6y=510

y=510/6

y=85

x=y-73

x=85-73

x=12

Therefore y=85 & x=12

Answer:

Step-by-step explanation:

cos^2θ = 1 - sin^2θ = 1 - 144/169 = 25/169

cos θ is positive in Quadrant IV

cos θ = √(25/169) = 5/13

The value of the cos θ is 5/13 because cos is positive in IV option (A) is correct.

Trigonometric functions defined as the functions which show the relationship between angle and sides of a right-angled triangle.

We have: The terminal side of θ is in quadrant IV quadrant

sinθ = -12/13

cos²θ = 1 - sin²θ

cos²θ  = 1 - (-12/13)²

cos²θ = 1 - 144/169

cos²θ = 25/169

cos θ = √(25/169)

cos θ = 5/13

cos θ is positive in Quadrant IV

Thus, the value of the cos θ is 5/13 because cos is positive in IV option (A) is correct.

Learn more about Trigonometric functions here:

https://brainly.com/question/6904750

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Answer:

Slope: -3/5

Step-by-step explanation:

Answer:

1. (2x^2+x-1)

Step-by-step explanation:

expanding (2x^2-1)^2. multiplying (x-2) (1-2x)

= 4x^2-4x+1. = x-2x^2-2+4x

= -2x^2+5x-2

(4x^2-4x+1-2x^2+5x-2)

=2x^2+x-1

Answer:

1.) (2x - 1)(x + 1)

2.) a = 6 ; b = -1

4.a.) x = all rational numbers excluding (-2÷3)

4.b.) x = -1

4.c.) Yes. x = 1÷2

Step-by-step explanation:

E(x) = (2x - 1)² + (x - 2)(1 - 2x) F(x) = ax²-bx-2

F(1) = 5 ; F(-2) = 20

a-b=7 ; 4a+2b=22

3.Answer) Q(x) = 6x² + x - 2

= 6x² + 4x - 3x - 2

= (3x + 2)×(2x - 1)

Hence verified!

P(x) = E(x) ÷ Q(x)

= (x + 1)÷(3x + 2)

Here, x belongs to,

[tex]( - \infty \: to \: - 2 \div 3) union( - 2 \div 3 \: to \: \infty )[/tex]

Means, except x = -2÷3 , all real numbers are valid excluding complex numbers.

P(x) = (x + 1)÷(3x +2) = 0

= > x = -1

Answer:

Distance cover in 7 hour = 28 kilometer

Step-by-step explanation:

Given:

Distance = 40 kilometers

Time taken =  10 hour

Find:

Distance cover in 7 hour

Computation:

Distance cover in 7 hour = (40/10)7

Distance cover in 7 hour = (4)7

Distance cover in 7 hour = 28 kilometer

Answer:

The answer to the question provided is

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

Answer:

A=πr2

Step-by-step explanation:

Answer:

A= πr²

r = Radius

Step-by-step explanation:

In geometry, the area enclosed by a circle of radius r is πr². Here the Greek letter π represents the constant ratio of the circumference of any circle to its diameter, approximately equal to 3.14159.

Answer: 1/30

Step-by-step explanation:

Here's the correct question:

A dump truck brought 1⁄3 of a ton of rock on the first trip, 1⁄2 of a ton on the second trip, but on the third trip, had to take back 4⁄5 of a ton. What was the total weight of the rock left at the construction site?

To calculate the the total weight of the rock left at the construction site goes thus:

= 1/3 + 1/2 - 4/5

The lowest common multiple of 3,2 and 5 is 30. Therefore, we'll make the fractions have a common denominator.

= 1/3 + 1/2 - 4/5

= 10/30 + 15/30 - 24/30.

= 1/30

Answer:

In mathematics, a ratio indicates how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six. Similarly, the ratio of lemons to oranges is 6∶8 and the ratio of oranges to the total amount of fruit is 8∶14.

