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Vaselesa [24]
3 years ago
14

11. What is the area of a rectangle whose length (2x+5) cm and width (x-1) cm?

Mathematics
1 answer:
agasfer [191]3 years ago
4 0

Answer:

A=2x^2+3x-5

Step-by-step explanation:

Given that,

Length = (2x+5) cm

Width = (x-1) cm

We need to find the area of a rectangle. The formula for the area of rectangle is given by :

A = lb

A=(2x+5)(x-1)\\\\=2x^2-2x+5x-5\\\\=2x^2+3x-5

So, the required area is equal to 2x^2+3x-5.

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Write an equation in slope-intercept form for the line with slope 1/4 and y intercept -4. Then graph the line​
quester [9]

Answer:

Step-by-step explanation:

slope intercept form is y = mx + b

b is the y intercept ( crossing y axis value)....     by inspection   b = -4

m is the slope of the line,  Slope = m = 1/4      note: the slope is positive

the slope equals the 'rise' over 'run'  

if the line moves up the slope is positive, if the line moves down the slope is negative

the rise is how many y units does the line go 'up' or 'down'

the run is how many x units does the line go 'left' or 'right'

the rise = 1  Y unit

the run = 4 X units

y = mx + b    m =1/4  b = -4

y = (1/4)x + (-4)

y = (1/4)x - 4

graph a line stating at y = -4 and going up (rising) to the right ONE Y Unit for  every FOUR X units (the run)

3 0
3 years ago
What is the range of the function f(x) = |x| + 5?
Ierofanga [76]

Answer:

[0, \infty)

5 0
2 years ago
Read 2 more answers
Given three consecutive integers with a sum of four times the second number, write an algebraic equation for this situation
Black_prince [1.1K]
<u>Define x:</u>

Let the first number be x.

1st number = x
2nd number = x + 1
3rd number = x + 2

<u>Construct equation:</u>
x + x + 1 + x + 2 = 4(x + 1)
3x + 3 = 4(x + 1)

Answer: 3x + 3 = 4(x + 1)
5 0
3 years ago
Myra is evaluating the expression –31. 7 4. 5x, when x = 2. 1. -31. 7 4. 5(2. 1) –27. 2(2. 1) –57. 12 What was Myra’s error? Myr
murzikaleks [220]

This is just an algebraic problem, the correct option is:

<em>"Myra should have multiplied 4.5 and 2.1 first."</em>

<h3>How to evaluate an expression?</h3>

Here we want to evaluate the expression:

-31.7 + 4.5*x

in x = 2.1

This just means that we need to replace x by 2.1 in the given equation.

Now, what Myra does is:

-31.7 + 4.5*2.1 = -27.2*2.1

So she took the sum between -31.7 and 4.5 first, this is her mistake, you only would do that if the expression was:

(-31.7 + 4.5)*2.1

But in our expression:

-31.7 + 4.5*2.1

The first thing you need to solve is the product in the second term, so we get:

-31.7 + 4.5*2.1 = -31.7 + 9.45 = -22.25

If you want to learn more about algebra, you can read:

brainly.com/question/4344214

4 0
2 years ago
4. Solve the system using substitution.
Yuri [45]

Answer:

A

Step-by-step explanation:

-3+2=-1 and (9)- 8=1

3 0
3 years ago
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