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Lilit [14]
2 years ago
6

Find the area of rectangle it its length is (3x+5) and breadth is (2y+4)

Mathematics
1 answer:
Sindrei [870]2 years ago
4 0

Answer:

Solution given:

length = (3x+5)

breadth = (2y+4)

we have

area of rectangle: length* breadth

=(3x+5)(2y+4)

opening bracket

=3x(2y+4)+5(2y+4)

=6xy+12x+10y+20

=<u>12x+10y+6xy+20</u><u>u</u><u>n</u><u>i</u><u>t</u><u> </u><u>square</u>

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Write a complete two-column proof for the following information. Hint: Use the Angle Addition Theorem and the fact that a line i
kramer

Answer:

Step-by-step explanation:

Given: m∠1 = 62° and lines t and l intersect

Prove: m∠4 = 62°

Proof:

Statement                                        Reason

m∠1 = 62°                                         Given

m∠1 , m∠2 are supplementary       t is a straight line hence linear pair.

m∠4 , m∠2 are supplementary       r is a straight line hence linear pair.

Angle 2=180-62 = 118                      Definition of supplementary angles

Angle 4 = 180-118 =62                     -do-

Angle 1 = Angle 4                            Equality property

Hence proved

6 0
3 years ago
Read 2 more answers
Let f(t)=4-3t^2. Evaluate f(t+1).
Ksivusya [100]

Answer:

f=4-3t^2/t+1

Step-by-step explanation:

3 0
2 years ago
If the factors of a quadratic function are (x 2) and (x − 9), what are the x-intercepts of the function?
MArishka [77]

The x-intercepts of the given quadratic function are -2 and 9.

What is a quadratic function?

A quadratic function is a function represented as, f(x) = ax2 + bx + c, with a, b, and c being integers and a not equal to zero. A parabolic curve represents the graph of a quadratic function.

A polynomial's highest degree reveals how many roots the polynomial has. The values for which the polynomial's numerical value is equal to zero are known as a polynomial's roots (also known as zeros of a polynomial). On a graph, the points where the polynomial's graph and the x-axis cross are the roots (x-intercepts).

Roots of the Quadratic Equation

Due to its degree of 2, a quadratic function can only have a maximum of two real roots. In order to find the roots of a quadratic equation, we equate its factors to 0. Thus, in this case, we have,

(x+2)*(x-9)=0

∴ x+2=0

⇒ x=-2

Similarly,

x-9=0

⇒ x=9

Hence, the x- intercepts of the given quadratic function come out to be -2 and 9.

Learn more about a quadratic function here:

brainly.com/question/27958964

#SPJ4

7 0
1 year ago
Read 2 more answers
Match each cone's measures to its corresponding volume.
Art [367]

Answer:

base area=16π in² height=6 in ⇒ base area= πr²

16π²=π(r)²

r=4 in

v=1/3 ×π (4)²×(6)

v=32π in²

-------------

v=1/3 π(12/2)²×5

v=1/3π(31)×5=

v=60π in³

-------------

v=1/3 π×(25×4)=

v=100π/3 in³

OAmalOHopeO

8 0
3 years ago
Write the number in expanded form. (enter your numbers from largest to smallest place value.) 3,515,905
alex41 [277]
Here is the answer:

3,000,000 + 500,000 + 10,000 + 5,000 + 900 + 5 = 3,515,905
6 0
3 years ago
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