On a coordinate plane, the coordinates of vertices R and T for a polygon are R(−6, 2) and T(5, 2). What is the length of Side RT of the polygon?

4 unit
6 units
7 units
11 units

Answer:

y=3x

Step-by-step explanation:

The equation of a line can be written as 'y=mx+b', where 'm' is the slope, 'b' is a number, and 'x' and 'y' represent the 'x' and 'y' co-ordinates of any point on the line.

To find the slope m, take two points (x₁,y₁) and (x₂,y₂) and use the formula

m= (y₂-y₁)/(x₂-x₁)

Our points are (1,3) and (2,6):

(6-3)/(2-1)=3/1=3

Now that we have found the slope, we can write the equation as

y=3x+b

To find b, sub in a point:

9=3(3)+b

9=9+b

b=0

So our equation is y=3x

Answer:

14/6

Step-by-step explanation:

Answer:

The answer is "Option C".

Step-by-step explanation:

Given:

[tex]\to f(x)=2x^2-3x+1\\\\when \ x=1\\\\\to f(1)= 2(1)^2-3(1)+1\\\\\to f(1)= 2(1)-3+1\\\\\to f(1)= 2-3+1\\\\\to f(1)=-1+1\\\\\to f(1)=0[/tex]

That's why choice C is correct.

4 and 1

Step-by-step explanation:

Supplementary means the angle is 180 degrees so 4 is the only complete obvious 180 degree angle and 1 just cause i know it can't be 5.

Answer:

C. 4 and 5

I hope I was able to help.

Given:

The equation of a function is

[tex]y=(x-4)^2+1[/tex]

To find:

The graph of the given function.

Solution:

The vertex form of a parabola is

[tex]y=(x-h)^2+k[/tex]        ...(i)

Where, (h,k) is vertex of the parabola.

We have,

[tex]y=(x-4)^2+1[/tex]         ...(ii)

From (i) and (ii), we get

[tex]h=4, k=1[/tex]

The vertex of the parabola is (4,1).

Now, the table of values is

x             y

2            5

3            2

4             1

5            2

6            5

Plot these points on a coordinate plane and connect them by a free hand curve.

The graph of given function is shown below.

Step-by-step explanation:Graph inequalities or systems of inequalities with our free step-by-step math ... This system is composed of two number lines that are perpendicular at their zero points. ... You can usually find examples of these graphs in the financial section of a ... and below the line while all the points that will not are above and to the right.

Answer:

The car is 10 miles from parking lot.

Step-by-step explanation:

Given that:

The car travels 6 miles north and 8 miles east.

This forms the two legs of a right angled triangle.

The distance from car to parking lot will be hypotenuse.

Using Pythagorean theorem;

[tex]a^2+b^2=c^2\\(6)^2+(8)^2= c^2\\c^2 = 36 + 64 \\c^2 = 100[/tex]

Taking square root on both sides

[tex]\sqrt{c^2}=\sqrt{100}\\c=10[/tex]

Hence,

The car is 10 miles from parking lot.

Answer:

0.210 ; 0.790

Step-by-step explanation:

Given that:

Percentage of correct completion by technician = 21%

Percentage of minor error = 70%

Major error in chemical measurement of sample = 9%

A.) probability that a randomly selected technician completes preparation without error:

This is equal to the percentage of correct completion by technicians :

P(correct completion) = 21% = 0.210

B.) probability that it is completed with either a minor or major error :

P(completion with minor error) + P(completion with major error)

= 70% + 9%

= 0.70 + 0.09

= 0.790

Answer:

[tex]x^2+(y+1)^2=2[/tex]

Step-by-step explanation:

We use the formula for a circle with center at (0, -1), that goes through the (x, y) point (-1, -2):

[tex](x-0)^2 + (y-(-1))^2 = R^2\\Using \,\,\,point\,\,\,(-1, -2)\\(-1-0)^2+ (-2+1)^2 = 1 + 1 = 2 = R^2[/tex]

Therefore, the equation of this circle can be written as:

