Answer:
xˆ2+10x+9
Step-by-step explanation:
first, multiply x by x and by 1, that would be (xˆ2 and x), then multiply 9 by x and 1, that would be( 9x and 9), add the two parenthesis, and it totals out to xˆ2+10x+9
Answer:
x=4 x=-5
Step-by-step explanation:
x^2+x-20=0
Factor
What 2 numbers multiply to -20 and add to 1
-4*5 =-20 and
-4+5 =1
(x-4) (x+5) =0
Using the zero product property
x-4 =0 x+5=0
x=4 x=-5
A. because asexual reproduction creates many at the same time and all of them can be very different.
Answer:
Height is 135 ft
Step-by-step explanation:
Notice that wire, pole, and ground form a right angle triangle, for which we name h = height of the pole one of the legs (the horizontal leg) is h - 51. The wire (which is the hypotenuse of the right angle triangle is: h + 24.
Then we can use the Pythagorean theorem to solve for the height (h):
h^2 + (h - 51)^2 = (h + 24)^2
h^2 + h^2 -102 h + 2601 = h^2 + 48 h + 576
grouping all terms on the left of the equal sign, we get:
h^2 -150 h + 2025 = 0
This gives two possible answers:
h = 135
and
h = 15
We opt for h = 135, because the other solution will render a negative leg for the triangle.
Answer:
12
Step-by-step explanation:
The second diagram is most helpful for finding the surface area.
- Find the area of the middle square: 2 * 2 = 4
- Find the area of the triangle using <em>A = 1/2*B*H,</em> so <em>A = </em>1/2 * 2 * 2 = 2
- Since there are 4 triangles, the surface area of all the triangles is 2 * 4 = 8
- Add the surface area of the triangles with the surface area of the square to get the total surface area: 8 + 4 = 12
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