Answer:
M= -2
B=1
Step-by-step explanation:
<u><em>Y-intercept</em></u><em> is the point where the line crosses through the y line, so you can clearly see that that point is (0,1) we only write the y value because for a y intercept the x value will always be zero</em>
<em><u>Slope</u></em> <em>is the rise over run, meaning how much the y value changes over how much the x value changes, so for the two points we use our formula:</em>
<em>So now input how much it changes by adding the numbers from each coordinate:</em>
<u>Simplify:</u>
<u />
<u />
<em>But we write it as:</em>
-4/2
<em>This is because this looks more like division</em>
<u>Divide:</u>
-4/2=-2
So, your slope is <em><u>-2</u></em> and the y- intercept is <em><u>1</u></em>
I hope this helps u pls give a brainliest and a thx ;)
Slope = Y2-Y1/X2-X1 = 7-(-3)/3-(-2)= 10/5 = 2
Answer:
x = 35°
Step-by-step explanation:
These are corresponding angles. When a transversal crosses 2 parallel lines, 4 angles are created at each intersection, and each pair of corresponding angles between those are congruent.
These angles are congruent, so you can set them equal to each other:
Then, just solve for x:
You can check that by plugging it back into both:
Answer:
98 ft²
Step-by-step explanation:
There are a couple of ways you can think about this one. Perhaps easiest is to treat it as a square with a triangle cut out of it. The cutout triangle has a base (across the top) of 14 ft and a height of 14 ft, so its area is ...
A = (1/2)(14 ft)(14 ft) = 98 ft²
Of course the area of the square from which it is cut is ...
A = (14 ft)² = 196 ft²
So, the net area of the two triangles shown is ...
A = (196 ft²) - (98 ft²) = 98 ft²
_____
Another way to work this problem is to attack it directly. Let the base of the left triangle be x. Then the base of the right triangle is 14-x, and their total area is ...
A = A1 + A2 = (1/2)(x ft)(14 ft) + (1/2)((14-x) ft)(14 ft)
We can factor out 7 ft to get ...
A = (7 ft)(x ft + (14 -x) ft)
A = (7 ft)(14 ft) = 98 ft²
