Answer:
Step-by-step explanation:
The distributive law states that
The expression 3+21a+15b consists of three terms:
- 3=3·1;
- 21a=3·7a;
- 15b=3·5b.
You can see that 3 is the common factor of these three terms, thus
Which statement best describes the area of the triangle shown below? A coordinate grid is shown with a triangle.. The base is 4
2 answers:
Answer:
The answer is B.It is one-half the area of a square of side length 4 units.
Step-by-step explanation:
Given a coordinate grid shown with triangle of measurements with base 4 units and height also 4 units.
We have to find the area of triangle which can be calculated as
⇒
=
we have to choose the statement describes the area of the triangle evaluate above.
Option A: Not matched ∵equals to [area of rectangle of length 4 units width 2 units]=
Option B: matched : given one-half the area of a square of side length 4 units.
⇒
Option C : Not matched : It is twice the area of a rectangle of length 4 units and width 2 units
⇒
Option 4 : Not matched : It is twice the area of a square of side length 4 units.
⇒
So, the correct option is B. It is one-half the area of a square of side length 4 units.
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Set up your conversion using dimensional analysis. That's just a fancy way of saying set up your values so you cancel what you don't need and keep what you do. If we want to convert miles per hour to feet per second, we need to convert the miles to feet using the fact that there are 5280 feet in 1 mile, and then convert the hours to seconds using the fact that there are 3600 seconds in an hour. Your set up will look like this (it's all about setting up the fractions correctly): . If you look at that closely, you can see the there is a label of miles on the top in the first fraction and on the bottom in the second fraction. Those cancel each other out by reducing. Then in the bottom of the first fraction there is hours and in the top of the last fraction there is hours. Those cancel out. From top to bottom or bottom to top you can cancel like labels. This leaves us with feet in the top and seconds in the bottom. Now it's a matter of doing the math. You multiply straight across the top and straight across the bottom.
. Simplifying you get 46.933 feet per second.
Well
translates to 
so
log5(x/2)=5 means 5^5=x/2, so 3125=x/2, so 6250=x
so
log5(x/2)=5 means 5^5=x/2, so 3125=x/2, so 6250=x
9514 1404 393
Answer:
7 square units
Step-by-step explanation:
There are several ways the area of triangle EBD can be found.
- find the lengths EB, BD, DE and use Heron's formula (messy due to roots of roots being involved).
- define point G at the lower left corner and subtract the areas of ∆DEG and BCD from trapezoid BCGE.
- figure the area from the coordinates of the vertices.
- use Pick's theorem and count the dots.
We choose the latter.
__
Pick's theorem says the area of a polygon can be found as ...
A = i + b/2 -1
where i is the number of grid intersection points interior to the polygon, b is the number of grid points intersected by the border.
The attached figure shows the lines EB, BD, and DE intersect one point in addition to the vertices. So, b=4. A count of the red dots reveals 6 interior points (i=6). So, the area is ...
A = 6 + (4/2) -1 = 7
The area of ∆EBD is 7 square units.
