Answer:
Step-by-step explanation:
One
EH = FG
<F = <H
Two
1. DB divides AC into two right angles: BDA and BDC
2. <ABD = CBD
You can get the conversions you want by typing the exact expression you have here into a Google or Bing search box.
For example,
h. 7 acres to square feet = 304920 square feet
_____
There are a few conversions you are expected to know: feet to inches, yards to feet, miles to feet (or yards). Acres are a little more difficult, as they are generally defined in terms of a rectangle, not a square. Raised on a farm, I know there are 640 acres in a square mile, so dividing (5280 ft)^2 by 640 gives 43560 ft^2, the number of square feet in an acre.
To do conversions of any kind (not just distance or area), you write the conversion factor as a fraction with a value of 1. That is, the numerator has the same value the denominator has, but in different units. You choose the bottom units to cancel the units you have, and the top units to give you what you want.
a. 1 mile = 1760 yd
You want yards and have miles, so you write the conversion factor as (1760 yd)/(1 mi). Multiply by this.
.. (13 mi)*(1760 yd)/(1 mi) = 13*1760 yd = 22,880 yd
For area measures, you use the square of the linear conversion factor.
b. 1 ft = 12 in
.. 67 ft^2 * ((12 in)/(1 ft))^2 = 67*12^2 in^2 = 9648 in^2
Sometimes you need to go through an intermediate step if you don't have the direct conversion factor.
d. 87120 yd^2 * ((3 ft)/(1 yd))^2 * (1 ac)/(43560 ft^2) = 87120*3^2/43560 ac
.. = 18 ac
The quadratic formula, has a part we call the "discriminant" defined by the variables that are inside the square root, and is denotated by "delta":
<span>Δ=<span>b2</span>−4ac</span>
Whenever we solve a quadratic equation that is complete and we analyze the discriminant, we can get 3 scenarios:
<span>if→Δ>0<span>=></span>∃<span>x1</span>,<span>x2</span>/a<span>x2</span>+bx+c=0</span>
This just means: "if the discriminant is greater than zero, there will exist two x-intercepts"
And for the second scenario:
<span>if→Δ=0→∃<span>xo</span>/a<span>x2</span>+bx+c=0</span>
This means: "if the discriminant is equal to zero, there will be one and only one x-intercept"
And for the last scenario:
<span>if→Δ<0→∃x∉R/a<span>x2</span>+bx+c=0</span>
This means that :"if the discriminant is less than zero, there will be no x-intercepts"
So, if we take your excercise and analyze the the discriminant:
<span>3<span>x2</span>+7x+m=y</span>
we will find the values that satisfy y=0 :
<span>3<span>x2</span>+7x+m=0</span>
And we'll analyze the discriminant:
<span>Δ=<span>72</span>−4(3)(m)</span>
And we are only interested in the values that make the discriminant equal zero:
<span><span>72</span>−4(3)(m)=0</span>
All you have to do is solve for "m".
The domain of the function on the graph is (-6,0). For this type of function, the domain is all real numbers. A function with a fraction with a variable in the denominator. To find the domain of this type of function, set the bottom equal to zero and exclude the x value you find when you solve the equation. A function with a variable inside a radical sign.
You get 75,015.45 without rounding. once you round, you get 75,015.5