Tomas is planning out a rail trail using a map with a marked grid. The head of the trail, which has an information kiosk, is located at (3, 0). He moves 1 unit east and 3 units north and places a pin at (4, 3) to represent the location of another information kiosk. He continues to move 1 unit east and 3 units north twelve more times, placing a pin each time. Where will the last pin be placed?

Answer:

Step-by-step explanation:

use the equation of motion for a projectile moving un der gravity h = ut + (1/2)gt^2 where u = initial velocity, h = height, t = time and g = acceleration due to gravvity here u = 64 fts-1 and g = -32 ft s-2

Answer:

Step-by-step explanation:

The factors of 84 are: [tex]\pm: 1, 84, 2, 42, 3, 28, 4, 21, 6, 14, 7, 12 ...[/tex]

7 and 12 can make 5. Since 84 is negative and 5 is positive, the larger number of the two must be the positive number in the factorization. In this case, it is

[tex](x+12)(x-7)[/tex]

Answer:

[tex]\sqrt{29}[/tex]

Answer:

D. -1.5

Step-by-step explanation:

Answer:

(1 + 3i)(1 - 3i)

Step-by-step explanation:

The product of a complex number and its conjugate produce a real number.

given a ± bi the conjugate is a ∓ bi ← where a and b are real, then

(a + bi)(a - bi)

= a² - b² ← a real number

The only pair of conjugate complex numbers in the list is

(1 + 3i)(1 - 3i)

The pair of complex numbers that has a real-number product is:

(1 + 3) (1-3) = -8

Option C is the correct answer.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

For a pair of complex numbers to have a real-number product, their imaginary parts must cancel out when the product is expanded.

Let's expand each pair of complex numbers and see which one has a

real-number product:

(1 + 3) x (61) = 61 + 183i

This product has a non-zero imaginary part, so it is not a real number.

(1 + 3) x (2-3) = -5 + 5i

This product has a non-zero imaginary part, so it is not a real number.

(1 + 3) x (1-3) = -8

This product has no imaginary part, so it is a real number.

(1 + 3) x (31) = 124 + 124i

This product has a non-zero imaginary part, so it is not a real number.

Therefore,

The pair of complex numbers that has a real-number product is:

(1 + 3) (1-3) = -8

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ7

Answer:

b

Step-by-step explanation:

I double checked, its b

9514 1404 393

Answer:

Step-by-step explanation:

6 of the 10 bars are shaded, so the shaded area is 6/10 of the whole.

"Six tenths" as a decimal is 0.6, that is, a number with 6 in the tenths place.

To convert the number to a percent, multiply either the fraction or the decimal by 100%.

  0.6 × 100% = 60%

Answer:

13%

Step-by-step explanation:

Increase = (New Number - Old Number) / Old Number

(130 - 115) / 115

15/115 = 0.130434783.

0.130434783 * 100 (to get the percentage) = 13.0%

Answer:

m=7/2

Step-by-step explanation:

Answer:

x=2

y=-1

z=3

Step-by-step explanation:

X = 7+2y-z

3(7+2y-z)+y-z=2

21+6y-3z+y-z=2

21+7y-4z=2

7y-4z=-19 (subtract both side by 21)

2(7+2y-z)+3y+2z=7

14+4y-2z+3y+2z=7

14+7y=7

7y=-7 (subtract both side by 14)

y=-1 (divide both side by 7)

{7y-4z=-19

{y=-1

7.-1 - 4z=-19

-7-4z=-19

-4z=-12

Z=3

x=7+2y-z (y=-1 z=3)

x=7+2.-1 - 3

x=7-2-3

x=2

Answer: (2,2)

Step-by-step explanation:

The solution of the system of equations is the intersection point, or the point where both lines meet. Looking at the graph, we see that the blue and red line meet at (2,2). That means the solution is (2,2).

We can also solve this algebraically. Since we are given that y=x, we can plug that into the equation and solve.

y+2y=6       [combine like terms]

3y=6            [divide both sides by 3]

y=2

Since we are told that y=x, we know that x is also 2. This tells us that the solution is also (2,2).

Answer:

First Answer Yay

Answer:

y = -23x + 85

Step-by-step explanation:

for an equation to be parallel to another, they must have the same slope. So plugging in (4, -7) we get -7 = -23(4) + P. P being the new y intercept we must find. Now simple algebra add -23(4) = -92 to both sides and we get 85 = P. Plug in to y = mx + b and we get

y = -23x + 85

Answer:

y= -3/2x + 2

Step-by-step explanation:

Answer: x=7 or undefined

Step-by-step explanation:

We can't write x=7 in slope intercept form, since it doesn't have an actual slope or y-intercept. You could put undefined, since the slope is undefined.

Answer:

180-43=137....................

50 percent is c.x=5,y=2.

Answer:

X= 5, y= 2

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

Substitute 4 for x

2(4) +3

Answer:

11

Step-by-step explanation:

F(x) = 2x+3 is just a function, so if you replace one of the "x" with 4 you have to replace the other one so it just becomes

F(4) = 2(4) + 3 then you do 2(4) = 8 then add 3 to it and it gets you 11.

hope this helps

Answer:

a

Step-by-step explanation:

i just know

Answer:

3x+3

Step-by-step explanation:

rise over run and y-intercept

Answer: 56

Step-by-step explanation:

Answer:

Here's the answer

Step-by-step explanation

y= 18x+9.20

Answer:

at least 1.7

Step-by-step explanation:

i think sorry if wrong

Answer:

Step-by-step explanation:

i believe the question is asking for slope

so for the first one: it's -1/2

second one: 3/2

Answer:

E

Step-by-step explanation:

Answer:

33.3333333

Step-by-step explanation:

Answer:7?

Step-by-step explanation:

Rise 7

Run. 1

Answer:

-3/9

Step-by-step explanation:

m = 1 - 4/11 - 2 (this is the form it's in: m = y2 - y1/x2 - x1)

m = -3/9

rise: -3

run: 9

(m = slope)

if this doesn't make sense look up "how to find the slope of two points"

hope this helps!