Answer:
y=3x+9
Explanation:
To answer this question, we first have to understand a few key concepts.
1) The equation given (y=3x+9) is written in slope-intercept form, which is y=mx+b.
Heres what the variables mean:
Y=the coordinate
M=the slope
X=the x coordinate
B=the y-intercept (the point on the line that intercepts the y-axis)
2) Parallel lines have the same slope. Using the given equation, we now know that the slope of line s is 3. Therefore, the slope of line t is also 3 (because they are parallel).
So now, this is our equation so far:
y=3x+b
All we need to do now is find b, which we can do by plugging in the coordinate (-6,-9) as the x and y variables.
y=3x+b
-9=3(-6)+b
-9=-18+b
Add 18 to both sides
-9+18=-18+b+18
9=b
And when we plug 9 into y=3x+b, we get:
y=3x+9
(And yes, they are pretty much the same line)
I hope this helps! Please comment if you have any questions.
Answer:
−16,848
Step-by-step explanation:
firstly, evalute whatever is in the parentheses. [3.5 minus 56 equals "-32.5" then the next [-3.4+515 equals "518.4"
then multiply the two numbers: "-32.5 × 518.4"
−16,848 is the answer.. its definitely a weird question.
That's the cosine x. The cosine of 0 is 1, so that's how you can tell. The sin of 0 is 0, so that's where the sin graph goes through the y axis
Answer:
x = 8.69
Step-by-step explanation:
we know that the perimeter of the dodecagon is 54, so each edge will be 54/12
54/12 = 4.5 cm
if we draw the lines to remove 6 vertices and form a hexagon, 6 triangles with 2 sides of 4.5 cm are formed.
we know that the angle of each vertex is 150 ° because it is a dodecagon
if we apply the law of cosines we can take the other side of the triangle, since we only need 2 side and the opposite angle to the side we want to know
a would be our x
b = 4.5
c = 4.5
A = 150°
a^2 = b^2 + c^2 - 2bc * cos (A)
x^2 = 4.5^2 + 4.5^2 - 2 * 4.5 * 4.5 * cos (150)
x^2 = 20.25 + 20.25 - 40.50 * -0.866
x^2 = 40.50 + 35.07
x = √ 75.57
x = 8.69
Answer:
19.34cm
Step-by-step explanation:
Rigth Angled triangle
use SOHCAHTOA
Cos°=adj/hyp
Cos 71=6.3/BC
BC=6.3/COS 71
COS 71°= 0.3256
BC=6.3/0.3256
BC= 19.34cm
