The standard equation of the circle is:
(x-h)^2+(y-k)^2=r^2 where (h,k) it the center of the circle and r is the radius...
so
30.
(x-2)^2+(y-7)^2=16
31.
We need to find the radius...(I'll just use the Pythagorean Theorem)
r^2=6^2+8^2
r^2=36+64
r^2=100 (so the radius is 10) and its center is (-6,-8) so
(x+6)^2+(y+8)^2=100
Answer:
B. 73°
Step-by-step explanation:
<em>m</em><em>L</em><em> </em>HLK = ½ × <em>mL</em><em> </em>HJK = ½×146=73°
Answer:
Identity property of multiplication
Step-by-step explanation:
From step 5:

Here, to solve for x so that the variable x stands alone, Alberto uses the identity property of multiplication, which justifies what he has in step 6.
Step 6:

According to the identity property of multiplication, any value you multiply by 1 gives you that same value.
Therefore, 1x = 1 × x = x.
The variable x multiplied by 1 will give you x.
Answer:
240 square feet
Step-by-step explanation:
Hello, I can help you with this
Step one
find the real scale
According to the data
scale is 1 in : 2 ft
also remember 1ft=12 inches
so
scale is 1in: 2(12 inches)
scale is 1 in :24 in
the purpose of use inches a unit in both sides is to eliminate the, the scale must be adimensional
so escales is
1:24 , this means, that a measure on the blueprint must be multiplied by 24 to know its real value
Step 2
with the escale find the real dimensions, you can use a rule of three
Abraham's bedroom is 6 inches wide
blueprint ⇔ bedroom
1 in ⇔ 24 in
6 in ⇔x
x=(6*24)/1
x=144 inches=12 ft
Abraham's bedroom is 10 inches long
1 in ⇔ 24 in
10 in ⇔y
y=(10*24)/1
x=240 inches=20 ft
Step 3
find the area
the area is wide *long
area=x*y
area=12ft*20ft
area=240 square feet.
Have a good day
Well, to find out how many times 20.4 can split into 3.4, you need to divide 20.4÷3.4 and you will get 6, and Katrin (K-A-T-R-I-N) is 6 letters, so you have enough room, the answer is yes.