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2 years ago

A rectangle has dimensions 3x-1 and x+6. Write an expression for the area of the rectangle as a polynomial in standard form

Mathematics

1 answer:

WITCHER [35]2 years ago

7 0

Answer:

the area product is simply (3x+5).(x+7 which can multiply if desired to obtain highlight3x/2+ 26x + 35.

You can use Completion of the Square on the trinomial product to put this trinomial into standard form. You would want this form to be like (x-h)2 +k.

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A line with a slope of 2/5 passed through the point (-2,3). Write the equations of the line in point-slope form and graph the li

DochEvi [55]

Answer:

y - 3 = (2/5)(x + 2)

Step-by-step explanation:

Start with the general point-slope form of the equation of a straight line:

y - k = m(x - h). Now substitute -2 for h and 3 for k, and also 2/5 for m:

y - 3 = (2/5)(x + 2)

5 0

2 years ago

What is the area of the composite figure? (use 3.14 for pi). Explain how you arrived at your answer. Please round to the nearest

maksim [4K]

The area of the given diagram is 29.817 square centimeters. The given diagram is combination of rectangle and semi circle.

Step-by-step explanation:

The given is,

Given diagram is combination of Rectangle and Semi circle.

Step:1

Res the attachment,

Area of given diagram = Area of A + Area of B..............(1)

Step:2

For A,

The A section in the given diagram is semi circle,

Diameter of semi circle = Total distance - ( 2+3)

( ∵ 2, 3 are top distance in the given diagram)

$= 10 - 5$

Diameter, d = 5 cm

Radius, $r = \frac{d}{2}$

$r = \frac{5}{2}$

r = 2.5 cm

Area, $A_{A} = \frac {\pi r^{2} }{2}$ ........................(2)

$A_{A} = \frac {\pi (2.5)^{2} }{2}$

$= \frac {\pi ( 6.25) }{2}$

$= \frac{19.63}{2}$

$A_{A} = 9.8174 cm^{2}$

Step:3

For B,

Area of rectangle is,

$A_{B} =lb$ .....................(3)

Where, l - Length = 10 cm

b - Width = 2 cm

Equation (3) become,

$= (10)(2)$

$= 20$

Area of B, $A_{B}$ = 20 $cm^{2}$

Step:4

From the equation (1),

Area of given diagram = 20+ 9.81747

Area = 29.817 square centimeters

Result:

The area of the given diagram is 29.817 square centimeters. The given diagram is combination of rectangle and semi circle.

5 0

2 years ago

To get the value of an expression you add

frez [133]

When we substitute a specific valuefor each variable, and then perform the operations, it's called evaluating theexpression. Let's evaluate theexpression 3y + 2y when 5 = y. Click on the steps to see how it's done. Perform the operations, to find the value of the expression.

6 0

3 years ago

Read 2 more answers

Task 1

CaHeK987 [17]

Answer:

part 1 : y = x^2 + 3x + 5

y = x + 13

solution:

x^2 + 3x + 5 = x + 13

x^2 + 2x -8 = 0

(x+4)(x-2) = 0

x = -4 or x = 2

if x = -4, y = 9

if x = 2 , y = 15

part 2 : x^2 + 2x + 1 = 0

(x + 1)^2 = 0

x = -1

y = 1

task 2

part 1 : Let our two digit number be 26

Next, we rewrite it as a difference of two numbers

26=32-6

We want to square 26 using the identity:

In this case,

x=32

y=6

Substituting into the identity

plz make me brainliest

7 0

2 years ago

Kory calculated several numbers in his calculator. The result displayed 1.3E-2 on the calculator screen. Which equivalent number

frosja888 [35]

Answer:

0.013
1.3×10^(-2)

Step-by-step explanation:

Many calculators use "E" to signify "×10^( )". Thus ...

... 1.3E-2 = 1.3×10^(-2)

This number in scientific notation is equivalent to the standard form number ...

... 1.3×0.01 = 0.013

5 0

3 years ago

Read 2 more answers