Answer:
m = 6 7/8 or 55/8.
Step-by-step explanation:
6= m - 7/8
6 + 7/8 = m - 7/8 + 7/8
m = 6 7/8 or 55/8.
Answer:
x = -2
Step-by-step explanation:
f(x) = -3x + 3
f(x) = 9
-3x + 3 = 9
Subtract 3 from both sides;
-3x = 6
Divide both sides by -3
x = -2
I would use the pythagorean theorem to find the lengths of each side. a² + b² = c².
Side AB is one we're looking for. If you make other right triangle with that same side you can see that one length is 4 and the other is 3. So, 4² + 3² = c² → 25 = c² → 5 = c. Side AB is length 5.
Side AC is another. Do the same with that side and you get that one length is 4 and the other is 3. (This is the same one as above) so side AC is length 5.
Side BC is the last one. One of the lengths is 1 and the other is 1 → 1² + 1² = c² → 2 = c² → 1.414213562 = c so side BC is approximately length 1.41.
Add each length up and you get a perimeter of roughly 11.4
Let m be the slope:
m=(y₂-y₁)/(x₂-x₁)
solve for c:
1/6=(9-c)/(1-7)
1/6=(9-c)/-6
-1=9-c
-10=-c
c=10
Answer:
A
Step-by-step explanation:
In the slope-intercept form (y=mx+c), the coefficient of x is the slope and c is the y-intercept.
<u>g(x)= -6x +3</u>
Slope= -6
y- intercept= 3
<u>f(x)</u>
y- intercept is the point at which the graph cuts through the y- axis, and it occurs at x= 0.
The two points on the graph are (0, 3) and (1, 1).
slope
![= \frac{y1 - y2}{x1 - x2}](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7By1%20-%20y2%7D%7Bx1%20-%20x2%7D%20)
![= \frac{3 - 1}{0 - 1}](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B3%20-%201%7D%7B0%20-%201%7D%20)
![= \frac{2}{ - 1}](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B2%7D%7B%20-%201%7D%20)
= -2
y- intercept= 3
Thus, both have different slopes but the same y-intercepts.