[tex]x^2+(y+1)^2=2[/tex]

Answer:

Let say the another number y

N×Y=94

Y=94/N

So the algebric expression is 94/N

Answer:

12,000 ibs = 6 ton

divide 12,000 by 2,000 to get this answer

Step-by-step explanation:

so in decimal form is 0.06 ( move two places to left)  

Answer:

14.204 years

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

Answer:

plasma

Step-by-step explanation:

just not photosynthesis or gravity so it has to be plasma

also:

The aurora borealis (northern lights) form when charged particles emitted from the sun during a solar flare penetrate the earth's magnetic shield and collide with atoms and molecules in our atmosphere.

and

Because it consists of charged particles, plasma can conduct electricity and respond to a magnetic field.

^^bolded stuff is connected points to make plasma the answer

Answer:

Zander ran 13 1/8 miles

Step-by-step explanation:

Manny = M

Zander = Z

Z=M(5/6)

Z=15 3/4(5/6)

Z=13 1/8

Answer:

Step-by-step explanation:

The answer is 33.2

Answer:

33.2

Step-by-step explanation:

332*0.1=33.2

Answer:

Step-by-step explanation:

To find the amount he ate we just add the fractions:

3/8 +1/2 = 7/8 or 0.875

HOPE THIS HELPS!

HAVE A GR8 DAY ;-)

Answer:

21 yards

Step-by-step explanation:

There will be 21 yards in 63 feet of the measurement.

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication and division.

Given that one yard is equal to three feet. There are 63 feet of measurement.

The value of 63 feet in yards will be calculated as:-

1 yard = 3 feet

1 feet = 1 / 3  yards

63 feet = ( 63 / 3 ) yards

63 feet = 21 yards

Therefore, there are 21 yards in 63 feet of the measurement.

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Answer:

97

Step-by-step explanation:

I used the law of cosines:  [tex]t^{2} =s^{2} +u^{2} -2tu cos (t)[/tex]

Let plug the numbers in :  t^2=[tex]13^{2} +84^{2} -2(13)(84)cos (165)[/tex] which approx is 97 to the nearest inch.

The length of 't' is approximately 69 inches.

To find the length of t, we can use the Law of Cosines, which states that for any triangle with sides a, b, and c and opposite angles A, B, and C, respectively:

a²= b² + c² - 2bc cos(A)

In this case, we want to find the length of t, which is opposite to the given angle ∠T. We know that:

u = 84 inches (opposite to angle ∠U)

s = 13 inches (opposite to angle ∠S)

∠T = 165°

Let's substitute these values into the Law of Cosines:

t² = u²+ s²- 2us cos(T)

t²= (84)²+ (13)² - 2(84)(13) cos(165°)

t²= 7,056 + 169 - 2(84)(13)(cos(180°-15°))

t²= 7,225 - 2(84)(13)(cos(15°))

t²= 7,225 - 2(84)(13)(0.9659)

t²= 7,225 - 2,485.68

t² = 4,739.32

t ≈ 68.86

Rounding to the nearest inch, the length of t is approximately 69 inches.

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Answer:

500,000

Step-by-step explanation:

the value of 5 in the number 56242 is 500,000 or hundred thousand. to know the value of digit 5 in the number 564242 go to five the digit 5 and write zeroes after it.

have a wonderful  day

Answer:

83%

Step-by-step explanation:

65/78=.83333333333333

0.833333333 turnes into 83% once rounded and multipyled by 100

Answer:

18

Step-by-step explanation:

Answer:

- ( x + 6) I think

The Vertex is (-2,1)

And the focus is  (-2,3)

Answer:

Total Number of possible outcomes = 52

Getting a jack from a deck of 52 cards for a certain event (A) = 4

The Probability (A) = 4/ 52

= 1 / 13 = 0.07

Step-by-step explanation:

this isn't my answer but hope it helps.

Answer:

$0.52

Step-by-step explanation:

Answer:

x=50

Step-by-step explanation:

50 + 2x =150

x=50

or

50+30+2x=180

x=50