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shutvik [7]
4 years ago
15

PLEASE HELP!! Factor the polynomial x^2 - 14x + 49 as the product of two binomials.

Mathematics
1 answer:
Serga [27]4 years ago
4 0

This is factoring using perfect squares. The leading coefficient is 1, which is a perfect square, and the constant is 49 which is also a perfect square. 7 is correct, but I'm wondering if your sings are off. Look at the quadratic. The second sign, plus or minus I mean, is a +. That means that both the signs in your parenthesis are going to be the same. The sign that they are both going to be is whatever the first sign is. Ours is negative. So your factors are (x - 7)(x - 7). That trick works as long as the second sign is a positive. If the second sign is negative, the only thing we know for sure is that both signs will be different (one positive and one negative).

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A granite monument has a volume of 25,365.4 cm3. The density of granite is 2.7 g/cm3. Use this information to calculate the mass
kiruha [24]
V = 25,364.4 cm^3              Is volume
r = 2.7g/cm^3                      Is density

To calculate mass you use formula:
m= V*r
To avoid remembering this formula you can see the type of unit on each given variable. We can see that we have g/cm^3 and cm^3. If we multiply them, we negate cm^3 and cm^3 and we are left with g which is unit for mass.

m = 68,486,6 g   is the answer.


8 0
3 years ago
Read 2 more answers
Simplify the following expression. (z^3)^4(q^3)^0
Svetradugi [14.3K]
Any number raised to the power of 0 is 1.
(z^3)^4(q^3)^0 = (z^3)^4 = z^(3 x 4) = z^12
4 0
3 years ago
HELP ASAP
zavuch27 [327]
Answer:
U' = (-1,2)
V' = (2,2)
W' = (0,-2)

Explanation:
The given dilation factor is 1/4
This means that each coordinate point is multiplied by 1/4 to get its dilated image.

For point U:
Point U = (-4,8)
x coordinate of U' = 1/4 * x coordinate of U
x coordinate of U' = 1/4 * -4 = -1
y coordinate of U' = 1/4 * y coordinate of U
y coordinate of U' = 1/4 * 8 = 2
This means that: U' = (-1,2)

For point V:
Point V = (8,8)
x coordinate of V' = 1/4 * x coordinate of V
x coordinate of V' = 1/4 * 8 = 2
y coordinate of V' = 1/4 * y coordinate of V
y coordinate of V' = 1/4 * 8 = 2
This means that: V' = (2,2)

For point W:
Point W = (0,-8)
x coordinate of W' = 1/4 * x coordinate of W
x coordinate of W' = 1/4 * 0 = 0
y coordinate of W' = 1/4 * y coordinate of W
y coordinate of W' = 1/4 * -8 = -2
This means that: W' = (0,-2)

Hope this helps :)
4 0
4 years ago
Simplify (n-1) + n<br><br> Easy.
konstantin123 [22]

Answer:

2n - 1

Step-by-step explanation:

you add the 2 <em>ns to get 2n then you  add the 1 to the equation to make </em>

<em> </em><em>2n - 1</em>

7 0
3 years ago
Multiply and simplify out theese brackets(X+1)(x+3)
Lorico [155]
The method in which you do this problem would be to FOIL. First Outer Inner Last. You take the first terms and multiply them. x*x = x^2 (x to the second power). Then you do it with the rest of foil.
x*x = x^2
x*1 = x
x*3 = 3x
1*3 = 3
x^2 + x + 3x + 3 = X^2 + 4x + 3
6 0
3 years ago
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