Answer:
(a,b) is the mid-point of Line segment joining the points A(10,−6) and B(k,4)
So,
a=
2
10+k
and b=
2
−6+4
=−1
It is given that,
a−2b=18
Put b=−1
a−2(−1)=18
a=18−2=16
Now,
a=
2
10+k
16=
2
10+k
k+10=32
k=22
Step-by-step explanation:
it is good
Answer: the second one
Step-by-step explanation:
Part 1)
coordinates of the center (8,5)
radius=6 in
is cut into 8 equal slices-----> 360°/8-----> 45° each slice
a) equation of a circumference
(x-h)²+(y-k)²=r²--------> (x-8)²+(y-5)²=6²
b) circumference=2*pi*r-----> 2*pi*6---> 37.68 in
if 360° (full circle) has a length of---------> 37.68 in
90° (2 pieces together)---------> x
x=90*37.68/360-----> x=9.42 in
<span>the measure of the arc that 2 pieces together would intercept is 9.42 in
</span>
c) The central angle of one slice is 45 degrees
Answer:
49 + 28 = 7(7 + 4)
Step-by-step explanation:
49 bags of soil one week
28 bags of soil the next week
49 + 28 bags of soil purchased in total
Find the GCF (Greatest Common Factor) of 49 and 28.
49/7 = 7
28/7 = 4 (GCF is 7 since it is the largest number that can divide both 49 and 28 equally)
Factor out the GCF + rewrite division above (optional for visualization)
49/7 = 7 -> 49 = 7 * 7
28/7 = 4 -> 28 = 7 * 4
49 + 28 = 7(7 + 4)
Let me know if you have any questions!
Y = 2(5x^2+1 + x^2+4)
plus in 5 for x, then get 31 feet