Answer:
the distance is 16
Step-by-step explanation:
Hi there!
We are given point A (-4,-13) and point B (-4,3). We need to find the distance between those two points
the distance formula is given as 
where (
,
) and (
, 
) are points
we are given 2 points, which is what we need for the formula. However, let's label the values of the points to avoid any confusion
=-4
=-13
=-4
=3
now substitute those values into the formula. Remember: the formula uses SUBTRACTION.
simplify
now add the values inside the parenthesis that are under the radical
raise everything under the radical to the second power
add under the radical
now take the square root of 256
=16
so the distance between point A and point B is <u>16</u>
Hope this helps! :)
Multiply both sides by 7.
-5 * 7 = c/7 * 7
-5 * 7 = c
c = -35
Your final answer is c = -35.
Answer:
<h3>x = 27</h3>
Step-by-step explanation:
Given the expression 
, we are to find the value of x in the expression. This is as shown below;
add 22 to both sides
divide both sides by 2
raise both sides to the power of 3/5
![(x^{5/3})^{3/5} = (243)^{3/5}\\x = (\sqrt[5]{243}) ^3\\x = 3^3\\x = 27](https://tex.z-dn.net/?f=%28x%5E%7B5%2F3%7D%29%5E%7B3%2F5%7D%20%3D%20%28243%29%5E%7B3%2F5%7D%5C%5Cx%20%3D%20%28%5Csqrt%5B5%5D%7B243%7D%29%20%5E3%5C%5Cx%20%3D%203%5E3%5C%5Cx%20%3D%2027)
Hence the value of x is 27
Answer:
Both Scott and Tara have responded correctly.
Step-by-step explanation:
we know that
The area of a trapezoid is equal to
A=(1/2)[b1+b2]h
we have
b1=16 cm
b2=24 cm
h=8 cm -----> <em>Note</em> The height is 8 cm instead of 18 cm
substitute
A=(1/2)[16+24](8)
A=160 cm²
<em>Verify Scott 's work</em>
<em>Note</em> Scott wrote A = (1/2)(24 + 16)(8) instead of A = 2(24 + 16)(8)
Remember that the Commutative Property establishes "The order of the addends does not alter its result"
so
(24+16)=(16+24)
A = (1/2)(24 + 16)(8)=160 cm²
<em>Verify Tara's work</em>
<em>Note</em> Tara wrote A = (1/2)(16+24)(8) instead of A = (16 + 24)(8)
A = (1/2)(16+24)(8)=160 cm²
$1.19 each to download songs
n = number of downloaded songs
C = 1.19n
The answer would be A. C = 1.19n. Hope this helps!
