I got this. Bottom of the triangle. that flat line is 180 degrees. you have an angle of 120, leaving an angle of 60. if you look at the top, that angle matches the other. so you have 65 degrees on one side, and 60 on the other. so 180-65-60=55. so X=55
Answer:
y = 18 and x = -2
Step-by-step explanation:
y = x^2+bx+c To find the turning point, or vertex, of this parabola, we need to work out the values of the coefficients b and c. We are given two different solutions of the equation. First, (2, 0). Second, (0, -14). So we have a value (-14) for c. We can substitute that into our first equation to find b. We can now plug in our values for b and c into the equation to get its standard form. To find the vertex, we can convert this equation to vertex form by completing the square. Thus, the vertex is (4.5, –6.25). We can confirm the solution graphically Plugging in (2,0) :
y=x2+bx+c
0=(2)^2+b(2)+c
y=4+2b+c
-2b=4+c
b=-2+2c
Plugging in (0,−14) :
y=x2+bx+c
−14=(0)2+b(0)+c
−16=0+b+c
b=16−c
Now that we have two equations isolated for b , we can simply use substitution and solve for c . y=x2+bx+c 16 + 2 = y y = 18 and x = -2
Answer:
Alrighty! So this is what we know:
Slope (m) = (-4)
Co-ordinate (0,3)
Co-ordinate 2 (6,t)
t = ?
Let's find our equation...
y=mx+b <-- just plug what we know in...
3=(-4)0+b
3=0+b
b=3
We just found b! woohoo
Now what is t? t is a value we need to know WHICH IS the y value of a co-ordinate that corresponds to when x is 6, as we know a co-ordinate is expressed as --> (x value, y value).
SO-
t=y
plug it in our equation...
y=mx+b
t=(-4)x+3
t=(-4)(6)+3
t=(-24)+3
t=(-21)
SOOOOOOOO WE HAVE OUR T!! just write a therefore statement like "therefore the value of t is -21." and you're set! hope this helped, any questions? ask in the comment section. :)
Step-by-step explanation:
Y = mx+b m is slope x is a point you choose and b is the y intercept.
Answer:
Step-by-step explanation:
The math club makes 35 bars of laundry soap a week and sells these at $20 each. This means that the total number of bars of laundry soap made in a 4 week month would be
4 × 35 = 140 bars
If the pupils found that 6 bars were destroyed by mice, the total number of bars of soap left would be
140 - 6 = 134 bars
Therefore, the total sale at the end of a four week month would be
134 × 20 = $2680
