Answer:
x=1/8y+9/8
y=<u>y=−8x+9</u>
Step-by-step explanation:
<u>Let's solve for y.</u>
<u>8x+y=9</u>
<u>Step 1: Add -8x to both sides.</u>
<u>8x+y+−8x=9+−8x</u>
<u>y=−8x+9</u>
<u />
<u>Let's solve for x.</u>
<u>8x+y=9</u>
<u>Step 1: Add -y to both sides.</u>
<u>8x+y+−y=9+−y</u>
<u>8x=−y+9</u>
<u>Step 2: Divide both sides by 8.</u>
<u>8x/8=−y+9/8</u>
<u>x=−1/8y+9/8</u>
<u />
<u />
Answer:
(a) 4
(b) 2√3
(c) 60°
(d) 120°
Step-by-step explanation:
(a) The relationship between tangents and secants is ...
CB^2 = CD·CA
Filling in the given values, we find ...
CB^2 = 2·(2+6) = 16
CB = √16 = 4
The length of BC is 4 units.
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(b) Triangle ABC is a right triangle, so the sides of it satisfy the Pythagorean theorem.
CA^2 = CB^2 +AB^2
8^2 = 16 +AB^2
AB = √48 = 4√3
The radius is half the length of AB, so the radius is 2√3.
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(c) The measure of angle C can be determined from the cosine relation:
cos(C) = CB/CA = 4/8 = 1/2
C = arccos(1/2) = 60°
The measure of angle C is 60°.
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(d) Arc AD is intercepted by angle ABD, which has the same measure as angle C. Hence the measure of arc AD is twice the measure of angle C.
The measure of arc AD is 120°.
Answer:
x=5, y=8
Step-by-step explanation:
Since both equations equal y, we can set them equal
y = x + 3
y = 2x - 2
x+3 = 2x-2
Subtract x from each side
x-x+3 = 2x-x-2
3 = x-2
Add 2 to each side
3+2= x-2+2
5 =x
Now we need to find y
y =x+3
y=5+3
y=8
Alicia : y = 43 x
For x = 1 ( 1 hour ):
y = 43 miles, v = 43 mph
Trish: 69 = v * 1.5
v = 69 : 1.5
v = 46 mph
Alicia: 43 mph
Trish: 46 mph
The woman who drives at a slower rate is : A ( Alicia )
The parent graph would be f(x) = sin(x).
The 16 coefficient represents a vertical stretch because the y-values of the graph expand out further. That is, on the parent graph, f(pi/2) = 1 while on the the function 16sin(x), f(pi/2) = 16. As you can see the graph is stretched out vertically.