Step-by-step explanation/example

The car was traveling 60 miles per hour, or 60 miles in 1 hour. You have a 1 in 28,000,000 chance of winning the lottery. Out of every possible scenario, only 1 out of 28,000,000 of them has you winning the lottery.

Answer:

China can have the brainiest.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

I got it right on plato

Answer:

a)  [tex]G(x)= \sin x + 2[/tex]

b) The coordinates of P are

[tex]\displaystyle \left( \frac{3\pi}{2},1\right)[/tex]

Step-by-step explanation:

Translation

The dashed line shows the graph of the function

[tex]y = \sin x[/tex]

This function has a maximum value of 1, a minimum value of -1, and a center value of 0.

a)

Graph G shows the same function but translated by 2 units up, thus the equation of G is:

[tex]\boxed{G(x)= \sin x + 2}[/tex]

b) The coordinates of P correspond to the value of

[tex]x = \frac{3\pi}{2}[/tex]

The value of G is

[tex]\displaystyle G(\frac{3\pi}{2})= \sin \frac{3\pi}{2} + 2[/tex]

Since

[tex]\sin \frac{3\pi}{2}=-1[/tex]

[tex]\displaystyle G(\frac{3\pi}{2})= -1+ 2=1[/tex]

The coordinates of P are

[tex]\displaystyle \left( \frac{3\pi}{2},1\right)[/tex]

Step-by-step explanation:

LHS= 1 + cot^2A/1+cosecA

=(1+cosecA + cot^2A)/1+cosecA

{By using basic trigonometric theorem cot^2A = cosec^2A - 1}

=(1+cosecA + cosec^2A - 1)/(1+cosecA)

=(cosecA + cosec^2A)/(1+cosecA)

=[cosecA (1+cosecA)]/(1+cosecA)

{Cancelling 1+cosecA}

=cosecA

Answer:

B    ( -1,-7)

A    (-3,-2)

C    (6, -1)

Step-by-step explanation:

Explanation:-

Given vertices are A( -3,2) , B(-1,7) and C(6,1)

Reflection about the x-axis then the coordinate points are transformed to

(x,y)→ (x,-y)

A(-3,2)→ A¹(-3,-2)

B(-1,7)→ B¹(-1,-7)

C(6,1)→ C¹(6,-1)

Answer:

d 812 821 here is the answer

Answer:

The area is 888.04 square ft

Answer:

200 readers

Step-by-step explanation:

question is:  5% of what number is 10

is  =  percent

of           100

is = 10

of = unknown (call is 'n')

5% = 5/100

10  =  5  

x        100

now, cross-multiply:  5x = 1000

divide each side by 5

x = 200

3rd one

Step-by-step explanation:

Answer:

Y-7 is the answerr

Step-by-step explanation:

Because there's is a minus sign behind of the y

Answer:

y = 3x + 1

Step-by-step explanation:

As you can see the y-intercept is at the number 1

and for the slope, if u do rise over run or y/x you get....

3/1 = 3

So the slope is 3

Hope this helped!

Answer:

No solutions

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Answer:

to answer this question i need to know what and what x together to get the area

Step-by-step explanation

Step-by-step explanation:

This is an incomplete question. Kindly complete it for assistance

Step-by-step explanation:

Aaron (A)=30 years old currently. (Aaron's son (S)=10 years old currently)

PREMISES

3S+10=2(S+10)

ASSUMPTIONS

Let A=Aaron's “current” age (3S in terms of his son's age)

Let S=Aaron's son's “current” age (S)

CALCULATIONS

3S+10=2(S+10)

3S+10=2S+20

(3S-2S)+10=(2S-2S)+20

S+10=0+20

S+(10–10)=20–10

S+0=10

S=

10 years old

and,

if S=10 years old, then

A=3S (Aaron's “current” age in terms of his son's age)

A=3(10)

A=

30 years old

PROOF

If A=30 years old, then the equations

3S+10=2(S+10)

3(10)+10=2(10)+20

30+10=20+20 and

40=40 establish the roots (zeros) A, S={30 years old, 10 years old} of the mathematical statement 3S+10=2(S+10)