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4 years ago

Solving Inequality's

Mathematics

1 answer:

devlian [24]4 years ago

5 0

How can I send you the drawn representation on number line ?

25)

z + 4 >= 2z

-z >= -4

z <= 4 (you flip the sign when you divide over negative number)

on number line: from 4 to -infinity

you use normal arithmetic like equations

29)

-9 + 2a < 3a

-9 < a (just one step done)

on number line from -9 to infinity

41 and 43 ? not in the page

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Two rectangles have the same area of 70m2. It is given that the length of the first rectangle is 4m longer and the width is 2m s

NeX [460]

Answer:

second rectangle

longer = 10

width = 7

first rectangle

longer = 14

width= 5

Step-by-step explanation:

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3 years ago

Manuel baked 30cookies.his family ate c them.using c, write an expression for the number of cookies that remained

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3 years ago

Read 2 more answers

i need help with math You reflect triangle PQR, with coordinates P(-4, -4), Q(-1, -3), and R(-3, -1), across the x-axis, across

meriva

Answer:

After these reflections, the coordinates of P' will be P'(4,-4)

Step-by-step explanation:

<u><em>The question is</em></u>

After these reflections, the coordinates of P' will be?

we have

Triangle PQR, with coordinates P(-4, -4), Q(-1, -3), and R(-3, -1)

Part 1) Reflect triangle PQR across the x-axis

we know that

The rule of the reflection of a point across the x-axis is

(x,y) -----> (x,-y)

Applying the rule of the reflection across the x-axis at the coordinates of triangle PQR

P(-4, -4) -----> P'''(-4,4)

Q(-1, -3) -----> Q'''(-1, 3)

R(-3, -1) ----> R'''(-3, 1)

Part 2) Reflect triangle P'''Q'''R''' across the y-axis

we know that

The rule of the reflection of a point across the y-axis is

(x,y) -----> (-x,y)

Applying the rule of the reflection across the y-axis at the coordinates of triangle P'''Q'''R'''

P'''(-4,4) -----> P''(4,4)

Q'''(-1, 3) ---> Q''(1, 3)

R'''(-3, 1) ---> R''(3, 1)

Part 3) Reflect triangle P''Q''R'' across the x-axis again

we know that

The rule of the reflection of a point across the x-axis is

(x,y) -----> (x,-y)

Applying the rule of the reflection across the x-axis at the coordinates of triangle P''Q''R''

P''(4,4) ----> P'(4,-4)

Q''(1, 3) ----> Q'(1, -3)

R''(3, 1) ----> R'(3, -1)

therefore

After these reflections, the coordinates of P' will be P'(4,-4)

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4 years ago

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lawyer [7]

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3 years ago

A gym charges an initial fee plus $25 per month. John paid $200 for six months. Assume the relationship is linear.

charle [14.2K]

Step-by-step explanation:

a. The rate of change is $33.33 per month

200/6 = approximately $33.33 per month

This means that in addition to the initial fee, Josh has to pay $33.33 per month for the gym membership.

b. The initial value is $25. This is a constant value and a one time fee to open and attain a gym membership.

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3 years ago