Find the equation in standard form of the line passing through the points(5,1) and (-2,3)

Answer:

y = -2x+6

y=8  when x = -1

Step-by-step explanation:

2x + y = 6

Slope intercept form is  y = mx+b where m is the slope and y is the intercept

Solve for y

Subtract 2x from each side

y = -2x+6

The slope is -2 and the y intercept is -6

Let x = -1

y = -2(-1) +6

y = 2+6

y=8

(-1,8)

Answer:

y = -2x + 6

y = 8

Step-by-step explanation:

Rewrite this equation in Slope Intercept form

2x + y = 6

Subtract 2x from both sides

y = -2x + 6

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

solve the equation at x = -1

y = -2(-1) + 6

y = 2 + 6

y = 8

Answer:

r≈5.09cm

Step-by-step explanation:

Answer:

below

Step-by-step explanation:

steps are shown above

Answer

177.62

Step-by-step explanation:

Answer:

Sophia can drive 3672 miles using 18 galloons of gas.

Step-by-step explanation:

204 x 18 = 3672.

Calculate miles per gallon by dividing the miles she drove you the gallons used:

204/8 = 25.5 miles per gallon.

Now multiply miles per gallon by gallons:

25.5 x 18 = 459 miles

Answer: 459 miles

Answer:

A. 8/5

Step-by-step explanation:

please be careful when typing the question. you made a mistake here (you wrote "x+2" instead of "x+1"). luckily you have provided also the screen shot.

the used symbolism of a composite function is nothing else than asking for

g(h(x)) for x=-3.

so, first we need to calculate h(-3) = 4 - -3 = 7

then we take that result as argument for g : g(7) = 8/5

so, altogether

g(h(-3)) = g(7) = 8/5

we can do this generically for x by substituting x in g by the expression of h

g(h(x)) = ((4-x) + 1) / ((4-x) - 2) = (5-x)/(2-x)

for x = -3 this gives (5- -3)/(2- -3) = 8/5

The value of the composite function  (g o h) (-3) is 9/5.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

First, we need to find the composition g o h, which means we need to substitute h(x) into g(x), so that:

(g o h)(x)

= g(h(x))

= g(4 - x)

= [(4 - x) + 2] / [(4 - x) - 2]

= (6 - x) / (2 - x)

Now, we can find (g o h)(-3) by substituting x = -3 into the expression above, which gives:

(g o h)(-3)

= (6 - (-3)) / (2 - (-3))

= 9 / 5

Therefore,

The value of (g o h)(-3) is 9/5.

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Answer: 3 7/12

Step-by-step explanation:

1. Solving the whole number

4-1=3

2. Solving the fraction parts

3/4 - 1/6=

Find the LCM. The LCM is 12 so we rewrite the factions like this:

9/12-2/12=7/12

3. Add.

3+ 7/12= 3 7/12

Hey there!

4 3/4 - 1 1/6

= 19/4 - 7/6

= (19 × 6) - (7 × 4) / 4 × 6

19 × 6 = 114

7 × 4 = 28

= 114 - 28 / 4 × 6

4 × 6 = 24

114 - 28 / 24

114 - 28 = 86

= 86/24

= 3 7/12

Answer: 86/24 OR 3 7/12

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

6 triangles

i am not very sure thou

Answer:

2700 seconds

Step-by-step explanation:

The notation " ' " is said as "minutes".

° = degrees; ' = minutes; " = seconds

45 minutes

1 minute = 60 seconds

1*45=60*45

45 minutes = 2700 seconds

Answer:

the value of p is 7

Step-by-step explanation:

Given function;

f(x) = 2x³ - 7px + (p - 12)

factor of the given function = x - 5

Apply remainder theorem to solve for p

f(x - 5) = 0

x - 5 = 0

x = 5

f(5) = 2(5)³ - 7p(5) + (p - 12) = 0

        2(125) - 35p  + p - 12 = 0

         250 - 34p  - 12 = 0

        238  - 34p = 0  

           34p  = 238

                p = 238/34

                 p = 7

Therefore, the value of p is 7

Answer:

2 ( 3x - 9y + 18)

3 ( 3x - 6y + 12)

Inclusively:

6 ( x - 3y + 6)

Answer:

False ..... ....... . . .. ..

