After a shipwreck, Florence is stranded on a desert island. She needs to build a shelter, so she makes an axe using materials from the wreckage and starts cutting down trees.
There is a proportional relationship between the number of days Florence is stranded on the island, x, and the total number of trees she cuts down, y.

Answer:

x  ≤ − 9

Step-by-step explanation:

x + 5 ≤ − 4

Subtract 5 from each side

x + 5-5 ≤ − 4-5

x  ≤ − 9

Answer:

39 sq km

Step-by-step explanation:

SA = area of the base + 1/2(perimeter of the base)(slant height)

= 3² + 1/2(3×4)(5)

= 9 + 6(5)

= 39

Answer:

[tex]\frac{8}{15}[/tex]

Step-by-step explanation:

2 x 4 = 8

3 x 5 = 15

8/15

Answer:

See the attached image for the graph of the first system.

Step-by-step explanation:

Here's how to graph the first system.

Start with the inequality [tex]-y \le -2x-3[/tex].  You can make this easier to work with by multiplying through by -1.  Remember to switch the inequality sign when multiplying by a negative number.  OK, you get the inequality

[tex]y \ge 2x+3[/tex].

The graph will be a half-plane -- all the points on one side of a line.  The line that is the boundary of the half-plane has an equation:  [tex]y=2x+3[/tex] -- just use an  =  sign instead of the inequality sign.

Graph the line.

The equation of the line is in slope-intercept form:  y = mx + b, so you can tell the y-intercept is 3 and the slope is 2 (think of it as a fraction 2/1).  Graph the line by going to the point (0, 3) -- the y-intercept -- then use the slope 2/1 interpreted as "rise over run" to go up 2 units and right 1 unit, arriving at the point (1, 5).  Draw the line through those points, (0, 3) and (1, 5).

Now you have to decide which side of the line the inequality [tex]y \ge 2x+3[/tex] is describing. To do this, pick a point which is not on the line, plug its coordinates into the inequality; if the result is true, shade the side of the line the point you picked is on (if false, shade the other side!)

An easy point to pick in this case is the origin, (0, 0).  Put zeros in for x and y in the inequality, and you'll get the statement [tex]0 \ge 2(0)+3 \, \Rightarrow \, 0 \ge 3[/tex].  That's false, so shade the side of the line not containing the origin.  In the image below, the shading is in purple.

All right, now for the other inequality, [tex]x+2\le 0[/tex].  Subtract 2 from both sides and the inequality becomes [tex]x \le -2[/tex].  This, too, graphs as a half-plane whose boundary line has equation [tex]x=-2[/tex].  Graph the line.  A line with an equation that has  x  in it but not  y is a vertical line with all its x-coordinates equal to the number on the right side of the equation.  This line is vertical and goes through points such as (-2, 0).

Pick a point not on the line (the origin works again).  Put the coordinates into the inequality to get [tex]0\le -2[/tex] which is false.  Shade the side of the vertical line which does not contain the origin.  In the image below, the shading is in black.

Finally,  YAY!  \o/ ,  the solutions to the system are all the points in the plane that got shaded twice.  In the image, they are the cross-hatched points above the purple line and to left of the black line.

Note: If you get a system with three inequalities, you'll be graphing three half-planes and looking for points that got shaded three times!

Note: One of your questions has the inequalities [tex]x \ge 0[/tex] and [tex]y \ge 0[/tex] in it.  These two inequalities say that the x and y coordinates are both positive or zero, confining your attention to Quadrant I in the upper-right part of a graph, above the x-axis and to the right of the y-axis.

Answer:

(5, - 3 )

Step-by-step explanation:

Under a refection in the line y = x

a point x, y ) → (y, x ), then

(- 3, 5 ) → (5, - 3 )

The reflection vector is (5, -3) after reflecting over line y = x the answer is (5, -3).

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

We have:

The vector is (-3, 5)

The reflection line is y = x

The transformation rule:

(x, y) → (y, x)

(-3, 5) → (5, -3)

Thus, the reflection vector is (5, -3) after reflecting over line y = x the answer is (5, -3).

Learn more about the geometric transformation here:

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Answer:

c is correct

Step-by-step explanation:

Answer:

earthquake

Step-by-step explanation:

I think it's right

For the perimeter use the formula 2x3.14xr

step 1: divide the 20 by 2

step2:multiply 3.14 by the qoutient of the division

step3:divide again by 2

For the area the formula is 3.14 x r x r

the r is the qoutient on step one

step 1: multiply both Rs

step2: multiply the 3.14 by the product of step one.

and you are done i hope it helps you

Answer:

Hello! answer: 22.96

Step-by-step explanation:

Area is base × height × 1/2 or base × height ÷ 2

Im going to use the second method.

