Answer:
C. The functions have the same y-intercept
Step-by-step explanation:
In slope intercept form, y = mx + b, b represents the y-intercept, and in the first function the y-intercept is 10.
The y-intercept is when x = 0, and in the chart, when x equals 0, y equals 10.
10 = 10, so they have the same y-intercept.
Answer:
Well, that is simple. You first must find the slope of the line from the 2 given points by using the slope formula. Which is y2-y1/x2-x1. So 2-4/-2-2 which equals -2/-4 which is 1/2. So the slope is 1/2. Now we can use the slope intercept form which is y=mx+b to find the slope equation. So we plug in one the points, say (2,4) and get y=1/2x+3. So now we plug in (6,y) Since we know x we can find y. y=1/2(6)+3 which gives us y=6. So y is 6.
Answer:
-2. 46
- 9.54
Step-by-step explanation:
- 2x²+12x-7=0
- 2x²+12x+18= 25
- 2*(x²+6x+9)=25
- 2*(x+6)²= 5²
- x+6= 5√2/2 ⇒ x= 5√2/2 -6 ≈ -2. 46
- x+6= -5√2/2 ⇒ x= -5√2/2 -6 ≈ - 9.54
Answer:
31.5 units^2
Step-by-step explanation:
Rectangle area (RA) = l × w
Triangle area (TA) = (bh)/2
RA = 3 × 7
RA = 21
TA = (7 × 3)/2
TA = 21/2
TA = 10.5
(Triangles are congruent as shown by the lines on each side of the triangle so I can calculate area of both of them together as I just did)
Add areas together
21 + 10.5 = 31.5
Answer:
p * s(3) + b
Step-by-step explanation: