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Kay [80]
3 years ago
15

A parallelogram has an area of 448 square centimeters and a base length of 16 centimeters what is the height of the parallelogra

m?
14cm
16cm
12cm
28cm
Mathematics
2 answers:
antiseptic1488 [7]3 years ago
7 0

Answer:

The answer is 28 cm.

Step-by-step explanation:

The formula for the height of a parallelogram is area divided by length, so 448/16 equals 28.

Lena [83]3 years ago
5 0

Answer:

28cm

Step-by-step explanation:

Area of a parallelogram = base x height

Given area = 448cm^2

Base = 16 cm

Therefore,

448 = 16 x h

Divide both sides by 16

448/16 = 16/16 x h

28 = h

h = 28cm

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49–2ax –a^2–x^2 factor
vampirchik [111]

49–2ax –a^2–x^2

Extract the negative sign

= 49 - (a^2 +2ax +x^2)

Factor using a^2 + 2ab + b^2 = (a+b)^2

= 49 - (a+x)^2

Factor using a^2 - b^2 = (a-b)(a+b)

= ( 7- (a + x)) * (7 + (a + x))

= ( 7- a - x) * (7 + a + x)

4 0
3 years ago
The system of equations below represents p, the number of photo files, and v, the number of video files Helena uploaded to an on
ss7ja [257]
P + v = 650....p = 650 - v
4p + 9v = 2925

4(650 - v) + 9v = 2925
2600 - 4v + 9v = 2925
-4v + 9v = 2925 - 2600
5v = 325
v = 325/5
v = 65.....video files

p + v = 650
p + 65 = 650
p = 650 - 65
p = 585....photo files

answer : Helena uploaded 9 times as many photo files as video files
               65 * 9 = 585
5 0
3 years ago
Read 2 more answers
The polynomial x^2+3x-1 is a factor of x^4+3x^3-2x^2-3x+1 true or false?
pashok25 [27]

Answer:

Yes, it is true that x^2+3x-1  is a factor of x^4+3x^3-2x^2-3x+1.

Step-by-step explanation:

Let us try to factorize x^4+3x^3-2x^2-3x+1

x^4+3x^3-2x^2-3x+1\\\Rightarrow x^4-2x^2+1-3x+3x^3

Let us try to make a whole square of the given terms:

\Rightarrow (x^2)^2-2\times x^2 \times 1+1^2+3x^3-3x\\\Rightarrow (x^2-1)^2+3x^3-3x\\

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

Formula used above:

a^{2} -2 \times a \times b +b^{2}  = (a-b)^2

In the above equation, we had a = x, b = 1.

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

Further solving the above equation, taking 3x common out of 3x^3-3x

\Rightarrow (x^2-1)^2+3x(x^2-1)\\

Taking (x^{2} -1) common out of the above term:

\Rightarrow (x^2-1)((x^2-1)+3x)\\\Rightarrow (x^2-1)(x^2+3x-1)

So, the two factors are (x^2-1)\ and\ (x^2+3x-1).

\therefore The statement that x^2+3x-1  is a factor of x^4+3x^3-2x^2-3x+1 is <em>True.</em>

7 0
3 years ago
Cho tam giác ABC vuông tại A đường giao AH biếtAH=12cm BH=9cm.<br><br>Tính diện tích tam giác ABC
Lostsunrise [7]

Answer:

Step-by-step explanation:

AB^2 = HB^2 + AH^2 => AB = 15cm

Ta co cong thuc: 1/AH^2 = 1/AB^2 + 1/AC^2 => AC=20cm

Vay SABC= 1/2 .AB.AC = 1/2 .15.20=150cm^2

6 0
3 years ago
The equation y-4=-3(x+4) is written in point-slope form. What is the y-intercept of the line
cricket20 [7]

Answer:

-8

Step-by-step explanation:

you need to rewrite it in y=mx+b form where b-is the y-intercept

y-4= -3(x+4)

distribute

y-4 = -3x-12

isolate y

y= -3x-8

compare this with the y=mx+b so y-intercept is -8

8 0
3 years ago
Read 2 more answers
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