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3 years ago

The length of a rectangle is 4 cm less than 3 times its width. If the width is x cm, then the length is

Mathematics

1 answer:

Feliz [49]3 years ago

6 0

Answer:

Length: 3w-4

Step-by-step explanation:

Length: 3w-4

Width: W

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3. Which graph best represents the solution to the following system? (1 point)<br> (5x – 2y <10

Step2247 [10]

Answer:

The graph in the attached figure

Step-by-step explanation:

The complete question is

Which graph best represents the solution to the following system?

5x - 2y < (less than or equal to) 10

x + y < 5

we have

$5x-2y\leq 10$ ----> inequality A

isolate the variable y

Adds 2y both sides

$5x \leq 10+2y$

Subtract 10 both sides

$5x-10 \leq 2y$

Divide by 2 both sides

$2.5x-5 \leq y$

Rewrite

$y \geq 2.5x-5$

The solution of the inequality A is the shaded area above the solid line

The equation of the solid line is $y=2.5x-5$

The slope of the solid line is positive $m=2.5$

The y-intercept of the solid line is (0,-5)

The x-intercept of the solid line is (2,0)

$x+y < 5$ -----> inequality B

Isolate the variable y

Subtract x both sides

$y < -x+5$

The solution of the inequality B is the shaded area below the dashed line

The equation of the dashed line is $y=-x+5$

The slope of the dashed line is negative $m=-1$

The y-intercept of the dashed line is (0,5)

The x-intercept of the dashed line is (5,0)

using a graphing tool

The solution of the system of inequalities is the shaded area between the solid line and the dashed line

see the attached figure

7 0

3 years ago

What kind of correlation would you expect to find between the number of computers per school and the number of student per compu

nasty-shy [4]

Answer:

negative correlation on Edg

Step-by-step explanation:

3 0

1 year ago

Ashley makes house calls. For each she is payed a base amount and makes additional money for each hour she works. The graph belo

Zarrin [17]

Answer:

her pay increases by 30$ each hour she work

Step-by-step explanation:

hope it helps

3 0

2 years ago

A particle moves according to a law of motion s = f(t), t ≥ 0, where t is measured in seconds and s in feet. (If an answer does

NNADVOKAT [17]

The question is not clear, but it is possible to obtain distance, s, from the given function. This, I would show.

Answer:

s = 17 units

Step-by-step explanation:

Given f(t) = t³ - 8t² + 27t

Differentiating f(t), we have

f'(t) = 3t² - 16 t + 27

At t = 0

f'(t) = 27

This is the required obtainaible distance, s.

6 0

3 years ago

Given that CD¯¯¯¯¯¯¯¯ is a perpendicular bisector of AB¯¯¯¯¯¯¯¯, where D is on AB¯¯¯¯¯¯¯¯, how can you use the Pythagorean Theor

Liula [17]

Answer:

$(AD)^2 + (CD)^2 = (CA)^2$ and $(CD)^2 + (BD)^2 = (CB)^2$

Step-by-step explanation:

Given

Bisector: CD

of Line AB

Required

Apply Pythagoras Theorem

From the question, CD bisects AB and it bisects it at D.

The relationship between AB and CD is given by the attachment

Considering ACD

From the attachment, we have that:

$Hypothenuse = CA$

$Opposite = CD$

$Adjacent = AD$

By Pythagoras Theorem, we have

$(AD)^2 + (CD)^2 = (CA)^2$

Considering CBD

From the attachment, we have that:

$Hypothenuse = CB$

$Opposite = CD$

$Adjacent = BD$

By Pythagoras Theorem, we have:

$(CD)^2 + (BD)^2 = (CB)^2$

4 0

2 years ago

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