Answer:

Proved

Step-by-step explanation:

picture above explains it but it requires me 20 words in order to answer this question so don't mind this. (If anyone is willing to help me answer my chemistry question, thanks)

Answer:

95

Step-by-step explanation:

jdisusyhsyysysyydyydyyddhdhhdhhdhhd random

Answer:

-6 and 11

Step-by-step explanation:

The only factors of 66 are 11, 6, 2 and 3

11*6 is the only pair whose product is 66

The difference betwen 11 and 6 is 5

11 must be positive and 6 negative since the sum is positve

Cylinder A -

Surface Area:

A = 2πrh + 2πr^2

A = 2 · π · 5 · 7.5 + 2 · π · 25 ≈ 392.69908

A = 392.7 cm^2

Volume:

V = πr^2h

V = π · 25 · 7.5 ≈ 589.04862

V = 589 cm^3

Cylinder B -

Surface Area:

A = 2πrh + 2πr^2

A = 2 · π · 3.5 · 5 + 2 · π · 12.25 ≈ 186.92476

A = 186.9 cm^2

Volume:

V = πr^2h

V = π · 12.25 · 5 ≈ 192.42255

V = 192.4 cm^3

Answer:

a) surface area: 125pi     volume: 187.5pi

b) (i dont know what you mean by "in terms of ." so ill give both)

surface area: 210pi or 659.734     volume: 61.25pi or 192.422

Step-by-step explanation:

a) surface area is this

2pirh+2pir^2

plug it in..

2pi(5)(7.5)+2pi(5)^2

simplify...

75pi+50pi

125pi

volume is this

pir^2h

plug it in...

pi(5)^2(7.5)

simplify...

187.5pi

b is basically same steps.

(i had to replace all the pi symbols with "pi" because it was inappropriate???)

Answer:

2√10

Step-by-step explanation:

√40 = √(2 × 2 × 2 × 5) = 2√10.

Answer:

6748.8 km

Step-by-step explanation:

in 1 hour = 1824

in 3.7 hour = 1824×3.7

=6748.8 km

Answer:

a). 840 b). 14

Step-by-step explanation:

a). 840 miles

350 miles ÷ 25 gallons = 14

14 (miles per gallon) x 60 gallons of gas = 840

b). 14

(first step of the first answer)

350 miles ÷ 25 gallons = 14 miles per gallon

hope this helped!

a) 840 miles can go for 60 gallons of gas.

b) The mileage is 14 miles per gallon.

Here, we have,

given that,

A new truck can travel 350 miles on 25 gallons of gas.

now, we have,

a). we get,

the milage of the truck is:

350 miles ÷ 25 gallons = 14

so, we get,

for 60 gallons of gas it can go:

14 (miles per gallon) x 60 gallons of gas = 840

so, 840 miles can go for 60 gallons of gas.

b). and, again we have,

the milage of the truck is:

(first step of the first answer)

350 miles ÷ 25 gallons = 14 miles per gallon

so, The mileage is 14 miles per gallon.

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Answer:25%

Step-by-step explanation:A pectange has to be out of 100 so that means 5/20 is 25/100 because 20 times 5 equals 100 and 5 times 5 equals 25 making it 25%.

Answer:

Step-by-step explanation:

3

Answer:

a = 5

Step-by-step explanation:

Angles A and B are the same at 45, a and b are also the same

The law of sines is based on the proportionality of sides and angles in triangles. The law states that for the angles of a non-right triangle, each angle of the triangle has the same ratio of angle measure to sine value.

sin(A)/a = sin(B)/b = sin(C)/c

Substitute the known values into the law of sines to find a.

SinA / a = sin(90) / 5√2

a = 5

Answer:

The answer is A.

Step-by-step explanation:

The answer is A because an obtuse angle rounds to 120 degrees, then you divide it by 6 which is A.

Answer:

-25, -14, -10, -9, -8, -7, 0, 2

Step-by-step explanation:

You do thing and it work

Answer:

Box Number 3.

Step-by-step explanation:

4 is a coefficient in 4x because 4x is really 4*x which has 4 multiplying x. This is the same as 4 working with x. Also none of the other answers are true.

Answer:

1 a) 124

Step-by-step explanation:

x +1 /5 =25

x +1 =25*5

x+ 1=125

x = 125-1

x=124