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3 years ago

Find the area and perimeter of a rectangle with a length of 3x + 2 and a width of 4x + 3.

Mathematics

2 answers:

vovikov84 [41]3 years ago

7 0

Answer:

Perimeter =14x+10

Area = = $12x^{2}$ +17x+6

Step-by-step explanation:

Area of a rectangle=Length *width

=(3x+2)(4x+3)

=3x(4x+3)+2(4x+3)

= $12x^{2}$ +9x+8x+6

= $12x^{2}$ +17x+6

Then find x using quadratic equation and substitute the values

Perimeter of a rectangle =2(length +width)

=2(3x+2+4x+3)

=6x+4+8x+6

=14x+10

Hope you got it

If you have any problem just ask me

bekas [8.4K]3 years ago

4 0

Answer:

170ft^2

The area is 170ft^2.

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50 points :) 100-70=?

Marina86 [1]

Answer:

Step-by-step explanation:

Did you just do this for fun?

Either way have a good rest of your day!

3 0

3 years ago

Read 2 more answers

Suppose babies born in a large hospital have a mean weight of 3215 grams, and a variance of 84,681. if 67 babies are sampled at

ziro4ka [17]

The z-score is given by:
z=(x-μ)/σ
but
x-μ=52
thus
z=52/√84681
z=0.1787
Thus:
P(X≤52)=0.9633

7 0

3 years ago

Read 2 more answers

Describe and correct the error a student made in finding the midpoint of CD with C(4,5) and D(1,4).

Andru [333]

Using the given information, the midpoint of CD is (2.5, 4.5)

<h3>Midpoint of a line </h3>

From the question, we are to determine the midpoint of line CD

The midpoint of a line is given by the formula,

[(x₁ + x₂)/2 , (y₁ + y₂)/2]

From the given information, we are to find the midpoint of line CD with coordinates C(4,5) and D(1,4)

∴ x₁ = 4

x₂ = 1

y₁ = 5

y₂ = 4

Putting the parameters into the formula for midpoint, we get

[(x₁ + x₂)/2 , (y₁ + y₂)/2]

[(4 + 1)/2 , (5 + 4)/2]

(5/2 , 9/2)

(2.5, 4.5)

Hence, the midpoint of CD is (2.5, 4.5)

Learn more on Midpoint of a line here: brainly.com/question/896396

#SPJ1

6 0

2 years ago

^^^^^^^^^^^^^^^^^^^^

telo118 [61]

ANSWER

The correct answer is C

EXPLANATION

We want to find the quotient:

$- \frac{10}{19} \div ( - \frac{5}{7} )$

We multiply by the reciprocal of the second fraction:

$- \frac{10}{19} \times ( - \frac{7}{5} )$

We cancel out the common factors to obtain:

$- \frac{2}{19} \times ( - \frac{7}{1} )$

We multiply to get

$\frac{ - 2 \times - 7}{19 \times 1}$

This simplifies to :

$\frac{14}{19}$

The correct answer is C

7 0

3 years ago

Read 2 more answers

what is the equation, in slope- intercept form, of the line that contains the points (-3,4) and (5,7)

gavmur [86]

Answer:

y = $\frac{3}{8}$ x + $\frac{41}{8}$

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

To calculate the slope use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (- 3, 4) and (x₂, y₂ ) = (5, 7)

m = $\frac{7-4}{5+3}$ = $\frac{3}{8}$ , hence

y = $\frac{3}{8}$ x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

using (5, 7 ), then

7 = $\frac{15}{8}$ + c ⇒ c = 7 - $\frac{15}{8}$ = $\frac{41}{8}$

y = $\frac{3}{8}$ x + $\frac{41}{8}$ ← equation in slope-intercept form

6 0

3 years ago