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3 years ago

Multiply: (5t – 4)(4t + 5)

Mathematics

2 answers:

AnnZ [28]3 years ago

5 0

<span>The answer is this 20t2 + 9t – 20. Go look up a video for foiling </span>

ch4aika [34]3 years ago

3 0

<h2>Answer:</h2>

The product of the expression is:

$20t^2+9t-20$

<h2>Step-by-step explanation:</h2>

We have to find the product of two algebraic expressions which are given in terms of variable t as:

$(5t-4)(4t+5)$

We know that the product of two linear function will result in a quadratic equation i.e. a polynomial of degree 2.

We find the product as follows:

$(5t-4)(4t+5)=5t(4t+5)-4(4t+5)\\\\\\i.e.\\\\\\(5t-4)(4t+5)=20t^2+25t-16t-20\\\\\\i.e.\\\\(5t-4)(4t+5)=20t^2+9t-20$

Hence, the product is:

$20t^2+9t-20$

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What is 5682 divided by 4

Sophie [7]

5682 divided by 4 is 1420 remainder 2 Hope that helped Have a good day! :-)

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3 years ago

Read 2 more answers

At the end of a snow storm, Audrey saw there was a lot of snow on her front lawn. The temperature increased and the snow began t

zalisa [80]

Answer:

s = 2t

Step-by-step explanation:

At the end of a snow storm, Audrey saw there was a lot of snow on her front lawn. The temperature increased and the snow began to melt at a steady rate. There was a depth of 10 inches of snow on the lawn when the storm ended and then it started melting at a rate of 2 inches per hour. Write an equation for S, in terms of t, representing the depth of snow on Audreys lawn, in inches, t hours after the snow stopped falling.

2 inches = 1 hour

10 inches = x hour

2x = 10

x = 10/2

x = 5

Creating an equation

S ∝ t

S = kt

k = s/t

k = 2/1

k = 2

The equation for S, in terms of t, representing the depth of snow on Audreys lawn, in inches, t hours after the snow stopped falling is

S = 2t

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3 years ago

Find the area of the polygon

katrin [286]

Answer:

just add the area of the triangle(formula 1/2bh) and the area of the square(formula bh)

so 1/2(6*height)+8*7

Step-by-step explanation:

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4 years ago

What is 2log 9 in simplest form?

Mamont248 [21]

Answer:

1.90

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3 years ago

A geometric sequence is defined by the equation an = (3)3 − n.

Delvig [45]

PART A

The geometric sequence is defined by the equation

$a_{n}=3^{3-n}$

To find the first three terms, we put n=1,2,3

When n=1,

$a_{1}=3^{3-1}$

$a_{1}=3^{2}$

$a_{1}=9$
When n=2,

$a_{2}=3^{3-2}$
$a_{2}=3^{1}$

$a_{2}=3$

When n=3

$a_{3}=3^{3-3}$

$a_{3}=3^{0}$
$a_{1}=1$
The first three terms are,

$9,3,1$

PART B

The common ratio can be found using any two consecutive terms.

The common ratio is given by,
$r= \frac{a_{2}}{a_{1}}$
$r = \frac{3}{9}$

$r = \frac{1}{3}$

PART C

To find
$a_{11}$

We substitute n=11 into the equation of the geometric sequence.

$a_{11} = {3}^{3 - 11}$

This implies that,

$a_{11} = {3}^{ - 8}$

$a_{11} = \frac{1}{ {3}^{8} }$

$a_{11}=\frac{1}{6561}$

4 0

3 years ago