8.2 × 5.6 = 45.92 45.92 ÷ 2 = 22.96 therefore the answer is 22.96

Answer:

6

Step-by-step explanation:

First side times hight or 3x4=12

12 is a whole square, but this is a triangle (Half of a square)

So we divide by 2 to find the area. 12/2=6

6

Answer:

Area=6

Step-by-step explanation:

Since the measurements of this right angle is 3 and 4 you have to multiply them together to get 12 but then you must divide that answer by 2 making the answer 6

Answer:

(-3,8)

Step-by-step explanation:

Given the coordinates of the endpoints of EF are E( – 9,11) and F(1,6). Point G is on EF and divides it such that EG:FG is 2:3.

Coordinate of G is expressed as shown;

X = ax1+bx2/a+b

X = -9(2)+3(1)/2+3

X = -18+3/5

X = -15/5

X = -3

Similarly;

Y = ay1+by2/a+b

Y = 2(11)+6(3)/2+3

Y = 22+18/5

Y = 40/5

Y = 8

Hence the coordinate of point G is at (-3,8)

Answer:

those 4 options are wrong, unless I am d.u.m.b

Step-by-step explanation:

both of those figures have 6 faces, and 8 edges.

Have a nice day! :-)

Answer:

Each shape has 12 edges

Step-by-step explanation:

Every cube (regular hexahedron) has 6 square faces and each face has 4 edges. However, each edge is shared between 2 faces. So, you can determine how many edges there are by multiplying 6 x 4 and dividing the resulting number (24) by 2, getting the final number of 12.

Answer:

is there anything else that can help?

Step-by-step explanation:

Answer:

Do you have a picture to see the triangles

Step-by-step explanation:

Answer:

  4,428-2,165=2,263

Step-by-step explanation:

you regroup the 2

The equation that uses numbers 2,165 and 4,428, and can be used to write and solve an equation that uses borrowing is 4,428-2,165=2,263.

Borrowing in subtraction, like "carrying" in addition, means to take quantities from one number and assign them to the next. The 10 is borrowed from the next higher digit column in this approach to generate a positive difference in the next column.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='. An equation that uses borrowing or regrouping can be written as,

4,428 - 2,165 = 2,263

Hence, the equation that uses numbers 2,165 and 4,428, and can be used to write and solve an equation that uses borrowing is 4,428-2,165=2,263.

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Answer:

the answer is −4x+7

Step-by-step explanation:

yes

Answer:

-4x+7

Step-by-step explanation:

(x+3)-(5x-4)

Remove parenthesis and simplify:

-4x+7

Answer:

28

Step-by-step explanation:

Tan-1(8 / 15)

Answer:

2p^-1/4*2

2p^-1/2

2/p^1/2

Step-by-step explanation:

Answer:

(-3,5)

Step-by-step explanation:

When you reflect over the x axis, the y value's sign changes.

So we have:

-3,5

Answer:

(-3,5) the graph is below

Answer:

the first suggestion A

Step-by-step explanation:

A student who was not absent during the unit should score about 98 im not sure

The highlighted part is called Ray.

A parallelogram is a quadrilateral. Therefore, the sum of its interior angles is 360 degrees.

If we know that one angle is 37 degrees, then the sum of the other three angles is: x + 37 = 360

The sum of the other three angles = 323 degrees

Hope this helps!! :)

Answer:

tan r = 35/12

Step-by-step explanation:

you use the rule tan=opposite/adjacent

The required ratio equivalent to tan(R) for triangle RTS is 35 / 12.

A triangle RTS is given with perpendicular = 35 base = 12 and the hypotenuse = 37

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
In order to find out the ratio equivalent to tan(R).0
We know that,
tan(r) = perpendicular  / base
from given,
tan (R) = 35 / 12

Thus, the required ratio equivalent to tan(R) for triangle RTS is 35 / 12.

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Answer:15

Step-by-step explanation: this is an equilateral triangle and 45-15-15=15 so no matter what it would be 15

Answer:

It's 15

Step-by-step explanation:

perimeter is sum of all the sides

15+15+v = 45

30+v = 45

subtract 30 from both sides

v = 45-30

= 15mm

Likelihood is the probable chances of occurrence of an event.

It simply means: what’s the chance “x” will occur?

I have a jar with 20 candies of which 10 are red, 5 are blue, 3 are green, and 2 are white. If I randomly grab 1 candy, what’s the likelihood it’ll be red? In other words: what’s the *chance* it’ll be a red candy?

(It’s 10/20 = 1/2 = 50%, by the way, but it’s just an example).

Answer:

7 students

Step-by-step explanation:

64 - (40+32-15) =

64 - (72-15)=

64-57 = 7

Answer:

4'999 + 664 = 5663

Step-by-step explanation:

all chickens laid one egg so that is 4'999 then the next day 664 of them laid one egg that is how I know what it is.

your  welcome for the help.

Answer:

Adult tickets= 390

Student ticket= 410

Step-by-step explanation:

4A + 2.5S= 2585

A+ S = 800

A= 800-S

Substitute into the first equation