A taxicab starts at (1, -2) on the grid. It goes 3 blocks west and 4 blocks north to pick up a passenger. Then it goes 8 blocks east and 1 block south and drops off the passenger. Which rule will bring the taxicab back to its starting position?

Answers

Answer 1

Answer: It goes 3 blocks west then 8 blocks east, so it goes 5 blocks east in total.
It goes 4 blocks north and 1 block south, so it goes 3 block north in total.
So to return to its original position, it must go 5 blocks west and 3 blocks south. Therefore, your answer is the fourth choice, (x,y) ----> (x-5,y-3)

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-2x+5y=-15 5x+2y=-6 how many solutions does this system have

Graph this line using the slope and y-intercept:
y=–3x–3

Answers

Answer:

Check the attachment (image).

Step-by-step explanation:

The slope is -3, so you have to put a point on the y-intercept (where the line touches the y-axis), or -3. Then you have to put a point 3 down (so -6 on the y-axis), and 1 right (so 1 on the x-axis) since the slope is actually:
-3/1
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Cos3x+cosx=2cos2xcosx

Answers

$cos(3x)+cos(x)=2\cdot cos\left((3x+x)/(2)\right)\cdot cos\left((3x-x)/(2)\right)=2\cdot cos(2x)\cdot cos(x).$

Green eyes.

Factor
the expression 3x3 +
2x2y + 3xy2 + 2y3

Answers

$3x^3 +2x^2y + 3xy^2 + 2y^3 =\n \n=x^2(3x+2y) +y^2(3x+2y)=\n \n=(3x+2y)(x^2+y^2)$

Find the area of a sector with a central angle of 110° and a diameter of 6 cm. Round to the nearest tenth.

Answers

=1/2* r^2 * theta
r=D/2=3 cm
theta=110 deg= 1.92 radian.
area=1/2*3*3*1.92 cm2 =8.64 cm2
=8.6 cm2 (approx.)

An insect egg can be as small as two hundredths of a millimeter long. What is this number written as a decimal? The decimal number is mm.

Answers

Answer:

The length of the insect is $0.005$ millimeter

Step-by-step explanation:

The size of the insect is $(1)/(200)$ part of a millimeter

$(1)/(200) = 0.005$ millimeter

The length of the insect is $0.005$ millimeter

Which one of the following points lies on the
line y= 2x - 3

Answers

The required point for the given line is (0, -3). The correct option is (D).

What is a linear equation?

A linear equation in two variable has the general form as y = ax + by + c, where a, b and c are integers and a, b ≠ 0.

It can be represented as a straight line on a graph.

The equation of the given line is y = 2x - 3.

In order to find the point lying on it, consider each of the options one by one as follows,

(a) (2 , 3)

Substitute x = 2 and y = 3 in the given equation to obtain LHS and RHS as,

LHS = y

= 7

RHS = 2x - 3

= 2 × 2 - 3

= 1

Since, LHS ≠ RHS, the given point is not the solution.

(b) (-2, -1)

Substitute x = 2 and y = 3 in the given equation to obtain LHS and RHS as,

LHS = y

= 7

RHS = 2x - 3

= 2 × -1 - 3

= -6

Since, LHS ≠ RHS, the given point is not the solution.

Substitute x = 2 and y = 3 in the given equation to obtain LHS and RHS as,

LHS = y

= 4

RHS = 2x - 3

= 2 × 1 - 3

= -1

Since, LHS ≠ RHS, the given point is not the solution.

(d) (0, -3)

Substitute x = 2 and y = 3 in the given equation to obtain LHS and RHS as,

LHS = y

= -3

RHS = 2x - 3

= 2 × 0 - 3

= -3

Since, LHS = RHS, the given point is the solution.

Hence, the point (0, -3) is the solution of the given equation.

To know more about linear equation click on,

brainly.com/question/11897796

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