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3 years ago

T=e^2/9 solve for e, what would this be thank you.

Mathematics

1 answer:

diamong [38]3 years ago

4 0

I may be wrong but this seems to be the answer!

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Let f(x) = x + 7 and g(x) = x − 4. Find f(x) ⋅ g(x).

saveliy_v [14]

For this case we have the following functions:

$f (x) = x + 7\\g (x) = x-4$

We must find the product of the functions:

$f (x) * g (x) = (x + 7) (x-4)$

We apply distributive property:

$f (x) * g (x) = x ^ 2-4x + 7x-28\\f (x) * g (x) = x ^ 2 + 3x-28$

Finally, the product of the functions is:

$x ^ 2 + 3x-28$

Answer:

$x ^ 2 + 3x-28$

6 0

3 years ago

On a coordinate plane, a shape is plotted with vertices of (3, 1), (0, 4), (3, 7), and (6, 4). what is the area of the shape if

QveST [7]

Let
<span>A (3, 1)
B (0, 4)
C(3, 7)
D (6, 4)

step 1
find the distance AB
d=</span>√[(y2-y1)²+(x2-x1)²]------> dAB=√[(4-1)²+(0-3)²]-----> dAB=√18 cm

step 2
find the distance CD
d=√[(y2-y1)²+(x2-x1)²]------> dCD=√[(4-7)²+(6-3)²]-----> dCD=√18 cm

step 3
find the distance AD
d=√[(y2-y1)²+(x2-x1)²]------> dAD=√[(4-1)²+(6-3)²]-----> dAD=√18 cm

step 4
find the distance BC
d=√[(y2-y1)²+(x2-x1)²]------> dBC=√[(7-4)²+(3-0)²]-----> dBC=√18 cm

step 5
find slope AB and CD
m=(y2-y1)/(x2-x1)
mAB=-1
mCD=-1
AB and CD are parallel and AB=CD

step 6
find slope AD and BC
m=(y2-y1)/(x2-x1)
mAD=1
mBC=1
AD and BC are parallel and AD=BC
and
AB and AD are perpendicular
BC and CD are perpendicular

therefore
the shape is a square wit length side √18 cm

area of a square=b²
b is the length side of a square
area of a square=(√18)²------> 18 cm²

the answer is
18 cm²

see the attached figure

6 0

3 years ago

44 points! Brainliest for correct answer!

Art [367]

Answer:

5n + 25q = 200 - - - (1)

n = 5q - - - (2)

q = 40

n = 5(40) = 200

Step-by-step explanation:

Number of Nickels = n

Number of Quarters = q

$2.00 = $2 * 100 = 200 cent

Nickel = 5 cent

Quarter = 25 cent

5n + 25q = 200 - - - (1)

n = 5q - - - (2)

5(5q) + 25q = 200

25q + 25q = 200

50q = 200

q = 200/5

q = 40

n = 5(40) = 200

5 0

3 years ago

Which of the following is an example of a perfect square trinomial?

Aliun [14]

Answer:

Step-by-step explanation:

A perfect square trinomial is always in the form

(a+b)(a+b)= $a^{2} +2ab+b^2$

ie. (x+4)(x+4)= $x^{2} +8x+16$

4 0

3 years ago

Find the slope of the line passing through the pair of points and describe the line as rising,falling,horizontal or vertical

Nataly_w [17]

To find the slope of a line, we must find the change in y values divided by the change in x values, given by the formula y2-y1/x2-x1 and represented by the variable m. We use our values from the ordered pairs to compute the slope, as follows:

m = (5-1)/(4-2) = 4/2 = 2

Therefore, the slope is 2. Because the slope is positive, this means that the line is rising.

Hope this helps!

4 0

4 years ago