Answer:
Using the slope formula with points (0,-1) and (-4,4)
Step-by-step explanation:
Step 1: find the points, (0,-1) and (-4,4)
Step 2: Insert plot points into <em>Slope formula: (tip: M means slope)</em>
m(slope)= -> m(slope)=
Step 3: <em>Solve:</em>
m(slope)=
Answer:
Slope is
or m =
OR (if your teacher wants the answer in decimal form rounded to the nearest 10th.) m = -1.3
Answer:
x = 9 (it is seriously not drawn to scale)
Step-by-step explanation:
BC = DC^2 + BD^2 (Pythagorean theorem)
BC = 4^2 + 6^2
BC = 16 + 36
BC = 52^2
BC = 2sqrt13
BC/AB = DC/BD
(2sqrt13)/AB = 4/6
6(2sqrt13) = 4(AB)
12sqrt13 = 4AB
3sqrt13 = AB
AC^2 = AB^2 + BC^2 (Pythagorean Theorem)
AC^2 = (3sqrt13)^2 + (2sqrt13)^2
AC^2 = 117 + 52
AC^2 = 169
AC = 13
AD + DC = AC
AD + 4= 13
AD = 9
Part 1) The equation of a circle is (x+4)²+(y−5)²<span>=121.
What is the center and radius of the circle?
we know that
the equation of a circle is of the form
(x-h)</span>²+(y-k)²=r²
in the problem
(x+4)²+(y−5)²=121.------> (x+4)²+(y−5)²=11²
the center (h,k) is the point (-4,5) and the radius is 11
Part 2) we have that
(x+15)²+(y−12)²=25-------> (x+15)²+(y−12)²=5²
we know that
<span>the greatest distance, in feet, a person could be from the lamp and be detected is the radius
</span>
the radius is equal to 5 ft
the answer Part 2) is 5 ft
Part 3) we have that
(x−9)²+(y+11)²=16--------> (x−9)²+(y+11)²=4²
the radius is equal to 4 m
so the diameter is ------> 4*2-----> 8 m
the answer Part 3) is
8 m
Answer:
b = 35
Step-by-step explanation:
Use the butterfly method (Cross multiply):
b × 13 = 13b
65 × 7 = 455
So you would have:
13b = 455
Divide both sides by 13.
You will get b = 35
Hope this helps!