Step-by-step explanation:
y is easy.
it is the Hypotenuse (baseline) of the small right-angled triangle created by the height (8) of the main triangle, the segment 6 of the main Hypotenuse and y.
so, Pythagoras :
y² = 8² + 6² = 64 + 36 = 100
y = 10
x is a bit more complex.
I think the easiest way to get it is to know that the height of a right-angled triangle to the Hypotenuse is the square root of the product of both segments of the Hypotenuse.
so, if we call the segments of the Hypotenuse a and b with a = 6, we have
x = a + b = 6 + b
height (8) = sqrt(a×b) = sqrt(6b)
therefore,
6b = height² = 8² = 64
b = 64/6 = 32/3 = 10 2/3 = 10.66666666...
so,
x = 6 + 10.66666... = 16.666666666...
round it to what is needed. e.g. 2 positions after the decimal point (hundredths) ? then it would be 10.67
Answer:
56.26
Step-by-step explanation:
An isosceles triangle has two sides that are the same length, and one side that is the same length. We have two sizes, so two find the greatest possible perimeter we must assume that the greater size is the value for the two sides, and the smaller size the value for the single side. In other words:
If your quadratic function has x intercepts of 4 and -3, that means that the points are (4, 0) and (-3,0), or the values x has when y=0. Since your quadratic (which represents y) must then equal 0, then your factors of that equation would potentially equal 0 as well. That means that if x=4, then subtract 4 from each side to get x-4=0, and so one factor is (x-4) Similarly your other factor would be (x+3).
<span>To get your quadratic, FOIL: </span>
<span>(x-4)(x+3)=0 </span>
<span>x^2-x-12=0</span>
Answer:
720
Step-by-step explanation:
125tablets, 2 of which had broken screens.
multiply 45000 by 2, then divide 125=720
Answer:
Step-by-step explanation:
y - y₁ = m ( x - x₁)
y - 5 = - 3 (x - 12)
y - 5 = -3x + 36
3x + y = 36 + 5
3x + y = 41
y = -3x + 41
